TSTP Solution File: LCL830-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL830-1 : 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 : n012.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 06:59:51 EDT 2023
% Result : Unsatisfiable 115.66s 115.73s
% Output : CNFRefutation 115.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 104
% Syntax : Number of formulae : 111 ( 11 unt; 100 typ; 0 def)
% Number of atoms : 11 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 245 ( 80 >; 165 *; 0 +; 0 <<)
% Number of predicates : 29 ( 27 usr; 1 prp; 0-5 aty)
% Number of functors : 73 ( 73 usr; 20 con; 0-6 aty)
% Number of variables : 34 ( 9 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_List_Oreplicate: ( $i * $i * $i ) > $i ).
tff(decl_23,type,
c_List_Odrop: ( $i * $i * $i ) > $i ).
tff(decl_24,type,
tc_nat: $i ).
tff(decl_25,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
c_List_Orotate: ( $i * $i * $i ) > $i ).
tff(decl_27,type,
tc_List_Olist: $i > $i ).
tff(decl_28,type,
c_Nat_Osize__class_Osize: ( $i * $i ) > $i ).
tff(decl_29,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
c_List_Otake: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
c_List_OdropWhile: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
c_List_OtakeWhile: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
c_List_Olist__update: ( $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
c_Lambda_OdB_OApp: $i ).
tff(decl_36,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_37,type,
c_Type_Otyping: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
c_Type_Otype_OFun: ( $i * $i ) > $i ).
tff(decl_39,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_40,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
c_List_Olinorder__class_Osorted: ( $i * $i ) > $o ).
tff(decl_42,type,
c_List_Ofilter: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
c_List_Orev: ( $i * $i ) > $i ).
tff(decl_44,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_45,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_46,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_47,type,
hBOOL: $i > $o ).
tff(decl_48,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_49,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_50,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_52,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_53,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_54,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_55,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_56,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_57,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_58,type,
class_Int_Oring__char__0: $i > $o ).
tff(decl_59,type,
c_Int_Onumber__class_Onumber__of: ( $i * $i ) > $i ).
tff(decl_60,type,
c_List_Olist_ONil: $i > $i ).
tff(decl_61,type,
c_List_Oappend: ( $i * $i * $i ) > $i ).
tff(decl_62,type,
c_List_Odistinct: ( $i * $i ) > $o ).
tff(decl_63,type,
c_List_Omap__filter: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
c_List_Omap: ( $i * $i * $i * $i ) > $i ).
tff(decl_65,type,
c_List_Olist__all2: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_66,type,
c_Lambda_Olift: $i ).
tff(decl_67,type,
c_ListOrder_Ostep1: ( $i * $i * $i * $i ) > $o ).
tff(decl_68,type,
c_Lambda_OdB_OVar: $i > $i ).
tff(decl_69,type,
c_Fun_Ocomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_70,type,
c_Lambda_OdB_OAbs: $i > $i ).
tff(decl_71,type,
c_InductTermi_OIT: $i ).
tff(decl_72,type,
tc_Lambda_OdB: $i ).
tff(decl_73,type,
c_List_Ofoldl: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_74,type,
c_Lambda_Osubst: $i ).
tff(decl_75,type,
c_Type_Oshift: ( $i * $i * $i * $i ) > $i ).
tff(decl_76,type,
tc_bool: $i ).
tff(decl_77,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_78,type,
v_T____: $i ).
tff(decl_79,type,
tc_Type_Otype: $i ).
tff(decl_80,type,
c_Type_Osko__Type__Xvar__app__types__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
c_Type_Otypings: ( $i * $i * $i ) > $o ).
tff(decl_82,type,
c_Type_Osko__Type__Xvar__app__typesE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
v_ea______: $i ).
tff(decl_84,type,
v_ua______: $i ).
tff(decl_85,type,
c_Type_Osko__Type__Xlist__app__typeE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
c_Type_Osko__Type__Xlist__app__typeD__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
v_e____: $i ).
tff(decl_88,type,
v_u____: $i ).
tff(decl_89,type,
c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
c_Lambda_Obeta: ( $i * $i ) > $o ).
tff(decl_91,type,
c_List_Olist__all: ( $i * $i * $i ) > $o ).
tff(decl_92,type,
c_List_Olist__ex: ( $i * $i * $i ) > $o ).
tff(decl_93,type,
t_b: $i ).
tff(decl_94,type,
t_a: $i ).
tff(decl_95,type,
c_List_Olist_Olist__case: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
c_List_OremoveAll: ( $i * $i * $i ) > $i ).
tff(decl_97,type,
c_fequal: $i > $i ).
tff(decl_98,type,
c_List_Oremove1: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
c_List_Olistrelp: ( $i * $i * $i * $i ) > $o ).
tff(decl_100,type,
c_List_Olistsp: ( $i * $i * $i ) > $o ).
tff(decl_101,type,
c_List_OListMem: ( $i * $i * $i ) > $o ).
tff(decl_102,type,
c_List_Osko__List__Xmap__eq__Cons__conv__1__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
c_List_Osko__List__Xmap__eq__Cons__conv__1__2: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
c_List_Osko__List__XCons__eq__map__conv__1__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
c_List_Osko__List__XCons__eq__map__conv__1__2: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_106,type,
c_List_Osko__List__Xmap__eq__Cons__D__1__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_107,type,
c_List_Osko__List__Xmap__eq__Cons__D__1__2: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_108,type,
c_List_Osko__List__XCons__eq__map__D__1__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_109,type,
c_List_Osko__List__XCons__eq__map__D__1__2: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_110,type,
c_COMBC: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_111,type,
c_List_Osko__List__Xmap__idI__1__1: ( $i * $i * $i ) > $i ).
tff(decl_112,type,
c_List_Osko__List__Xmap__ext__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_113,type,
c_List_Osko__List__Xmap__cong__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_114,type,
c_List_Osko__List__Xmap__eq__conv__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_115,type,
c_List_Osko__List__Xin__listsp__conv__set__1__1: ( $i * $i * $i ) > $i ).
tff(decl_116,type,
v_a____: $i ).
tff(decl_117,type,
v_n____: $i ).
tff(decl_118,type,
v_i____: $i ).
tff(decl_119,type,
v_as____: $i ).
tff(decl_120,type,
tc_Int_Oint: $i ).
tff(decl_121,type,
c_COMBB: ( $i * $i * $i * $i * $i * $i ) > $i ).
cnf(cls_CHAINED_0,axiom,
c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_COMBC__def_0,axiom,
hAPP(c_COMBC(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBC__def_0) ).
cnf(cls_map__eq__Cons__conv_3,axiom,
c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5) = c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__eq__Cons__conv_3) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_4,axiom,
c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
cls_CHAINED_0 ).
cnf(c_0_5,axiom,
hAPP(c_COMBC(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),X2),
cls_COMBC__def_0 ).
cnf(c_0_6,axiom,
c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5) = c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5),
cls_map__eq__Cons__conv_3 ).
cnf(c_0_7,plain,
c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_COMBC(c_Lambda_Osubst,v_u____,X1,X2,X3),v_a____),v_i____),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,plain,
c_List_Omap(c_COMBC(X1,X2,X3,X4,X5),c_List_Olist_OCons(X6,X7,X8),X8,X9) = c_List_Olist_OCons(hAPP(hAPP(X1,X6),X2),c_List_Omap(c_COMBC(X1,X2,X3,X4,X5),X7,X8,X9),X9),
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_9,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
cls_conjecture_0 ).
cnf(c_0_10,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : LCL830-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.16 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 20:01:26 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.18/0.62 start to proof: theBenchmark
% 115.66/115.73 % Version : CSE_E---1.5
% 115.66/115.73 % Problem : theBenchmark.p
% 115.66/115.73 % Proof found
% 115.66/115.73 % SZS status Theorem for theBenchmark.p
% 115.66/115.73 % SZS output start Proof
% See solution above
% 115.66/115.74 % Total time : 115.093000 s
% 115.66/115.74 % SZS output end Proof
% 115.66/115.74 % Total time : 115.106000 s
%------------------------------------------------------------------------------