TSTP Solution File: SWV959-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV959-1 : 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 : 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 21:48:45 EDT 2023

% Result   : Unsatisfiable 0.73s 0.86s
% Output   : CNFRefutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   80
% Syntax   : Number of formulae    :  108 (  16 unt;  68 typ;   0 def)
%            Number of atoms       :   83 (   7 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   82 (  39   ~;  43   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  212 (  49   >; 163   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-6 aty)
%            Number of functors    :   56 (  56 usr;  19 con; 0-21 aty)
%            Number of variables   :  107 (  33 sgn;   0   !;   0   ?;   0   :)

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

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

tff(decl_24,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff(decl_29,type,
    c_Type_Oty_OVoid: $i ).

tff(decl_30,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4: ( $i * $i * $i * $i ) > $i ).

tff(decl_31,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_32,type,
    tc_Expr_Oexp: $i > $i ).

tff(decl_33,type,
    tc_prod: ( $i * $i ) > $i ).

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

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

tff(decl_36,type,
    c_Expr_Oexp_OVar: ( $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

tff(decl_47,type,
    c_Type_Oty_OBoolean: $i ).

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

tff(decl_49,type,
    c_Expr_Oexp_Oexp__case: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

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

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

tff(decl_53,type,
    c_Expr_Oexp_Oexp__rec__1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff(decl_55,type,
    hBOOL: $i > $o ).

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

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

tff(decl_58,type,
    tc_Type_Oty: $i ).

tff(decl_59,type,
    c_DefAss_O_092_060D_062: ( $i * $i * $i ) > $o ).

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

tff(decl_61,type,
    c_COMBI: ( $i * $i ) > $i ).

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

tff(decl_63,type,
    c_List_Olist__all2: ( $i * $i * $i * $i * $i ) > $o ).

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

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

tff(decl_66,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

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

tff(decl_69,type,
    v_E____: $i ).

tff(decl_70,type,
    v_ha____: $i ).

tff(decl_71,type,
    v_la____: $i ).

tff(decl_72,type,
    tc_nat: $i ).

tff(decl_73,type,
    tc_Value_Oval: $i ).

tff(decl_74,type,
    tc_Option_Ooption: $i > $i ).

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

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

tff(decl_77,type,
    v_e_Ha____: $i ).

tff(decl_78,type,
    v_h_Ha____: $i ).

tff(decl_79,type,
    v_sko__local__XFAssRed1__2__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_80,type,
    v_ea____: $i ).

tff(decl_81,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_82,type,
    v_sko__local__XIH__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_83,type,
    v_T____: $i ).

tff(decl_84,type,
    v_sko__local__XFAssRed1__Xhyps__2__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_85,type,
    v_F____: $i ).

tff(decl_86,type,
    v_D____: $i ).

tff(decl_87,type,
    v_e_092_060_094isub_0622____: $i ).

tff(decl_88,type,
    t_a: $i ).

tff(decl_89,type,
    v_sko__CHAINED__1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

cnf(cls_conjecture_0,negated_conjecture,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1),v_T____))
    | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_void_0,axiom,
    v_T____ = c_Type_Oty_OVoid,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_void_0) ).

cnf(cls_CHAINED_1_02,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),v_T____))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1_02) ).

cnf(cls_CHAINED_0_03,axiom,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).

cnf(cls_wt_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wt_0) ).

cnf(cls_CHAINED_0_01,axiom,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1),X2))
    | ~ c_TypeRel_Ohas__field(v_P,X3,v_F____,X2,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X1)
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

cnf(cls_WTrt__elim__cases_I8_J_13,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X5,X3,X6,X1,X4,X2,X7)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X5,X3,X6,X1,X4,X2,X7)))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_13) ).

cnf(cls_WTrt__elim__cases_I8_J_10,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X7,X1,X4,X2,X5))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X7,X6,X5,tc_List_Olist(tc_String_Ochar)),X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_10) ).

cnf(cls_WTrt__elim__cases_I8_J_7,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X5,X3,X6,X1,X4,X2,X7),X6,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X5,X3,X6,X1,X4,X2,X7),X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_7) ).

cnf(cls_WTrt__elim__cases_I8_J_4,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X5,X3,X6,X1,X4,X2,X7)))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_4) ).

cnf(cls_WTrt__elim__cases_I8_J_0,axiom,
    ( X1 = c_Type_Oty_OVoid
    | X1 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X2,X3,X4,c_Expr_Oexp_OFAss(X5,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_0) ).

cnf(cls_widen__refl_0,axiom,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen__refl_0) ).

cnf(c_0_12,negated_conjecture,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1),v_T____))
    | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),X1) ),
    cls_conjecture_0 ).

cnf(c_0_13,axiom,
    v_T____ = c_Type_Oty_OVoid,
    cls_void_0 ).

cnf(c_0_14,axiom,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),v_T____))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
    cls_CHAINED_1_02 ).

cnf(c_0_15,axiom,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
    cls_CHAINED_0_03 ).

cnf(c_0_16,axiom,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
    cls_wt_0 ).

cnf(c_0_17,negated_conjecture,
    ( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1),c_Type_Oty_OVoid))
    | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),X1) ),
    inference(rw,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,plain,
    ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),c_Type_Oty_OVoid))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_13]),c_0_13]) ).

cnf(c_0_19,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
    inference(rw,[status(thm)],[c_0_15,c_0_13]) ).

cnf(c_0_20,axiom,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1),X2))
    | ~ c_TypeRel_Ohas__field(v_P,X3,v_F____,X2,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X1)
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X3)) ),
    cls_CHAINED_0_01 ).

cnf(c_0_21,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X5,X3,X6,X1,X4,X2,X7)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X5,X3,X6,X1,X4,X2,X7)))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    cls_WTrt__elim__cases_I8_J_13 ).

cnf(c_0_22,plain,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
    inference(rw,[status(thm)],[c_0_16,c_0_13]) ).

cnf(c_0_23,negated_conjecture,
    ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).

cnf(c_0_24,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X6,X3,X7,X1,X4,X2,X5))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X7,X6,X5,tc_List_Olist(tc_String_Ochar)),X8) ),
    cls_WTrt__elim__cases_I8_J_10 ).

cnf(c_0_25,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
    | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1),X2))
    | ~ c_TypeRel_Ohas__field(v_P,X3,v_F____,X2,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X3))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X1) ),
    inference(rw,[status(thm)],[c_0_20,c_0_13]) ).

cnf(c_0_26,plain,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

cnf(c_0_27,plain,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_22]),c_0_23]) ).

cnf(c_0_28,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_TypeRel_Ohas__field(X1,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X5,X3,X6,X1,X4,X2,X7),X6,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X5,X3,X6,X1,X4,X2,X7),X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    cls_WTrt__elim__cases_I8_J_7 ).

cnf(c_0_29,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT)
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X5,X3,X6,X1,X4,X2,X7)))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X4,X6,X5,X7,tc_List_Olist(tc_String_Ochar)),X8) ),
    cls_WTrt__elim__cases_I8_J_4 ).

cnf(c_0_30,plain,
    ( X1 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X2,X3,X4,c_Expr_Oexp_OFAss(X5,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X1) ),
    inference(fof_simplification,[status(thm)],[cls_WTrt__elim__cases_I8_J_0]) ).

cnf(c_0_31,plain,
    ( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
    | ~ c_TypeRel_Ohas__field(v_P,X1,v_F____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).

cnf(c_0_32,plain,
    c_TypeRel_Ohas__field(v_P,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_F____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_22]),c_0_23]) ).

cnf(c_0_33,plain,
    c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_22]),c_0_23]) ).

cnf(c_0_34,plain,
    ( X1 = c_Type_Oty_OVoid
    | ~ c_WellTypeRT_OWTrt(X2,X3,X4,c_Expr_Oexp_OFAss(X5,X6,X7,X8,tc_List_Olist(tc_String_Ochar)),X1) ),
    c_0_30 ).

cnf(c_0_35,plain,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).

cnf(c_0_36,axiom,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X3)),
    cls_widen__refl_0 ).

cnf(c_0_37,plain,
    v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,c_Type_Oty_OVoid,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____) = c_Type_Oty_OVoid,
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,negated_conjecture,
    ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
    inference(spm,[status(thm)],[c_0_17,c_0_36]) ).

cnf(c_0_39,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_37]),c_0_38]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem    : SWV959-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.10  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.08/0.29  % Computer : n032.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit   : 300
% 0.08/0.29  % WCLimit    : 300
% 0.08/0.29  % DateTime   : Tue Aug 29 10:43:46 EDT 2023
% 0.08/0.29  % CPUTime  : 
% 0.13/0.45  start to proof: theBenchmark
% 0.73/0.86  % Version  : CSE_E---1.5
% 0.73/0.86  % Problem  : theBenchmark.p
% 0.73/0.86  % Proof found
% 0.73/0.86  % SZS status Theorem for theBenchmark.p
% 0.73/0.86  % SZS output start Proof
% See solution above
% 0.73/0.86  % Total time : 0.394000 s
% 0.73/0.87  % SZS output end Proof
% 0.73/0.87  % Total time : 0.404000 s
%------------------------------------------------------------------------------