TSTP Solution File: SWV954-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV954-1 : 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 : n025.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 21:48:44 EDT 2023

% Result   : Unsatisfiable 0.18s 0.69s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :  100
% Syntax   : Number of formulae    :  108 (   9 unt;  95 typ;   0 def)
%            Number of atoms       :   19 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  256 (  73   >; 183   *;   0   +;   0  <<)
%            Number of predicates  :   28 (  26 usr;   2 prp; 0-6 aty)
%            Number of functors    :   69 (  69 usr;  21 con; 0-7 aty)
%            Number of variables   :   19 (   5 sgn;   0   !;   0   ?;   0   :)

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

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

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

tff(decl_25,type,
    tc_List_Olist: $i > $i ).

tff(decl_26,type,
    c_Expr_Oexp_OCall: ( $i * $i * $i * $i ) > $i ).

tff(decl_27,type,
    c_BigStep_Oeval: ( $i * $i * $i * $i * $i ) > $o ).

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

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

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

tff(decl_31,type,
    tc_Expr_Oexp: $i > $i ).

tff(decl_32,type,
    tc_nat: $i ).

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

tff(decl_34,type,
    tc_Value_Oval: $i ).

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

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

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

tff(decl_38,type,
    c_SmallStep_Ored: $i > $i ).

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

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

tff(decl_41,type,
    c_Type_Oty_OClass: $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(decl_57,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4: ( $i * $i * $i * $i ) > $i ).

tff(decl_58,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_59,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff(decl_61,type,
    c_WellType_Osko__WellType__XWT__elim__cases__8__1: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_62,type,
    c_WellType_Osko__WellType__XWT__elim__cases__8__2: ( $i * $i * $i * $i * $i * $i ) > $i ).

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

tff(decl_64,type,
    tc_bool: $i ).

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

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

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

tff(decl_68,type,
    c_WellType_Osko__WellType__XWT__elim__cases__7__1: ( $i * $i * $i * $i * $i * $i ) > $i ).

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

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

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

tff(decl_72,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

tff(decl_74,type,
    c_WWellForm_Owwf__J__mdecl: $i ).

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

tff(decl_76,type,
    c_Type_Oty_ONT: $i ).

tff(decl_77,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_78,type,
    class_HOL_Oord: $i > $o ).

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

tff(decl_80,type,
    class_Orderings_Oorder: $i > $o ).

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

tff(decl_82,type,
    class_Orderings_Opreorder: $i > $o ).

tff(decl_83,type,
    hBOOL: $i > $o ).

tff(decl_84,type,
    class_Orderings_Olinorder: $i > $o ).

tff(decl_85,type,
    c_TypeRel_Osko__TypeRel__Xwiden__Class__1__1: ( $i * $i * $i * $i ) > $i ).

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

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

tff(decl_88,type,
    c_WellType_Osko__WellType__XWT__elim__cases__8__3: ( $i * $i * $i * $i * $i * $i ) > $i ).

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

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

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

tff(decl_92,type,
    c_State_Ohp: $i > $i ).

tff(decl_93,type,
    v_sko__TypeRel__Xwiden__Xcases__1: ( $i * $i * $i ) > $i ).

tff(decl_94,type,
    t_a: $i ).

tff(decl_95,type,
    v_sko__TypeRel__Xwiden__Xcases__2: ( $i * $i * $i ) > $i ).

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

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

tff(decl_98,type,
    v_P: $i ).

tff(decl_99,type,
    v_h_Ha____: $i ).

tff(decl_100,type,
    v_e_Ha____: $i ).

tff(decl_101,type,
    v_sko__local__XFAssRed1__Xhyps__2__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_102,type,
    v_ha____: $i ).

tff(decl_103,type,
    v_ea____: $i ).

tff(decl_104,type,
    v_la____: $i ).

tff(decl_105,type,
    v_sko__local__XIH__1: ( $i * $i * $i * $i * $i ) > $i ).

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

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

tff(decl_108,type,
    v_sko__local__XFAssRed1__2__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_109,type,
    tc_Type_Oty: $i ).

tff(decl_110,type,
    v_T____: $i ).

tff(decl_111,type,
    v_E____: $i ).

tff(decl_112,type,
    v_F____: $i ).

tff(decl_113,type,
    v_D____: $i ).

tff(decl_114,type,
    v_e_092_060_094isub_0622____: $i ).

tff(decl_115,type,
    v_thesis____: $o ).

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

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_void_0,axiom,
    v_T____ = c_Type_Oty_OVoid,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_void_0) ).

cnf(cls_that_0,axiom,
    ( v_thesis____
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_WTrt__elim__cases_I8_J_11,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X4))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X5,X3,X6,X1,X7,X2,X4))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X7,X6,X5,X4,tc_List_Olist(tc_String_Ochar)),X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_11) ).

cnf(c_0_5,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_6,axiom,
    v_T____ = c_Type_Oty_OVoid,
    cls_void_0 ).

cnf(c_0_7,axiom,
    ( v_thesis____
    | ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X1) ),
    cls_that_0 ).

cnf(c_0_8,negated_conjecture,
    ~ v_thesis____,
    cls_conjecture_0 ).

cnf(c_0_9,axiom,
    ( c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X3,X1,X2,X4))
    | c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X5,X3,X6,X1,X7,X2,X4))
    | ~ c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OFAss(X7,X6,X5,X4,tc_List_Olist(tc_String_Ochar)),X8) ),
    cls_WTrt__elim__cases_I8_J_11 ).

cnf(c_0_10,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_5,c_0_6]) ).

cnf(c_0_11,plain,
    ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X1),
    inference(sr,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV954-1 : 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
% 0.12/0.34  % Computer : n025.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 04:42:39 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.18/0.54  start to proof: theBenchmark
% 0.18/0.69  % Version  : CSE_E---1.5
% 0.18/0.69  % Problem  : theBenchmark.p
% 0.18/0.69  % Proof found
% 0.18/0.69  % SZS status Theorem for theBenchmark.p
% 0.18/0.69  % SZS output start Proof
% See solution above
% 0.18/0.70  % Total time : 0.122000 s
% 0.18/0.70  % SZS output end Proof
% 0.18/0.70  % Total time : 0.143000 s
%------------------------------------------------------------------------------