%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV880-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:27:38 PM UTC 2026
% Result : Unsatisfiable 1.99s 2.67s
% Output : CNFRefutation 2.93s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 532)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_inj__on__image__iff_6,axiom,
( c_Fun_Oinj__on(X1,X2,X4,X5)
| hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X3,X1,X4,X5)) != hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X3,X1,X4,X5))
| hAPP(X1,hAPP(X3,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X3,X1,X4,X5))) != hAPP(X1,hAPP(X3,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X3,X1,X4,X5)))
| ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X3,X2,X4,X4),X4,X5)
| ~ c_Fun_Oinj__on(X3,X2,X4,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__image__iff_6) ).
cnf(cls_inj__on__image__iff_7,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oimage(X3,X2,X4,X4),X4,X5)
| hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X3,X1,X4,X5)) != hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X3,X1,X4,X5))
| hAPP(X1,hAPP(X3,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X3,X1,X4,X5))) != hAPP(X1,hAPP(X3,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X3,X1,X4,X5)))
| ~ c_Fun_Oinj__on(X1,X2,X4,X5)
| ~ c_Fun_Oinj__on(X3,X2,X4,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__image__iff_7) ).
cnf(cls_fold__graph_H_Ointros_I2_J_0,axiom,
( c_Nitpick_Ofold__graph_H(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)
| ~ c_Nitpick_Ofold__graph_H(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),tc_fun(X6,tc_bool)),X5,X6,X7)
| ~ c_in(X4,X3,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fold__graph_H_Ointros_I2_J_0) ).
cnf(cls_Diff1__fold__graph_0,axiom,
( c_Finite__Set_Ofold__graph(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)
| ~ c_in(X4,X3,X6)
| ~ c_Finite__Set_Ofold__graph(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),tc_fun(X6,tc_bool)),X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff1__fold__graph_0) ).
cnf(cls_inj__on__image__iff_4,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X5,X1,X3,X4)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X5,X1,X3,X4))
| hAPP(X1,hAPP(X5,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X5,X1,X3,X4))) = hAPP(X1,hAPP(X5,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X5,X1,X3,X4)))
| ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X5,X2,X3,X3),X3,X4)
| ~ c_Fun_Oinj__on(X5,X2,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__image__iff_4) ).
cnf(cls_inj__on__image__iff_5,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
| hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5))
| hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))) = hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5)))
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X2,X3,X4,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__image__iff_5) ).
cnf(cls_fold__graph_OinsertI_0,axiom,
( c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,X4,X5),hAPP(hAPP(X1,X3),X6),X5,X7)
| c_in(X3,X4,X5)
| ~ c_Finite__Set_Ofold__graph(X1,X2,X4,X6,X5,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fold__graph_OinsertI_0) ).
cnf(cls_empty__fold__graphE_0,axiom,
( X1 = X2
| ~ c_Finite__Set_Ofold__graph(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__fold__graphE_0) ).
cnf(cls_fold__graph__imp__finite_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofold__graph(X3,X4,X1,X5,X2,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fold__graph__imp__finite_0) ).
cnf(cls_image__subset__iff_2,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ c_in(hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(X2,X5,X1,X3,X4)),X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__subset__iff_2) ).
cnf(cls_image__subsetI_1,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ c_in(hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(X2,X5,X1,X3,X4)),X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__subsetI_1) ).
cnf(cls_fun__upd__twist_0,axiom,
( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X7,X4,X5) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X6,X7,X4,X5),X2,X3,X4,X5)
| X2 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__twist_0) ).
cnf(cls_fold__graph_H_Ointros_I1_J_0,axiom,
c_Nitpick_Ofold__graph_H(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fold__graph_H_Ointros_I1_J_0) ).
cnf(cls_fold__graph_OemptyI_0,axiom,
c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fold__graph_OemptyI_0) ).
cnf(cls_fun__upd__upd_0,axiom,
c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5) = c_Fun_Ofun__upd(X1,X2,X6,X4,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__upd_0) ).
cnf(cls_fun__upd__image_0,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oinsert(X3,c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X6,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_in(X2,X6,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__image_0) ).
cnf(cls_image__Int__subset_0,axiom,
c_lessequals(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5)),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__Int__subset_0) ).
cnf(cls_inj__on__image__iff_2,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X5,X1,X3,X4),X2,X3)
| ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X5,X2,X3,X3),X3,X4)
| ~ c_Fun_Oinj__on(X5,X2,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__image__iff_2) ).
cnf(cls_inj__on__image__iff_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X5,X1,X3,X4),X2,X3)
| ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X5,X2,X3,X3),X3,X4)
| ~ c_Fun_Oinj__on(X5,X2,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__image__iff_0) ).
cnf(cls_inj__on__image__iff_3,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
| c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5),X3,X4)
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X2,X3,X4,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__image__iff_3) ).
cnf(cls_inj__on__image__iff_1,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
| c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5),X3,X4)
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X2,X3,X4,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__image__iff_1) ).
cnf(cls_inj__on__fun__updI_0,axiom,
( c_Fun_Oinj__on(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5)
| c_in(X3,c_Set_Oimage(X1,X6,X4,X5),X5)
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__fun__updI_0) ).
cnf(cls_finite__subset__image_2,axiom,
( X1 = c_Set_Oimage(X2,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X3,X1,X2,X4,X5),X4,X5)
| ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__subset__image_2) ).
cnf(cls_finite__subset__image_0,axiom,
( c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,X2,X3,X4,X5),X1,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,c_Set_Oimage(X3,X1,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__subset__image_0) ).
cnf(cls_finite__subset__image_1,axiom,
( c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,X2,X3,X4,X5),X4)
| ~ c_lessequals(X2,c_Set_Oimage(X3,X1,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__subset__image_1) ).
cnf(cls_inv__into__injective_0,axiom,
( X5 = X6
| hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5) != hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X6)
| ~ c_in(X6,c_Set_Oimage(X2,X1,X3,X4),X4)
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inv__into__injective_0) ).
cnf(cls_inj__on__insert_1,axiom,
( ~ c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__insert_1) ).
cnf(cls_image__subset__iff_1,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| c_in(c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(X2,X5,X1,X3,X4),X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__subset__iff_1) ).
cnf(cls_image__subsetI_0,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| c_in(c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(X2,X5,X1,X3,X4),X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__subsetI_0) ).
cnf(cls_image__diff__subset_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__diff__subset_0) ).
cnf(cls_fun__upd__image_1,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oimage(X1,X6,X4,X5)
| c_in(X2,X6,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__image_1) ).
cnf(cls_inj__on__image__Int_0,axiom,
( c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))
| ~ c_lessequals(X4,X6,tc_fun(X2,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__image__Int_0) ).
cnf(cls_weak__coinduct__image_0,axiom,
( c_in(hAPP(X1,X2),c_Inductive_Ocomplete__lattice__class_Ogfp(X3,tc_fun(X4,tc_bool)),X4)
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),hAPP(X3,c_Set_Oimage(X1,X5,X6,X4)),tc_fun(X4,tc_bool))
| ~ c_in(X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_weak__coinduct__image_0) ).
cnf(cls_card__bij__eq_0,axiom,
( c_Finite__Set_Ocard(X1,X2) = c_Finite__Set_Ocard(X3,X4)
| ~ c_Finite__Set_Ofinite(X3,X4)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(c_Set_Oimage(X5,X3,X4,X2),X1,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X5,X3,X4,X2)
| ~ c_lessequals(c_Set_Oimage(X6,X1,X2,X4),X3,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X6,X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_card__bij__eq_0) ).
cnf(cls_image__Int_0,axiom,
( c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__Int_0) ).
cnf(cls_inj__on__insert_2,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__insert_2) ).
cnf(cls_the__inv__into__into_0,axiom,
( c_in(hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),X5),X6,X3)
| ~ c_lessequals(X1,X6,tc_fun(X3,tc_bool))
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_the__inv__into__into_0) ).
cnf(cls_fun__upd__other_0,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__other_0) ).
cnf(cls_fun__upd__apply_1,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__apply_1) ).
cnf(cls_fun__upd__apply_0,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__apply_0) ).
cnf(cls_fun__upd__same_0,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__same_0) ).
cnf(cls_f__the__inv__into__f_0,axiom,
( hAPP(X1,hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5)) = X5
| ~ c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_f__the__inv__into__f_0) ).
cnf(cls_inj__image__subset__iff_0,axiom,
( 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))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__subset__iff_0) ).
cnf(cls_vimage__Int_0,axiom,
c_Set_Ovimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X5,X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,X3,X5,X2)),c_Set_Ovimage(X1,X4,X5,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__Int_0) ).
cnf(cls_finite__subset__induct_4,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4)))
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__subset__induct_4) ).
cnf(cls_inj__on__image__set__diff_0,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X6,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__image__set__diff_0) ).
cnf(cls_vimage__subsetI_0,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__subsetI_0) ).
cnf(cls_image__set__diff_0,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__set__diff_0) ).
cnf(cls_inv__into__into_0,axiom,
( c_in(hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5),X1,X3)
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inv__into__into_0) ).
cnf(cls_fun__upd__idem__iff_0,axiom,
( hAPP(X1,X2) = X3
| c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__idem__iff_0) ).
cnf(cls_f__inv__into__f_0,axiom,
( hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),X5)) = X5
| ~ c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_f__inv__into__f_0) ).
cnf(cls_image__inv__f__f_0,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__inv__f__f_0) ).
cnf(cls_inv__image__comp_0,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inv__image__comp_0) ).
cnf(cls_inv__into__image__cancel_0,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X5,X3,X4),X4,X3) = X5
| ~ c_lessequals(X5,X1,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inv__into__image__cancel_0) ).
cnf(cls_vimage__code_0,axiom,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__code_0) ).
cnf(cls_inj__image__subset__iff_1,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))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__subset__iff_1) ).
cnf(cls_inj__on__inv__into_0,axiom,
( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X4,X3)
| ~ c_lessequals(X5,c_Set_Oimage(X2,X1,X3,X4),tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__inv__into_0) ).
cnf(cls_the__inv__into__onto_0,axiom,
( c_Set_Oimage(c_Fun_Othe__inv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3) = X1
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_the__inv__into__onto_0) ).
cnf(cls_inj__on__the__inv__into_0,axiom,
( c_Fun_Oinj__on(c_Fun_Othe__inv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3)
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__the__inv__into_0) ).
cnf(cls_setsum__diff_0,axiom,
( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X2,X3,X5,X1),c_Finite__Set_Osetsum(X2,X4,X5,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1)
| ~ c_lessequals(X4,X3,tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_setsum__diff_0) ).
cnf(cls_endo__inj__surj_0,axiom,
( c_Set_Oimage(X1,X2,X3,X3) = X2
| ~ c_Fun_Oinj__on(X1,X2,X3,X3)
| ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X3),X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_endo__inj__surj_0) ).
cnf(cls_image__vimage__subset_0,axiom,
c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__vimage__subset_0) ).
cnf(cls_vimage__singleton__eq_0,axiom,
( hAPP(X1,X2) = X3
| ~ c_in(X2,c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__singleton__eq_0) ).
cnf(cls_setsum__diff1__ring_0,axiom,
( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X2,X3,X5,X1),hAPP(X2,X4),X1)
| ~ class_Ring__and__Field_Oring(X1)
| ~ c_in(X4,X3,X5)
| ~ c_Finite__Set_Ofinite(X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_setsum__diff1__ring_0) ).
cnf(cls_setsum__diff1_0,axiom,
( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X2,X3,X5,X1),hAPP(X2,X4),X1)
| ~ class_OrderedGroup_Oab__group__add(X1)
| ~ c_in(X4,X3,X5)
| ~ c_Finite__Set_Ofinite(X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_setsum__diff1_0) ).
cnf(cls_image__vimage__eq_0,axiom,
c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__vimage__eq_0) ).
cnf(cls_vimage__Diff_0,axiom,
c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__Diff_0) ).
cnf(cls_psubset__insert__iff_9,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__insert__iff_9) ).
cnf(cls_inj__image__mem__iff_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__mem__iff_0) ).
cnf(cls_psubset__insert__iff_8,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__insert__iff_8) ).
cnf(cls_psubset__insert__iff_5,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X3,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__insert__iff_5) ).
cnf(cls_psubset__insert__iff_4,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X3,X4)
| ~ c_in(X2,X1,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__insert__iff_4) ).
cnf(cls_subset__insert__iff_4,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_4) ).
cnf(cls_subset__insert__iff_3,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_3) ).
cnf(cls_diff__single__insert_0,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__single__insert_0) ).
cnf(cls_inj__image__eq__iff_0,axiom,
( X2 = X5
| c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__eq__iff_0) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_fun__upd__idem__iff_1,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__idem__iff_1) ).
cnf(cls_fun__upd__triv_0,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__triv_0) ).
cnf(cls_fun__upd__idem_0,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__idem_0) ).
cnf(cls_inj__vimage__image__eq_0,axiom,
( c_Set_Ovimage(X1,c_Set_Oimage(X1,X2,X3,X4),X3,X4) = X2
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__vimage__image__eq_0) ).
cnf(cls_finite__imageD_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X3,X1,X2,X4)
| ~ c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__imageD_0) ).
cnf(cls_image__mono_0,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__mono_0) ).
cnf(cls_subset__image__iff_2,axiom,
( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__image__iff_2) ).
cnf(cls_vimage__mono_0,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__mono_0) ).
cnf(cls_finite__surj__inj_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X3)
| ~ c_lessequals(X2,c_Set_Oimage(X1,X2,X3,X3),tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__surj__inj_0) ).
cnf(cls_setsum__diff1_1,axiom,
( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_Finite__Set_Osetsum(X2,X3,X5,X1)
| c_in(X4,X3,X5)
| ~ class_OrderedGroup_Oab__group__add(X1)
| ~ c_Finite__Set_Ofinite(X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_setsum__diff1_1) ).
cnf(cls_vimage__code_1,axiom,
( hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))
| ~ hBOOL(hAPP(X2,hAPP(X1,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__code_1) ).
cnf(cls_Int__assoc_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__assoc_0) ).
cnf(cls_inj__image__mem__iff_1,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__mem__iff_1) ).
cnf(cls_setsum__diff1__nat_1,axiom,
( c_Finite__Set_Osetsum(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,tc_nat) = c_Finite__Set_Osetsum(X1,X2,X4,tc_nat)
| c_in(X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_setsum__diff1__nat_1) ).
cnf(cls_min__max_Odistrib__sup__le_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Orderings_Oord__class_Omax(X2,X3,X1)),c_Orderings_Oord__class_Omax(X2,X4,X1)),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Odistrib__sup__le_0) ).
cnf(cls_inv__f__f_0,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inv__f__f_0) ).
cnf(cls_inv__f__eq_0,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4)) = X4
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inv__f__eq_0) ).
cnf(cls_the__inv__f__f_0,axiom,
( hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_the__inv__f__f_0) ).
cnf(cls_Diff__Int__distrib2_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool))),X4) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__Int__distrib2_0) ).
cnf(cls_eq__card__imp__inj__on_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) != c_Finite__Set_Ocard(X2,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__card__imp__inj__on_0) ).
cnf(cls_psubset__insert__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_in(X2,X4,X3)
| ~ c_in(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__insert__iff_1) ).
cnf(cls_vimage__singleton__eq_1,axiom,
c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4,X3),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__singleton__eq_1) ).
cnf(cls_image__subset__iff_0,axiom,
( c_in(hAPP(X1,X2),X3,X4)
| ~ c_in(X2,X5,X6)
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__subset__iff_0) ).
cnf(cls_subset__insert__iff_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_0) ).
cnf(cls_Diff__Int2_0,axiom,
c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3),tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__Int2_0) ).
cnf(cls_inv__into__f__f_0,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
| ~ c_in(X5,X1,X3)
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inv__into__f__f_0) ).
cnf(cls_inv__into__f__eq_0,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(X2,X4,X3,X5),hAPP(X4,X1)) = X1
| ~ c_in(X1,X2,X3)
| ~ c_Fun_Oinj__on(X4,X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inv__into__f__eq_0) ).
cnf(cls_the__inv__into__f__f_0,axiom,
( hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
| ~ c_in(X5,X1,X3)
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_the__inv__into__f__f_0) ).
cnf(cls_the__inv__into__f__eq_0,axiom,
( hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),hAPP(X1,X5)) = X5
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_in(X5,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_the__inv__into__f__eq_0) ).
cnf(cls_finite__vimageI_0,axiom,
( c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X2,X3,X4),X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
| ~ c_Finite__Set_Ofinite(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__vimageI_0) ).
cnf(cls_inf1E_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X4),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf1E_0) ).
cnf(cls_inf1E_1,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf1E_1) ).
cnf(cls_Diff__Int__distrib_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__Int__distrib_0) ).
cnf(cls_vimageD_0,axiom,
( c_in(hAPP(X1,X2),X3,X4)
| ~ c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimageD_0) ).
cnf(cls_vimageE_0,axiom,
( c_in(hAPP(X1,X2),X3,X4)
| ~ c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimageE_0) ).
cnf(cls_finite__surj_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(X1,c_Set_Oimage(X3,X4,X5,X2),tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__surj_0) ).
cnf(cls_inj__on__iff__eq__card_0,axiom,
( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__iff__eq__card_0) ).
cnf(cls_image__insert_0,axiom,
c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__insert_0) ).
cnf(cls_card__image_0,axiom,
( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_card__image_0) ).
cnf(cls_insert__image_0,axiom,
( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
| ~ c_in(X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__image_0) ).
cnf(cls_min__max_Odistrib__inf__le_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Orderings_Oord__class_Omax(X3,X4,X1)),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Odistrib__inf__le_0) ).
cnf(cls_Int__mono_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,X5,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__mono_0) ).
cnf(cls_Int__left__commute_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__left__commute_0) ).
cnf(cls_doubleton__eq__iff_0,axiom,
( X1 = X5
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_0) ).
cnf(cls_doubleton__eq__iff_1,axiom,
( X2 = X4
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_1) ).
cnf(cls_doubleton__eq__iff_2,axiom,
( X1 = X5
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_2) ).
cnf(cls_doubleton__eq__iff_3,axiom,
( X2 = X4
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_3) ).
cnf(cls_Diff__insert2_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__insert2_0) ).
cnf(cls_finite__subset__induct_2,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4)
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__subset__induct_2) ).
cnf(cls_inj__on__insert_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__insert_0) ).
cnf(cls_insert__inter__insert_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),c_Set_Oinsert(X2,X4,X1)) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__inter__insert_0) ).
cnf(cls_inj__on__diff_0,axiom,
( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__diff_0) ).
cnf(cls_Int__insert__left_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1)
| ~ c_in(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__left_0) ).
cnf(cls_finite__Diff__insert_0,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Diff__insert_0) ).
cnf(cls_subset__inj__on_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X5,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__inj__on_0) ).
cnf(cls_insert__Diff_0,axiom,
( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__Diff_0) ).
cnf(cls_inf1I_0,axiom,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4))
| ~ hBOOL(hAPP(X3,X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf1I_0) ).
cnf(cls_insert__Diff__single_0,axiom,
c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__Diff__single_0) ).
cnf(cls_card__Diff__singleton__if_1,axiom,
( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Finite__Set_Ocard(X1,X3)
| c_in(X2,X1,X3)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_card__Diff__singleton__if_1) ).
cnf(cls_rangeI_0,axiom,
c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rangeI_0) ).
cnf(cls_Int__insert__right_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = c_Set_Oinsert(X3,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),X1)
| ~ c_in(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__right_0) ).
cnf(cls_vimageI_0,axiom,
( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| ~ c_in(hAPP(X2,X1),X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimageI_0) ).
cnf(cls_vimageI2_0,axiom,
( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| ~ c_in(hAPP(X2,X1),X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimageI2_0) ).
cnf(cls_vimage__eq_1,axiom,
( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| ~ c_in(hAPP(X2,X1),X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__eq_1) ).
cnf(cls_imageI_0,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_imageI_0) ).
cnf(cls_image__eqI_0,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__eqI_0) ).
cnf(cls_image__iff_2,axiom,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__iff_2) ).
cnf(cls_rev__image__eqI_0,axiom,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
cnf(cls_Int__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__Diff_0) ).
cnf(cls_Int__subset__iff_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__subset__iff_0) ).
cnf(cls_Int__subset__iff_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__subset__iff_1) ).
cnf(cls_finite__Diff__insert_1,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Diff__insert_1) ).
cnf(cls_finite__subset__induct_3,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4)))
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__subset__induct_3) ).
cnf(cls_Diff__mono_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__mono_0) ).
cnf(cls_Diff__insert_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__insert_0) ).
cnf(cls_inj__on__contraD_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__contraD_0) ).
cnf(cls_inj__on__iff_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__iff_0) ).
cnf(cls_inj__on__def_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__def_0) ).
cnf(cls_inj__onD_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__onD_0) ).
cnf(cls_Int__greatest_0,axiom,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__greatest_0) ).
cnf(cls_Int__subset__iff_2,axiom,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__subset__iff_2) ).
cnf(cls_IntE_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntE_0) ).
cnf(cls_IntE_1,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntE_1) ).
cnf(cls_subset__singletonD_0,axiom,
( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__singletonD_0) ).
cnf(cls_Int__left__absorb_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__left__absorb_0) ).
cnf(cls_Int__insert__left_1,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)
| c_in(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__left_1) ).
cnf(cls_finite__subset__induct_1,axiom,
( hBOOL(hAPP(X1,X2))
| c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),X3,X4)
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__subset__induct_1) ).
cnf(cls_image__constant_0,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ c_in(X5,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__constant_0) ).
cnf(cls_min__diff__distrib__left_0,axiom,
( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_HOL_Ominus__class_Ominus(X2,X4,X1)),c_HOL_Ominus__class_Ominus(X3,X4,X1))
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__diff__distrib__left_0) ).
cnf(cls_min__max_Osup__inf__distrib2_0,axiom,
( c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Orderings_Oord__class_Omax(X2,X4,X1)),c_Orderings_Oord__class_Omax(X3,X4,X1))
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__inf__distrib2_0) ).
cnf(cls_min__max_Osup__inf__distrib1_0,axiom,
( c_Orderings_Oord__class_Omax(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Orderings_Oord__class_Omax(X2,X3,X1)),c_Orderings_Oord__class_Omax(X2,X4,X1))
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__inf__distrib1_0) ).
cnf(cls_min__max_Oinf__sup__distrib2_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Orderings_Oord__class_Omax(X2,X3,X1)),X4) = c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__sup__distrib2_0) ).
cnf(cls_doubleton__eq__iff_4,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_4) ).
cnf(cls_finite__imageI_0,axiom,
( c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__imageI_0) ).
cnf(cls_injD_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_injD_0) ).
cnf(cls_IntI_0,axiom,
( c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2)
| ~ c_in(X1,X4,X2)
| ~ c_in(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntI_0) ).
cnf(cls_Int__iff_2,axiom,
( c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2)
| ~ c_in(X1,X4,X2)
| ~ c_in(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__iff_2) ).
cnf(cls_finite__subset__induct_0,axiom,
( hBOOL(hAPP(X1,X2))
| c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4)
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__subset__induct_0) ).
cnf(cls_image__constant__conv_1,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__constant__conv_1) ).
cnf(cls_psubset__insert__iff_7,axiom,
( c_HOL_Oord__class_Oless(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))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__insert__iff_7) ).
cnf(cls_psubset__insert__iff_2,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X1,X3)
| c_in(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__insert__iff_2) ).
cnf(cls_double__diff_0,axiom,
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X3
| ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__diff_0) ).
cnf(cls_vimage__const_0,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__const_0) ).
cnf(cls_empty__is__image_0,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oimage(X2,X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__is__image_0) ).
cnf(cls_image__is__empty_0,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Set_Oimage(X1,X2,X3,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__is__empty_0) ).
cnf(cls_psubset__insert__iff_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__insert__iff_0) ).
cnf(cls_Diff__insert__absorb_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2
| c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__insert__absorb_0) ).
cnf(cls_Int__insert__right_1,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)
| c_in(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__right_1) ).
cnf(cls_insert__Diff__if_1,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| c_in(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__Diff__if_1) ).
cnf(cls_disjoint__iff__not__equal_0,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_disjoint__iff__not__equal_0) ).
cnf(cls_max__diff__distrib__left_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_max__diff__distrib__left_0) ).
cnf(cls_vimage__const_1,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_in(X1,X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__const_1) ).
cnf(cls_image__constant__conv_0,axiom,
c_Set_Oimage(c_COMBK(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__constant__conv_0) ).
cnf(cls_single__Diff__lessThan_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),c_SetInterval_Oord__class_OlessThan(X2,X1),tc_fun(X1,tc_bool)) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_single__Diff__lessThan_0) ).
cnf(cls_min__max_Oinf__sup__distrib1_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Orderings_Oord__class_Omax(X3,X4,X1)) = c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__sup__distrib1_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_1) ).
cnf(cls_singletonE_0,axiom,
( X1 = X2
| ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singletonE_0) ).
cnf(cls_inf__sup__aci_I2_J_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I2_J_0) ).
cnf(cls_inf__assoc_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__assoc_0) ).
cnf(cls_min__max_Oinf__assoc_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__assoc_0) ).
cnf(cls_psubset__insert__iff_3,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| c_in(X2,X3,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__insert__iff_3) ).
cnf(cls_insert__code_0,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).
cnf(cls_insert__mono_0,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__mono_0) ).
cnf(cls_DiffE_1,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DiffE_1) ).
cnf(cls_insert__subset_2,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_2) ).
cnf(cls_psubset__insert__iff_6,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__insert__iff_6) ).
cnf(cls_Max__eqI_1,axiom,
( c_Finite__Set_Olinorder__class_OMax(X2,X1) = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_in(X3,X2,X1)
| ~ c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(X2,X3,X1),X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Max__eqI_1) ).
cnf(cls_Min__eqI_1,axiom,
( c_Finite__Set_Olinorder__class_OMin(X2,X1) = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_in(X3,X2,X1)
| ~ c_lessequals(X3,c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(X2,X3,X1),X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Min__eqI_1) ).
cnf(cls_DiffE_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DiffE_0) ).
cnf(cls_weak__coinduct_0,axiom,
( c_in(X1,c_Inductive_Ocomplete__lattice__class_Ogfp(X2,tc_fun(X3,tc_bool)),X3)
| ~ c_lessequals(X4,hAPP(X2,X4),tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_weak__coinduct_0) ).
cnf(cls_le__max__iff__disj_0,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,c_Orderings_Oord__class_Omax(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__max__iff__disj_0) ).
cnf(cls_less__max__iff__disj_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__max__iff__disj_0) ).
cnf(cls_insert__subset_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_1) ).
cnf(cls_min__le__iff__disj_0,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X4,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X2),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__le__iff__disj_0) ).
cnf(cls_min__less__iff__disj_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X2),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__less__iff__disj_0) ).
cnf(cls_Int__lower1_0,axiom,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__lower1_0) ).
cnf(cls_Int__lower2_0,axiom,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X3,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__lower2_0) ).
cnf(cls_subset__insert_1,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert_1) ).
cnf(cls_subset__insert__iff_2,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_2) ).
cnf(cls_Diff__iff_2,axiom,
( c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__iff_2) ).
cnf(cls_DiffI_0,axiom,
( c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DiffI_0) ).
cnf(cls_insert__Diff1_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__Diff1_0) ).
cnf(cls_Diff__triv_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool)) = X2
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__triv_0) ).
cnf(cls_insert__subset_0,axiom,
( c_in(X1,X2,X3)
| ~ c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_0) ).
cnf(cls_min__max_Ole__sup__iff_2,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__sup__iff_2) ).
cnf(cls_min__max_Osup__least_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__least_0) ).
cnf(cls_min__max_Ole__supI_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__supI_0) ).
cnf(cls_max__less__iff__conj_2,axiom,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_max__less__iff__conj_2) ).
cnf(cls_inf__greatest_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__greatest_0) ).
cnf(cls_le__inf__iff_2,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__inf__iff_2) ).
cnf(cls_le__infI_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__infI_0) ).
cnf(cls_min__max_Oinf__greatest_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__greatest_0) ).
cnf(cls_min__max_Ole__inf__iff_2,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__inf__iff_2) ).
cnf(cls_min__max_Ole__infI_0,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__infI_0) ).
cnf(cls_min__less__iff__conj_2,axiom,
( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__less__iff__conj_2) ).
cnf(cls_singleton__inject_0,axiom,
( X1 = X3
| c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) != c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__inject_0) ).
cnf(cls_min__max_Osup__assoc_0,axiom,
( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__assoc_0) ).
cnf(cls_min__max_Osup__left__commute_0,axiom,
( c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1) = c_Orderings_Oord__class_Omax(X3,c_Orderings_Oord__class_Omax(X2,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__left__commute_0) ).
cnf(cls_image__empty_0,axiom,
c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__empty_0) ).
cnf(cls_vimage__empty_0,axiom,
c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__empty_0) ).
cnf(cls_vimage__UNIV_0,axiom,
c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_vimage__UNIV_0) ).
cnf(cls_empty__is__image_1,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__is__image_1) ).
cnf(cls_Diff__disjoint_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__disjoint_0) ).
cnf(cls_insert__commute_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__commute_0) ).
cnf(cls_finite__Int_0,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Int_0) ).
cnf(cls_finite__Int_1,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Int_1) ).
cnf(cls_subset__trans_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__trans_0) ).
cnf(cls_psubset__subset__trans_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__subset__trans_0) ).
cnf(cls_subset__psubset__trans_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__psubset__trans_0) ).
cnf(cls_psubset__trans_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__trans_0) ).
cnf(cls_le__eqI_1,axiom,
( c_lessequals(X3,X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X5,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__eqI_1) ).
cnf(cls_le__eqI_0,axiom,
( c_lessequals(X5,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__eqI_0) ).
cnf(cls_less__eqI_1,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X4,X5,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__eqI_1) ).
cnf(cls_less__eqI_0,axiom,
( c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__eqI_0) ).
cnf(cls_min__max_Ole__sup__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__sup__iff_0) ).
cnf(cls_min__max_Ole__supE_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__supE_0) ).
cnf(cls_min__max_Ole__sup__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__sup__iff_1) ).
cnf(cls_min__max_Ole__supE_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__supE_1) ).
cnf(cls_max__less__iff__conj_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_max__less__iff__conj_0) ).
cnf(cls_max__less__iff__conj_1,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X4,X2,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_max__less__iff__conj_1) ).
cnf(cls_inf__sup__aci_I3_J_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I3_J_0) ).
cnf(cls_inf__left__commute_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__left__commute_0) ).
cnf(cls_min__max_Oinf__left__commute_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4))
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__left__commute_0) ).
cnf(cls_insertE_0,axiom,
( c_in(X1,X2,X3)
| X1 = X4
| ~ c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertE_0) ).
cnf(cls_le__inf__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1) ),
file('/export/starexec/sandbox2/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,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1) ),
file('/export/starexec/sandbox2/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,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3),X1) ),
file('/export/starexec/sandbox2/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,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__infE_1) ).
cnf(cls_min__max_Ole__inf__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__inf__iff_0) ).
cnf(cls_min__max_Ole__infE_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__infE_0) ).
cnf(cls_min__max_Ole__inf__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__inf__iff_1) ).
cnf(cls_min__max_Ole__infE_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__infE_1) ).
cnf(cls_min__less__iff__conj_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__less__iff__conj_0) ).
cnf(cls_min__less__iff__conj_1,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__less__iff__conj_1) ).
cnf(cls_Diff__idemp_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__idemp_0) ).
cnf(cls_subset__insertI2_0,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).
cnf(cls_finite__Diff2_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Diff2_0) ).
cnf(cls_inj__on__empty_0,axiom,
c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__empty_0) ).
cnf(cls_less__fun__def_2,axiom,
( c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1))
| c_lessequals(X3,X2,tc_fun(X4,X1))
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X3,tc_fun(X4,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__fun__def_2) ).
cnf(cls_Min__eqI_0,axiom,
( c_Finite__Set_Olinorder__class_OMin(X2,X1) = X3
| c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(X2,X3,X1),X2,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_in(X3,X2,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Min__eqI_0) ).
cnf(cls_Max__eqI_0,axiom,
( c_Finite__Set_Olinorder__class_OMax(X2,X1) = X3
| c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(X2,X3,X1),X2,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_in(X3,X2,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Max__eqI_0) ).
cnf(cls_insert__code_2,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).
cnf(cls_Int__commute_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__commute_0) ).
cnf(cls_Max__mono_0,axiom,
( c_lessequals(c_Finite__Set_Olinorder__class_OMax(X2,X1),c_Finite__Set_Olinorder__class_OMax(X3,X1),X1)
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Max__mono_0) ).
cnf(cls_Min__antimono_0,axiom,
( c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X1),c_Finite__Set_Olinorder__class_OMin(X3,X1),X1)
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1)
| ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Min__antimono_0) ).
cnf(cls_insert__ident_0,axiom,
( c_in(X1,X4,X3)
| c_in(X1,X2,X3)
| X2 = X4
| c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__ident_0) ).
cnf(cls_Int__empty__left_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__empty__left_0) ).
cnf(cls_Int__absorb2_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = X2
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__absorb2_0) ).
cnf(cls_Int__absorb1_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = X3
| ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__absorb1_0) ).
cnf(cls_lessThan__subset__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(X2,X1),c_SetInterval_Oord__class_OlessThan(X3,X1),tc_fun(X1,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lessThan__subset__iff_0) ).
cnf(cls_singleton__iff_1,axiom,
c_in(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__iff_1) ).
cnf(cls_set__mp_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__mp_0) ).
cnf(cls_subsetD_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subsetD_0) ).
cnf(cls_set__rev__mp_0,axiom,
( c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__rev__mp_0) ).
cnf(cls_subset__iff_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__iff_0) ).
cnf(cls_psubsetD_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubsetD_0) ).
cnf(cls_less__fun__def_1,axiom,
( ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X3,tc_fun(X4,X1))
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_fun(X4,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__fun__def_1) ).
cnf(cls_Max__insert_0,axiom,
( c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X2,X3,X1),X1) = c_Orderings_Oord__class_Omax(X2,c_Finite__Set_Olinorder__class_OMax(X3,X1),X1)
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Max__insert_0) ).
cnf(cls_card__eq__UNIV__imp__eq__UNIV_0,axiom,
( X1 = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))
| c_Finite__Set_Ocard(X1,X2) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_card__eq__UNIV__imp__eq__UNIV_0) ).
cnf(cls_Min__insert_0,axiom,
( c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X2,X3,X1),X1) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Finite__Set_Olinorder__class_OMin(X3,X1))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Min__insert_0) ).
cnf(cls_le__max__iff__disj_1,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__max__iff__disj_1) ).
cnf(cls_min__max_Ole__supI1_0,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__supI1_0) ).
cnf(cls_le__max__iff__disj_2,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__max__iff__disj_2) ).
cnf(cls_min__max_Ole__supI2_0,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__supI2_0) ).
cnf(cls_less__max__iff__disj_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__max__iff__disj_1) ).
cnf(cls_min__max_Oless__supI1_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oless__supI1_0) ).
cnf(cls_less__max__iff__disj_2,axiom,
( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__max__iff__disj_2) ).
cnf(cls_min__max_Oless__supI2_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oless__supI2_0) ).
cnf(cls_le__infI1_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__infI1_0) ).
cnf(cls_le__infI2_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__infI2_0) ).
cnf(cls_min__le__iff__disj_1,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__le__iff__disj_1) ).
cnf(cls_min__max_Ole__infI1_0,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__infI1_0) ).
cnf(cls_min__le__iff__disj_2,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__le__iff__disj_2) ).
cnf(cls_min__max_Ole__infI2_0,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__infI2_0) ).
cnf(cls_less__infI1_0,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__infI1_0) ).
cnf(cls_less__infI2_0,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__infI2_0) ).
cnf(cls_min__less__iff__disj_1,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__less__iff__disj_1) ).
cnf(cls_min__max_Oless__infI1_0,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oless__infI1_0) ).
cnf(cls_min__less__iff__disj_2,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__less__iff__disj_2) ).
cnf(cls_min__max_Oless__infI2_0,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oless__infI2_0) ).
cnf(cls_Int__UNIV__left_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__UNIV__left_0) ).
cnf(cls_insertCI_0,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_0) ).
cnf(cls_insert__iff_2,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_2) ).
cnf(cls_equalityI_0,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityI_0) ).
cnf(cls_set__eq__subset_2,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).
cnf(cls_card__insert__if_0,axiom,
( c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Finite__Set_Ocard(X2,X3)
| ~ c_in(X1,X2,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_card__insert__if_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_conjecture_1,negated_conjecture,
v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_le__funD_0,axiom,
( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__funD_0) ).
cnf(cls_xt1_I6_J_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I6_J_0) ).
cnf(cls_order__trans_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__trans_0) ).
cnf(cls_xt1_I8_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I8_J_0) ).
cnf(cls_xt1_I7_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I7_J_0) ).
cnf(cls_xt1_I10_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I10_J_0) ).
cnf(cls_order__less__le__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__le__trans_0) ).
cnf(cls_order__le__less__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__less__trans_0) ).
cnf(cls_order__less__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__trans_0) ).
cnf(cls_Min__singleton_0,axiom,
( c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Min__singleton_0) ).
cnf(cls_Max__singleton_0,axiom,
( c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Max__singleton_0) ).
cnf(cls_subset__empty_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__empty_0) ).
cnf(cls_Diff__subset_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__subset_0) ).
cnf(cls_lessThan__subset__iff_1,axiom,
( c_lessequals(c_SetInterval_Oord__class_OlessThan(X2,X1),c_SetInterval_Oord__class_OlessThan(X3,X1),tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lessThan__subset__iff_1) ).
cnf(cls_min__max_Osup__left__idem_0,axiom,
( c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X2,X3,X1),X1) = c_Orderings_Oord__class_Omax(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__left__idem_0) ).
cnf(cls_Int__empty__right_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__empty__right_0) ).
cnf(cls_insert__absorb2_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).
cnf(cls_bex__empty_0,axiom,
( ~ hBOOL(hAPP(X1,X2))
| ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bex__empty_0) ).
cnf(cls_gfp__upperbound_0,axiom,
( c_lessequals(X2,c_Inductive_Ocomplete__lattice__class_Ogfp(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_lessequals(X2,hAPP(X3,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_gfp__upperbound_0) ).
cnf(cls_less__fun__def_0,axiom,
( c_lessequals(X2,X3,tc_fun(X4,X1))
| ~ class_HOL_Oord(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__fun__def_0) ).
cnf(cls_inf__sup__aci_I4_J_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I4_J_0) ).
cnf(cls_inf__left__idem_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__left__idem_0) ).
cnf(cls_min__max_Oinf__left__idem_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__left__idem_0) ).
cnf(cls_finite__Diff2_1,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X1,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Diff2_1) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).
cnf(cls_finite__insert_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__insert_0) ).
cnf(cls_not__psubset__empty_0,axiom,
~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__psubset__empty_0) ).
cnf(cls_less__le__not__le_2,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__le__not__le_2) ).
cnf(cls_psubset__eq_2,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__eq_2) ).
cnf(cls_subset__iff__psubset__eq_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__iff__psubset__eq_0) ).
cnf(cls_predicate1D_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_predicate1D_0) ).
cnf(cls_rev__predicate1D_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
cnf(cls_psubset__eq_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__eq_0) ).
cnf(cls_ball__empty_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ball__empty_0) ).
cnf(cls_Min__le_0,axiom,
( c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X1),X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_in(X3,X2,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Min__le_0) ).
cnf(cls_Max__ge_0,axiom,
( c_lessequals(X2,c_Finite__Set_Olinorder__class_OMax(X3,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_in(X2,X3,X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Max__ge_0) ).
cnf(cls_Int__UNIV__right_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__UNIV__right_0) ).
cnf(cls_finite__Diff_0,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Diff_0) ).
cnf(cls_lessThan__iff_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ c_in(X2,c_SetInterval_Oord__class_OlessThan(X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lessThan__iff_0) ).
cnf(cls_subset__insertI_0,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
( c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Ononempty__iff_2) ).
cnf(cls_order__eq__iff_2,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).
cnf(cls_order__antisym_0,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym_0) ).
cnf(cls_order__antisym__conv_0,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).
cnf(cls_subset__empty_1,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__empty_1) ).
cnf(cls_eq__eqI_1,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__eqI_1) ).
cnf(cls_eq__eqI_0,axiom,
( X3 = X4
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X2,X1) != c_HOL_Ominus__class_Ominus(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__eqI_0) ).
cnf(cls_xt1_I9_J_0,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I9_J_0) ).
cnf(cls_less__le__not__le_1,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).
cnf(cls_order__less__asym_H_0,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__asym_H_0) ).
cnf(cls_order__less__asym_0,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__asym_0) ).
cnf(cls_linorder__antisym__conv2_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_1) ).
cnf(cls_linorder__not__less_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__less_1) ).
cnf(cls_linorder__not__le_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__le_1) ).
cnf(cls_not__less__iff__gr__or__eq_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_1) ).
cnf(cls_lessThan__iff_1,axiom,
( c_in(X2,c_SetInterval_Oord__class_OlessThan(X3,X1),X1)
| ~ class_HOL_Oord(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lessThan__iff_1) ).
cnf(cls_le__maxI1_0,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X2,X3,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__maxI1_0) ).
cnf(cls_le__maxI2_0,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X2,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__maxI2_0) ).
cnf(cls_emptyE_0,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_emptyE_0) ).
cnf(cls_empty__iff_0,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__iff_0) ).
cnf(cls_ex__in__conv_0,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).
cnf(cls_min__max_Oinf__sup__absorb_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Orderings_Oord__class_Omax(X2,X3,X1)) = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__sup__absorb_0) ).
cnf(cls_min__max_Osup__inf__absorb_0,axiom,
( c_Orderings_Oord__class_Omax(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__inf__absorb_0) ).
cnf(cls_inf__sup__ord_I1_J_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I1_J_0) ).
cnf(cls_inf__le1_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__le1_0) ).
cnf(cls_inf__sup__ord_I2_J_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I2_J_0) ).
cnf(cls_inf__le2_0,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__le2_0) ).
cnf(cls_min__max_Oinf__le1_0,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__le1_0) ).
cnf(cls_min__max_Oinf__le2_0,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__le2_0) ).
cnf(cls_insertCI_1,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_1) ).
cnf(cls_insertI1_0,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertI1_0) ).
cnf(cls_insert__iff_1,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_1) ).
cnf(cls_finite__subset_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X3,X2)
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__subset_0) ).
cnf(cls_rev__finite__subset_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__finite__subset_0) ).
cnf(cls_empty__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__Diff_0) ).
cnf(cls_Diff__UNIV_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__UNIV_0) ).
cnf(cls_xt1_I11_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I11_J_0) ).
cnf(cls_xt1_I12_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I12_J_0) ).
cnf(cls_order__le__less_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__less_0) ).
cnf(cls_order__less__le_2,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__le_2) ).
cnf(cls_order__le__neq__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__neq__trans_0) ).
cnf(cls_order__neq__le__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__neq__le__trans_0) ).
cnf(cls_linorder__antisym__conv1_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv1_0) ).
cnf(cls_linorder__antisym__conv2_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_0) ).
cnf(cls_min__max_Ole__iff__sup_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Omax(X2,X3,X1) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__iff__sup_1) ).
cnf(cls_min__max_Osup__absorb1_0,axiom,
( c_Orderings_Oord__class_Omax(X2,X3,X1) = X2
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__absorb1_0) ).
cnf(cls_min__max_Ole__iff__sup_0,axiom,
( c_Orderings_Oord__class_Omax(X2,X3,X1) = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__iff__sup_0) ).
cnf(cls_order__le__less_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__less_1) ).
cnf(cls_order__less__imp__le_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__imp__le_0) ).
cnf(cls_le__iff__inf_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X2
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__inf_0) ).
cnf(cls_inf__absorb2_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X3
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__absorb2_0) ).
cnf(cls_min__max_Ole__iff__inf_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = X2
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__iff__inf_0) ).
cnf(cls_min__max_Oinf__absorb2_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__absorb2_0) ).
cnf(cls_le__iff__inf_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__inf_1) ).
cnf(cls_min__max_Ole__iff__inf_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__iff__inf_1) ).
cnf(cls_Int__absorb_0,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__absorb_0) ).
cnf(cls_finite__insert_1,axiom,
( c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__insert_1) ).
cnf(cls_insert__absorb_0,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
cnf(cls_Min__in_0,axiom,
( c_in(c_Finite__Set_Olinorder__class_OMin(X2,X1),X2,X1)
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Min__in_0) ).
cnf(cls_Max__in_0,axiom,
( c_in(c_Finite__Set_Olinorder__class_OMax(X2,X1),X2,X1)
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Max__in_0) ).
cnf(cls_top1I_0,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_top1I_0) ).
cnf(cls_Diff__empty_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__empty_0) ).
cnf(cls_empty__subsetI_0,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
cnf(cls_subset__UNIV_0,axiom,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__UNIV_0) ).
cnf(cls_empty__not__insert_0,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).
cnf(cls_insert__not__empty_0,axiom,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
cnf(cls_psubset__eq_1,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__eq_1) ).
cnf(cls_COMBK__def_0,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBK__def_0) ).
cnf(cls_linorder__neqE__ordered__idom_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neqE__ordered__idom_0) ).
cnf(cls_linorder__antisym__conv3_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv3_0) ).
cnf(cls_linorder__less__linear_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__less__linear_0) ).
cnf(cls_linorder__neqE_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neqE_0) ).
cnf(cls_not__less__iff__gr__or__eq_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X3,X2,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_0) ).
cnf(cls_linorder__linear_0,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__linear_0) ).
cnf(cls_linorder__antisym__conv1_1,axiom,
( c_HOL_Oord__class_Oless(X2,X2,X1)
| c_lessequals(X2,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv1_1) ).
cnf(cls_linorder__not__le_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__le_0) ).
cnf(cls_not__leE_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__leE_0) ).
cnf(cls_linorder__not__less_0,axiom,
( c_lessequals(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__less_0) ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_min__max_Osup__commute_0,axiom,
( c_Orderings_Oord__class_Omax(X2,X3,X1) = c_Orderings_Oord__class_Omax(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__commute_0) ).
cnf(cls_inf__sup__aci_I1_J_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I1_J_0) ).
cnf(cls_inf__commute_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__commute_0) ).
cnf(cls_min__max_Oinf__commute_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X2)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__commute_0) ).
cnf(cls_UNIV__I_0,axiom,
c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNIV__I_0) ).
cnf(cls_Diff__cancel_0,axiom,
c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Diff__cancel_0) ).
cnf(cls_mem__def_1,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_inf__eq__top__eq1_0,axiom,
( X2 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__eq__top__eq1_0) ).
cnf(cls_inf__eq__top__eq2_0,axiom,
( X3 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__eq__top__eq2_0) ).
cnf(cls_order__less__le_1,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__le_1) ).
cnf(cls_order__less__irrefl_0,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__irrefl_0) ).
cnf(cls_linorder__neq__iff_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neq__iff_1) ).
cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
cnf(cls_UNIV__not__empty_0,axiom,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNIV__not__empty_0) ).
cnf(cls_equalityE_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityE_0) ).
cnf(cls_subset__refl_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__refl_0) ).
cnf(cls_inf__bot__left_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Obot__class_Obot(X1)),X2) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__bot__left_0) ).
cnf(cls_finite__UNIV_0,axiom,
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__UNIV_0) ).
cnf(cls_inf__top__left_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__top__left_0) ).
cnf(cls_inf__bot__right_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__bot__right_0) ).
cnf(cls_bot__least_0,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__least_0) ).
cnf(cls_top__greatest_0,axiom,
( c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1)
| ~ class_Orderings_Otop(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_top__greatest_0) ).
cnf(cls_inf__top__right_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1)) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__top__right_0) ).
cnf(cls_finite_OemptyI_0,axiom,
c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite_OemptyI_0) ).
cnf(cls_min__max_Osup__idem_0,axiom,
( c_Orderings_Oord__class_Omax(X2,X2,X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__idem_0) ).
cnf(cls_order__eq__iff_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
cnf(cls_order__eq__refl_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).
cnf(cls_inf__idem_0,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X2) = X2
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__idem_0) ).
cnf(cls_min__max_Oinf__idem_0,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X2) = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__idem_0) ).
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
c_fequal(X1,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
cnf(cls_lessThan__eq__iff_0,axiom,
( X2 = X3
| ~ class_Orderings_Olinorder(X1)
| c_SetInterval_Oord__class_OlessThan(X2,X1) != c_SetInterval_Oord__class_OlessThan(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lessThan__eq__iff_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_pn,v_U,tc_Com_Opname),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
( class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
| ~ class_Finite__Set_Ofinite_Ofinite(X2)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Finite__Set_Ofinite_Ofinite) ).
cnf(clsarity_fun__Orderings_Obot,axiom,
( class_Orderings_Obot(tc_fun(X1,X2))
| ~ class_Orderings_Obot(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).
cnf(clsarity_fun__Orderings_Otop,axiom,
( class_Orderings_Otop(tc_fun(X1,X2))
| ~ class_Orderings_Otop(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Otop) ).
cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))
| ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Complete__Lattice_Ocomplete__lattice) ).
cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Obounded__lattice(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).
cnf(clsarity_fun__Lattices_Olattice,axiom,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).
cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olower__semilattice) ).
cnf(clsarity_fun__Orderings_Oorder,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).
cnf(clsarity_fun__Orderings_Opreorder,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).
cnf(clsarity_fun__HOL_Oord,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).
cnf(cls_inf__min_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1) = c_Orderings_Oord__class_Omin(X1)
| ~ class_Orderings_Olinorder(X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__min_0) ).
cnf(cls_finite_0,axiom,
( c_Finite__Set_Ofinite(X2,X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Finite__Set_Ofinite(v_U,tc_Com_Opname),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(clsarity_nat__Orderings_Obot,axiom,
class_Orderings_Obot(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Obot) ).
cnf(clsarity_bool__Orderings_Obot,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).
cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Finite__Set_Ofinite_Ofinite) ).
cnf(clsarity_bool__Orderings_Otop,axiom,
class_Orderings_Otop(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Otop) ).
cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Complete__Lattice_Ocomplete__lattice) ).
cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).
cnf(clsarity_nat__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).
cnf(clsarity_bool__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olower__semilattice) ).
cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olower__semilattice) ).
cnf(clsarity_nat__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
cnf(clsarity_bool__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
cnf(clsarity_nat__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
cnf(clsarity_bool__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
cnf(clsarity_nat__HOL_Oord,axiom,
class_HOL_Oord(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).
cnf(clsarity_bool__HOL_Oord,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
cnf(clsarity_nat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
cnf(i_0_507,axiom,
( c_Fun_Oinj__on(X1,X2,X4,X5)
| hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X3,X1,X4,X5)) != hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X3,X1,X4,X5))
| hAPP(X1,hAPP(X3,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X3,X1,X4,X5))) != hAPP(X1,hAPP(X3,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X3,X1,X4,X5)))
| ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X3,X2,X4,X4),X4,X5)
| ~ c_Fun_Oinj__on(X3,X2,X4,X4) ),
cls_inj__on__image__iff_6,
[final] ).
cnf(i_0_508,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oimage(X3,X2,X4,X4),X4,X5)
| hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X3,X1,X4,X5)) != hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X3,X1,X4,X5))
| hAPP(X1,hAPP(X3,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X3,X1,X4,X5))) != hAPP(X1,hAPP(X3,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X3,X1,X4,X5)))
| ~ c_Fun_Oinj__on(X1,X2,X4,X5)
| ~ c_Fun_Oinj__on(X3,X2,X4,X4) ),
cls_inj__on__image__iff_7,
[final] ).
cnf(i_0_509,axiom,
( c_Nitpick_Ofold__graph_H(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)
| ~ c_Nitpick_Ofold__graph_H(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),tc_fun(X6,tc_bool)),X5,X6,X7)
| ~ c_in(X4,X3,X6) ),
cls_fold__graph_H_Ointros_I2_J_0,
[final] ).
cnf(i_0_510,axiom,
( c_Finite__Set_Ofold__graph(X1,X2,X3,hAPP(hAPP(X1,X4),X5),X6,X7)
| ~ c_in(X4,X3,X6)
| ~ c_Finite__Set_Ofold__graph(X1,X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X6),tc_fun(X6,tc_bool)),X5,X6,X7) ),
cls_Diff1__fold__graph_0,
[final] ).
cnf(i_0_511,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X5,X1,X3,X4)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X5,X1,X3,X4))
| hAPP(X1,hAPP(X5,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X5,X1,X3,X4))) = hAPP(X1,hAPP(X5,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X5,X1,X3,X4)))
| ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X5,X2,X3,X3),X3,X4)
| ~ c_Fun_Oinj__on(X5,X2,X3,X3) ),
cls_inj__on__image__iff_4,
[final] ).
cnf(i_0_512,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
| hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5))
| hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))) = hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5)))
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X2,X3,X4,X4) ),
cls_inj__on__image__iff_5,
[final] ).
cnf(i_0_513,axiom,
( c_Finite__Set_Ofold__graph(X1,X2,c_Set_Oinsert(X3,X4,X5),hAPP(hAPP(X1,X3),X6),X5,X7)
| c_in(X3,X4,X5)
| ~ c_Finite__Set_Ofold__graph(X1,X2,X4,X6,X5,X7) ),
cls_fold__graph_OinsertI_0,
[final] ).
cnf(i_0_514,axiom,
( X1 = X2
| ~ c_Finite__Set_Ofold__graph(X3,X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X1,X4,X5) ),
cls_empty__fold__graphE_0,
[final] ).
cnf(i_0_515,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofold__graph(X3,X4,X1,X5,X2,X6) ),
cls_fold__graph__imp__finite_0,
[final] ).
cnf(i_0_516,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ c_in(hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(X2,X5,X1,X3,X4)),X5,X4) ),
cls_image__subset__iff_2,
[final] ).
cnf(i_0_517,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ c_in(hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(X2,X5,X1,X3,X4)),X5,X4) ),
cls_image__subsetI_1,
[final] ).
cnf(i_0_518,axiom,
( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X7,X4,X5) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X6,X7,X4,X5),X2,X3,X4,X5)
| X2 = X6 ),
cls_fun__upd__twist_0,
[final] ).
cnf(i_0_519,axiom,
c_Nitpick_Ofold__graph_H(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,X4),
cls_fold__graph_H_Ointros_I1_J_0,
[final] ).
cnf(i_0_520,axiom,
c_Finite__Set_Ofold__graph(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,X4),
cls_fold__graph_OemptyI_0,
[final] ).
cnf(i_0_521,axiom,
c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5) = c_Fun_Ofun__upd(X1,X2,X6,X4,X5),
cls_fun__upd__upd_0,
[final] ).
cnf(i_0_522,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oinsert(X3,c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X6,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_in(X2,X6,X4) ),
cls_fun__upd__image_0,
[final] ).
cnf(i_0_523,axiom,
c_lessequals(c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5)),tc_fun(X5,tc_bool)),
cls_image__Int__subset_0,
[final] ).
cnf(i_0_524,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X5,X1,X3,X4),X2,X3)
| ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X5,X2,X3,X3),X3,X4)
| ~ c_Fun_Oinj__on(X5,X2,X3,X3) ),
cls_inj__on__image__iff_2,
[final] ).
cnf(i_0_525,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X5,X1,X3,X4),X2,X3)
| ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X5,X2,X3,X3),X3,X4)
| ~ c_Fun_Oinj__on(X5,X2,X3,X3) ),
cls_inj__on__image__iff_0,
[final] ).
cnf(i_0_526,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
| c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5),X3,X4)
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X2,X3,X4,X4) ),
cls_inj__on__image__iff_3,
[final] ).
cnf(i_0_527,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
| c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5),X3,X4)
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X2,X3,X4,X4) ),
cls_inj__on__image__iff_1,
[final] ).
cnf(i_0_528,axiom,
( c_Fun_Oinj__on(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5)
| c_in(X3,c_Set_Oimage(X1,X6,X4,X5),X5)
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
cls_inj__on__fun__updI_0,
[final] ).
cnf(i_0_529,axiom,
( X1 = c_Set_Oimage(X2,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X3,X1,X2,X4,X5),X4,X5)
| ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X5) ),
cls_finite__subset__image_2,
[final] ).
cnf(i_0_530,axiom,
( c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,X2,X3,X4,X5),X1,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,c_Set_Oimage(X3,X1,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X5) ),
cls_finite__subset__image_0,
[final] ).
cnf(i_0_531,axiom,
( c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,X2,X3,X4,X5),X4)
| ~ c_lessequals(X2,c_Set_Oimage(X3,X1,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X5) ),
cls_finite__subset__image_1,
[final] ).
cnf(i_0_532,axiom,
( X5 = X6
| hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5) != hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X6)
| ~ c_in(X6,c_Set_Oimage(X2,X1,X3,X4),X4)
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4) ),
cls_inv__into__injective_0,
[final] ).
cnf(i_0_533,axiom,
( ~ c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
cls_inj__on__insert_1,
[final] ).
cnf(i_0_534,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| c_in(c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(X2,X5,X1,X3,X4),X2,X3) ),
cls_image__subset__iff_1,
[final] ).
cnf(i_0_535,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| c_in(c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(X2,X5,X1,X3,X4),X2,X3) ),
cls_image__subsetI_0,
[final] ).
cnf(i_0_536,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)),
cls_image__diff__subset_0,
[final] ).
cnf(i_0_537,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oimage(X1,X6,X4,X5)
| c_in(X2,X6,X4) ),
cls_fun__upd__image_1,
[final] ).
cnf(i_0_538,axiom,
( c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))
| ~ c_lessequals(X4,X6,tc_fun(X2,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X2,X5) ),
cls_inj__on__image__Int_0,
[final] ).
cnf(i_0_539,axiom,
( c_in(hAPP(X1,X2),c_Inductive_Ocomplete__lattice__class_Ogfp(X3,tc_fun(X4,tc_bool)),X4)
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),hAPP(X3,c_Set_Oimage(X1,X5,X6,X4)),tc_fun(X4,tc_bool))
| ~ c_in(X2,X5,X6) ),
cls_weak__coinduct__image_0,
[final] ).
cnf(i_0_540,axiom,
( c_Finite__Set_Ocard(X1,X2) = c_Finite__Set_Ocard(X3,X4)
| ~ c_Finite__Set_Ofinite(X3,X4)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_lessequals(c_Set_Oimage(X5,X3,X4,X2),X1,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X5,X3,X4,X2)
| ~ c_lessequals(c_Set_Oimage(X6,X1,X2,X4),X3,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X6,X1,X2,X4) ),
cls_card__bij__eq_0,
[final] ).
cnf(i_0_541,axiom,
( c_Set_Oimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2,X5) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Oimage(X1,X3,X2,X5)),c_Set_Oimage(X1,X4,X2,X5))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5) ),
cls_image__Int_0,
[final] ).
cnf(i_0_542,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
cls_inj__on__insert_2,
[final] ).
cnf(i_0_543,axiom,
( c_in(hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),X5),X6,X3)
| ~ c_lessequals(X1,X6,tc_fun(X3,tc_bool))
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
cls_the__inv__into__into_0,
[final] ).
cnf(i_0_544,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
cls_fun__upd__other_0,
[final] ).
cnf(i_0_545,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
cls_fun__upd__apply_1,
[final] ).
cnf(i_0_546,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
cls_fun__upd__apply_0,
[final] ).
cnf(i_0_547,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
cls_fun__upd__same_0,
[final] ).
cnf(i_0_548,axiom,
( hAPP(X1,hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5)) = X5
| ~ c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
cls_f__the__inv__into__f_0,
[final] ).
cnf(i_0_549,axiom,
( 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))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
cls_inj__image__subset__iff_0,
[final] ).
cnf(i_0_550,axiom,
c_Set_Ovimage(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X5,X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X5,tc_bool)),c_Set_Ovimage(X1,X3,X5,X2)),c_Set_Ovimage(X1,X4,X5,X2)),
cls_vimage__Int_0,
[final] ).
cnf(i_0_551,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4)))
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
cls_finite__subset__induct_4,
[final] ).
cnf(i_0_552,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X6,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
cls_inj__on__image__set__diff_0,
[final] ).
cnf(i_0_553,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_vimage__subsetI_0,
[final] ).
cnf(i_0_554,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
cls_image__set__diff_0,
[final] ).
cnf(i_0_555,axiom,
( c_in(hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5),X1,X3)
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4) ),
cls_inv__into__into_0,
[final] ).
cnf(i_0_556,axiom,
( hAPP(X1,X2) = X3
| c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1 ),
cls_fun__upd__idem__iff_0,
[final] ).
cnf(i_0_557,axiom,
( hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),X5)) = X5
| ~ c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4) ),
cls_f__inv__into__f_0,
[final] ).
cnf(i_0_558,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
cls_image__inv__f__f_0,
[final] ).
cnf(i_0_559,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
cls_inv__image__comp_0,
[final] ).
cnf(i_0_560,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X5,X3,X4),X4,X3) = X5
| ~ c_lessequals(X5,X1,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
cls_inv__into__image__cancel_0,
[final] ).
cnf(i_0_561,axiom,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
cls_vimage__code_0,
[final] ).
cnf(i_0_562,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))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__image__subset__iff_1,
[final] ).
cnf(i_0_563,axiom,
( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X4,X3)
| ~ c_lessequals(X5,c_Set_Oimage(X2,X1,X3,X4),tc_fun(X4,tc_bool)) ),
cls_inj__on__inv__into_0,
[final] ).
cnf(i_0_564,axiom,
( c_Set_Oimage(c_Fun_Othe__inv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3) = X1
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
cls_the__inv__into__onto_0,
[final] ).
cnf(i_0_565,axiom,
( c_Fun_Oinj__on(c_Fun_Othe__inv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3)
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
cls_inj__on__the__inv__into_0,
[final] ).
cnf(i_0_566,axiom,
( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X2,X3,X5,X1),c_Finite__Set_Osetsum(X2,X4,X5,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1)
| ~ c_lessequals(X4,X3,tc_fun(X5,tc_bool))
| ~ c_Finite__Set_Ofinite(X3,X5) ),
cls_setsum__diff_0,
[final] ).
cnf(i_0_567,axiom,
( c_Set_Oimage(X1,X2,X3,X3) = X2
| ~ c_Fun_Oinj__on(X1,X2,X3,X3)
| ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X3),X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_endo__inj__surj_0,
[final] ).
cnf(i_0_568,axiom,
c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)),
cls_image__vimage__subset_0,
[final] ).
cnf(i_0_569,axiom,
( hAPP(X1,X2) = X3
| ~ c_in(X2,c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5) ),
cls_vimage__singleton__eq_0,
[final] ).
cnf(i_0_570,axiom,
( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X2,X3,X5,X1),hAPP(X2,X4),X1)
| ~ class_Ring__and__Field_Oring(X1)
| ~ c_in(X4,X3,X5)
| ~ c_Finite__Set_Ofinite(X3,X5) ),
cls_setsum__diff1__ring_0,
[final] ).
cnf(i_0_571,axiom,
( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X2,X3,X5,X1),hAPP(X2,X4),X1)
| ~ class_OrderedGroup_Oab__group__add(X1)
| ~ c_in(X4,X3,X5)
| ~ c_Finite__Set_Ofinite(X3,X5) ),
cls_setsum__diff1_0,
[final] ).
cnf(i_0_572,axiom,
c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X4,tc_bool)),X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)),
cls_image__vimage__eq_0,
[final] ).
cnf(i_0_573,axiom,
c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
cls_vimage__Diff_0,
[final] ).
cnf(i_0_574,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_9,
[final] ).
cnf(i_0_575,axiom,
( c_in(X1,X2,X3)
| ~ c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
cls_inj__image__mem__iff_0,
[final] ).
cnf(i_0_576,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_8,
[final] ).
cnf(i_0_577,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X3,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_5,
[final] ).
cnf(i_0_578,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X3,X4)
| ~ c_in(X2,X1,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_4,
[final] ).
cnf(i_0_579,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert__iff_4,
[final] ).
cnf(i_0_580,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert__iff_3,
[final] ).
cnf(i_0_581,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_diff__single__insert_0,
[final] ).
cnf(i_0_582,axiom,
( X2 = X5
| c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__image__eq__iff_0,
[final] ).
cnf(i_0_583,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
cls_conjecture_3,
[final] ).
cnf(i_0_584,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
cls_fun__upd__idem__iff_1,
[final] ).
cnf(i_0_585,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
cls_fun__upd__triv_0,
[final] ).
cnf(i_0_586,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
cls_fun__upd__idem_0,
[final] ).
cnf(i_0_587,axiom,
( c_Set_Ovimage(X1,c_Set_Oimage(X1,X2,X3,X4),X3,X4) = X2
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__vimage__image__eq_0,
[final] ).
cnf(i_0_588,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X3,X1,X2,X4)
| ~ c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4) ),
cls_finite__imageD_0,
[final] ).
cnf(i_0_589,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_590,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_591,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
cls_vimage__mono_0,
[final] ).
cnf(i_0_592,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X3)
| ~ c_lessequals(X2,c_Set_Oimage(X1,X2,X3,X3),tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_finite__surj__inj_0,
[final] ).
cnf(i_0_593,axiom,
( c_Finite__Set_Osetsum(X2,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),tc_fun(X5,tc_bool)),X5,X1) = c_Finite__Set_Osetsum(X2,X3,X5,X1)
| c_in(X4,X3,X5)
| ~ class_OrderedGroup_Oab__group__add(X1)
| ~ c_Finite__Set_Ofinite(X3,X5) ),
cls_setsum__diff1_1,
[final] ).
cnf(i_0_594,axiom,
( hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))
| ~ hBOOL(hAPP(X2,hAPP(X1,X5))) ),
cls_vimage__code_1,
[final] ).
cnf(i_0_595,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)),
cls_Int__assoc_0,
[final] ).
cnf(i_0_596,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
cls_inj__image__mem__iff_1,
[final] ).
cnf(i_0_597,axiom,
( c_Finite__Set_Osetsum(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,tc_nat) = c_Finite__Set_Osetsum(X1,X2,X4,tc_nat)
| c_in(X3,X2,X4) ),
cls_setsum__diff1__nat_1,
[final] ).
cnf(i_0_598,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Orderings_Oord__class_Omax(X2,X3,X1)),c_Orderings_Oord__class_Omax(X2,X4,X1)),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Odistrib__sup__le_0,
[final] ).
cnf(i_0_599,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
cls_inv__f__f_0,
[final] ).
cnf(i_0_600,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4)) = X4
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
cls_inv__f__eq_0,
[final] ).
cnf(i_0_601,axiom,
( hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
cls_the__inv__f__f_0,
[final] ).
cnf(i_0_602,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool))),X4) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),tc_fun(X1,tc_bool)),
cls_Diff__Int__distrib2_0,
[final] ).
cnf(i_0_603,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) != c_Finite__Set_Ocard(X2,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_eq__card__imp__inj__on_0,
[final] ).
cnf(i_0_604,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_in(X2,X4,X3)
| ~ c_in(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
cls_psubset__insert__iff_1,
[final] ).
cnf(i_0_605,axiom,
c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4,X3),X4),
cls_vimage__singleton__eq_1,
[final] ).
cnf(i_0_606,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_607,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
cls_subset__insert__iff_0,
[final] ).
cnf(i_0_608,axiom,
c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X3),tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),
cls_Diff__Int2_0,
[final] ).
cnf(i_0_609,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
| ~ c_in(X5,X1,X3)
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
cls_inv__into__f__f_0,
[final] ).
cnf(i_0_610,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(X2,X4,X3,X5),hAPP(X4,X1)) = X1
| ~ c_in(X1,X2,X3)
| ~ c_Fun_Oinj__on(X4,X2,X3,X5) ),
cls_inv__into__f__eq_0,
[final] ).
cnf(i_0_611,axiom,
( hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
| ~ c_in(X5,X1,X3)
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
cls_the__inv__into__f__f_0,
[final] ).
cnf(i_0_612,axiom,
( hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),hAPP(X1,X5)) = X5
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_in(X5,X2,X3) ),
cls_the__inv__into__f__eq_0,
[final] ).
cnf(i_0_613,axiom,
( c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X2,X3,X4),X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
| ~ c_Finite__Set_Ofinite(X2,X4) ),
cls_finite__vimageI_0,
[final] ).
cnf(i_0_614,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X1),X4),X2)) ),
cls_inf1E_0,
[final] ).
cnf(i_0_615,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X1),X2)) ),
cls_inf1E_1,
[final] ).
cnf(i_0_616,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),tc_fun(X1,tc_bool)),
cls_Diff__Int__distrib_0,
[final] ).
cnf(i_0_617,axiom,
( c_in(hAPP(X1,X2),X3,X4)
| ~ c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
cls_vimageD_0,
[final] ).
cnf(i_0_618,axiom,
( c_in(hAPP(X1,X2),X3,X4)
| ~ c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
cls_vimageE_0,
[final] ).
cnf(i_0_619,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_620,axiom,
( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_inj__on__iff__eq__card_0,
[final] ).
cnf(i_0_621,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_622,axiom,
( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
cls_card__image_0,
[final] ).
cnf(i_0_623,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_624,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4),X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Orderings_Oord__class_Omax(X3,X4,X1)),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Odistrib__inf__le_0,
[final] ).
cnf(i_0_625,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X4),X5),tc_fun(X1,tc_bool))
| ~ c_lessequals(X3,X5,tc_fun(X1,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X1,tc_bool)) ),
cls_Int__mono_0,
[final] ).
cnf(i_0_626,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)),
cls_Int__left__commute_0,
[final] ).
cnf(i_0_627,axiom,
( X1 = X5
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_0,
[final] ).
cnf(i_0_628,axiom,
( X2 = X4
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_1,
[final] ).
cnf(i_0_629,axiom,
( X1 = X5
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_2,
[final] ).
cnf(i_0_630,axiom,
( X2 = X4
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_3,
[final] ).
cnf(i_0_631,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
cls_Diff__insert2_0,
[final] ).
cnf(i_0_632,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4)
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
cls_finite__subset__induct_2,
[final] ).
cnf(i_0_633,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4) ),
cls_inj__on__insert_0,
[final] ).
cnf(i_0_634,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),c_Set_Oinsert(X2,X4,X1)) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1),
cls_insert__inter__insert_0,
[final] ).
cnf(i_0_635,axiom,
( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
cls_inj__on__diff_0,
[final] ).
cnf(i_0_636,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = c_Set_Oinsert(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4),X1)
| ~ c_in(X2,X4,X1) ),
cls_Int__insert__left_0,
[final] ).
cnf(i_0_637,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3) ),
cls_finite__Diff__insert_0,
[final] ).
cnf(i_0_638,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X5,X3,X4) ),
cls_subset__inj__on_0,
[final] ).
cnf(i_0_639,axiom,
( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
| ~ c_in(X1,X2,X3) ),
cls_insert__Diff_0,
[final] ).
cnf(i_0_640,axiom,
( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4))
| ~ hBOOL(hAPP(X3,X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_inf1I_0,
[final] ).
cnf(i_0_641,axiom,
c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
cls_insert__Diff__single_0,
[final] ).
cnf(i_0_642,axiom,
( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Finite__Set_Ocard(X1,X3)
| c_in(X2,X1,X3)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
cls_card__Diff__singleton__if_1,
[final] ).
cnf(i_0_643,axiom,
c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4),
cls_rangeI_0,
[final] ).
cnf(i_0_644,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = c_Set_Oinsert(X3,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4),X1)
| ~ c_in(X3,X2,X1) ),
cls_Int__insert__right_0,
[final] ).
cnf(i_0_645,axiom,
( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| ~ c_in(hAPP(X2,X1),X3,X5) ),
cls_vimageI_0,
[final] ).
cnf(i_0_646,axiom,
( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| ~ c_in(hAPP(X2,X1),X3,X5) ),
cls_vimageI2_0,
[final] ).
cnf(i_0_647,axiom,
( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| ~ c_in(hAPP(X2,X1),X3,X5) ),
cls_vimage__eq_1,
[final] ).
cnf(i_0_648,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_649,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_650,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_651,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_652,axiom,
c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X4,tc_fun(X1,tc_bool))),
cls_Int__Diff_0,
[final] ).
cnf(i_0_653,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),tc_fun(X3,tc_bool)) ),
cls_Int__subset__iff_0,
[final] ).
cnf(i_0_654,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2),tc_fun(X3,tc_bool)) ),
cls_Int__subset__iff_1,
[final] ).
cnf(i_0_655,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4) ),
cls_finite__Diff__insert_1,
[final] ).
cnf(i_0_656,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4)))
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
cls_finite__subset__induct_3,
[final] ).
cnf(i_0_657,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_Diff__mono_0,
[final] ).
cnf(i_0_658,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
cls_Diff__insert_0,
[final] ).
cnf(i_0_659,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
cls_inj__on__contraD_0,
[final] ).
cnf(i_0_660,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
cls_inj__on__iff_0,
[final] ).
cnf(i_0_661,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
cls_inj__on__def_0,
[final] ).
cnf(i_0_662,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5) ),
cls_inj__onD_0,
[final] ).
cnf(i_0_663,axiom,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
cls_Int__greatest_0,
[final] ).
cnf(i_0_664,axiom,
( c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
cls_Int__subset__iff_2,
[final] ).
cnf(i_0_665,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X2),X4),X3) ),
cls_IntE_0,
[final] ).
cnf(i_0_666,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2),X3) ),
cls_IntE_1,
[final] ).
cnf(i_0_667,axiom,
( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
cls_subset__singletonD_0,
[final] ).
cnf(i_0_668,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),
cls_Int__left__absorb_0,
[final] ).
cnf(i_0_669,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X4)
| c_in(X2,X4,X1) ),
cls_Int__insert__left_1,
[final] ).
cnf(i_0_670,axiom,
( hBOOL(hAPP(X1,X2))
| c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(X3,X1,X4),X3,X4)
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
cls_finite__subset__induct_1,
[final] ).
cnf(i_0_671,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ c_in(X5,X4,X3) ),
cls_image__constant_0,
[final] ).
cnf(i_0_672,axiom,
( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_HOL_Ominus__class_Ominus(X2,X4,X1)),c_HOL_Ominus__class_Ominus(X3,X4,X1))
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
cls_min__diff__distrib__left_0,
[final] ).
cnf(i_0_673,axiom,
( c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Orderings_Oord__class_Omax(X2,X4,X1)),c_Orderings_Oord__class_Omax(X3,X4,X1))
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__inf__distrib2_0,
[final] ).
cnf(i_0_674,axiom,
( c_Orderings_Oord__class_Omax(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Orderings_Oord__class_Omax(X2,X3,X1)),c_Orderings_Oord__class_Omax(X2,X4,X1))
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__inf__distrib1_0,
[final] ).
cnf(i_0_675,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),c_Orderings_Oord__class_Omax(X2,X3,X1)),X4) = c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__sup__distrib2_0,
[final] ).
cnf(i_0_676,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
cls_doubleton__eq__iff_4,
[final] ).
cnf(i_0_677,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_678,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
cls_injD_0,
[final] ).
cnf(i_0_679,axiom,
( c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2)
| ~ c_in(X1,X4,X2)
| ~ c_in(X1,X3,X2) ),
cls_IntI_0,
[final] ).
cnf(i_0_680,axiom,
( c_in(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),X2)
| ~ c_in(X1,X4,X2)
| ~ c_in(X1,X3,X2) ),
cls_Int__iff_2,
[final] ).
cnf(i_0_681,axiom,
( hBOOL(hAPP(X1,X2))
| c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(X3,X1,X4),X4)
| ~ hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))))
| ~ c_lessequals(X2,X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X4) ),
cls_finite__subset__induct_0,
[final] ).
cnf(i_0_682,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_image__constant__conv_1,
[final] ).
cnf(i_0_683,axiom,
( c_HOL_Oord__class_Oless(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))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_7,
[final] ).
cnf(i_0_684,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X1,X3)
| c_in(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
cls_psubset__insert__iff_2,
[final] ).
cnf(i_0_685,axiom,
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X3
| ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
cls_double__diff_0,
[final] ).
cnf(i_0_686,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X2) ),
cls_vimage__const_0,
[final] ).
cnf(i_0_687,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oimage(X2,X3,X4,X1) ),
cls_empty__is__image_0,
[final] ).
cnf(i_0_688,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Set_Oimage(X1,X2,X3,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
cls_image__is__empty_0,
[final] ).
cnf(i_0_689,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
cls_psubset__insert__iff_0,
[final] ).
cnf(i_0_690,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2
| c_in(X1,X2,X3) ),
cls_Diff__insert__absorb_0,
[final] ).
cnf(i_0_691,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Set_Oinsert(X3,X4,X1)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X4)
| c_in(X3,X2,X1) ),
cls_Int__insert__right_1,
[final] ).
cnf(i_0_692,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| c_in(X1,X4,X3) ),
cls_insert__Diff__if_1,
[final] ).
cnf(i_0_693,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),X4),X2) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_disjoint__iff__not__equal_0,
[final] ).
cnf(i_0_694,axiom,
( c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
cls_max__diff__distrib__left_0,
[final] ).
cnf(i_0_695,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_in(X1,X4,X2) ),
cls_vimage__const_1,
[final] ).
cnf(i_0_696,axiom,
c_Set_Oimage(c_COMBK(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_image__constant__conv_0,
[final] ).
cnf(i_0_697,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),c_SetInterval_Oord__class_OlessThan(X2,X1),tc_fun(X1,tc_bool)) = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)
| ~ class_Orderings_Oorder(X1) ),
cls_single__Diff__lessThan_0,
[final] ).
cnf(i_0_698,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Orderings_Oord__class_Omax(X3,X4,X1)) = c_Orderings_Oord__class_Omax(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__sup__distrib1_0,
[final] ).
cnf(i_0_699,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_700,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_701,axiom,
( X1 = X2
| ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_singletonE_0,
[final] ).
cnf(i_0_702,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I2_J_0,
[final] ).
cnf(i_0_703,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)),X4) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__assoc_0,
[final] ).
cnf(i_0_704,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)),X4) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4))
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__assoc_0,
[final] ).
cnf(i_0_705,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| c_in(X2,X3,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_3,
[final] ).
cnf(i_0_706,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
cls_insert__code_0,
[final] ).
cnf(i_0_707,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_708,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),X3) ),
cls_DiffE_1,
[final] ).
cnf(i_0_709,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_710,axiom,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool)) ),
cls_psubset__insert__iff_6,
[final] ).
cnf(i_0_711,axiom,
( c_Finite__Set_Olinorder__class_OMax(X2,X1) = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_in(X3,X2,X1)
| ~ c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(X2,X3,X1),X3,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_Max__eqI_1,
[final] ).
cnf(i_0_712,axiom,
( c_Finite__Set_Olinorder__class_OMin(X2,X1) = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_in(X3,X2,X1)
| ~ c_lessequals(X3,c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(X2,X3,X1),X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_Min__eqI_1,
[final] ).
cnf(i_0_713,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3) ),
cls_DiffE_0,
[final] ).
cnf(i_0_714,axiom,
( c_in(X1,c_Inductive_Ocomplete__lattice__class_Ogfp(X2,tc_fun(X3,tc_bool)),X3)
| ~ c_lessequals(X4,hAPP(X2,X4),tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
cls_weak__coinduct_0,
[final] ).
cnf(i_0_715,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,c_Orderings_Oord__class_Omax(X4,X3,X1),X1) ),
cls_le__max__iff__disj_0,
[final] ).
cnf(i_0_716,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X4,X3,X1),X1) ),
cls_less__max__iff__disj_0,
[final] ).
cnf(i_0_717,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_718,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X4,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X2),X3,X1) ),
cls_min__le__iff__disj_0,
[final] ).
cnf(i_0_719,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X2),X3,X1) ),
cls_min__less__iff__disj_0,
[final] ).
cnf(i_0_720,axiom,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X2,tc_fun(X1,tc_bool)),
cls_Int__lower1_0,
[final] ).
cnf(i_0_721,axiom,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X3,tc_fun(X1,tc_bool)),
cls_Int__lower2_0,
[final] ).
cnf(i_0_722,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_723,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_724,axiom,
( c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
cls_Diff__iff_2,
[final] ).
cnf(i_0_725,axiom,
( c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
cls_DiffI_0,
[final] ).
cnf(i_0_726,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
cls_insert__Diff1_0,
[final] ).
cnf(i_0_727,axiom,
( c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool)) = X2
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
cls_Diff__triv_0,
[final] ).
cnf(i_0_728,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_729,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_min__max_Ole__sup__iff_2,
[final] ).
cnf(i_0_730,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_min__max_Osup__least_0,
[final] ).
cnf(i_0_731,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_min__max_Ole__supI_0,
[final] ).
cnf(i_0_732,axiom,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_max__less__iff__conj_2,
[final] ).
cnf(i_0_733,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_inf__greatest_0,
[final] ).
cnf(i_0_734,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),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_735,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__infI_0,
[final] ).
cnf(i_0_736,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_min__max_Oinf__greatest_0,
[final] ).
cnf(i_0_737,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_min__max_Ole__inf__iff_2,
[final] ).
cnf(i_0_738,axiom,
( c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_min__max_Ole__infI_0,
[final] ).
cnf(i_0_739,axiom,
( c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_min__less__iff__conj_2,
[final] ).
cnf(i_0_740,axiom,
( X1 = X3
| c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) != c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
cls_singleton__inject_0,
[final] ).
cnf(i_0_741,axiom,
( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__assoc_0,
[final] ).
cnf(i_0_742,axiom,
( c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1) = c_Orderings_Oord__class_Omax(X3,c_Orderings_Oord__class_Omax(X2,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__left__commute_0,
[final] ).
cnf(i_0_743,axiom,
c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
cls_image__empty_0,
[final] ).
cnf(i_0_744,axiom,
c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
cls_vimage__empty_0,
[final] ).
cnf(i_0_745,axiom,
c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
cls_vimage__UNIV_0,
[final] ).
cnf(i_0_746,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1),
cls_empty__is__image_1,
[final] ).
cnf(i_0_747,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Diff__disjoint_0,
[final] ).
cnf(i_0_748,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_749,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_finite__Int_0,
[final] ).
cnf(i_0_750,axiom,
( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_finite__Int_1,
[final] ).
cnf(i_0_751,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_752,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
cls_psubset__subset__trans_0,
[final] ).
cnf(i_0_753,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_subset__psubset__trans_0,
[final] ).
cnf(i_0_754,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
cls_psubset__trans_0,
[final] ).
cnf(i_0_755,axiom,
( c_lessequals(X3,X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X5,X4,X1) ),
cls_le__eqI_1,
[final] ).
cnf(i_0_756,axiom,
( c_lessequals(X5,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_le__eqI_0,
[final] ).
cnf(i_0_757,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X4,X5,X1) ),
cls_less__eqI_1,
[final] ).
cnf(i_0_758,axiom,
( c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_less__eqI_0,
[final] ).
cnf(i_0_759,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X2,X4,X1),X3,X1) ),
cls_min__max_Ole__sup__iff_0,
[final] ).
cnf(i_0_760,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X2,X4,X1),X3,X1) ),
cls_min__max_Ole__supE_0,
[final] ).
cnf(i_0_761,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X1),X3,X1) ),
cls_min__max_Ole__sup__iff_1,
[final] ).
cnf(i_0_762,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X1),X3,X1) ),
cls_min__max_Ole__supE_1,
[final] ).
cnf(i_0_763,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X2,X4,X1),X3,X1) ),
cls_max__less__iff__conj_0,
[final] ).
cnf(i_0_764,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X4,X2,X1),X3,X1) ),
cls_max__less__iff__conj_1,
[final] ).
cnf(i_0_765,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I3_J_0,
[final] ).
cnf(i_0_766,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X4))
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__left__commute_0,
[final] ).
cnf(i_0_767,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X4))
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__left__commute_0,
[final] ).
cnf(i_0_768,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_769,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1) ),
cls_le__inf__iff_0,
[final] ).
cnf(i_0_770,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4),X1) ),
cls_le__infE_0,
[final] ).
cnf(i_0_771,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3),X1) ),
cls_le__inf__iff_1,
[final] ).
cnf(i_0_772,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X4),X3),X1) ),
cls_le__infE_1,
[final] ).
cnf(i_0_773,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1) ),
cls_min__max_Ole__inf__iff_0,
[final] ).
cnf(i_0_774,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1) ),
cls_min__max_Ole__infE_0,
[final] ).
cnf(i_0_775,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3),X1) ),
cls_min__max_Ole__inf__iff_1,
[final] ).
cnf(i_0_776,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3),X1) ),
cls_min__max_Ole__infE_1,
[final] ).
cnf(i_0_777,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X4),X1) ),
cls_min__less__iff__conj_0,
[final] ).
cnf(i_0_778,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X4),X3),X1) ),
cls_min__less__iff__conj_1,
[final] ).
cnf(i_0_779,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),
cls_Diff__idemp_0,
[final] ).
cnf(i_0_780,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_781,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(X3,X2) ),
cls_finite__Diff2_0,
[final] ).
cnf(i_0_782,axiom,
c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
cls_inj__on__empty_0,
[final] ).
cnf(i_0_783,axiom,
( c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1))
| c_lessequals(X3,X2,tc_fun(X4,X1))
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X3,tc_fun(X4,X1)) ),
cls_less__fun__def_2,
[final] ).
cnf(i_0_784,axiom,
( c_Finite__Set_Olinorder__class_OMin(X2,X1) = X3
| c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1(X2,X3,X1),X2,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_in(X3,X2,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_Min__eqI_0,
[final] ).
cnf(i_0_785,axiom,
( c_Finite__Set_Olinorder__class_OMax(X2,X1) = X3
| c_in(c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1(X2,X3,X1),X2,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_in(X3,X2,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_Max__eqI_0,
[final] ).
cnf(i_0_786,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_insert__code_2,
[final] ).
cnf(i_0_787,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),X2),
cls_Int__commute_0,
[final] ).
cnf(i_0_788,axiom,
( c_lessequals(c_Finite__Set_Olinorder__class_OMax(X2,X1),c_Finite__Set_Olinorder__class_OMax(X3,X1),X1)
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
cls_Max__mono_0,
[final] ).
cnf(i_0_789,axiom,
( c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X1),c_Finite__Set_Olinorder__class_OMin(X3,X1),X1)
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1)
| ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
cls_Min__antimono_0,
[final] ).
cnf(i_0_790,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_791,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Int__empty__left_0,
[final] ).
cnf(i_0_792,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = X2
| ~ c_lessequals(X2,X3,tc_fun(X1,tc_bool)) ),
cls_Int__absorb2_0,
[final] ).
cnf(i_0_793,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) = X3
| ~ c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
cls_Int__absorb1_0,
[final] ).
cnf(i_0_794,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(X2,X1),c_SetInterval_Oord__class_OlessThan(X3,X1),tc_fun(X1,tc_bool)) ),
cls_lessThan__subset__iff_0,
[final] ).
cnf(i_0_795,axiom,
c_in(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
cls_singleton__iff_1,
[final] ).
cnf(i_0_796,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_797,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_798,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_799,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_800,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool)) ),
cls_psubsetD_0,
[final] ).
cnf(i_0_801,axiom,
( ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X3,tc_fun(X4,X1))
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_fun(X4,X1)) ),
cls_less__fun__def_1,
[final] ).
cnf(i_0_802,axiom,
( c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X2,X3,X1),X1) = c_Orderings_Oord__class_Omax(X2,c_Finite__Set_Olinorder__class_OMax(X3,X1),X1)
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_Max__insert_0,
[final] ).
cnf(i_0_803,axiom,
( X1 = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))
| c_Finite__Set_Ocard(X1,X2) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
cls_card__eq__UNIV__imp__eq__UNIV_0,
[final] ).
cnf(i_0_804,axiom,
( c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X2,X3,X1),X1) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Finite__Set_Olinorder__class_OMin(X3,X1))
| X3 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_Min__insert_0,
[final] ).
cnf(i_0_805,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__max__iff__disj_1,
[final] ).
cnf(i_0_806,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_min__max_Ole__supI1_0,
[final] ).
cnf(i_0_807,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__max__iff__disj_2,
[final] ).
cnf(i_0_808,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_min__max_Ole__supI2_0,
[final] ).
cnf(i_0_809,axiom,
( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_less__max__iff__disj_1,
[final] ).
cnf(i_0_810,axiom,
( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_min__max_Oless__supI1_0,
[final] ).
cnf(i_0_811,axiom,
( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_less__max__iff__disj_2,
[final] ).
cnf(i_0_812,axiom,
( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_min__max_Oless__supI2_0,
[final] ).
cnf(i_0_813,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__infI1_0,
[final] ).
cnf(i_0_814,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_le__infI2_0,
[final] ).
cnf(i_0_815,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_min__le__iff__disj_1,
[final] ).
cnf(i_0_816,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_min__max_Ole__infI1_0,
[final] ).
cnf(i_0_817,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_min__le__iff__disj_2,
[final] ).
cnf(i_0_818,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_min__max_Ole__infI2_0,
[final] ).
cnf(i_0_819,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_less__infI1_0,
[final] ).
cnf(i_0_820,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_less__infI2_0,
[final] ).
cnf(i_0_821,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_min__less__iff__disj_1,
[final] ).
cnf(i_0_822,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_min__max_Oless__infI1_0,
[final] ).
cnf(i_0_823,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_min__less__iff__disj_2,
[final] ).
cnf(i_0_824,axiom,
( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_min__max_Oless__infI2_0,
[final] ).
cnf(i_0_825,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))),X2) = X2,
cls_Int__UNIV__left_0,
[final] ).
cnf(i_0_826,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
cls_insertCI_0,
[final] ).
cnf(i_0_827,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
cls_insert__iff_2,
[final] ).
cnf(i_0_828,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_829,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_830,axiom,
( c_Finite__Set_Ocard(c_Set_Oinsert(X1,X2,X3),X3) = c_Finite__Set_Ocard(X2,X3)
| ~ c_in(X1,X2,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_card__insert__if_0,
[final] ).
cnf(i_0_831,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1,
[final] ).
cnf(i_0_832,negated_conjecture,
v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
cls_conjecture_1,
[final] ).
cnf(i_0_833,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_834,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_835,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_836,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
cls_xt1_I8_J_0,
[final] ).
cnf(i_0_837,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
cls_xt1_I7_J_0,
[final] ).
cnf(i_0_838,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
cls_xt1_I10_J_0,
[final] ).
cnf(i_0_839,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_order__less__le__trans_0,
[final] ).
cnf(i_0_840,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_order__le__less__trans_0,
[final] ).
cnf(i_0_841,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_order__less__trans_0,
[final] ).
cnf(i_0_842,axiom,
( c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_Min__singleton_0,
[final] ).
cnf(i_0_843,axiom,
( c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_Max__singleton_0,
[final] ).
cnf(i_0_844,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
cls_subset__empty_0,
[final] ).
cnf(i_0_845,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
cls_Diff__subset_0,
[final] ).
cnf(i_0_846,axiom,
( c_lessequals(c_SetInterval_Oord__class_OlessThan(X2,X1),c_SetInterval_Oord__class_OlessThan(X3,X1),tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_lessThan__subset__iff_1,
[final] ).
cnf(i_0_847,axiom,
( c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X2,X3,X1),X1) = c_Orderings_Oord__class_Omax(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__left__idem_0,
[final] ).
cnf(i_0_848,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Int__empty__right_0,
[final] ).
cnf(i_0_849,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_850,axiom,
( ~ hBOOL(hAPP(X1,X2))
| ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
cls_bex__empty_0,
[final] ).
cnf(i_0_851,axiom,
( c_lessequals(X2,c_Inductive_Ocomplete__lattice__class_Ogfp(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| ~ c_lessequals(X2,hAPP(X3,X2),X1) ),
cls_gfp__upperbound_0,
[final] ).
cnf(i_0_852,axiom,
( c_lessequals(X2,X3,tc_fun(X4,X1))
| ~ class_HOL_Oord(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_fun(X4,X1)) ),
cls_less__fun__def_0,
[final] ).
cnf(i_0_853,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I4_J_0,
[final] ).
cnf(i_0_854,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__left__idem_0,
[final] ).
cnf(i_0_855,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__left__idem_0,
[final] ).
cnf(i_0_856,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X1,X3)
| ~ c_Finite__Set_Ofinite(X2,X3) ),
cls_finite__Diff2_1,
[final] ).
cnf(i_0_857,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
cls_bot1E_0,
[final] ).
cnf(i_0_858,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_859,axiom,
~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
cls_not__psubset__empty_0,
[final] ).
cnf(i_0_860,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_less__le__not__le_2,
[final] ).
cnf(i_0_861,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_psubset__eq_2,
[final] ).
cnf(i_0_862,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_subset__iff__psubset__eq_0,
[final] ).
cnf(i_0_863,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_864,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_865,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
cls_psubset__eq_0,
[final] ).
cnf(i_0_866,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
cls_ball__empty_0,
[final] ).
cnf(i_0_867,axiom,
( c_lessequals(c_Finite__Set_Olinorder__class_OMin(X2,X1),X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_in(X3,X2,X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_Min__le_0,
[final] ).
cnf(i_0_868,axiom,
( c_lessequals(X2,c_Finite__Set_Olinorder__class_OMax(X3,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_in(X2,X3,X1)
| ~ c_Finite__Set_Ofinite(X3,X1) ),
cls_Max__ge_0,
[final] ).
cnf(i_0_869,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2,
cls_Int__UNIV__right_0,
[final] ).
cnf(i_0_870,axiom,
( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
cls_finite__Diff_0,
[final] ).
cnf(i_0_871,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_HOL_Oord(X1)
| ~ c_in(X2,c_SetInterval_Oord__class_OlessThan(X3,X1),X1) ),
cls_lessThan__iff_0,
[final] ).
cnf(i_0_872,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
cls_subset__insertI_0,
[final] ).
cnf(i_0_873,axiom,
( c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_comm__monoid__add_Ononempty__iff_2,
[final] ).
cnf(i_0_874,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_875,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_876,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_877,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
cls_subset__empty_1,
[final] ).
cnf(i_0_878,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X4,X1) ),
cls_eq__eqI_1,
[final] ).
cnf(i_0_879,axiom,
( X3 = X4
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X2,X1) != c_HOL_Ominus__class_Ominus(X3,X4,X1) ),
cls_eq__eqI_0,
[final] ).
cnf(i_0_880,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_xt1_I9_J_0,
[final] ).
cnf(i_0_881,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_less__le__not__le_1,
[final] ).
cnf(i_0_882,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_order__less__asym_H_0,
[final] ).
cnf(i_0_883,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_order__less__asym_0,
[final] ).
cnf(i_0_884,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_linorder__antisym__conv2_1,
[final] ).
cnf(i_0_885,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_linorder__not__less_1,
[final] ).
cnf(i_0_886,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_linorder__not__le_1,
[final] ).
cnf(i_0_887,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_not__less__iff__gr__or__eq_1,
[final] ).
cnf(i_0_888,axiom,
( c_in(X2,c_SetInterval_Oord__class_OlessThan(X3,X1),X1)
| ~ class_HOL_Oord(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_lessThan__iff_1,
[final] ).
cnf(i_0_889,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X2,X3,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_le__maxI1_0,
[final] ).
cnf(i_0_890,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X2,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_le__maxI2_0,
[final] ).
cnf(i_0_891,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
cls_emptyE_0,
[final] ).
cnf(i_0_892,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
cls_empty__iff_0,
[final] ).
cnf(i_0_893,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
cls_ex__in__conv_0,
[final] ).
cnf(i_0_894,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),c_Orderings_Oord__class_Omax(X2,X3,X1)) = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__sup__absorb_0,
[final] ).
cnf(i_0_895,axiom,
( c_Orderings_Oord__class_Omax(X2,hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__inf__absorb_0,
[final] ).
cnf(i_0_896,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I1_J_0,
[final] ).
cnf(i_0_897,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X2,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__le1_0,
[final] ).
cnf(i_0_898,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I2_J_0,
[final] ).
cnf(i_0_899,axiom,
( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3),X3,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__le2_0,
[final] ).
cnf(i_0_900,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__le1_0,
[final] ).
cnf(i_0_901,axiom,
( c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3),X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__le2_0,
[final] ).
cnf(i_0_902,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
cls_insertCI_1,
[final] ).
cnf(i_0_903,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
cls_insertI1_0,
[final] ).
cnf(i_0_904,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
cls_insert__iff_1,
[final] ).
cnf(i_0_905,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_906,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_907,axiom,
c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_empty__Diff_0,
[final] ).
cnf(i_0_908,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_Diff__UNIV_0,
[final] ).
cnf(i_0_909,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_xt1_I11_J_0,
[final] ).
cnf(i_0_910,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_xt1_I12_J_0,
[final] ).
cnf(i_0_911,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__le__less_0,
[final] ).
cnf(i_0_912,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__less__le_2,
[final] ).
cnf(i_0_913,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__le__neq__trans_0,
[final] ).
cnf(i_0_914,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__neq__le__trans_0,
[final] ).
cnf(i_0_915,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_linorder__antisym__conv1_0,
[final] ).
cnf(i_0_916,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_linorder__antisym__conv2_0,
[final] ).
cnf(i_0_917,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Omax(X2,X3,X1) != X3 ),
cls_min__max_Ole__iff__sup_1,
[final] ).
cnf(i_0_918,axiom,
( c_Orderings_Oord__class_Omax(X2,X3,X1) = X2
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_min__max_Osup__absorb1_0,
[final] ).
cnf(i_0_919,axiom,
( c_Orderings_Oord__class_Omax(X2,X3,X1) = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_min__max_Ole__iff__sup_0,
[final] ).
cnf(i_0_920,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_order__le__less_1,
[final] ).
cnf(i_0_921,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_order__less__imp__le_0,
[final] ).
cnf(i_0_922,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X2
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__iff__inf_0,
[final] ).
cnf(i_0_923,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = X3
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_inf__absorb2_0,
[final] ).
cnf(i_0_924,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = X2
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_min__max_Ole__iff__inf_0,
[final] ).
cnf(i_0_925,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_min__max_Oinf__absorb2_0,
[final] ).
cnf(i_0_926,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != X2 ),
cls_le__iff__inf_1,
[final] ).
cnf(i_0_927,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) != X2 ),
cls_min__max_Ole__iff__inf_1,
[final] ).
cnf(i_0_928,axiom,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X2) = X2,
cls_Int__absorb_0,
[final] ).
cnf(i_0_929,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_930,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
cls_insert__absorb_0,
[final] ).
cnf(i_0_931,axiom,
( c_in(c_Finite__Set_Olinorder__class_OMin(X2,X1),X2,X1)
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_Min__in_0,
[final] ).
cnf(i_0_932,axiom,
( c_in(c_Finite__Set_Olinorder__class_OMax(X2,X1),X2,X1)
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ class_Orderings_Olinorder(X1)
| ~ c_Finite__Set_Ofinite(X2,X1) ),
cls_Max__in_0,
[final] ).
cnf(i_0_933,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
cls_top1I_0,
[final] ).
cnf(i_0_934,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
cls_Diff__empty_0,
[final] ).
cnf(i_0_935,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
cls_empty__subsetI_0,
[final] ).
cnf(i_0_936,axiom,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
cls_subset__UNIV_0,
[final] ).
cnf(i_0_937,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
cls_empty__not__insert_0,
[final] ).
cnf(i_0_938,axiom,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
cls_insert__not__empty_0,
[final] ).
cnf(i_0_939,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
cls_psubset__eq_1,
[final] ).
cnf(i_0_940,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
cls_COMBK__def_0,
[final] ).
cnf(i_0_941,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
cls_linorder__neqE__ordered__idom_0,
[final] ).
cnf(i_0_942,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__antisym__conv3_0,
[final] ).
cnf(i_0_943,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__less__linear_0,
[final] ).
cnf(i_0_944,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__neqE_0,
[final] ).
cnf(i_0_945,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X3,X2,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_not__less__iff__gr__or__eq_0,
[final] ).
cnf(i_0_946,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__linear_0,
[final] ).
cnf(i_0_947,axiom,
( c_HOL_Oord__class_Oless(X2,X2,X1)
| c_lessequals(X2,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__antisym__conv1_1,
[final] ).
cnf(i_0_948,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__not__le_0,
[final] ).
cnf(i_0_949,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_not__leE_0,
[final] ).
cnf(i_0_950,axiom,
( c_lessequals(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__not__less_0,
[final] ).
cnf(i_0_951,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
cls_mem__def_0,
[final] ).
cnf(i_0_952,axiom,
( c_Orderings_Oord__class_Omax(X2,X3,X1) = c_Orderings_Oord__class_Omax(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__commute_0,
[final] ).
cnf(i_0_953,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I1_J_0,
[final] ).
cnf(i_0_954,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X2)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__commute_0,
[final] ).
cnf(i_0_955,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X3) = hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X3),X2)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__commute_0,
[final] ).
cnf(i_0_956,axiom,
c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2),
cls_UNIV__I_0,
[final] ).
cnf(i_0_957,axiom,
c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_Diff__cancel_0,
[final] ).
cnf(i_0_958,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1,
[final] ).
cnf(i_0_959,axiom,
( X2 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1) ),
cls_inf__eq__top__eq1_0,
[final] ).
cnf(i_0_960,axiom,
( X3 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X3) != c_Orderings_Otop__class_Otop(X1) ),
cls_inf__eq__top__eq2_0,
[final] ).
cnf(i_0_961,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_order__less__le_1,
[final] ).
cnf(i_0_962,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_order__less__irrefl_0,
[final] ).
cnf(i_0_963,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_linorder__neq__iff_1,
[final] ).
cnf(i_0_964,axiom,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
cls_ATP__Linkup_Ofequal__imp__equal_0,
[final] ).
cnf(i_0_965,axiom,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_UNIV__not__empty_0,
[final] ).
cnf(i_0_966,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_equalityE_0,
[final] ).
cnf(i_0_967,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_subset__refl_0,
[final] ).
cnf(i_0_968,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Obot__class_Obot(X1)),X2) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__bot__left_0,
[final] ).
cnf(i_0_969,axiom,
( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
cls_finite__UNIV_0,
[final] ).
cnf(i_0_970,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Orderings_Otop__class_Otop(X1)),X2) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__top__left_0,
[final] ).
cnf(i_0_971,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__bot__right_0,
[final] ).
cnf(i_0_972,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
cls_bot__least_0,
[final] ).
cnf(i_0_973,axiom,
( c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1)
| ~ class_Orderings_Otop(X1) ),
cls_top__greatest_0,
[final] ).
cnf(i_0_974,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Orderings_Otop__class_Otop(X1)) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__top__right_0,
[final] ).
cnf(i_0_975,axiom,
c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
cls_finite_OemptyI_0,
[final] ).
cnf(i_0_976,axiom,
( c_Orderings_Oord__class_Omax(X2,X2,X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__idem_0,
[final] ).
cnf(i_0_977,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_order__eq__iff_0,
[final] ).
cnf(i_0_978,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
cls_order__eq__refl_0,
[final] ).
cnf(i_0_979,axiom,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X2) = X2
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__idem_0,
[final] ).
cnf(i_0_980,axiom,
( hAPP(hAPP(c_Orderings_Oord__class_Omin(X1),X2),X2) = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__idem_0,
[final] ).
cnf(i_0_981,axiom,
c_fequal(X1,X1,X2),
cls_ATP__Linkup_Oequal__imp__fequal_0,
[final] ).
cnf(i_0_982,axiom,
( X2 = X3
| ~ class_Orderings_Olinorder(X1)
| c_SetInterval_Oord__class_OlessThan(X2,X1) != c_SetInterval_Oord__class_OlessThan(X3,X1) ),
cls_lessThan__eq__iff_0,
[final] ).
cnf(i_0_983,negated_conjecture,
c_in(v_pn,v_U,tc_Com_Opname),
cls_conjecture_2,
[final] ).
cnf(i_0_984,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_985,axiom,
( class_Orderings_Obot(tc_fun(X1,X2))
| ~ class_Orderings_Obot(X2) ),
clsarity_fun__Orderings_Obot,
[final] ).
cnf(i_0_986,axiom,
( class_Orderings_Otop(tc_fun(X1,X2))
| ~ class_Orderings_Otop(X2) ),
clsarity_fun__Orderings_Otop,
[final] ).
cnf(i_0_987,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_988,axiom,
( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Obounded__lattice(X2) ),
clsarity_fun__Lattices_Obounded__lattice,
[final] ).
cnf(i_0_989,axiom,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Olattice,
[final] ).
cnf(i_0_990,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_991,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
clsarity_fun__Orderings_Oorder,
[final] ).
cnf(i_0_992,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
clsarity_fun__Orderings_Opreorder,
[final] ).
cnf(i_0_993,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
clsarity_fun__HOL_Oord,
[final] ).
cnf(i_0_994,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1) = c_Orderings_Oord__class_Omin(X1)
| ~ class_Orderings_Olinorder(X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__min_0,
[final] ).
cnf(i_0_995,axiom,
( c_Finite__Set_Ofinite(X2,X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
cls_finite_0,
[final] ).
cnf(i_0_996,negated_conjecture,
c_Finite__Set_Ofinite(v_U,tc_Com_Opname),
cls_conjecture_0,
[final] ).
cnf(i_0_997,axiom,
class_Orderings_Obot(tc_nat),
clsarity_nat__Orderings_Obot,
[final] ).
cnf(i_0_998,axiom,
class_Orderings_Obot(tc_bool),
clsarity_bool__Orderings_Obot,
[final] ).
cnf(i_0_999,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
clsarity_bool__Finite__Set_Ofinite_Ofinite,
[final] ).
cnf(i_0_1000,axiom,
class_Orderings_Otop(tc_bool),
clsarity_bool__Orderings_Otop,
[final] ).
cnf(i_0_1001,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
clsarity_bool__Complete__Lattice_Ocomplete__lattice,
[final] ).
cnf(i_0_1002,axiom,
class_Lattices_Obounded__lattice(tc_bool),
clsarity_bool__Lattices_Obounded__lattice,
[final] ).
cnf(i_0_1003,axiom,
class_Lattices_Olattice(tc_nat),
clsarity_nat__Lattices_Olattice,
[final] ).
cnf(i_0_1004,axiom,
class_Lattices_Olattice(tc_bool),
clsarity_bool__Lattices_Olattice,
[final] ).
cnf(i_0_1005,axiom,
class_Lattices_Olower__semilattice(tc_nat),
clsarity_nat__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_1006,axiom,
class_Lattices_Olower__semilattice(tc_bool),
clsarity_bool__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_1007,axiom,
class_Orderings_Oorder(tc_nat),
clsarity_nat__Orderings_Oorder,
[final] ).
cnf(i_0_1008,axiom,
class_Orderings_Oorder(tc_bool),
clsarity_bool__Orderings_Oorder,
[final] ).
cnf(i_0_1009,axiom,
class_Orderings_Opreorder(tc_nat),
clsarity_nat__Orderings_Opreorder,
[final] ).
cnf(i_0_1010,axiom,
class_Orderings_Opreorder(tc_bool),
clsarity_bool__Orderings_Opreorder,
[final] ).
cnf(i_0_1011,axiom,
class_HOL_Oord(tc_nat),
clsarity_nat__HOL_Oord,
[final] ).
cnf(i_0_1012,axiom,
class_HOL_Oord(tc_bool),
clsarity_bool__HOL_Oord,
[final] ).
cnf(i_0_1013,axiom,
class_Orderings_Olinorder(tc_nat),
clsarity_nat__Orderings_Olinorder,
[final] ).
cnf(i_0_1014,axiom,
X1 = X1 ).
cnf(i_0_1015,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1016,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1017,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1018,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1019,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X1,X3,X4,X5,X6) = c_Fun_Ofun__upd(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1020,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X1,X4,X5,X6) = c_Fun_Ofun__upd(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1021,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X1,X5,X6) = c_Fun_Ofun__upd(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1022,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X1,X6) = c_Fun_Ofun__upd(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1023,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X6,X1) = c_Fun_Ofun__upd(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1024,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X1) = c_Lattices_Olower__semilattice__class_Oinf(X2) ) ).
cnf(i_0_1025,axiom,
( X1 != X2
| c_Finite__Set_Ocard(X1,X3) = c_Finite__Set_Ocard(X2,X3) ) ).
cnf(i_0_1026,axiom,
( X1 != X2
| c_Finite__Set_Ocard(X3,X1) = c_Finite__Set_Ocard(X3,X2) ) ).
cnf(i_0_1027,axiom,
( X1 != X2
| c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).
cnf(i_0_1028,axiom,
( X1 != X2
| c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).
cnf(i_0_1029,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).
cnf(i_0_1030,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).
cnf(i_0_1031,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).
cnf(i_0_1032,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X1,X3,X4,X5) = c_Finite__Set_Osetsum(X2,X3,X4,X5) ) ).
cnf(i_0_1033,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X1,X4,X5) = c_Finite__Set_Osetsum(X3,X2,X4,X5) ) ).
cnf(i_0_1034,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X1,X5) = c_Finite__Set_Osetsum(X3,X4,X2,X5) ) ).
cnf(i_0_1035,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X5,X1) = c_Finite__Set_Osetsum(X3,X4,X5,X2) ) ).
cnf(i_0_1036,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omax(X1,X3,X4) = c_Orderings_Oord__class_Omax(X2,X3,X4) ) ).
cnf(i_0_1037,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omax(X3,X1,X4) = c_Orderings_Oord__class_Omax(X3,X2,X4) ) ).
cnf(i_0_1038,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omax(X3,X4,X1) = c_Orderings_Oord__class_Omax(X3,X4,X2) ) ).
cnf(i_0_1039,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omin(X1) = c_Orderings_Oord__class_Omin(X2) ) ).
cnf(i_0_1040,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OlessThan(X1,X3) = c_SetInterval_Oord__class_OlessThan(X2,X3) ) ).
cnf(i_0_1041,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OlessThan(X3,X1) = c_SetInterval_Oord__class_OlessThan(X3,X2) ) ).
cnf(i_0_1042,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMax(X1,X3) = c_Finite__Set_Olinorder__class_OMax(X2,X3) ) ).
cnf(i_0_1043,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMax(X3,X1) = c_Finite__Set_Olinorder__class_OMax(X3,X2) ) ).
cnf(i_0_1044,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMin(X1,X3) = c_Finite__Set_Olinorder__class_OMin(X2,X3) ) ).
cnf(i_0_1045,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMin(X3,X1) = c_Finite__Set_Olinorder__class_OMin(X3,X2) ) ).
cnf(i_0_1046,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_1047,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_1048,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_1049,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_1050,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_1051,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_1052,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_1053,axiom,
( X1 != X2
| c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).
cnf(i_0_1054,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).
cnf(i_0_1055,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).
cnf(i_0_1056,axiom,
( X1 != X2
| c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).
cnf(i_0_1057,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Fun_Oinj__on(X2,X3,X4,X5) ) ).
cnf(i_0_1058,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| c_Fun_Oinj__on(X3,X2,X4,X5) ) ).
cnf(i_0_1059,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X1,X5)
| c_Fun_Oinj__on(X3,X4,X2,X5) ) ).
cnf(i_0_1060,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X1)
| c_Fun_Oinj__on(X3,X4,X5,X2) ) ).
cnf(i_0_1061,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X1,X3,X4)
| c_HOL_Oord__class_Oless(X2,X3,X4) ) ).
cnf(i_0_1062,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X1,X4)
| c_HOL_Oord__class_Oless(X3,X2,X4) ) ).
cnf(i_0_1063,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| c_HOL_Oord__class_Oless(X3,X4,X2) ) ).
cnf(i_0_1064,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1065,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1066,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1067,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_1068,axiom,
( X1 != X2
| ~ class_Lattices_Olower__semilattice(X1)
| class_Lattices_Olower__semilattice(X2) ) ).
cnf(i_0_1069,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1070,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1071,axiom,
( X1 != X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| class_Complete__Lattice_Ocomplete__lattice(X2) ) ).
cnf(i_0_1072,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__idom(X2) ) ).
cnf(i_0_1073,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X1,X3,X4,X5,X6,X7)
| c_Nitpick_Ofold__graph_H(X2,X3,X4,X5,X6,X7) ) ).
cnf(i_0_1074,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X1,X4,X5,X6,X7)
| c_Nitpick_Ofold__graph_H(X3,X2,X4,X5,X6,X7) ) ).
cnf(i_0_1075,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X4,X1,X5,X6,X7)
| c_Nitpick_Ofold__graph_H(X3,X4,X2,X5,X6,X7) ) ).
cnf(i_0_1076,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X4,X5,X1,X6,X7)
| c_Nitpick_Ofold__graph_H(X3,X4,X5,X2,X6,X7) ) ).
cnf(i_0_1077,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X1,X7)
| c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X2,X7) ) ).
cnf(i_0_1078,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X7,X1)
| c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X7,X2) ) ).
cnf(i_0_1079,axiom,
( X1 != X2
| ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(X2) ) ).
cnf(i_0_1080,axiom,
( X1 != X2
| ~ c_fequal(X1,X3,X4)
| c_fequal(X2,X3,X4) ) ).
cnf(i_0_1081,axiom,
( X1 != X2
| ~ c_fequal(X3,X1,X4)
| c_fequal(X3,X2,X4) ) ).
cnf(i_0_1082,axiom,
( X1 != X2
| ~ c_fequal(X3,X4,X1)
| c_fequal(X3,X4,X2) ) ).
cnf(i_0_1083,axiom,
( X1 != X2
| ~ class_Finite__Set_Ofinite_Ofinite(X1)
| class_Finite__Set_Ofinite_Ofinite(X2) ) ).
cnf(i_0_1084,axiom,
( X1 != X2
| ~ class_Orderings_Obot(X1)
| class_Orderings_Obot(X2) ) ).
cnf(i_0_1085,axiom,
( X1 != X2
| ~ class_Orderings_Otop(X1)
| class_Orderings_Otop(X2) ) ).
cnf(i_0_1086,axiom,
( X1 != X2
| ~ c_in(X1,X3,X4)
| c_in(X2,X3,X4) ) ).
cnf(i_0_1087,axiom,
( X1 != X2
| ~ c_in(X3,X1,X4)
| c_in(X3,X2,X4) ) ).
cnf(i_0_1088,axiom,
( X1 != X2
| ~ c_in(X3,X4,X1)
| c_in(X3,X4,X2) ) ).
cnf(i_0_1089,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X6,X7)
| c_Finite__Set_Ofold__graph(X2,X3,X4,X5,X6,X7) ) ).
cnf(i_0_1090,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X1,X4,X5,X6,X7)
| c_Finite__Set_Ofold__graph(X3,X2,X4,X5,X6,X7) ) ).
cnf(i_0_1091,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X4,X1,X5,X6,X7)
| c_Finite__Set_Ofold__graph(X3,X4,X2,X5,X6,X7) ) ).
cnf(i_0_1092,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X1,X6,X7)
| c_Finite__Set_Ofold__graph(X3,X4,X5,X2,X6,X7) ) ).
cnf(i_0_1093,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X1,X7)
| c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X2,X7) ) ).
cnf(i_0_1094,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X7,X1)
| c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X7,X2) ) ).
cnf(i_0_1095,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X1,X3)
| c_Finite__Set_Ofinite(X2,X3) ) ).
cnf(i_0_1096,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X3,X1)
| c_Finite__Set_Ofinite(X3,X2) ) ).
cnf(i_0_1097,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1098,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1099,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1100,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1101,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_1102,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oring(X1)
| class_Ring__and__Field_Oring(X2) ) ).
cnf(i_0_1014_001,axiom,
X1 = X1 ).
cnf(i_0_1015_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1016_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1017_004,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1018_005,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1019_006,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X1,X3,X4,X5,X6) = c_Fun_Ofun__upd(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1020_007,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X1,X4,X5,X6) = c_Fun_Ofun__upd(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1021_008,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X1,X5,X6) = c_Fun_Ofun__upd(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1022_009,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X1,X6) = c_Fun_Ofun__upd(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1023_010,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X6,X1) = c_Fun_Ofun__upd(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1024_011,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X1) = c_Lattices_Olower__semilattice__class_Oinf(X2) ) ).
cnf(i_0_1025_012,axiom,
( X1 != X2
| c_Finite__Set_Ocard(X1,X3) = c_Finite__Set_Ocard(X2,X3) ) ).
cnf(i_0_1026_013,axiom,
( X1 != X2
| c_Finite__Set_Ocard(X3,X1) = c_Finite__Set_Ocard(X3,X2) ) ).
cnf(i_0_1027_014,axiom,
( X1 != X2
| c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).
cnf(i_0_1028_015,axiom,
( X1 != X2
| c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).
cnf(i_0_1029_016,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).
cnf(i_0_1030_017,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).
cnf(i_0_1031_018,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).
cnf(i_0_1032_019,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X1,X3,X4,X5) = c_Finite__Set_Osetsum(X2,X3,X4,X5) ) ).
cnf(i_0_1033_020,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X1,X4,X5) = c_Finite__Set_Osetsum(X3,X2,X4,X5) ) ).
cnf(i_0_1034_021,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X1,X5) = c_Finite__Set_Osetsum(X3,X4,X2,X5) ) ).
cnf(i_0_1035_022,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X5,X1) = c_Finite__Set_Osetsum(X3,X4,X5,X2) ) ).
cnf(i_0_1036_023,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omax(X1,X3,X4) = c_Orderings_Oord__class_Omax(X2,X3,X4) ) ).
cnf(i_0_1037_024,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omax(X3,X1,X4) = c_Orderings_Oord__class_Omax(X3,X2,X4) ) ).
cnf(i_0_1038_025,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omax(X3,X4,X1) = c_Orderings_Oord__class_Omax(X3,X4,X2) ) ).
cnf(i_0_1039_026,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omin(X1) = c_Orderings_Oord__class_Omin(X2) ) ).
cnf(i_0_1040_027,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OlessThan(X1,X3) = c_SetInterval_Oord__class_OlessThan(X2,X3) ) ).
cnf(i_0_1041_028,axiom,
( X1 != X2
| c_SetInterval_Oord__class_OlessThan(X3,X1) = c_SetInterval_Oord__class_OlessThan(X3,X2) ) ).
cnf(i_0_1042_029,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMax(X1,X3) = c_Finite__Set_Olinorder__class_OMax(X2,X3) ) ).
cnf(i_0_1043_030,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMax(X3,X1) = c_Finite__Set_Olinorder__class_OMax(X3,X2) ) ).
cnf(i_0_1044_031,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMin(X1,X3) = c_Finite__Set_Olinorder__class_OMin(X2,X3) ) ).
cnf(i_0_1045_032,axiom,
( X1 != X2
| c_Finite__Set_Olinorder__class_OMin(X3,X1) = c_Finite__Set_Olinorder__class_OMin(X3,X2) ) ).
cnf(i_0_1046_033,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_1047_034,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_1048_035,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_1049_036,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_1050_037,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_1051_038,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_1052_039,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_1053_040,axiom,
( X1 != X2
| c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).
cnf(i_0_1054_041,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).
cnf(i_0_1055_042,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).
cnf(i_0_1056_043,axiom,
( X1 != X2
| c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).
cnf(i_0_1057_044,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Fun_Oinj__on(X2,X3,X4,X5) ) ).
cnf(i_0_1058_045,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| c_Fun_Oinj__on(X3,X2,X4,X5) ) ).
cnf(i_0_1059_046,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X1,X5)
| c_Fun_Oinj__on(X3,X4,X2,X5) ) ).
cnf(i_0_1060_047,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X1)
| c_Fun_Oinj__on(X3,X4,X5,X2) ) ).
cnf(i_0_1061_048,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X1,X3,X4)
| c_HOL_Oord__class_Oless(X2,X3,X4) ) ).
cnf(i_0_1062_049,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X1,X4)
| c_HOL_Oord__class_Oless(X3,X2,X4) ) ).
cnf(i_0_1063_050,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| c_HOL_Oord__class_Oless(X3,X4,X2) ) ).
cnf(i_0_1064_051,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1065_052,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1066_053,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1067_054,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_1068_055,axiom,
( X1 != X2
| ~ class_Lattices_Olower__semilattice(X1)
| class_Lattices_Olower__semilattice(X2) ) ).
cnf(i_0_1069_056,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1070_057,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1071_058,axiom,
( X1 != X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| class_Complete__Lattice_Ocomplete__lattice(X2) ) ).
cnf(i_0_1072_059,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__idom(X2) ) ).
cnf(i_0_1073_060,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X1,X3,X4,X5,X6,X7)
| c_Nitpick_Ofold__graph_H(X2,X3,X4,X5,X6,X7) ) ).
cnf(i_0_1074_061,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X1,X4,X5,X6,X7)
| c_Nitpick_Ofold__graph_H(X3,X2,X4,X5,X6,X7) ) ).
cnf(i_0_1075_062,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X4,X1,X5,X6,X7)
| c_Nitpick_Ofold__graph_H(X3,X4,X2,X5,X6,X7) ) ).
cnf(i_0_1076_063,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X4,X5,X1,X6,X7)
| c_Nitpick_Ofold__graph_H(X3,X4,X5,X2,X6,X7) ) ).
cnf(i_0_1077_064,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X1,X7)
| c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X2,X7) ) ).
cnf(i_0_1078_065,axiom,
( X1 != X2
| ~ c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X7,X1)
| c_Nitpick_Ofold__graph_H(X3,X4,X5,X6,X7,X2) ) ).
cnf(i_0_1079_066,axiom,
( X1 != X2
| ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(X2) ) ).
cnf(i_0_1080_067,axiom,
( X1 != X2
| ~ c_fequal(X1,X3,X4)
| c_fequal(X2,X3,X4) ) ).
cnf(i_0_1081_068,axiom,
( X1 != X2
| ~ c_fequal(X3,X1,X4)
| c_fequal(X3,X2,X4) ) ).
cnf(i_0_1082_069,axiom,
( X1 != X2
| ~ c_fequal(X3,X4,X1)
| c_fequal(X3,X4,X2) ) ).
cnf(i_0_1083_070,axiom,
( X1 != X2
| ~ class_Finite__Set_Ofinite_Ofinite(X1)
| class_Finite__Set_Ofinite_Ofinite(X2) ) ).
cnf(i_0_1084_071,axiom,
( X1 != X2
| ~ class_Orderings_Obot(X1)
| class_Orderings_Obot(X2) ) ).
cnf(i_0_1085_072,axiom,
( X1 != X2
| ~ class_Orderings_Otop(X1)
| class_Orderings_Otop(X2) ) ).
cnf(i_0_1086_073,axiom,
( X1 != X2
| ~ c_in(X1,X3,X4)
| c_in(X2,X3,X4) ) ).
cnf(i_0_1087_074,axiom,
( X1 != X2
| ~ c_in(X3,X1,X4)
| c_in(X3,X2,X4) ) ).
cnf(i_0_1088_075,axiom,
( X1 != X2
| ~ c_in(X3,X4,X1)
| c_in(X3,X4,X2) ) ).
cnf(i_0_1089_076,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X1,X3,X4,X5,X6,X7)
| c_Finite__Set_Ofold__graph(X2,X3,X4,X5,X6,X7) ) ).
cnf(i_0_1090_077,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X1,X4,X5,X6,X7)
| c_Finite__Set_Ofold__graph(X3,X2,X4,X5,X6,X7) ) ).
cnf(i_0_1091_078,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X4,X1,X5,X6,X7)
| c_Finite__Set_Ofold__graph(X3,X4,X2,X5,X6,X7) ) ).
cnf(i_0_1092_079,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X1,X6,X7)
| c_Finite__Set_Ofold__graph(X3,X4,X5,X2,X6,X7) ) ).
cnf(i_0_1093_080,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X1,X7)
| c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X2,X7) ) ).
cnf(i_0_1094_081,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X7,X1)
| c_Finite__Set_Ofold__graph(X3,X4,X5,X6,X7,X2) ) ).
cnf(i_0_1095_082,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X1,X3)
| c_Finite__Set_Ofinite(X2,X3) ) ).
cnf(i_0_1096_083,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X3,X1)
| c_Finite__Set_Ofinite(X3,X2) ) ).
cnf(i_0_1097_084,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1098_085,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1099_086,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1100_087,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1101_088,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_1102_089,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oring(X1)
| class_Ring__and__Field_Oring(X2) ) ).
cnf(i_0_1103,plain,
( X1 = X1
| ~ c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5)
| ~ c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5) ),
inference(equality_inference,[],[532]) ).
cnf(i_0_1104,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
inference(equality_inference,[],[582]) ).
cnf(i_0_1105,plain,
( X1 = X2
| X1 = X1 ),
inference(equality_inference,[],[627]) ).
cnf(i_0_1106,plain,
( X1 = X2
| X2 = X2 ),
inference(equality_inference,[],[628]) ).
cnf(i_0_1107,plain,
( X1 = X2
| X2 = X2 ),
inference(equality_inference,[],[629]) ).
cnf(i_0_1108,plain,
( X1 = X2
| X1 = X1 ),
inference(equality_inference,[],[630]) ).
cnf(i_0_1109,plain,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,X2,X3)
| X1 = X1
| ~ c_Fun_Oinj__on(X4,X2,X3,X5) ),
inference(equality_inference,[],[662]) ).
cnf(i_0_1110,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
inference(equality_inference,[],[678]) ).
cnf(i_0_1111,plain,
X1 = X1,
inference(equality_inference,[],[740]) ).
cnf(i_0_1112,plain,
( X1 = X1
| c_in(X2,X1,X3)
| c_in(X2,X1,X3) ),
inference(equality_inference,[],[790]) ).
cnf(i_0_1113,plain,
( c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))
| ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) ),
inference(equality_inference,[],[803]) ).
cnf(i_0_1114,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[878]) ).
cnf(i_0_1115,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[879]) ).
cnf(i_0_1116,plain,
( X1 = X1
| ~ class_Orderings_Olinorder(X2) ),
inference(equality_inference,[],[982]) ).
cnf(i_0_1117,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_845,i_0_653]) ).
cnf(i_0_1118,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_845]) ).
cnf(i_0_1119,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_653]) ).
cnf(i_0_1120,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3),X4,tc_fun(X1,tc_bool)),X3,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_845,i_0_1118,i_0_653,i_0_654]) ).
cnf(i_0_1121,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_845]) ).
cnf(i_0_1122,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X4),tc_fun(X2,tc_bool))
| c_lessequals(X1,X4,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_1123,plain,
~ c_lessequals(c_Set_Oinsert(X1,c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_845,i_0_1118,i_0_653,i_0_654,i_0_717]) ).
cnf(i_0_1124,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_717]) ).
cnf(i_0_1125,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_845,i_0_1118,i_0_653,i_0_654,i_0_717,i_0_865]) ).
cnf(i_0_1126,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_865]) ).
cnf(i_0_1127,plain,
c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a) = v_G,
inference(scs_inference,[],[i_0_583,i_0_832,i_0_845,i_0_1118,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015]) ).
cnf(i_0_1128,plain,
c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X5,X4),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_845,i_0_1118,i_0_643,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516]) ).
cnf(i_0_1129,plain,
c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4),
inference(rename_variables,[],[i_0_643]) ).
cnf(i_0_1130,plain,
( ~ c_in(hAPP(X1,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(X2,X3,X1,X4,X5)),X3,X5)
| c_lessequals(c_Set_Oimage(X1,X2,X4,X5),X3,tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_516]) ).
cnf(i_0_1131,plain,
~ c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X4),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_893,i_0_845,i_0_1118,i_0_643,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555]) ).
cnf(i_0_1132,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
inference(rename_variables,[],[i_0_893]) ).
cnf(i_0_1133,plain,
( c_in(hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5),X1,X3)
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4) ),
inference(rename_variables,[],[i_0_555]) ).
cnf(i_0_1134,plain,
~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X4),X5)),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_893,i_0_845,i_0_1118,i_0_643,i_0_857,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561]) ).
cnf(i_0_1135,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(rename_variables,[],[i_0_857]) ).
cnf(i_0_1136,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_561]) ).
cnf(i_0_1137,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_643,i_0_857,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563]) ).
cnf(i_0_1138,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_967]) ).
cnf(i_0_1139,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1,X5,X4) ),
inference(rename_variables,[],[i_0_563]) ).
cnf(i_0_1140,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_583,i_0_832,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_643,i_0_857,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590]) ).
cnf(i_0_1141,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_590]) ).
cnf(i_0_1142,plain,
c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,c_Set_Oinsert(X5,X2,X4),X3,X4),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_643,i_0_857,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591]) ).
cnf(i_0_1143,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_591]) ).
cnf(i_0_1144,plain,
hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),X3,X4),X5,X6),X2)),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_643,i_0_831,i_0_857,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594]) ).
cnf(i_0_1145,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
inference(rename_variables,[],[i_0_831]) ).
cnf(i_0_1146,plain,
( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
| hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_594]) ).
cnf(i_0_1147,plain,
c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),X3,X4),X5,X4),X5),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_643,i_0_831,i_0_857,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647]) ).
cnf(i_0_1148,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_904]) ).
cnf(i_0_1149,plain,
( ~ c_in(hAPP(X1,X2),X3,X4)
| c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
inference(rename_variables,[],[i_0_647]) ).
cnf(i_0_1150,plain,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_643,i_0_747,i_0_831,i_0_857,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727]) ).
cnf(i_0_1151,plain,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X1,tc_bool)) = X2 ),
inference(rename_variables,[],[i_0_727]) ).
cnf(i_0_1152,plain,
c_in(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),X4),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_643,i_0_747,i_0_831,i_0_857,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728]) ).
cnf(i_0_1153,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_1154,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_728]) ).
cnf(i_0_1155,plain,
~ c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_643,i_0_938,i_0_747,i_0_831,i_0_857,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844]) ).
cnf(i_0_1156,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_844]) ).
cnf(i_0_1157,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_643,i_0_938,i_0_747,i_0_831,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951]) ).
cnf(i_0_1158,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_951]) ).
cnf(i_0_1159,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X4),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_643,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958]) ).
cnf(i_0_1160,plain,
( ~ hBOOL(hAPP(X1,X2))
| c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_958]) ).
cnf(i_0_1161,plain,
~ c_fequal(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Set_Oinsert(X2,X3,X1),X4),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964]) ).
cnf(i_0_1162,plain,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
inference(rename_variables,[],[i_0_964]) ).
cnf(i_0_1163,plain,
c_lessequals(X1,X1,tc_nat),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_1007,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977]) ).
cnf(i_0_1164,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_977]) ).
cnf(i_0_1165,plain,
c_lessequals(X1,X1,tc_bool),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_1007,i_0_1010,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978]) ).
cnf(i_0_1166,plain,
( ~ class_Orderings_Opreorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_978]) ).
cnf(i_0_1167,plain,
c_Finite__Set_Ofinite(X1,tc_bool),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_999,i_0_1007,i_0_1010,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995]) ).
cnf(i_0_1168,plain,
( ~ class_Finite__Set_Ofinite_Ofinite(X1)
| c_Finite__Set_Ofinite(X2,X1) ),
inference(rename_variables,[],[i_0_995]) ).
cnf(i_0_1169,plain,
~ c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1007,i_0_1010,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709]) ).
cnf(i_0_1170,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_935]) ).
cnf(i_0_1171,plain,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
inference(rename_variables,[],[i_0_709]) ).
cnf(i_0_1172,plain,
c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1007,i_0_1010,i_0_1013,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760]) ).
cnf(i_0_1173,plain,
( ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_760]) ).
cnf(i_0_1174,plain,
c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1007,i_0_1010,i_0_1013,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762]) ).
cnf(i_0_1175,plain,
( ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X4,X3) ),
inference(rename_variables,[],[i_0_762]) ).
cnf(i_0_1176,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2),X1,tc_bool),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1013,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770]) ).
cnf(i_0_1177,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
| ~ class_Lattices_Olower__semilattice(X2)
| c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_770]) ).
cnf(i_0_1178,plain,
c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),X1),X2),X2,tc_bool),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1013,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772]) ).
cnf(i_0_1179,plain,
( ~ c_lessequals(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4),X2)
| ~ class_Lattices_Olower__semilattice(X2)
| c_lessequals(X1,X4,X2) ),
inference(rename_variables,[],[i_0_772]) ).
cnf(i_0_1180,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852]) ).
cnf(i_0_1181,plain,
( c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_852]) ).
cnf(i_0_1182,plain,
c_Fun_Ofun__upd(v_G,X1,hAPP(v_G,X1),X2,X3) = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_586,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016]) ).
cnf(i_0_1183,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(rename_variables,[],[i_0_586]) ).
cnf(i_0_1184,plain,
~ c_HOL_Oord__class_Oless(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_939,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_586,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061]) ).
cnf(i_0_1185,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_939]) ).
cnf(i_0_1186,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),v_G,tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_939,i_0_1185,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_586,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062]) ).
cnf(i_0_1187,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_939]) ).
cnf(i_0_1188,plain,
~ c_HOL_Oord__class_Oless(X1,X1,c_Fun_Ofun__upd(tc_fun(X2,tc_bool),X3,hAPP(tc_fun(X2,tc_bool),X3),X4,X5)),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_939,i_0_1185,i_0_1187,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_586,i_0_1183,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063]) ).
cnf(i_0_1189,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(rename_variables,[],[i_0_586]) ).
cnf(i_0_1190,plain,
~ c_fequal(c_Fun_Ofun__upd(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2),X3,X4),c_Set_Oinsert(X5,X6,X1),X7),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_939,i_0_1185,i_0_1187,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_586,i_0_1183,i_0_1189,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080]) ).
cnf(i_0_1191,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(rename_variables,[],[i_0_586]) ).
cnf(i_0_1192,plain,
~ c_in(c_Fun_Ofun__upd(hAPP(v_mgt__call,v_pn),X1,hAPP(hAPP(v_mgt__call,v_pn),X1),X2,X3),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_939,i_0_1185,i_0_1187,i_0_967,i_0_893,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086]) ).
cnf(i_0_1193,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(rename_variables,[],[i_0_586]) ).
cnf(i_0_1194,plain,
~ c_in(X1,c_Fun_Ofun__upd(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),X4,X5),X2),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_939,i_0_1185,i_0_1187,i_0_967,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087]) ).
cnf(i_0_1195,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(rename_variables,[],[i_0_586]) ).
cnf(i_0_1196,plain,
~ c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),v_G),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_939,i_0_1185,i_0_1187,i_0_967,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088]) ).
cnf(i_0_1197,plain,
~ c_lessequals(c_Set_Oinsert(X1,c_Set_Oinsert(X1,c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),t_a),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_939,i_0_1185,i_0_1187,i_0_967,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097]) ).
cnf(i_0_1198,plain,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
inference(rename_variables,[],[i_0_849]) ).
cnf(i_0_1199,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_939,i_0_1185,i_0_1187,i_0_967,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098]) ).
cnf(i_0_1200,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Fun_Ofun__upd(tc_fun(t_a,tc_bool),X1,hAPP(tc_fun(t_a,tc_bool),X1),X2,X3)),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_939,i_0_1185,i_0_1187,i_0_967,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099]) ).
cnf(i_0_1201,plain,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
inference(rename_variables,[],[i_0_586]) ).
cnf(i_0_1202,plain,
hAPP(c_Set_Oinsert(X1,X2,X3),X1) != hAPP(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_939,i_0_1185,i_0_1187,i_0_967,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100]) ).
cnf(i_0_1203,plain,
c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X1,c_Set_Oimage(X2,X1,X3,tc_bool),X2,X3,tc_bool),X1,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_832,i_0_904,i_0_872,i_0_939,i_0_1185,i_0_1187,i_0_967,i_0_1138,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530]) ).
cnf(i_0_1204,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_967]) ).
cnf(i_0_1205,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(X3,X1,X2,X4,X5),X3,tc_fun(X4,tc_bool))
| ~ c_Finite__Set_Ofinite(X1,X5) ),
inference(rename_variables,[],[i_0_530]) ).
cnf(i_0_1206,plain,
c_lessequals(v_U,c_Set_Oinsert(v_pn,c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(v_U,c_Set_Oinsert(v_pn,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_939,i_0_1185,i_0_1187,i_0_967,i_0_1138,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581]) ).
cnf(i_0_1207,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_1208,plain,
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_581]) ).
cnf(i_0_1209,plain,
c_in(hAPP(X1,v_pn),c_Set_Oinsert(X2,c_Set_Oimage(X1,v_U,tc_Com_Opname,X3),X3),X3),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_939,i_0_1185,i_0_1187,i_0_967,i_0_1138,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606]) ).
cnf(i_0_1210,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_1211,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_606]) ).
cnf(i_0_1212,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(X1,v_U,tc_Com_Opname,X2),X2),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_939,i_0_1185,i_0_1187,i_0_967,i_0_1138,i_0_1204,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619]) ).
cnf(i_0_1213,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_967]) ).
cnf(i_0_1214,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_619]) ).
cnf(i_0_1215,plain,
c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)),X2,X4),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_939,i_0_1185,i_0_1187,i_0_967,i_0_1138,i_0_1204,i_0_782,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_1121,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638]) ).
cnf(i_0_1216,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_845]) ).
cnf(i_0_1217,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X4,X2,X3,X5)
| c_Fun_Oinj__on(X4,X1,X3,X5) ),
inference(rename_variables,[],[i_0_638]) ).
cnf(i_0_1218,plain,
~ c_HOL_Oord__class_Oless(v_U,c_Set_Oinsert(v_pn,v_U,tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_939,i_0_1185,i_0_1187,i_0_967,i_0_1138,i_0_1204,i_0_782,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_1121,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689]) ).
cnf(i_0_1219,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_939]) ).
cnf(i_0_1220,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_in(X4,X2,X3) ),
inference(rename_variables,[],[i_0_689]) ).
cnf(i_0_1221,plain,
~ c_in(v_pn,c_HOL_Ominus__class_Ominus(X1,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_939,i_0_1185,i_0_1187,i_0_967,i_0_1138,i_0_1204,i_0_782,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_1121,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689,i_0_693]) ).
cnf(i_0_1222,plain,
hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_747]) ).
cnf(i_0_1223,plain,
( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
| ~ c_in(X4,X3,X1)
| ~ c_in(X4,X2,X1) ),
inference(rename_variables,[],[i_0_693]) ).
cnf(i_0_1224,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(v_pn,v_U,tc_Com_Opname),v_U,tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_939,i_0_1185,i_0_1187,i_0_1219,i_0_967,i_0_1138,i_0_1204,i_0_782,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_1121,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689,i_0_693,i_0_710]) ).
cnf(i_0_1225,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_939]) ).
cnf(i_0_1226,plain,
( c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_fun(X4,tc_bool))
| ~ c_in(X2,X3,X4) ),
inference(rename_variables,[],[i_0_710]) ).
cnf(i_0_1227,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,X2,X3),X2,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_1210,i_0_939,i_0_1185,i_0_1187,i_0_1219,i_0_1225,i_0_967,i_0_1138,i_0_1204,i_0_782,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_1121,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689,i_0_693,i_0_710,i_0_752]) ).
cnf(i_0_1228,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_939]) ).
cnf(i_0_1229,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_752]) ).
cnf(i_0_1230,plain,
~ c_HOL_Oord__class_Oless(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),t_a),t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_1210,i_0_939,i_0_1185,i_0_1187,i_0_1219,i_0_1225,i_0_967,i_0_1138,i_0_1204,i_0_782,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_1121,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689,i_0_693,i_0_710,i_0_752,i_0_753]) ).
cnf(i_0_1231,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_1232,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_753]) ).
cnf(i_0_1233,plain,
hAPP(v_mgt__call,v_pn) = X1,
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_1210,i_0_939,i_0_1185,i_0_1187,i_0_1219,i_0_1225,i_0_967,i_0_1138,i_0_1204,i_0_782,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_1121,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689,i_0_693,i_0_710,i_0_752,i_0_753,i_0_768]) ).
cnf(i_0_1234,plain,
( ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| c_in(X1,X3,X4)
| X1 = X2 ),
inference(rename_variables,[],[i_0_768]) ).
cnf(i_0_1235,plain,
c_in(v_pn,c_Set_Oinsert(X1,v_U,tc_Com_Opname),tc_Com_Opname),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_1210,i_0_1231,i_0_939,i_0_1185,i_0_1187,i_0_1219,i_0_1225,i_0_967,i_0_1138,i_0_1204,i_0_782,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_1121,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689,i_0_693,i_0_710,i_0_752,i_0_753,i_0_768,i_0_799]) ).
cnf(i_0_1236,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_1237,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_799]) ).
cnf(i_0_1238,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_1210,i_0_1231,i_0_939,i_0_1185,i_0_1187,i_0_1219,i_0_1225,i_0_967,i_0_1138,i_0_1204,i_0_782,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_1121,i_0_1216,i_0_935,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689,i_0_693,i_0_710,i_0_752,i_0_753,i_0_768,i_0_799,i_0_801]) ).
cnf(i_0_1239,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_801]) ).
cnf(i_0_1240,plain,
c_Set_Oinsert(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_1210,i_0_1231,i_0_1236,i_0_939,i_0_1185,i_0_1187,i_0_1219,i_0_1225,i_0_967,i_0_1138,i_0_1204,i_0_782,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_1121,i_0_1216,i_0_935,i_0_936,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689,i_0_693,i_0_710,i_0_752,i_0_753,i_0_768,i_0_799,i_0_801,i_0_829]) ).
cnf(i_0_1241,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_1242,plain,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_936]) ).
cnf(i_0_1243,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| X2 = X1 ),
inference(rename_variables,[],[i_0_829]) ).
cnf(i_0_1244,plain,
v_U = c_Set_Oinsert(v_pn,v_U,tc_Com_Opname),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_1210,i_0_1231,i_0_1236,i_0_1241,i_0_939,i_0_1185,i_0_1187,i_0_1219,i_0_1225,i_0_967,i_0_1138,i_0_1204,i_0_782,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_1121,i_0_1216,i_0_935,i_0_936,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689,i_0_693,i_0_710,i_0_752,i_0_753,i_0_768,i_0_799,i_0_801,i_0_829,i_0_862]) ).
cnf(i_0_1245,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_1246,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2 ),
inference(rename_variables,[],[i_0_862]) ).
cnf(i_0_1247,plain,
~ c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_1210,i_0_1231,i_0_1236,i_0_1241,i_0_939,i_0_1185,i_0_1187,i_0_1219,i_0_1225,i_0_967,i_0_1138,i_0_1204,i_0_782,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_1121,i_0_1216,i_0_935,i_0_936,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689,i_0_693,i_0_710,i_0_752,i_0_753,i_0_768,i_0_799,i_0_801,i_0_829,i_0_862,i_0_864]) ).
cnf(i_0_1248,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
inference(rename_variables,[],[i_0_831]) ).
cnf(i_0_1249,plain,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_864]) ).
cnf(i_0_1250,plain,
~ class_OrderedGroup_Oab__group__add(tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_1210,i_0_1231,i_0_1236,i_0_1241,i_0_939,i_0_1185,i_0_1187,i_0_1219,i_0_1225,i_0_967,i_0_1138,i_0_1204,i_0_782,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_1121,i_0_1216,i_0_935,i_0_936,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_631,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689,i_0_693,i_0_710,i_0_752,i_0_753,i_0_768,i_0_799,i_0_801,i_0_829,i_0_862,i_0_864,i_0_878]) ).
cnf(i_0_1251,plain,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
inference(rename_variables,[],[i_0_631]) ).
cnf(i_0_1252,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
inference(rename_variables,[],[i_0_937]) ).
cnf(i_0_1253,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| X1 = X2
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(rename_variables,[],[i_0_878]) ).
cnf(i_0_1254,plain,
c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(v_U,X1,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_1210,i_0_1231,i_0_1236,i_0_1241,i_0_939,i_0_1185,i_0_1187,i_0_1219,i_0_1225,i_0_967,i_0_1138,i_0_1204,i_0_782,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_1121,i_0_1216,i_0_935,i_0_936,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_631,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689,i_0_693,i_0_710,i_0_752,i_0_753,i_0_768,i_0_799,i_0_801,i_0_829,i_0_862,i_0_864,i_0_878,i_0_906]) ).
cnf(i_0_1255,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_845]) ).
cnf(i_0_1256,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Finite__Set_Ofinite(X2,X3)
| c_Finite__Set_Ofinite(X1,X3) ),
inference(rename_variables,[],[i_0_906]) ).
cnf(i_0_1257,plain,
~ class_OrderedGroup_Opordered__ab__group__add(tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_1210,i_0_1231,i_0_1236,i_0_1241,i_0_939,i_0_1185,i_0_1187,i_0_1219,i_0_1225,i_0_967,i_0_1138,i_0_1204,i_0_1213,i_0_782,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_1121,i_0_1216,i_0_935,i_0_936,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_631,i_0_1251,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689,i_0_693,i_0_710,i_0_752,i_0_753,i_0_768,i_0_799,i_0_801,i_0_829,i_0_862,i_0_864,i_0_878,i_0_906,i_0_755]) ).
cnf(i_0_1258,plain,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
inference(rename_variables,[],[i_0_631]) ).
cnf(i_0_1259,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_967]) ).
cnf(i_0_1260,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X5,X4,X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_755]) ).
cnf(i_0_1261,plain,
c_lessequals(c_Set_Oinsert(v_pn,v_U,tc_Com_Opname),v_U,tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_1210,i_0_1231,i_0_1236,i_0_1241,i_0_1245,i_0_939,i_0_1185,i_0_1187,i_0_1219,i_0_1225,i_0_967,i_0_1138,i_0_1204,i_0_1213,i_0_782,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_1121,i_0_1216,i_0_935,i_0_936,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_631,i_0_1251,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689,i_0_693,i_0_710,i_0_752,i_0_753,i_0_768,i_0_799,i_0_801,i_0_829,i_0_862,i_0_864,i_0_878,i_0_906,i_0_755,i_0_783]) ).
cnf(i_0_1262,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_1263,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_fun(X3,X4))
| c_lessequals(X2,X1,tc_fun(X3,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(rename_variables,[],[i_0_783]) ).
cnf(i_0_1264,plain,
c_Fun_Oinj__on(X1,c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X2),X2,X2),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_1210,i_0_1231,i_0_1236,i_0_1241,i_0_1245,i_0_939,i_0_1185,i_0_1187,i_0_1219,i_0_1225,i_0_967,i_0_1138,i_0_1204,i_0_1213,i_0_782,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_1121,i_0_1216,i_0_935,i_0_936,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_631,i_0_1251,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689,i_0_693,i_0_710,i_0_752,i_0_753,i_0_768,i_0_799,i_0_801,i_0_829,i_0_862,i_0_864,i_0_878,i_0_906,i_0_755,i_0_783,i_0_526]) ).
cnf(i_0_1265,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
inference(rename_variables,[],[i_0_893]) ).
cnf(i_0_1266,plain,
c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
inference(rename_variables,[],[i_0_782]) ).
cnf(i_0_1267,plain,
c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
inference(rename_variables,[],[i_0_782]) ).
cnf(i_0_1268,plain,
( c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4)
| c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| ~ c_Fun_Oinj__on(X2,X1,X4,X4) ),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_1269,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_bool)),X1,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_bool)),X1,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_bool)),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_1210,i_0_1231,i_0_1236,i_0_1241,i_0_1245,i_0_939,i_0_1185,i_0_1187,i_0_1219,i_0_1225,i_0_967,i_0_1138,i_0_1204,i_0_1213,i_0_782,i_0_893,i_0_1132,i_0_845,i_0_1118,i_0_1121,i_0_1216,i_0_935,i_0_936,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_631,i_0_1251,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689,i_0_693,i_0_710,i_0_752,i_0_753,i_0_768,i_0_799,i_0_801,i_0_829,i_0_862,i_0_864,i_0_878,i_0_906,i_0_755,i_0_783,i_0_526,i_0_527]) ).
cnf(i_0_1270,plain,
( c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X1,X2,X3,X4,X5),X1,X4)
| c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| ~ c_Fun_Oinj__on(X2,X1,X4,X4) ),
inference(rename_variables,[],[i_0_527]) ).
cnf(i_0_1271,plain,
~ c_HOL_Oord__class_Oless(v_U,c_Set_Oinsert(v_pn,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_1210,i_0_1231,i_0_1236,i_0_1241,i_0_1245,i_0_939,i_0_1185,i_0_1187,i_0_1219,i_0_1225,i_0_967,i_0_1138,i_0_1204,i_0_1213,i_0_782,i_0_893,i_0_1132,i_0_1265,i_0_845,i_0_1118,i_0_1121,i_0_1216,i_0_859,i_0_935,i_0_936,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_631,i_0_1251,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689,i_0_693,i_0_710,i_0_752,i_0_753,i_0_768,i_0_799,i_0_801,i_0_829,i_0_862,i_0_864,i_0_878,i_0_906,i_0_755,i_0_783,i_0_526,i_0_527,i_0_604]) ).
cnf(i_0_1272,plain,
~ c_HOL_Oord__class_Oless(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_859]) ).
cnf(i_0_1273,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
inference(rename_variables,[],[i_0_893]) ).
cnf(i_0_1274,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_HOL_Oord__class_Oless(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| c_in(X2,X4,X3)
| ~ c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_604]) ).
cnf(i_0_1275,plain,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_1210,i_0_1231,i_0_1236,i_0_1241,i_0_1245,i_0_939,i_0_1185,i_0_1187,i_0_1219,i_0_1225,i_0_967,i_0_1138,i_0_1204,i_0_1213,i_0_782,i_0_893,i_0_1132,i_0_1265,i_0_845,i_0_1118,i_0_1121,i_0_1216,i_0_859,i_0_935,i_0_936,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_631,i_0_1251,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689,i_0_693,i_0_710,i_0_752,i_0_753,i_0_768,i_0_799,i_0_801,i_0_829,i_0_862,i_0_864,i_0_878,i_0_906,i_0_755,i_0_783,i_0_526,i_0_527,i_0_604,i_0_1017]) ).
cnf(i_0_1276,plain,
$false,
inference(scs_inference,[],[i_0_583,i_0_983,i_0_996,i_0_832,i_0_904,i_0_872,i_0_1153,i_0_1207,i_0_1210,i_0_1231,i_0_1236,i_0_1241,i_0_1245,i_0_939,i_0_1185,i_0_1187,i_0_1219,i_0_1225,i_0_967,i_0_1138,i_0_1204,i_0_1213,i_0_782,i_0_893,i_0_1132,i_0_1265,i_0_845,i_0_1118,i_0_1121,i_0_1216,i_0_859,i_0_935,i_0_936,i_0_999,i_0_1006,i_0_1007,i_0_1010,i_0_1012,i_0_1013,i_0_849,i_0_586,i_0_1183,i_0_1189,i_0_1191,i_0_1193,i_0_1195,i_0_643,i_0_631,i_0_1251,i_0_937,i_0_938,i_0_747,i_0_831,i_0_1145,i_0_857,i_0_1135,i_0_653,i_0_654,i_0_717,i_0_865,i_0_1015,i_0_516,i_0_555,i_0_561,i_0_563,i_0_590,i_0_591,i_0_594,i_0_647,i_0_727,i_0_728,i_0_844,i_0_951,i_0_958,i_0_964,i_0_977,i_0_978,i_0_995,i_0_709,i_0_760,i_0_762,i_0_770,i_0_772,i_0_852,i_0_1016,i_0_1061,i_0_1062,i_0_1063,i_0_1080,i_0_1086,i_0_1087,i_0_1088,i_0_1097,i_0_1098,i_0_1099,i_0_1100,i_0_530,i_0_581,i_0_606,i_0_619,i_0_638,i_0_689,i_0_693,i_0_710,i_0_752,i_0_753,i_0_768,i_0_799,i_0_801,i_0_829,i_0_862,i_0_864,i_0_878,i_0_906,i_0_755,i_0_783,i_0_526,i_0_527,i_0_604,i_0_1017,i_0_651]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV880-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n004.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 06:06:03 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.99/2.67 % Version : CSE_E---1.7
% 1.99/2.67 % Problem : theBenchmark.p
% 1.99/2.67 % SZS status Unsatisfiable for theBenchmark.p
% 1.99/2.67 % SZS output start CNFRefutation
% See solution above
% 2.93/3.68 % Total time : 2.325s
%------------------------------------------------------------------------------