TSTP Solution File: SWV949-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV949-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n022.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 : Tue Aug 22 11:05:59 EDT 2023

% Result   : Unsatisfiable 9.62s 3.30s
% Output   : CNFRefutation 9.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   71
% Syntax   : Number of formulae    :   80 (  10 unt;  66 typ;   0 def)
%            Number of atoms       :   18 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   8   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  189 (  47   >; 142   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-6 aty)
%            Number of functors    :   54 (  54 usr;  19 con; 0-21 aty)
%            Number of variables   :   22 (;  22   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_TypeRel_Ohas__field > c_WellTypeRT_OWTrt > c_SmallStep_Oredp > c_Progress_OWTrt_H > c_List_Olist__all2 > c_Conform_Oconf > c_WellType_OWT > c_Map_Omap__le > c_TypeSafe__Mirabelle_Osconf > c_DefAss_O_092_060D_062 > c_Objects_Ohext > hBOOL > c_Expr_Oexp_Oexp__rec__1 > c_Expr_Oexp_Oexp__case > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 > v_sko__local__XIH__1 > v_sko__local__XFAccRed__Xhyps__2__1 > v_sko__local__XFAccRed__2__1 > c_Expr_Oexp_OTryCatch > c_Expr_Oexp_OFAss > c_Pair > c_Expr_Oexp_OFAcc > c_Expr_Oexp_OCond > c_Expr_Oexp_OCall > c_Expr_Oexp_OBlock > c_Expr_Oexp_OBinOp > c_Expr_Oexp_OWhile > c_Expr_Oexp_OSeq > c_Expr_Oexp_OLAss > c_Expr_Oexp_OCast > tc_prod > tc_fun > hAPP > c_TypeRel_Owiden > c_Expr_Oexp_Othrow > c_Expr_Oexp_Onew > c_Expr_Oexp_OVar > c_Expr_Oexp_OVal > c_DefAss_O_092_060A_062 > c_COMBI > #nlpp > tc_Option_Ooption > tc_List_Olist > tc_Expr_Oexp > c_fequal > c_Type_Oty_OClass > c_Expr_Ofv > v_la____ > v_ha____ > v_h_Ha____ > v_ea____ > v_e_Ha____ > v_U____ > v_T____ > v_P > v_F____ > v_E____ > v_D____ > v_C____ > tc_nat > tc_Value_Oval > tc_Type_Oty > tc_String_Ochar > t_a > c_Type_Oty_ONT > c_Type_Oty_OBoolean

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(tc_Type_Oty,type,
    tc_Type_Oty: $i ).

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

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

tff(v_C____,type,
    v_C____: $i ).

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

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

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

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

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

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

tff(c_DefAss_O_092_060A_062,type,
    c_DefAss_O_092_060A_062: ( $i * $i ) > $i ).

tff(c_Expr_Ofv,type,
    c_Expr_Ofv: $i > $i ).

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

tff(c_Expr_Oexp_Oexp__rec__1,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(t_a,type,
    t_a: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(v_sko__local__XFAccRed__2__1,type,
    v_sko__local__XFAccRed__2__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(v_U____,type,
    v_U____: $i ).

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

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

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

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

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

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

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

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

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

tff(v_sko__local__XFAccRed__Xhyps__2__1,type,
    v_sko__local__XFAccRed__Xhyps__2__1: ( $i * $i * $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_1422,axiom,
    v_U____ = c_Type_Oty_ONT,
    file(unknown,unknown) ).

tff(f_1421,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
    file(unknown,unknown) ).

tff(f_1198,axiom,
    ! [V_F,V_e,V_T,V_P,V_D,V_h,V_E] :
      ( c_WellTypeRT_OWTrt(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_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_ONT) ),
    file(unknown,unknown) ).

tff(f_1305,axiom,
    ! [V_P,T_a,V_T] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_T),V_T)),
    file(unknown,unknown) ).

tff(f_1428,axiom,
    ! [V_x] :
      ( ~ 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) ),
    file(unknown,unknown) ).

tff(c_734,plain,
    v_U____ = c_Type_Oty_ONT,
    inference(cnfTransformation,[status(thm)],[f_1422]) ).

tff(c_732,plain,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
    inference(cnfTransformation,[status(thm)],[f_1421]) ).

tff(c_741,plain,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
    inference(demodulation,[status(thm),theory(equality)],[c_734,c_732]) ).

tff(c_634,plain,
    ! [V_E_2159,V_D_2157,V_T_2155,V_F_2153,V_e_2154,V_h_2158,V_P_2156] :
      ( ~ c_WellTypeRT_OWTrt(V_P_2156,V_h_2158,V_E_2159,V_e_2154,c_Type_Oty_ONT)
      | c_WellTypeRT_OWTrt(V_P_2156,V_h_2158,V_E_2159,c_Expr_Oexp_OFAcc(V_e_2154,V_F_2153,V_D_2157,tc_List_Olist(tc_String_Ochar)),V_T_2155) ),
    inference(cnfTransformation,[status(thm)],[f_1198]) ).

tff(c_690,plain,
    ! [V_P_2306,T_a_2307,V_T_2308] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P_2306,T_a_2307),V_T_2308),V_T_2308)),
    inference(cnfTransformation,[status(thm)],[f_1305]) ).

tff(c_1898,plain,
    ! [V_x_3814] :
      ( ~ 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_3814)
      | ~ 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_3814),v_T____)) ),
    inference(cnfTransformation,[status(thm)],[f_1428]) ).

tff(c_1903,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(resolution,[status(thm)],[c_690,c_1898]) ).

tff(c_1906,plain,
    ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
    inference(resolution,[status(thm)],[c_634,c_1903]) ).

tff(c_1916,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_741,c_1906]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV949-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.34  % Computer : n022.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Thu Aug  3 22:26:03 EDT 2023
% 0.16/0.34  % CPUTime  : 
% 9.62/3.30  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.62/3.30  
% 9.62/3.30  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.62/3.33  
% 9.62/3.33  Inference rules
% 9.62/3.33  ----------------------
% 9.62/3.33  #Ref     : 38
% 9.62/3.33  #Sup     : 220
% 9.62/3.33  #Fact    : 0
% 9.62/3.33  #Define  : 0
% 9.62/3.33  #Split   : 0
% 9.62/3.33  #Chain   : 0
% 9.62/3.33  #Close   : 0
% 9.62/3.33  
% 9.62/3.33  Ordering : KBO
% 9.62/3.33  
% 9.62/3.33  Simplification rules
% 9.62/3.33  ----------------------
% 9.62/3.33  #Subsume      : 138
% 9.62/3.33  #Demod        : 13
% 9.62/3.33  #Tautology    : 76
% 9.62/3.33  #SimpNegUnit  : 0
% 9.62/3.33  #BackRed      : 0
% 9.62/3.33  
% 9.62/3.33  #Partial instantiations: 0
% 9.62/3.33  #Strategies tried      : 1
% 9.62/3.33  
% 9.62/3.33  Timing (in seconds)
% 9.62/3.33  ----------------------
% 9.62/3.34  Preprocessing        : 1.12
% 9.62/3.34  Parsing              : 0.61
% 9.62/3.34  CNF conversion       : 0.10
% 9.62/3.34  Main loop            : 1.02
% 9.62/3.34  Inferencing          : 0.29
% 9.62/3.34  Reduction            : 0.37
% 9.62/3.34  Demodulation         : 0.25
% 9.62/3.34  BG Simplification    : 0.09
% 9.62/3.34  Subsumption          : 0.22
% 9.62/3.34  Abstraction          : 0.03
% 9.62/3.34  MUC search           : 0.00
% 9.62/3.34  Cooper               : 0.00
% 9.62/3.34  Total                : 2.19
% 9.62/3.34  Index Insertion      : 0.00
% 9.62/3.34  Index Deletion       : 0.00
% 9.62/3.34  Index Matching       : 0.00
% 9.62/3.34  BG Taut test         : 0.00
%------------------------------------------------------------------------------