TSTP Solution File: SWV995-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV995-1 : 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 : n024.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 21:48:52 EDT 2023

% Result   : Unsatisfiable 0.77s 0.86s
% Output   : CNFRefutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :  112
% Syntax   : Number of formulae    :  119 (  11 unt; 106 typ;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :   10 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  282 (  91   >; 191   *;   0   +;   0  <<)
%            Number of predicates  :   26 (  25 usr;   1 prp; 0-5 aty)
%            Number of functors    :   81 (  81 usr;  15 con; 0-5 aty)
%            Number of variables   :   14 (   8 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    tc_String_Ochar: $i ).

tff(decl_23,type,
    tc_List_Olist: $i > $i ).

tff(decl_24,type,
    tc_Value_Oval: $i ).

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

tff(decl_26,type,
    c_Expr_Ofv: $i > $i ).

tff(decl_27,type,
    tc_bool: $i ).

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

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

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

tff(decl_31,type,
    tc_nat: $i ).

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

tff(decl_33,type,
    tc_Option_Ooption: $i > $i ).

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

tff(decl_35,type,
    tc_Expr_Oexp: $i > $i ).

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

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

tff(decl_38,type,
    class_Lattices_Oupper__semilattice: $i > $o ).

tff(decl_39,type,
    c_Expr_Oexp_OBinOp: ( $i * $i * $i * $i ) > $i ).

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

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

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

tff(decl_43,type,
    hBOOL: $i > $o ).

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

tff(decl_45,type,
    class_Lattices_Olattice: $i > $o ).

tff(decl_46,type,
    c_Expr_Oexp_OWhile: ( $i * $i * $i ) > $i ).

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

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

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

tff(decl_50,type,
    c_WellForm_Owf__prog: ( $i * $i * $i ) > $o ).

tff(decl_51,type,
    c_Expr_Oexp_OCast: ( $i * $i * $i ) > $i ).

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

tff(decl_53,type,
    c_Expr_Oexp_OFAcc: ( $i * $i * $i * $i ) > $i ).

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

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

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

tff(decl_57,type,
    c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1: ( $i * $i * $i ) > $i ).

tff(decl_58,type,
    c_Wellfounded_Oacc: ( $i * $i ) > $i ).

tff(decl_59,type,
    c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1: ( $i * $i * $i ) > $i ).

tff(decl_60,type,
    v_sko__Wellfounded__Xacc__Xinduct__1: ( $i * $i ) > $i ).

tff(decl_61,type,
    t_a: $i ).

tff(decl_62,type,
    c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1: ( $i * $i * $i ) > $i ).

tff(decl_63,type,
    c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1: ( $i * $i * $i ) > $i ).

tff(decl_64,type,
    v_sko__Wellfounded__Xacc__Xinducts__1: ( $i * $i ) > $i ).

tff(decl_65,type,
    c_Objects_Ohext: ( $i * $i ) > $o ).

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

tff(decl_67,type,
    c_Expr_Oexp_OCall: ( $i * $i * $i * $i ) > $i ).

tff(decl_68,type,
    class_Orderings_Opreorder: $i > $o ).

tff(decl_69,type,
    class_Orderings_Oorder: $i > $o ).

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

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

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

tff(decl_73,type,
    class_HOL_Oord: $i > $o ).

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

tff(decl_75,type,
    c_DefAss_O_092_060D_062: ( $i * $i * $i ) > $o ).

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

tff(decl_77,type,
    c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1: ( $i * $i * $i * $i ) > $i ).

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

tff(decl_79,type,
    c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1: ( $i * $i * $i * $i ) > $i ).

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

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

tff(decl_82,type,
    c_Progress_Osko__Progress__Xprogress__1__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_83,type,
    c_Progress_Osko__Progress__Xprogress__1__2: ( $i * $i * $i * $i ) > $i ).

tff(decl_84,type,
    c_ATP__Linkup_Osko__Relation__XRange__iff__1__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_85,type,
    c_ATP__Linkup_Osko__Relation__XRangeE__1__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_86,type,
    c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1: ( $i * $i * $i * $i ) > $i ).

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

tff(decl_88,type,
    c_ATP__Linkup_Osko__Relation__XDomainE__1__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_89,type,
    c_State_Ohp: $i > $i ).

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

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

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

tff(decl_93,type,
    c_WellType_OWT: ( $i * $i * $i * $i ) > $o ).

tff(decl_94,type,
    v_sko__TypeSafe__Mirabelle__Xeval__preserves__type__1: ( $i * $i * $i * $i * $i ) > $i ).

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

tff(decl_96,type,
    c_JWellForm_Owf__J__mdecl: $i ).

tff(decl_97,type,
    c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_98,type,
    c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2: ( $i * $i * $i * $i ) > $i ).

tff(decl_99,type,
    c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_100,type,
    c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2: ( $i * $i * $i * $i ) > $i ).

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

tff(decl_102,type,
    v_sko__TypeSafe__Mirabelle__Xsubject__reduction__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_103,type,
    v_sko__TypeSafe__Mirabelle__Xsubject__reduction2__1: ( $i * $i * $i * $i * $i ) > $i ).

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

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

tff(decl_106,type,
    c_TypeRel_Owiden: ( $i * $i * $i * $i ) > $o ).

tff(decl_107,type,
    v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_108,type,
    c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_109,type,
    c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_110,type,
    v_sko__Transitive__Closure__Xrtrancl__Xcases__1: ( $i * $i * $i ) > $i ).

tff(decl_111,type,
    c_Map_Osko__Map__XdomD__1__1: ( $i * $i * $i * $i ) > $i ).

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

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

tff(decl_114,type,
    v_sko__TypeSafe__Mirabelle__XProgress__1: ( $i * $i * $i ) > $i ).

tff(decl_115,type,
    v_sko__TypeSafe__Mirabelle__XProgress__2: ( $i * $i * $i ) > $i ).

tff(decl_116,type,
    c_State_Olcl: $i > $i ).

tff(decl_117,type,
    v_sko__TypeSafe__Mirabelle__XSubject__reduction__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_118,type,
    v_sko__TypeSafe__Mirabelle__XSubject__reductions__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_119,type,
    v_P: $i ).

tff(decl_120,type,
    v_E: $i ).

tff(decl_121,type,
    v_s: $i ).

tff(decl_122,type,
    v_e: $i ).

tff(decl_123,type,
    v_T: $i ).

tff(decl_124,type,
    v_e_H: $i ).

tff(decl_125,type,
    v_s_H: $i ).

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

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

cnf(cls_Progress_0,axiom,
    ( c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(v_sko__TypeSafe__Mirabelle__XProgress__1(X3,X1,X2),v_sko__TypeSafe__Mirabelle__XProgress__2(X3,X1,X2),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X3),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
    | ~ c_DefAss_O_092_060D_062(X1,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(X2),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
    | ~ c_TypeSafe__Mirabelle_Owf__config(X3,X4,X2,X1,X5)
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X3,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_Progress_0) ).

cnf(cls_conjecture_7,negated_conjecture,
    c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s_H,v_e_H,v_T_H),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).

cnf(cls_conjecture_9,negated_conjecture,
    c_DefAss_O_092_060D_062(v_e_H,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(v_s_H),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,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(cls_conjecture_10,negated_conjecture,
    ~ c_BigStep_Ofinal(v_e_H,tc_List_Olist(tc_String_Ochar)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).

cnf(cls_conjecture_5,negated_conjecture,
    ~ c_in(c_Pair(c_Pair(v_e_H,v_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(v_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_0_6,axiom,
    ( c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(v_sko__TypeSafe__Mirabelle__XProgress__1(X3,X1,X2),v_sko__TypeSafe__Mirabelle__XProgress__2(X3,X1,X2),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X3),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))))
    | c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
    | ~ c_DefAss_O_092_060D_062(X1,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(X2),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
    | ~ c_TypeSafe__Mirabelle_Owf__config(X3,X4,X2,X1,X5)
    | ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ),
    cls_Progress_0 ).

cnf(c_0_7,negated_conjecture,
    c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s_H,v_e_H,v_T_H),
    cls_conjecture_7 ).

cnf(c_0_8,negated_conjecture,
    c_DefAss_O_092_060D_062(v_e_H,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(v_s_H),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar)),
    cls_conjecture_9 ).

cnf(c_0_9,negated_conjecture,
    c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,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_10,negated_conjecture,
    ~ c_BigStep_Ofinal(v_e_H,tc_List_Olist(tc_String_Ochar)),
    cls_conjecture_10 ).

cnf(c_0_11,negated_conjecture,
    ~ c_in(c_Pair(c_Pair(v_e_H,v_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(v_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(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))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    cls_conjecture_5 ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9])]),c_0_10]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV995-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 03:45:23 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.58  start to proof: theBenchmark
% 0.77/0.86  % Version  : CSE_E---1.5
% 0.77/0.86  % Problem  : theBenchmark.p
% 0.77/0.86  % Proof found
% 0.77/0.86  % SZS status Theorem for theBenchmark.p
% 0.77/0.86  % SZS output start Proof
% See solution above
% 0.77/0.87  % Total time : 0.227000 s
% 0.77/0.87  % SZS output end Proof
% 0.77/0.87  % Total time : 0.271000 s
%------------------------------------------------------------------------------