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Beagle---0.9.52.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : SWV982-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n021.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 : Wed Apr  9 09:32:00 PM UTC 2025

% Result   : Unsatisfiable 26.21s 11.05s
% Output   : CNFRefutation 26.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   21 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   29 (  16   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  15 usr;   1 prp; 0-5 aty)
%            Number of functors    :   66 (  66 usr;  19 con; 0-21 aty)
%            Number of variables   :   58 (  58   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_WellTypeRT_OWTrt > c_SmallStep_Oredp > c_Progress_OWTrt_H > c_List_Olist__all2 > c_Conform_Oconf > c_BigStep_Oeval > c_WellType_OWT > c_Map_Omap__le > c_in > c_TypeSafe__Mirabelle_Osconf > c_DefAss_O_092_060D_062 > c_Objects_Ohext > c_BigStep_Ofinal > hBOOL > c_Type_Ois__refT > c_Expr_Oexp_Oexp__rec__1 > c_Expr_Oexp_Oexp__case > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 > c_Value_Oval_Oval__rec > c_Value_Oval_Oval__case > c_Expr_Oexp_OTryCatch > c_Expr_Oexp_OFAss > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__4__1 > 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_TypeRel_Osubcls1 > c_Transitive__Closure_Ortrancl > c_State_Ohp > c_Option_Ooption_OSome > c_Objects_Otypeof__h > c_Expr_Oexp_Othrow > c_Expr_Oexp_Onew > c_Expr_Oexp_OVar > c_Expr_Oexp_OVal > c_COMBI > c_BigStep_Osko__BigStep__Xfinal__def__1__2 > c_BigStep_Osko__BigStep__Xfinal__def__1__1 > c_BigStep_Osko__BigStep__XfinalE__1__2 > c_BigStep_Osko__BigStep__XfinalE__1__1 > #nlpp > tc_Option_Ooption > tc_List_Olist > tc_Expr_Oexp > c_fequal > c_Value_Oval_OIntg > c_Value_Oval_OAddr > c_Value_Othe__Addr > c_Type_Oty_OClass > c_Progress_Osko__Progress__Xfinal__addrE__1__2 > c_Progress_Osko__Progress__Xfinal__addrE__1__1 > c_Expr_Ofv > v_fs______ > v_e_092_060_094isub_0622______ > v_b______ > v_aa______ > v_a______ > v_V______ > v_T____ > v_P > v_E____ > v_D______ > v_C______ > tc_nat > tc_Value_Oval > tc_Type_Oty > tc_String_Ochar > t_a > c_Value_Oval_OUnit > c_Value_Oval_ONull > c_Type_Oty_OBoolean

%Foreground sorts:

%Background operators:

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

tff(c_Progress_Osko__Progress__Xfinal__addrE__1__1,type,
    c_Progress_Osko__Progress__Xfinal__addrE__1__1: $i > $i ).

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

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

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

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

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

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

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

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

tff(c_BigStep_Osko__BigStep__XfinalE__1__2,type,
    c_BigStep_Osko__BigStep__XfinalE__1__2: ( $i * $i ) > $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_Value_Oval_OAddr,type,
    c_Value_Oval_OAddr: $i > $i ).

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

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

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

tff(c_TypeRel_Osubcls1,type,
    c_TypeRel_Osubcls1: ( $i * $i ) > $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_Value_Oval_Oval__rec,type,
    c_Value_Oval_Oval__rec: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

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

tff(v_e_092_060_094isub_0622______,type,
    v_e_092_060_094isub_0622______: $i ).

tff(c_BigStep_Osko__BigStep__Xfinal__def__1__2,type,
    c_BigStep_Osko__BigStep__Xfinal__def__1__2: ( $i * $i ) > $i ).

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

tff(c_Progress_Osko__Progress__Xfinal__addrE__1__2,type,
    c_Progress_Osko__Progress__Xfinal__addrE__1__2: $i > $i ).

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

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

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

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

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

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

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

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

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

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

tff(c_Value_Oval_OIntg,type,
    c_Value_Oval_OIntg: $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_Value_Oval_Oval__case,type,
    c_Value_Oval_Oval__case: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

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

tff(c_Value_Oval_OUnit,type,
    c_Value_Oval_OUnit: $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_D______,type,
    v_D______: $i ).

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

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

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

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

tff(c_BigStep_Osko__BigStep__Xfinal__def__1__1,type,
    c_BigStep_Osko__BigStep__Xfinal__def__1__1: ( $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_aa______,type,
    v_aa______: $i ).

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

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

tff(c_BigStep_Osko__BigStep__XfinalE__1__1,type,
    c_BigStep_Osko__BigStep__XfinalE__1__1: ( $i * $i ) > $i ).

tff(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__4__1,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__4__1: ( $i * $i * $i * $i ) > $i ).

tff(f_1639,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____),
    file(unknown,unknown) ).

tff(f_684,axiom,
    ! [V_e_092_060_094isub_0622,V_V,V_T,V_e_092_060_094isub_0621,V_P,V_C,V_h,V_E] :
      ( 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) ),
    file(unknown,unknown) ).

tff(f_1440,axiom,
    ! [V_e,V_T,V_P,V_h,V_E] :
      ( 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) ),
    file(unknown,unknown) ).

tff(f_1599,axiom,
    ! [V_e,V_T,V_P,V_h,V_E] :
      ( 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) ),
    file(unknown,unknown) ).

tff(f_1594,axiom,
    ! [V_e,V_T_092_060_094isub_062r,V_T,V_P,V_h,V_E] :
      ( 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) ),
    file(unknown,unknown) ).

tff(f_1627,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_1649,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_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) ),
    file(unknown,unknown) ).

tff(c_846,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____),
    inference(cnfTransformation,[status(thm)],[f_1639]) ).

tff(c_3841,plain,
    ! [V_T_4679,V_V_4677,V_h_4678,V_e_092_060_094isub_0622_4675,V_P_4674,V_C_4680,V_E_4676,V_e_092_060_094isub_0621_4673] :
      ( ~ c_WellTypeRT_OWTrt(V_P_4674,V_h_4678,V_E_4676,c_Expr_Oexp_OTryCatch(V_e_092_060_094isub_0621_4673,V_C_4680,V_V_4677,V_e_092_060_094isub_0622_4675,tc_List_Olist(tc_String_Ochar)),V_T_4679)
      | c_WellTypeRT_OWTrt(V_P_4674,V_h_4678,V_E_4676,V_e_092_060_094isub_0621_4673,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(V_C_4680,V_E_4676,V_P_4674,V_T_4679,V_V_4677,V_e_092_060_094isub_0621_4673,V_e_092_060_094isub_0622_4675,V_h_4678)) ),
    inference(cnfTransformation,[status(thm)],[f_684]) ).

tff(c_3850,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(resolution,[status(thm)],[c_846,c_3841]) ).

tff(c_766,plain,
    ! [V_E_2567,V_T_2564,V_e_2563,V_P_2565,V_h_2566] :
      ( ~ c_WellTypeRT_OWTrt(V_P_2565,V_h_2566,V_E_2567,c_Expr_Oexp_Othrow(V_e_2563,tc_List_Olist(tc_String_Ochar)),V_T_2564)
      | c_Type_Ois__refT(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__4__1(V_E_2567,V_P_2565,V_e_2563,V_h_2566)) ),
    inference(cnfTransformation,[status(thm)],[f_1440]) ).

tff(c_24411,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(resolution,[status(thm)],[c_3850,c_766]) ).

tff(c_824,plain,
    ! [V_e_2695,V_h_2698,V_E_2699,V_T_2696,V_P_2697] :
      ( ~ c_WellTypeRT_OWTrt(V_P_2697,V_h_2698,V_E_2699,c_Expr_Oexp_Othrow(V_e_2695,tc_List_Olist(tc_String_Ochar)),V_T_2696)
      | c_WellTypeRT_OWTrt(V_P_2697,V_h_2698,V_E_2699,V_e_2695,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__4__1(V_E_2699,V_P_2697,V_e_2695,V_h_2698)) ),
    inference(cnfTransformation,[status(thm)],[f_1599]) ).

tff(c_24408,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(resolution,[status(thm)],[c_3850,c_824]) ).

tff(c_822,plain,
    ! [V_e_2689,V_T_092_060_094isub_062r_2690,V_h_2693,V_E_2694,V_T_2691,V_P_2692] :
      ( ~ c_WellTypeRT_OWTrt(V_P_2692,V_h_2693,V_E_2694,V_e_2689,V_T_092_060_094isub_062r_2690)
      | ~ c_Type_Ois__refT(V_T_092_060_094isub_062r_2690)
      | c_WellTypeRT_OWTrt(V_P_2692,V_h_2693,V_E_2694,c_Expr_Oexp_Othrow(V_e_2689,tc_List_Olist(tc_String_Ochar)),V_T_2691) ),
    inference(cnfTransformation,[status(thm)],[f_1594]) ).

tff(c_24429,plain,
    ! [V_T_2691] :
      ( ~ 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_2691) ),
    inference(resolution,[status(thm)],[c_24408,c_822]) ).

tff(c_24441,plain,
    ! [V_T_2691] : 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_2691),
    inference(demodulation,[status(thm),theory(equality)],[c_24411,c_24429]) ).

tff(c_840,plain,
    ! [V_P_2718,T_a_2719,V_T_2720] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P_2718,T_a_2719),V_T_2720),V_T_2720)),
    inference(cnfTransformation,[status(thm)],[f_1627]) ).

tff(c_4395,plain,
    ! [V_x_4862] :
      ( ~ 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_4862)
      | ~ 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_4862),v_T____)) ),
    inference(cnfTransformation,[status(thm)],[f_1649]) ).

tff(c_4400,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(resolution,[status(thm)],[c_840,c_4395]) ).

tff(c_24451,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_24441,c_4400]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV982-1 : TPTP v9.0.0. Released v4.1.0.
% 0.11/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Apr  9 05:04:44 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 26.21/11.05  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.21/11.06  
% 26.21/11.06  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------