TSTP Solution File: LCL764-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL764-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n001.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 06:59:29 EDT 2023
% Result : Unsatisfiable 0.18s 0.59s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 111
% Syntax : Number of formulae : 114 ( 5 unt; 109 typ; 0 def)
% Number of atoms : 5 ( 0 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 : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 201 ( 103 >; 98 *; 0 +; 0 <<)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-5 aty)
% Number of functors : 95 ( 95 usr; 6 con; 0-5 aty)
% Number of variables : 4 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Suc: $i > $i ).
tff(decl_23,type,
c_List_Odrop: ( $i * $i * $i ) > $i ).
tff(decl_24,type,
c_List_Otl: ( $i * $i ) > $i ).
tff(decl_25,type,
c_List_Otake: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(decl_27,type,
c_List_Olist__update: ( $i * $i * $i * $i ) > $i ).
tff(decl_28,type,
c_List_Orotate: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
c_List_Orotate1: ( $i * $i ) > $i ).
tff(decl_30,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_31,type,
hBOOL: $i > $o ).
tff(decl_32,type,
v_sko__List__Xdrop__Xinduct__1: $i > $i ).
tff(decl_33,type,
v_sko__List__Xdrop__Xinduct__2: $i > $i ).
tff(decl_34,type,
t_a: $i ).
tff(decl_35,type,
c_List_Olist_ONil: $i > $i ).
tff(decl_36,type,
v_sko__List__Xrev__Xinduct__1: $i > $i ).
tff(decl_37,type,
v_sko__List__Xrev__Xinduct__2: $i > $i ).
tff(decl_38,type,
v_sko__List__Xfoldl__Xinduct__1: $i > $i ).
tff(decl_39,type,
v_sko__List__Xfoldl__Xinduct__2: $i > $i ).
tff(decl_40,type,
v_sko__List__Xconcat__Xinduct__1: $i > $i ).
tff(decl_41,type,
v_sko__List__Xconcat__Xinduct__2: $i > $i ).
tff(decl_42,type,
c_List_Ohd: ( $i * $i ) > $i ).
tff(decl_43,type,
c_List_Oappend: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
c_List_OdropWhile: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
v_sko__List__Xhd__Xinduct__1: $i > $i ).
tff(decl_46,type,
v_sko__List__Xhd__Xinduct__2: $i > $i ).
tff(decl_47,type,
v_sko__List__Xtake__Xinduct__1: $i > $i ).
tff(decl_48,type,
v_sko__List__Xtake__Xinduct__2: $i > $i ).
tff(decl_49,type,
v_sko__List__Xset__Xinduct__1: $i > $i ).
tff(decl_50,type,
v_sko__List__Xset__Xinduct__2: $i > $i ).
tff(decl_51,type,
v_sko__List__Xmap__Xinduct__1: $i > $i ).
tff(decl_52,type,
v_sko__List__Xmap__Xinduct__2: $i > $i ).
tff(decl_53,type,
v_sko__List__Xlist__Xinducts__1: $i > $i ).
tff(decl_54,type,
v_sko__List__Xlist__Xinducts__2: $i > $i ).
tff(decl_55,type,
v_sko__List__Xlist__Xinduct__1: $i > $i ).
tff(decl_56,type,
v_sko__List__Xlist__Xinduct__2: $i > $i ).
tff(decl_57,type,
v_sko__List__Xlist__update__Xinduct__1: $i > $i ).
tff(decl_58,type,
v_sko__List__Xlist__update__Xinduct__2: $i > $i ).
tff(decl_59,type,
v_sko__List__Xremdups__Xinduct__1: $i > $i ).
tff(decl_60,type,
v_sko__List__Xremdups__Xinduct__2: $i > $i ).
tff(decl_61,type,
v_sko__List__XremoveAll__Xinduct__1: $i > $i ).
tff(decl_62,type,
v_sko__List__XremoveAll__Xinduct__2: $i > $i ).
tff(decl_63,type,
v_sko__List__XtakeWhile__Xinduct__1: $i > $i ).
tff(decl_64,type,
v_sko__List__XtakeWhile__Xinduct__2: $i > $i ).
tff(decl_65,type,
v_sko__List__XdropWhile__Xinduct__1: $i > $i ).
tff(decl_66,type,
v_sko__List__XdropWhile__Xinduct__2: $i > $i ).
tff(decl_67,type,
v_sko__List__Xzip__Xinduct__1: $i > $i ).
tff(decl_68,type,
v_sko__List__Xzip__Xinduct__2: $i > $i ).
tff(decl_69,type,
v_sko__List__Xlistset__Xinduct__1: $i > $i ).
tff(decl_70,type,
v_sko__List__Xlistset__Xinduct__2: $i > $i ).
tff(decl_71,type,
v_sko__List__Xremove1__Xinduct__1: $i > $i ).
tff(decl_72,type,
v_sko__List__Xremove1__Xinduct__2: $i > $i ).
tff(decl_73,type,
v_sko__List__Xsplice__Xinduct__1: $i > $i ).
tff(decl_74,type,
v_sko__List__Xsplice__Xinduct__2: $i > $i ).
tff(decl_75,type,
v_sko__List__Xdistinct__Xinduct__1: $i > $i ).
tff(decl_76,type,
v_sko__List__Xdistinct__Xinduct__2: $i > $i ).
tff(decl_77,type,
v_sko__List__Xlistsum__Xinduct__1: $i > $i ).
tff(decl_78,type,
v_sko__List__Xlistsum__Xinduct__2: $i > $i ).
tff(decl_79,type,
v_sko__List__Xlast__Xinduct__1: $i > $i ).
tff(decl_80,type,
v_sko__List__Xlast__Xinduct__2: $i > $i ).
tff(decl_81,type,
v_sko__List__Xtl__Xinduct__1: $i > $i ).
tff(decl_82,type,
v_sko__List__Xtl__Xinduct__2: $i > $i ).
tff(decl_83,type,
c_List_Osplice: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
c_List_Osko__List__Xrev__induct__1__2: ( $i * $i ) > $i ).
tff(decl_85,type,
c_List_Osko__List__Xrev__induct__1__1: ( $i * $i ) > $i ).
tff(decl_86,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_87,type,
c_List_Olinorder__class_Osort__key: ( $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
c_List_Omap: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
c_List_Olinorder__class_Osorted: ( $i * $i ) > $o ).
tff(decl_90,type,
c_ListOrder_Ostep1: ( $i * $i * $i * $i ) > $o ).
tff(decl_91,type,
c_List_Orev: ( $i * $i ) > $i ).
tff(decl_92,type,
c_List_Ofilter: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
c_List_Oremdups: ( $i * $i ) > $i ).
tff(decl_94,type,
c_List_Olist__all2: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_95,type,
c_fequal: $i > $i ).
tff(decl_96,type,
c_List_Ofoldl: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
tc_bool: $i ).
tff(decl_98,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_99,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_101,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_102,type,
c_List_Odistinct: ( $i * $i ) > $o ).
tff(decl_103,type,
c_List_Olist_Olist__case: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
c_List_Oremove1: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
c_List_Olist__all: ( $i * $i * $i ) > $o ).
tff(decl_106,type,
v_sko__List__Xlistsp__Xinduct__1: ( $i * $i ) > $i ).
tff(decl_107,type,
v_sko__List__Xlistsp__Xinduct__2: ( $i * $i ) > $i ).
tff(decl_108,type,
c_List_Olistsp: ( $i * $i * $i ) > $o ).
tff(decl_109,type,
v_sko__List__Xlistsp__Xinducts__1: ( $i * $i ) > $i ).
tff(decl_110,type,
v_sko__List__Xlistsp__Xinducts__2: ( $i * $i ) > $i ).
tff(decl_111,type,
c_List_Onull: ( $i * $i ) > $o ).
tff(decl_112,type,
c_List_Oconcat__map: ( $i * $i * $i * $i ) > $i ).
tff(decl_113,type,
c_List_Ofoldr: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_114,type,
c_List_Olist__ex: ( $i * $i * $i ) > $o ).
tff(decl_115,type,
c_List_Olistrelp: ( $i * $i * $i * $i ) > $o ).
tff(decl_116,type,
c_Lambda_OdB_OAbs: $i > $i ).
tff(decl_117,type,
c_List_Osublist: ( $i * $i * $i ) > $i ).
tff(decl_118,type,
c_List_Omember: ( $i * $i * $i ) > $o ).
tff(decl_119,type,
v_sko__List__Xlistsp__Xcases__1: ( $i * $i ) > $i ).
tff(decl_120,type,
v_sko__List__Xlistsp__Xcases__2: ( $i * $i ) > $i ).
tff(decl_121,type,
c_List_Olist_Olist__rec: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_122,type,
t_b: $i ).
tff(decl_123,type,
c_List_Olist__inter: ( $i * $i * $i ) > $i ).
tff(decl_124,type,
c_List_Ofiltermap: ( $i * $i * $i * $i ) > $i ).
tff(decl_125,type,
c_Map_Omap__upds: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_126,type,
c_List_Osko__List__Xin__listsp__conv__set__1__1: ( $i * $i * $i ) > $i ).
tff(decl_127,type,
c_InductTermi_OIT: $i ).
tff(decl_128,type,
c_Lambda_Olift: ( $i * $i ) > $i ).
tff(decl_129,type,
tc_Lambda_OdB: $i ).
tff(decl_130,type,
tc_nat: $i ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_listsp_ONil_0,axiom,
c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_listsp_ONil_0) ).
cnf(c_0_2,negated_conjecture,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
cls_conjecture_0 ).
cnf(c_0_3,axiom,
c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2),
cls_listsp_ONil_0 ).
cnf(c_0_4,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2,c_0_3])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL764-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 24 23:34:12 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.56 start to proof: theBenchmark
% 0.18/0.59 % Version : CSE_E---1.5
% 0.18/0.59 % Problem : theBenchmark.p
% 0.18/0.59 % Proof found
% 0.18/0.59 % SZS status Theorem for theBenchmark.p
% 0.18/0.59 % SZS output start Proof
% See solution above
% 0.18/0.60 % Total time : 0.011000 s
% 0.18/0.60 % SZS output end Proof
% 0.18/0.60 % Total time : 0.021000 s
%------------------------------------------------------------------------------