TSTP Solution File: SWV943-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV943-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n009.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 21:48:42 EDT 2023

% Result   : Unsatisfiable 0.53s 0.64s
% Output   : CNFRefutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   65
% Syntax   : Number of formulae    :   69 (   5 unt;  62 typ;   0 def)
%            Number of atoms       :    9 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  176 (  43   >; 133   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-5 aty)
%            Number of functors    :   51 (  51 usr;  19 con; 0-21 aty)
%            Number of variables   :    8 (   4 sgn;   0   !;   0   ?;   0   :)

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

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

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

tff(decl_25,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_26,type,
    hAPP: ( $i * $i ) > $i ).

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

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

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

tff(decl_30,type,
    tc_String_Ochar: $i ).

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

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

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

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

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

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

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

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

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

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

tff(decl_41,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_42,type,
    c_Expr_Oexp_OCond: ( $i * $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

tff(decl_50,type,
    c_Expr_Obop_OAdd: $i ).

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

tff(decl_52,type,
    c_Type_Oty_OInteger: $i ).

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

tff(decl_54,type,
    tc_Type_Oty: $i ).

tff(decl_55,type,
    c_DefAss_O_092_060D_062: ( $i * $i * $i ) > $o ).

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

tff(decl_57,type,
    c_fequal: $i > $i ).

tff(decl_58,type,
    c_List_Olist__all2: ( $i * $i * $i * $i * $i ) > $o ).

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

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

tff(decl_61,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

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

tff(decl_64,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__9__2: ( $i * $i * $i * $i ) > $i ).

tff(decl_65,type,
    v_P: $i ).

tff(decl_66,type,
    v_E____: $i ).

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

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

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

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

tff(decl_71,type,
    tc_Option_Ooption: $i > $i ).

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

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

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

tff(decl_75,type,
    v_e_092_060_094isub_0621_H____: $i ).

tff(decl_76,type,
    v_sko__local__XIH__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_77,type,
    v_e_092_060_094isub_0621____: $i ).

tff(decl_78,type,
    v_sko__local__XBinOpRed1__Xhyps__2__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_79,type,
    v_sko__local__XBinOpRed1__2__1: ( $i * $i * $i * $i * $i ) > $i ).

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

tff(decl_81,type,
    v_bop____: $i ).

tff(decl_82,type,
    v_e_092_060_094isub_0622____: $i ).

tff(decl_83,type,
    v_T____: $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_OBinOp(v_e_092_060_094isub_0621_H____,v_bop____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_widen__refl_0,axiom,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__refl_0) ).

cnf(cls_CHAINED_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OBinOp(v_e_092_060_094isub_0621_H____,v_bop____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(c_0_3,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_OBinOp(v_e_092_060_094isub_0621_H____,v_bop____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),X1) ),
    cls_conjecture_0 ).

cnf(c_0_4,axiom,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X3)),
    cls_widen__refl_0 ).

cnf(c_0_5,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OBinOp(v_e_092_060_094isub_0621_H____,v_bop____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
    cls_CHAINED_0 ).

cnf(c_0_6,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SWV943-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.15  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36  % Computer : n009.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 29 07:54:05 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 0.52/0.59  start to proof: theBenchmark
% 0.53/0.64  % Version  : CSE_E---1.5
% 0.53/0.64  % Problem  : theBenchmark.p
% 0.53/0.64  % Proof found
% 0.53/0.64  % SZS status Theorem for theBenchmark.p
% 0.53/0.64  % SZS output start Proof
% See solution above
% 0.53/0.64  % Total time : 0.034000 s
% 0.53/0.64  % SZS output end Proof
% 0.53/0.64  % Total time : 0.042000 s
%------------------------------------------------------------------------------