TSTP Solution File: SCT071-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SCT071-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 : Thu Aug 31 14:10:57 EDT 2023
% Result : Unsatisfiable 1.02s 1.11s
% Output : CNFRefutation 1.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 108
% Syntax : Number of formulae : 134 ( 14 unt; 96 typ; 0 def)
% Number of atoms : 66 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 35 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 200 ( 90 >; 110 *; 0 +; 0 <<)
% Number of predicates : 48 ( 46 usr; 2 prp; 0-5 aty)
% Number of functors : 50 ( 50 usr; 5 con; 0-5 aty)
% Number of variables : 95 ( 14 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Suc: $i > $i ).
tff(decl_23,type,
tc_nat: $i ).
tff(decl_24,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
tc_bool: $i ).
tff(decl_27,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_28,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_29,type,
c_Hilbert__Choice_Oinv__into: ( $i * $i * $i * $i ) > $i ).
tff(decl_30,type,
c_Fun_Ocomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_31,type,
c_Fun_Oid: $i > $i ).
tff(decl_32,type,
c_Fun_Osurj: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_34,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_37,type,
t_a: $i ).
tff(decl_38,type,
v_x: $i ).
tff(decl_39,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_40,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_41,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
c_in: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
hBOOL: $i > $o ).
tff(decl_45,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_46,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_47,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_48,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_49,type,
c_HOL_Ouminus__class_Ouminus: $i > $i ).
tff(decl_50,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_51,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_52,type,
c_SetInterval_Oord__class_OatLeastLessThan: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_54,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_55,type,
c_Nat_Osemiring__1__class_Oof__nat: ( $i * $i ) > $i ).
tff(decl_56,type,
class_Orderings_Obot: $i > $o ).
tff(decl_57,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_58,type,
c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
class_OrderedGroup_Oordered__ab__group__add: $i > $o ).
tff(decl_60,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(decl_61,type,
c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
c_Fun_Obij: ( $i * $i * $i ) > $o ).
tff(decl_63,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
class_Ring__and__Field_Osemiring__0: $i > $o ).
tff(decl_65,type,
class_Power_Opower: $i > $o ).
tff(decl_66,type,
c_Typedef_Otype__definition: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_67,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_68,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).
tff(decl_69,type,
class_HOL_Oord: $i > $o ).
tff(decl_70,type,
c_SetInterval_Oord__class_OlessThan: ( $i * $i ) > $i ).
tff(decl_71,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_72,type,
c_Finite__Set_Osetsum: ( $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_74,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_75,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_76,type,
c_Finite__Set_Ocard: ( $i * $i ) > $i ).
tff(decl_77,type,
c_FuncSet_Orestrict: ( $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
c_Fun_Obij__betw: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_79,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
c_COMBI: $i > $i ).
tff(decl_81,type,
c_Fun_Othe__inv__into: ( $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
c_List_Omap: ( $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_84,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_85,type,
c_List_Osko__List__Xex__nat__less__eq__1__2: ( $i * $i ) > $i ).
tff(decl_86,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(decl_87,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_88,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_89,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_90,type,
class_HOL_Ominus: $i > $o ).
tff(decl_91,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_92,type,
c_List_Osko__List__Xall__nat__less__eq__1__1: ( $i * $i ) > $i ).
tff(decl_93,type,
class_HOL_Ouminus: $i > $o ).
tff(decl_94,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_95,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_96,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_97,type,
class_Ring__and__Field_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_98,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_99,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_100,type,
class_Orderings_Otop: $i > $o ).
tff(decl_101,type,
c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
c_List_OremoveAll: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_106,type,
c_ATP__Linkup_Osko__Fun__XinjI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
c_ATP__Linkup_Osko__Fun__XinjI__1__2: ( $i * $i * $i ) > $i ).
tff(decl_108,type,
c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2: ( $i * $i * $i ) > $i ).
tff(decl_110,type,
c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1: ( $i * $i ) > $i ).
tff(decl_111,type,
c_List_Osko__SetInterval__Xex__bij__betw__nat__finite__1__1: ( $i * $i ) > $i ).
tff(decl_112,type,
c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_113,type,
c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_114,type,
tc_Arrow__Order__Mirabelle_Oindi: $i ).
tff(decl_115,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_116,type,
v_thesis____: $o ).
tff(decl_117,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_that_0,axiom,
( v_thesis____
| c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_atLeast0LessThan_0,axiom,
c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = c_SetInterval_Oord__class_OlessThan(X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_atLeast0LessThan_0) ).
cnf(cls_bij__betw__def_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Obij__betw(X1,X2,X5,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bij__betw__def_0) ).
cnf(cls_bij__betw__inv__into_0,axiom,
( c_Fun_Obij__betw(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X1,X4,X3)
| ~ c_Fun_Obij__betw(X2,X1,X5,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bij__betw__inv__into_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(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(cls_bij__betw__def_1,axiom,
( c_Set_Oimage(X1,X2,X3,X4) = X5
| ~ c_Fun_Obij__betw(X1,X2,X5,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bij__betw__def_1) ).
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_inj__on__inverseI_1,axiom,
( c_Fun_Oinj__on(X2,X3,X4,X5)
| hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X3,X2,X1,X4,X5))) != c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X3,X2,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__inverseI_1) ).
cnf(cls_double__complement_0,axiom,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__complement_0) ).
cnf(cls_ex__bij__betw__nat__finite_0,axiom,
( c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__nat__finite__1__1(X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat),X1,tc_nat,X2)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ex__bij__betw__nat__finite_0) ).
cnf(c_0_12,axiom,
( v_thesis____
| c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) ),
cls_that_0 ).
cnf(c_0_13,negated_conjecture,
~ v_thesis____,
cls_conjecture_0 ).
cnf(c_0_14,plain,
( c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) ),
inference(sr,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,axiom,
c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = c_SetInterval_Oord__class_OlessThan(X1,tc_nat),
cls_atLeast0LessThan_0 ).
cnf(c_0_16,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Obij__betw(X1,X2,X5,X3,X4) ),
cls_bij__betw__def_0 ).
cnf(c_0_17,axiom,
( c_Fun_Obij__betw(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X1,X4,X3)
| ~ c_Fun_Obij__betw(X2,X1,X5,X3,X4) ),
cls_bij__betw__inv__into_0 ).
cnf(c_0_18,axiom,
( c_Finite__Set_Ofinite(X2,X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
cls_finite_0 ).
cnf(c_0_19,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
clsarity_bool__Finite__Set_Ofinite_Ofinite ).
cnf(c_0_20,plain,
( c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) ),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,plain,
( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X4,X3)
| ~ c_Fun_Obij__betw(X2,X1,X5,X3,X4) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,axiom,
( c_Set_Oimage(X1,X2,X3,X4) = X5
| ~ c_Fun_Obij__betw(X1,X2,X5,X3,X4) ),
cls_bij__betw__def_1 ).
cnf(c_0_23,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 ).
cnf(c_0_24,plain,
c_Finite__Set_Ofinite(X1,tc_bool),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,axiom,
( c_Fun_Oinj__on(X2,X3,X4,X5)
| hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X3,X2,X1,X4,X5))) != c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X3,X2,X1,X4,X5) ),
cls_inj__on__inverseI_1 ).
cnf(c_0_26,axiom,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2)) = X2,
cls_double__complement_0 ).
cnf(c_0_27,plain,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X1,X2,tc_nat,tc_Arrow__Order__Mirabelle_Oindi),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)
| ~ c_Fun_Obij__betw(X2,X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_nat,tc_Arrow__Order__Mirabelle_Oindi) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,plain,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X4,X3) = X1
| ~ c_Fun_Obij__betw(X2,X1,X5,X3,X4) ),
inference(spm,[status(thm)],[c_0_22,c_0_17]) ).
cnf(c_0_29,axiom,
( c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__nat__finite__1__1(X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat),X1,tc_nat,X2)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
cls_ex__bij__betw__nat__finite_0 ).
cnf(c_0_30,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X3,X1,X2,tc_bool) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,plain,
c_Fun_Oinj__on(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2,X3,X4),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,plain,
( X1 != c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)
| ~ c_Fun_Obij__betw(X2,X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_nat,tc_Arrow__Order__Mirabelle_Oindi) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
( c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__nat__finite__1__1(X1,X2),c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(X1,X2),tc_nat),X1,tc_nat,X2)
| ~ c_Finite__Set_Ofinite(X1,X2) ),
inference(rw,[status(thm)],[c_0_29,c_0_15]) ).
cnf(c_0_34,plain,
c_Finite__Set_Ofinite(X1,X2),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,plain,
~ c_Fun_Obij__betw(X1,c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_nat,tc_Arrow__Order__Mirabelle_Oindi),
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_36,plain,
c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__nat__finite__1__1(X1,X2),c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(X1,X2),tc_nat),X1,tc_nat,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).
cnf(c_0_37,plain,
$false,
inference(spm,[status(thm)],[c_0_35,c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SCT071-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Thu Aug 24 15:20:27 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.14/0.46 start to proof: theBenchmark
% 1.02/1.11 % Version : CSE_E---1.5
% 1.02/1.11 % Problem : theBenchmark.p
% 1.02/1.11 % Proof found
% 1.02/1.11 % SZS status Theorem for theBenchmark.p
% 1.02/1.11 % SZS output start Proof
% See solution above
% 1.02/1.11 % Total time : 0.617000 s
% 1.02/1.11 % SZS output end Proof
% 1.02/1.11 % Total time : 0.638000 s
%------------------------------------------------------------------------------