TSTP Solution File: SWV951-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV951-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n011.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 20:40:40 EDT 2022

% Result   : Unsatisfiable 3.37s 3.56s
% Output   : CNFRefutation 3.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   18 (  10 unt;   0 nHn;  12 RR)
%            Number of literals    :   26 (   0 equ;  11 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-5 aty)
%            Number of functors    :   15 (  15 usr;   9 con; 0-4 aty)
%            Number of variables   :   36 (  17 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_WTrt_H__WTrts_H_Ointros_I9_J_0,axiom,
    ( c_Progress_OWTrt_H(V_P,V_h,V_E,c_Expr_Oexp_OFAcc(V_e,V_F,V_D,tc_List_Olist(tc_String_Ochar)),V_T)
    | ~ c_Progress_OWTrt_H(V_P,V_h,V_E,V_e,c_Type_Oty_ONT) ) ).

cnf(cls_wt__wt_H_0,axiom,
    ( c_Progress_OWTrt_H(V_P,V_h,V_E,V_e,V_T)
    | ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,V_T) ) ).

cnf(cls_wt_H__wt_0,axiom,
    ( c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,V_T)
    | ~ c_Progress_OWTrt_H(V_P,V_h,V_E,V_e,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_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT) ).

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_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,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_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,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_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,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_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,X_18741,X_18740,tc_List_Olist(tc_String_Ochar)),X_18742)
    | c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,X_18741,X_18740,tc_List_Olist(tc_String_Ochar)),X_18742) ),
    inference(subst,[],[cls_wt_H__wt_0:[bind(V_E,$fot(v_E____)),bind(V_P,$fot(v_P)),bind(V_T,$fot(X_18742)),bind(V_e,$fot(c_Expr_Oexp_OFAcc(v_e_Ha____,X_18741,X_18740,tc_List_Olist(tc_String_Ochar)))),bind(V_h,$fot(v_h_Ha____))]]) ).

cnf(refute_0_4,plain,
    ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT)
    | c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT) ),
    inference(subst,[],[cls_wt__wt_H_0:[bind(V_E,$fot(v_E____)),bind(V_P,$fot(v_P)),bind(V_T,$fot(c_Type_Oty_ONT)),bind(V_e,$fot(v_e_Ha____)),bind(V_h,$fot(v_h_Ha____))]]) ).

cnf(refute_0_5,plain,
    c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
    inference(resolve,[$cnf( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT) )],[cls_CHAINED_0,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT)
    | c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,X_18735,X_18733,tc_List_Olist(tc_String_Ochar)),X_18737) ),
    inference(subst,[],[cls_WTrt_H__WTrts_H_Ointros_I9_J_0:[bind(V_D,$fot(X_18733)),bind(V_E,$fot(v_E____)),bind(V_F,$fot(X_18735)),bind(V_P,$fot(v_P)),bind(V_T,$fot(X_18737)),bind(V_e,$fot(v_e_Ha____)),bind(V_h,$fot(v_h_Ha____))]]) ).

cnf(refute_0_7,plain,
    c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,X_18735,X_18733,tc_List_Olist(tc_String_Ochar)),X_18737),
    inference(resolve,[$cnf( c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT) )],[refute_0_5,refute_0_6]) ).

cnf(refute_0_8,plain,
    c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,X_18741,X_18740,tc_List_Olist(tc_String_Ochar)),X_18742),
    inference(subst,[],[refute_0_7:[bind(X_18733,$fot(X_18740)),bind(X_18735,$fot(X_18741)),bind(X_18737,$fot(X_18742))]]) ).

cnf(refute_0_9,plain,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,X_18741,X_18740,tc_List_Olist(tc_String_Ochar)),X_18742),
    inference(resolve,[$cnf( c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,X_18741,X_18740,tc_List_Olist(tc_String_Ochar)),X_18742) )],[refute_0_8,refute_0_3]) ).

cnf(refute_0_10,plain,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,tc_List_Olist(tc_String_Ochar)),v_T____),
    inference(subst,[],[refute_0_9:[bind(X_18740,$fot(v_D____)),bind(X_18741,$fot(v_F____)),bind(X_18742,$fot(v_T____))]]) ).

cnf(refute_0_11,plain,
    $false,
    inference(resolve,[$cnf( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,tc_List_Olist(tc_String_Ochar)),v_T____) )],[refute_0_10,refute_0_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV951-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 15 15:03:50 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 3.37/3.56  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.37/3.56  
% 3.37/3.56  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.37/3.57  
%------------------------------------------------------------------------------