TSTP Solution File: SWV982-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV982-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n004.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  : 600s
% DateTime : Wed Jul 20 20:40:46 EDT 2022

% Result   : Unsatisfiable 32.84s 33.01s
% Output   : CNFRefutation 32.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   21 (  10 unt;   0 nHn;  16 RR)
%            Number of literals    :   34 (   0 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-5 aty)
%            Number of functors    :   20 (  20 usr;   9 con; 0-8 aty)
%            Number of variables   :   31 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_WTrt__elim__cases_I5_J_0,axiom,
    ( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e_092_060_094isub_0621,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C,V_E,V_P,V_T,V_V,V_e_092_060_094isub_0621,V_e_092_060_094isub_0622,V_h))
    | ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621,V_C,V_V,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T) ) ).

cnf(cls_WTrt__elim__cases_I4_J_1,axiom,
    ( c_Type_Ois__refT(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__4__1(V_E,V_P,V_e,V_h))
    | ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_T) ) ).

cnf(cls_WTrtThrow_0,axiom,
    ( c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_T)
    | ~ c_Type_Ois__refT(V_T_092_060_094isub_062r)
    | ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,V_T_092_060_094isub_062r) ) ).

cnf(cls_WTrt__elim__cases_I4_J_0,axiom,
    ( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__4__1(V_E,V_P,V_e,V_h))
    | ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_Othrow(V_e,tc_List_Olist(tc_String_Ochar)),V_T) ) ).

cnf(cls_widen__refl_0,axiom,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_T),V_T)) ).

cnf(cls_CHAINED_0,axiom,
    c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_C______,v_V______,v_e_092_060_094isub_0622______,tc_List_Olist(tc_String_Ochar)),v_T____) ).

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)))),V_x),v_T____))
    | ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_x) ) ).

cnf(refute_0_0,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_T____),v_T____)),
    inference(subst,[],[cls_widen__refl_0:[bind(T_a,$fot(tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))),bind(V_P,$fot(v_P)),bind(V_T,$fot(v_T____))]]) ).

cnf(refute_0_1,plain,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_T____)
    | ~ 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_T____),v_T____)) ),
    inference(subst,[],[cls_conjecture_0:[bind(V_x,$fot(v_T____))]]) ).

cnf(refute_0_2,plain,
    ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_T____),
    inference(resolve,[$cnf( 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_T____),v_T____)) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ c_Type_Ois__refT(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__4__1(v_E____,v_P,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),v_a______))
    | ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__4__1(v_E____,v_P,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),v_a______))
    | c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_T) ),
    inference(subst,[],[cls_WTrtThrow_0:[bind(V_E,$fot(v_E____)),bind(V_P,$fot(v_P)),bind(V_T_092_060_094isub_062r,$fot(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__4__1(v_E____,v_P,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),v_a______))),bind(V_e,$fot(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)))),bind(V_h,$fot(v_a______))]]) ).

cnf(refute_0_4,plain,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______))
    | c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__4__1(v_E____,v_P,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),v_a______)) ),
    inference(subst,[],[cls_WTrt__elim__cases_I4_J_0:[bind(V_E,$fot(v_E____)),bind(V_P,$fot(v_P)),bind(V_T,$fot(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______))),bind(V_e,$fot(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)))),bind(V_h,$fot(v_a______))]]) ).

cnf(refute_0_5,plain,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_C______,v_V______,v_e_092_060_094isub_0622______,tc_List_Olist(tc_String_Ochar)),v_T____)
    | c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______)) ),
    inference(subst,[],[cls_WTrt__elim__cases_I5_J_0:[bind(V_C,$fot(v_C______)),bind(V_E,$fot(v_E____)),bind(V_P,$fot(v_P)),bind(V_T,$fot(v_T____)),bind(V_V,$fot(v_V______)),bind(V_e_092_060_094isub_0621,$fot(c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)))),bind(V_e_092_060_094isub_0622,$fot(v_e_092_060_094isub_0622______)),bind(V_h,$fot(v_a______))]]) ).

cnf(refute_0_6,plain,
    c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______)),
    inference(resolve,[$cnf( c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_C______,v_V______,v_e_092_060_094isub_0622______,tc_List_Olist(tc_String_Ochar)),v_T____) )],[cls_CHAINED_0,refute_0_5]) ).

cnf(refute_0_7,plain,
    c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__4__1(v_E____,v_P,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),v_a______)),
    inference(resolve,[$cnf( c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______)) )],[refute_0_6,refute_0_4]) ).

cnf(refute_0_8,plain,
    ( ~ c_Type_Ois__refT(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__4__1(v_E____,v_P,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),v_a______))
    | c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_T) ),
    inference(resolve,[$cnf( c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__4__1(v_E____,v_P,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),v_a______)) )],[refute_0_7,refute_0_3]) ).

cnf(refute_0_9,plain,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______))
    | c_Type_Ois__refT(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__4__1(v_E____,v_P,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),v_a______)) ),
    inference(subst,[],[cls_WTrt__elim__cases_I4_J_1:[bind(V_E,$fot(v_E____)),bind(V_P,$fot(v_P)),bind(V_T,$fot(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______))),bind(V_e,$fot(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)))),bind(V_h,$fot(v_a______))]]) ).

cnf(refute_0_10,plain,
    c_Type_Ois__refT(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__4__1(v_E____,v_P,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),v_a______)),
    inference(resolve,[$cnf( c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_e_092_060_094isub_0622______,v_a______)) )],[refute_0_6,refute_0_9]) ).

cnf(refute_0_11,plain,
    c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),V_T),
    inference(resolve,[$cnf( c_Type_Ois__refT(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__4__1(v_E____,v_P,c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),v_a______)) )],[refute_0_10,refute_0_8]) ).

cnf(refute_0_12,plain,
    c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_T____),
    inference(subst,[],[refute_0_11:[bind(V_T,$fot(v_T____))]]) ).

cnf(refute_0_13,plain,
    $false,
    inference(resolve,[$cnf( c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_T____) )],[refute_0_12,refute_0_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV982-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n004.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun 15 17:13:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 32.84/33.01  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.84/33.01  
% 32.84/33.01  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 32.84/33.01  
%------------------------------------------------------------------------------