TSTP Solution File: SWV921-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV921-1 : 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 : n014.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 21:48:39 EDT 2023

% Result   : Unsatisfiable 0.94s 1.07s
% Output   : CNFRefutation 0.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  138
% Syntax   : Number of formulae    :  148 (   9 unt; 133 typ;   0 def)
%            Number of atoms       :   23 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  354 ( 111   >; 243   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-6 aty)
%            Number of functors    :  114 ( 114 usr;  22 con; 0-6 aty)
%            Number of variables   :   28 (   7 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    c_Expr_Oexp_OLAss: ( $i * $i * $i ) > $i ).

tff(decl_23,type,
    c_Expr_Oexp_OBinOp: ( $i * $i * $i * $i ) > $i ).

tff(decl_24,type,
    c_Expr_Oexp_OFAcc: ( $i * $i * $i * $i ) > $i ).

tff(decl_25,type,
    c_Expr_Oexp_OCall: ( $i * $i * $i * $i ) > $i ).

tff(decl_26,type,
    tc_String_Ochar: $i ).

tff(decl_27,type,
    tc_List_Olist: $i > $i ).

tff(decl_28,type,
    c_Expr_Oexp_Othrow: ( $i * $i ) > $i ).

tff(decl_29,type,
    c_Expr_Oexp_OCond: ( $i * $i * $i * $i ) > $i ).

tff(decl_30,type,
    c_SmallStep_Oredp: ( $i * $i * $i * $i * $i ) > $o ).

tff(decl_31,type,
    c_Expr_Oexp_OSeq: ( $i * $i * $i ) > $i ).

tff(decl_32,type,
    c_Set_Oinsert: ( $i * $i * $i ) > $i ).

tff(decl_33,type,
    tc_bool: $i ).

tff(decl_34,type,
    tc_fun: ( $i * $i ) > $i ).

tff(decl_35,type,
    c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).

tff(decl_36,type,
    c_Orderings_Obot__class_Obot: $i > $i ).

tff(decl_37,type,
    c_Expr_Oexp_OCast: ( $i * $i * $i ) > $i ).

tff(decl_38,type,
    c_in: ( $i * $i * $i ) > $i ).

tff(decl_39,type,
    hBOOL: $i > $o ).

tff(decl_40,type,
    c_BigStep_Oeval: ( $i * $i * $i * $i * $i ) > $o ).

tff(decl_41,type,
    c_Expr_Oexp_OFAss: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_42,type,
    c_Expr_Oexp_OTryCatch: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_43,type,
    c_Expr_Oexp_OWhile: ( $i * $i * $i ) > $i ).

tff(decl_44,type,
    c_Expr_Oexp_OVal: ( $i * $i ) > $i ).

tff(decl_45,type,
    c_Expr_Oexp_OBlock: ( $i * $i * $i * $i ) > $i ).

tff(decl_46,type,
    c_Value_Oval_OUnit: $i ).

tff(decl_47,type,
    c_Expr_Oexp_OVar: ( $i * $i ) > $i ).

tff(decl_48,type,
    hAPP: ( $i * $i ) > $i ).

tff(decl_49,type,
    tc_Value_Oval: $i ).

tff(decl_50,type,
    c_Option_Ooption_OSome: $i > $i ).

tff(decl_51,type,
    tc_nat: $i ).

tff(decl_52,type,
    tc_prod: ( $i * $i ) > $i ).

tff(decl_53,type,
    tc_Option_Ooption: $i > $i ).

tff(decl_54,type,
    c_Pair: ( $i * $i ) > $i ).

tff(decl_55,type,
    c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_56,type,
    c_WellTypeRT_OWTrt: ( $i * $i * $i * $i * $i ) > $o ).

tff(decl_57,type,
    c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).

tff(decl_58,type,
    c_Option_Ooption_ONone: $i > $i ).

tff(decl_59,type,
    c_Map_Odom: ( $i * $i * $i ) > $i ).

tff(decl_60,type,
    c_Value_Oval_OAddr: $i > $i ).

tff(decl_61,type,
    class_OrderedGroup_Oab__group__add: $i > $o ).

tff(decl_62,type,
    tc_Expr_Oexp: $i > $i ).

tff(decl_63,type,
    c_SmallStep_Ored: $i > $i ).

tff(decl_64,type,
    c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).

tff(decl_65,type,
    c_Orderings_Otop__class_Otop: $i > $i ).

tff(decl_66,type,
    class_HOL_Ominus: $i > $o ).

tff(decl_67,type,
    t_a: $i ).

tff(decl_68,type,
    v_x: $i ).

tff(decl_69,type,
    c_Map_Orestrict__map: ( $i * $i * $i * $i ) > $i ).

tff(decl_70,type,
    c_State_Olcl: ( $i * $i ) > $i ).

tff(decl_71,type,
    c_Map_Omap__add: ( $i * $i * $i * $i ) > $i ).

tff(decl_72,type,
    c_List_Ozip: ( $i * $i * $i * $i ) > $i ).

tff(decl_73,type,
    c_Map_Omap__of: ( $i * $i * $i ) > $i ).

tff(decl_74,type,
    c_Nat_Osize__class_Osize: ( $i * $i ) > $i ).

tff(decl_75,type,
    c_List_Oset: ( $i * $i ) > $i ).

tff(decl_76,type,
    c_Transitive__Closure_Ortrancl: ( $i * $i ) > $i ).

tff(decl_77,type,
    class_OrderedGroup_Ocomm__monoid__add: $i > $o ).

tff(decl_78,type,
    c_Finite__Set_Osetsum: ( $i * $i * $i * $i ) > $i ).

tff(decl_79,type,
    c_Fun_Oid: $i > $i ).

tff(decl_80,type,
    c_ATP__Linkup_Osko__Option__Xoption__Xcase__cong__1__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_81,type,
    c_Option_Ooption_Ooption__case: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_82,type,
    c_COMBK: ( $i * $i * $i ) > $i ).

tff(decl_83,type,
    c_Hilbert__Choice_Oinv__into: ( $i * $i * $i * $i ) > $i ).

tff(decl_84,type,
    c_Fun_Ocomp: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_85,type,
    c_List_Ofilter: ( $i * $i * $i ) > $i ).

tff(decl_86,type,
    c_List_Olist_OCons: ( $i * $i * $i ) > $i ).

tff(decl_87,type,
    c_Objects_Ohext: ( $i * $i ) > $o ).

tff(decl_88,type,
    class_Orderings_Obot: $i > $o ).

tff(decl_89,type,
    c_Option_Oset: ( $i * $i ) > $i ).

tff(decl_90,type,
    c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_91,type,
    c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_92,type,
    c_Fun_Othe__inv__into: ( $i * $i * $i * $i ) > $i ).

tff(decl_93,type,
    t_b: $i ).

tff(decl_94,type,
    v_sko__Option__Xoption__Xsplit__1: ( $i * $i * $i ) > $i ).

tff(decl_95,type,
    c_Fun_Ooverride__on: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_96,type,
    c_Map_Osko__Map__Xdom__eq__singleton__conv__1__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_97,type,
    c_Conform_Ohconf: ( $i * $i * $i ) > $o ).

tff(decl_98,type,
    v_sko__Option__Xoption__Xsplit__asm__1: ( $i * $i * $i ) > $i ).

tff(decl_99,type,
    class_Orderings_Otop: $i > $o ).

tff(decl_100,type,
    class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).

tff(decl_101,type,
    c_Finite__Set_Osetprod: ( $i * $i * $i * $i ) > $i ).

tff(decl_102,type,
    c_Map_Oran: ( $i * $i * $i ) > $i ).

tff(decl_103,type,
    c_State_Ohp: ( $i * $i ) > $i ).

tff(decl_104,type,
    c_Map_Omap__upds: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_105,type,
    c_Map_Omap__le: ( $i * $i * $i * $i ) > $o ).

tff(decl_106,type,
    tc_Type_Oty: $i ).

tff(decl_107,type,
    c_Product__Type_Oscomp: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_108,type,
    c_split: ( $i * $i * $i ) > $i ).

tff(decl_109,type,
    c_Objects_Otypeof__h: ( $i * $i ) > $i ).

tff(decl_110,type,
    c_Conform_Oconf: ( $i * $i * $i * $i * $i ) > $o ).

tff(decl_111,type,
    c_Map_Omap__comp: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_112,type,
    c_Map_Osko__Map__Xmap__comp__None__iff__1__1: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_113,type,
    c_Fun_Oswap: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_114,type,
    c_Exceptions_Opreallocated: $i > $o ).

tff(decl_115,type,
    c_Conform_Ooconf: ( $i * $i * $i * $i ) > $o ).

tff(decl_116,type,
    c_curry: ( $i * $i * $i * $i ) > $i ).

tff(decl_117,type,
    c_Product__Type_Oapsnd: ( $i * $i * $i ) > $i ).

tff(decl_118,type,
    c_Product__Type_Oapfst: ( $i * $i * $i * $i ) > $i ).

tff(decl_119,type,
    c_fst: ( $i * $i * $i ) > $i ).

tff(decl_120,type,
    c_snd: ( $i * $i * $i ) > $i ).

tff(decl_121,type,
    c_Option_Ois__none: ( $i * $i ) > $i ).

tff(decl_122,type,
    c_Option_Omap: ( $i * $i * $i ) > $i ).

tff(decl_123,type,
    c_Conform_Olconf: ( $i * $i * $i * $i * $i ) > $o ).

tff(decl_124,type,
    c_ATP__Linkup_Osko__Option__Xospec__1__1: ( $i * $i * $i ) > $i ).

tff(decl_125,type,
    c_Conform_Osko__Conform__Xhconf__def__1__2: ( $i * $i * $i ) > $i ).

tff(decl_126,type,
    v_xa: $i ).

tff(decl_127,type,
    c_fequal: ( $i * $i * $i ) > $i ).

tff(decl_128,type,
    c_Product__Type_Oprod__fun: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_129,type,
    c_Option_Ooption_Ooption__rec: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_130,type,
    c_COMBI: $i > $i ).

tff(decl_131,type,
    c_Product__Type_Oprod_Oprod__case: ( $i * $i * $i ) > $i ).

tff(decl_132,type,
    c_Product__Type_Ointernal__split: ( $i * $i * $i ) > $i ).

tff(decl_133,type,
    c_Conform_Osko__Conform__Xlconf__def__1__2: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_134,type,
    c_Conform_Osko__Conform__Xlconf__def__1__3: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_135,type,
    t_c: $i ).

tff(decl_136,type,
    c_ATP__Linkup_Osko__Product__Type__Xsplit__paired__All__1__1: ( $i * $i * $i ) > $i ).

tff(decl_137,type,
    c_ATP__Linkup_Osko__Product__Type__Xsplit__paired__Ex__1__3: ( $i * $i * $i ) > $i ).

tff(decl_138,type,
    c_Product__Type_Oprod_Oprod__rec: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_139,type,
    c_Option_Othe: ( $i * $i ) > $i ).

tff(decl_140,type,
    c_Objects_Osko__Objects__Xhext__def__1__1: ( $i * $i * $i ) > $i ).

tff(decl_141,type,
    c_Objects_Osko__Objects__Xhext__objD__1__1: ( $i * $i * $i ) > $i ).

tff(decl_142,type,
    v_P: $i ).

tff(decl_143,type,
    c_Conform_Osko__Conform__Xlconf__def__1__1: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_144,type,
    c_TypeRel_Ohas__field: ( $i * $i * $i * $i * $i * $i ) > $o ).

tff(decl_145,type,
    v_ha______: $i ).

tff(decl_146,type,
    v_E____: $i ).

tff(decl_147,type,
    v_a______: $i ).

tff(decl_148,type,
    v_F______: $i ).

tff(decl_149,type,
    v_D______: $i ).

tff(decl_150,type,
    v_v______: $i ).

tff(decl_151,type,
    v_T____: $i ).

tff(decl_152,type,
    v_C______: $i ).

tff(decl_153,type,
    v_fs______: $i ).

tff(decl_154,type,
    v_la______: $i ).

cnf(cls_hext__upd__obj_0,axiom,
    ( c_Objects_Ohext(X1,c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))),X3),X5)),tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))))
    | hAPP(X1,X2) != hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))),X3),X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hext__upd__obj_0) ).

cnf(cls_RedFAss_Ohyps_0,axiom,
    hAPP(v_ha______,v_a______) = hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))),v_C______),v_fs______)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_RedFAss_Ohyps_0) ).

cnf(cls_lconf__hext_0,axiom,
    ( c_Conform_Olconf(X1,X2,X3,X4,X5)
    | ~ c_Objects_Ohext(X6,X2)
    | ~ c_Conform_Olconf(X1,X6,X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lconf__hext_0) ).

cnf(cls_RedFAss_I3_J_0,axiom,
    c_Conform_Olconf(v_P,v_ha______,v_la______,v_E____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_RedFAss_I3_J_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_Conform_Olconf(v_P,c_Fun_Ofun__upd(v_ha______,v_a______,hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))),v_C______),c_Fun_Ofun__upd(v_fs______,hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),v_F______),v_D______),hAPP(c_Option_Ooption_OSome(tc_Value_Oval),v_v______),tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),v_la______,v_E____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_0_5,axiom,
    ( c_Objects_Ohext(X1,c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))),X3),X5)),tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))))
    | hAPP(X1,X2) != hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))),X3),X4)) ),
    cls_hext__upd__obj_0 ).

cnf(c_0_6,axiom,
    hAPP(v_ha______,v_a______) = hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))),v_C______),v_fs______)),
    cls_RedFAss_Ohyps_0 ).

cnf(c_0_7,axiom,
    ( c_Conform_Olconf(X1,X2,X3,X4,X5)
    | ~ c_Objects_Ohext(X6,X2)
    | ~ c_Conform_Olconf(X1,X6,X3,X4,X5) ),
    cls_lconf__hext_0 ).

cnf(c_0_8,axiom,
    c_Conform_Olconf(v_P,v_ha______,v_la______,v_E____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
    cls_RedFAss_I3_J_0 ).

cnf(c_0_9,plain,
    ( c_Objects_Ohext(X1,c_Fun_Ofun__upd(X1,X2,hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))),v_C______),X3)),tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))))
    | hAPP(X1,X2) != hAPP(v_ha______,v_a______) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_10,plain,
    ( c_Conform_Olconf(v_P,X1,v_la______,v_E____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_Objects_Ohext(v_ha______,X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,plain,
    c_Objects_Ohext(v_ha______,c_Fun_Ofun__upd(v_ha______,v_a______,hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))),v_C______),X1)),tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))))),
    inference(er,[status(thm)],[c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ~ c_Conform_Olconf(v_P,c_Fun_Ofun__upd(v_ha______,v_a______,hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))),v_C______),c_Fun_Ofun__upd(v_fs______,hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),v_F______),v_D______),hAPP(c_Option_Ooption_OSome(tc_Value_Oval),v_v______),tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),v_la______,v_E____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
    cls_conjecture_0 ).

cnf(c_0_13,plain,
    c_Conform_Olconf(v_P,c_Fun_Ofun__upd(v_ha______,v_a______,hAPP(c_Option_Ooption_OSome(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),hAPP(hAPP(c_Pair(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))),v_C______),X1)),tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),v_la______,v_E____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWV921-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 29 10:00:15 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.19/0.59  start to proof: theBenchmark
% 0.94/1.07  % Version  : CSE_E---1.5
% 0.94/1.07  % Problem  : theBenchmark.p
% 0.94/1.07  % Proof found
% 0.94/1.07  % SZS status Theorem for theBenchmark.p
% 0.94/1.07  % SZS output start Proof
% See solution above
% 0.94/1.08  % Total time : 0.424000 s
% 0.94/1.08  % SZS output end Proof
% 0.94/1.08  % Total time : 0.475000 s
%------------------------------------------------------------------------------