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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW510_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:40:21 PM UTC 2026

% Result   : Theorem 3.19s 0.74s
% Output   : Refutation 3.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   47 (  23 unt;   0 typ;   1 def)
%            Number of atoms       :   84 (  15 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   73 (  36   ~;  29   |;   6   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  10 usr;   2 prp; 0-6 aty)
%            Number of functors    :   82 (  82 usr;  11 con; 0-7 aty)
%            Number of variables   :   83 (   0 sgn  74   !;   9   ?;  83   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    a: $tType ).

tff(type_def_6,type,
    com: $tType ).

tff(type_def_7,type,
    state: $tType ).

tff(type_def_8,type,
    bool: $tType ).

tff(type_def_9,type,
    hoare_28830079triple: $tType > $tType ).

tff(type_def_10,type,
    fun: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    combb: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).

tff(func_def_1,type,
    combc: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * X1 ) > fun(X0,X2) ) ).

tff(func_def_2,type,
    combk: 
      !>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).

tff(func_def_3,type,
    combs: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).

tff(func_def_4,type,
    skip: com ).

tff(func_def_5,type,
    semi: ( com * com ) > com ).

tff(func_def_6,type,
    finite_fold1: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > fun(fun(X0,bool),X0) ) ).

tff(func_def_7,type,
    finite_fold1Set: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,bool) ) > fun(X0,bool) ) ).

tff(func_def_8,type,
    the: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_9,type,
    hoare_1841697145triple: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(X0,fun(state,bool)) ) > hoare_28830079triple(X0) ) ).

tff(func_def_10,type,
    hoare_376461865e_case: 
      !>[X0: $tType,X1: $tType] : ( ( fun(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),X1))) * hoare_28830079triple(X0) ) > X1 ) ).

tff(func_def_11,type,
    hoare_678420151le_rec: 
      !>[X0: $tType,X1: $tType] : ( ( fun(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),X1))) * hoare_28830079triple(X0) ) > X1 ) ).

tff(func_def_12,type,
    bot_bot: 
      !>[X0: $tType] : X0 ).

tff(func_def_13,type,
    collect: 
      !>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).

tff(func_def_14,type,
    insert: 
      !>[X0: $tType] : fun(X0,fun(fun(X0,bool),fun(X0,bool))) ).

tff(func_def_15,type,
    the_elem: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_16,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_17,type,
    fFalse: bool ).

tff(func_def_18,type,
    fNot: fun(bool,bool) ).

tff(func_def_19,type,
    fTrue: bool ).

tff(func_def_20,type,
    fconj: fun(bool,fun(bool,bool)) ).

tff(func_def_21,type,
    fdisj: fun(bool,fun(bool,bool)) ).

tff(func_def_22,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,bool)) ).

tff(func_def_23,type,
    fimplies: fun(bool,fun(bool,bool)) ).

tff(func_def_24,type,
    member: 
      !>[X0: $tType] : fun(X0,fun(fun(X0,bool),bool)) ).

tff(func_def_25,type,
    g: fun(hoare_28830079triple(a),bool) ).

tff(func_def_26,type,
    q: a > fun(state,bool) ).

tff(func_def_27,type,
    c: com ).

tff(func_def_28,type,
    sK0: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > X0 ) ).

tff(func_def_29,type,
    sK1: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > state ) ).

tff(func_def_30,type,
    sK2: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > X0 ) ).

tff(func_def_31,type,
    sK3: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > state ) ).

tff(func_def_32,type,
    sK4: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > X0 ) ).

tff(func_def_33,type,
    sK5: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > state ) ).

tff(func_def_34,type,
    sK6: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > state ) ).

tff(func_def_35,type,
    sK7: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_36,type,
    sK8: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_37,type,
    sK9: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_38,type,
    sK10: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_39,type,
    sK11: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * fun(X0,bool) * X0 ) > fun(X0,bool) ) ).

tff(func_def_40,type,
    sK12: 
      !>[X0: $tType] : ( hoare_28830079triple(X0) > fun(X0,fun(state,bool)) ) ).

tff(func_def_41,type,
    sK13: 
      !>[X0: $tType] : ( hoare_28830079triple(X0) > com ) ).

tff(func_def_42,type,
    sK14: 
      !>[X0: $tType] : ( hoare_28830079triple(X0) > fun(X0,fun(state,bool)) ) ).

tff(func_def_43,type,
    sK15: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > fun(X0,bool) ) ).

tff(func_def_44,type,
    sK16: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).

tff(func_def_45,type,
    sK17: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).

tff(func_def_46,type,
    sK18: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_47,type,
    sK19: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_48,type,
    sK20: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > fun(X0,bool) ) ).

tff(func_def_49,type,
    sK21: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_50,type,
    sK22: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(hoare_28830079triple(X0),bool) * fun(X0,fun(state,bool)) ) > X0 ) ).

tff(func_def_51,type,
    sK23: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(hoare_28830079triple(X0),bool) * fun(X0,fun(state,bool)) ) > state ) ).

tff(func_def_52,type,
    sK24: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(hoare_28830079triple(X0),bool) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > state ) ).

tff(func_def_53,type,
    sK25: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_54,type,
    sK26: 
      !>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).

tff(func_def_55,type,
    sK27: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).

tff(func_def_56,type,
    sK28: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_57,type,
    sK29: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_58,type,
    sK30: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_59,type,
    sK31: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_60,type,
    sK32: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) * X0 * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_61,type,
    sK33: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) * X0 * fun(X0,fun(X0,X0)) ) > fun(X0,bool) ) ).

tff(func_def_62,type,
    sK34: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,bool) ) > X0 ) ).

tff(func_def_63,type,
    sK35: 
      !>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).

tff(func_def_64,type,
    sK36: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_65,type,
    sK37: 
      !>[X0: $tType] : ( fun(fun(X0,bool),bool) > X0 ) ).

tff(func_def_66,type,
    sK38: 
      !>[X0: $tType] : ( fun(fun(X0,bool),bool) > fun(X0,bool) ) ).

tff(func_def_67,type,
    sK39: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X0,fun(X1,X1)) * fun(X0,bool) ) > X1 ) ).

tff(func_def_68,type,
    sK40: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_69,type,
    sK41: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) * fun(X0,fun(X0,X0)) ) > fun(X0,bool) ) ).

tff(func_def_70,type,
    sK42: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_71,type,
    sK43: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X0,bool) * X1 * fun(X0,fun(X1,X1)) ) > X0 ) ).

tff(func_def_72,type,
    sK44: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X0,bool) * X1 * fun(X0,fun(X1,X1)) ) > fun(X0,bool) ) ).

tff(func_def_73,type,
    sK45: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X0,bool) * X1 * fun(X0,fun(X1,X1)) ) > X1 ) ).

tff(func_def_74,type,
    sK46: 
      !>[X0: $tType] : ( fun(fun(X0,bool),bool) > X0 ) ).

tff(func_def_75,type,
    sK47: 
      !>[X0: $tType] : ( fun(fun(X0,bool),bool) > X0 ) ).

tff(func_def_76,type,
    sK48: 
      !>[X0: $tType] : ( fun(fun(X0,bool),bool) > fun(X0,bool) ) ).

tff(func_def_77,type,
    sK49: a ).

tff(func_def_78,type,
    sK50: state ).

tff(func_def_79,type,
    sK51: ( fun(a,fun(state,bool)) * fun(a,fun(state,bool)) ) > state ).

tff(pred_def_1,type,
    bot: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    finite_finite: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    finite_finite1: 
      !>[X0: $tType] : ( fun(X0,bool) > $o ) ).

tff(pred_def_4,type,
    finite_fold_graph: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X1)) * X1 * fun(X0,bool) * X1 ) > $o ) ).

tff(pred_def_5,type,
    finite_folding_one: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(fun(X0,bool),X0) ) > $o ) ).

tff(pred_def_6,type,
    finite2073411215e_idem: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(fun(X0,bool),X0) ) > $o ) ).

tff(pred_def_7,type,
    hoare_992312373derivs: 
      !>[X0: $tType] : ( ( fun(hoare_28830079triple(X0),bool) * fun(hoare_28830079triple(X0),bool) ) > $o ) ).

tff(pred_def_8,type,
    pp: bool > $o ).

tff(pred_def_9,type,
    p: ( a * state ) > $o ).

tff(f105,axiom,
    ~ pp(fFalse),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_pp_1_1_U) ).

tff(f106,axiom,
    pp(fTrue),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_pp_2_1_U) ).

tff(f110,axiom,
    ! [X0: $tType,X1: $tType,X2: $tType,X3: X0,X4: X2,X5: fun(X0,fun(X2,X1))] : ( aa(X0,X1,combc(X0,X2,X1,X5,X4),X3) = aa(X2,X1,aa(X0,fun(X2,X1),X5,X3),X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_U) ).

tff(f111,axiom,
    ! [X0: $tType,X1: $tType,X2: X0,X3: X1] : ( aa(X0,X1,combk(X1,X0,X3),X2) = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_U) ).

tff(f120,axiom,
    ! [X0: bool] :
      ( ( X0 = fTrue )
      | ( X0 = fFalse ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).

tff(f122,axiom,
    ! [X0: $tType,X1: X0,X2: X0] :
      ( ( X2 != X1 )
      | pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X2),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_T) ).

tff(f126,axiom,
    ! [X0: a,X1: state] :
      ( p(X0,X1)
     => hoare_992312373derivs(a,g,aa(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool),aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool)),insert(hoare_28830079triple(a)),hoare_1841697145triple(a,combk(fun(state,bool),a,combc(state,state,bool,fequal(state),X1)),c,combk(fun(state,bool),a,q(X0)))),bot_bot(fun(hoare_28830079triple(a),bool)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f127,conjecture,
    ! [X0: a,X1: state] :
      ( ~ p(X0,X1)
      | ? [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool))] :
          ( hoare_992312373derivs(a,g,aa(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool),aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool)),insert(hoare_28830079triple(a)),hoare_1841697145triple(a,X2,c,X3)),bot_bot(fun(hoare_28830079triple(a),bool))))
          & ! [X4: state] :
              ( ? [X5: a] :
                  ( pp(aa(state,bool,aa(a,fun(state,bool),X2,X5),X1))
                  & ~ pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),X4)) )
              | pp(aa(state,bool,q(X0),X4)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

tff(f128,negated_conjecture,
    ~ ! [X0: a,X1: state] :
        ( ~ p(X0,X1)
        | ? [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool))] :
            ( hoare_992312373derivs(a,g,aa(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool),aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool)),insert(hoare_28830079triple(a)),hoare_1841697145triple(a,X2,c,X3)),bot_bot(fun(hoare_28830079triple(a),bool))))
            & ! [X4: state] :
                ( ? [X5: a] :
                    ( pp(aa(state,bool,aa(a,fun(state,bool),X2,X5),X1))
                    & ~ pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),X4)) )
                | pp(aa(state,bool,q(X0),X4)) ) ) ),
    inference(negated_conjecture,[status(cth)],[f127]) ).

tff(f207,plain,
    ! [X0: a,X1: state] :
      ( hoare_992312373derivs(a,g,aa(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool),aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool)),insert(hoare_28830079triple(a)),hoare_1841697145triple(a,combk(fun(state,bool),a,combc(state,state,bool,fequal(state),X1)),c,combk(fun(state,bool),a,q(X0)))),bot_bot(fun(hoare_28830079triple(a),bool))))
      | ~ p(X0,X1) ),
    inference(ennf_transformation,[],[f126]) ).

tff(f208,plain,
    ? [X0: a,X1: state] :
      ( p(X0,X1)
      & ! [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool))] :
          ( ~ hoare_992312373derivs(a,g,aa(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool),aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool)),insert(hoare_28830079triple(a)),hoare_1841697145triple(a,X2,c,X3)),bot_bot(fun(hoare_28830079triple(a),bool))))
          | ? [X4: state] :
              ( ! [X5: a] :
                  ( ~ pp(aa(state,bool,aa(a,fun(state,bool),X2,X5),X1))
                  | pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),X4)) )
              & ~ pp(aa(state,bool,q(X0),X4)) ) ) ),
    inference(ennf_transformation,[],[f128]) ).

tff(f390,plain,
    ~ pp(fFalse),
    inference(cnf_transformation,[],[f105]) ).

tff(f391,plain,
    pp(fTrue),
    inference(cnf_transformation,[],[f106]) ).

tff(f395,plain,
    ! [X1: $tType,X0: $tType,X2: $tType,X3: X0,X4: X2,X5: fun(X0,fun(X2,X1))] : ( aa(X0,X1,combc(X0,X2,X1,X5,X4),X3) = aa(X2,X1,aa(X0,fun(X2,X1),X5,X3),X4) ),
    inference(cnf_transformation,[],[f110]) ).

tff(f396,plain,
    ! [X1: $tType,X0: $tType,X2: X0,X3: X1] : ( aa(X0,X1,combk(X1,X0,X3),X2) = X3 ),
    inference(cnf_transformation,[],[f111]) ).

tff(f405,plain,
    ! [X0: bool] :
      ( ( fTrue = X0 )
      | ( fFalse = X0 ) ),
    inference(cnf_transformation,[],[f120]) ).

tff(f407,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X2),X1))
      | ( X1 != X2 ) ),
    inference(cnf_transformation,[],[f122]) ).

tff(f411,plain,
    ! [X0: a,X1: state] :
      ( ~ p(X0,X1)
      | hoare_992312373derivs(a,g,aa(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool),aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool)),insert(hoare_28830079triple(a)),hoare_1841697145triple(a,combk(fun(state,bool),a,combc(state,state,bool,fequal(state),X1)),c,combk(fun(state,bool),a,q(X0)))),bot_bot(fun(hoare_28830079triple(a),bool)))) ),
    inference(cnf_transformation,[],[f207]) ).

tff(f412,plain,
    ! [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool)),X5: a] :
      ( ~ hoare_992312373derivs(a,g,aa(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool),aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool)),insert(hoare_28830079triple(a)),hoare_1841697145triple(a,X2,c,X3)),bot_bot(fun(hoare_28830079triple(a),bool))))
      | ~ pp(aa(state,bool,aa(a,fun(state,bool),X2,X5),sK50))
      | pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),sK51(X2,X3))) ),
    inference(cnf_transformation,[],[f208]) ).

tff(f413,plain,
    ! [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool))] :
      ( ~ hoare_992312373derivs(a,g,aa(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool),aa(hoare_28830079triple(a),fun(fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool)),insert(hoare_28830079triple(a)),hoare_1841697145triple(a,X2,c,X3)),bot_bot(fun(hoare_28830079triple(a),bool))))
      | ~ pp(aa(state,bool,q(sK49),sK51(X2,X3))) ),
    inference(cnf_transformation,[],[f208]) ).

tff(f414,plain,
    p(sK49,sK50),
    inference(cnf_transformation,[],[f208]) ).

tff(f452,plain,
    ! [X0: $tType,X2: X0] : pp(aa(X0,bool,aa(X0,fun(X0,bool),fequal(X0),X2),X2)),
    inference(equality_resolution,[],[f407]) ).

tff(f1318,plain,
    ! [X1: $tType,X3: $tType,X2: $tType,X0: fun(X3,X2),X4: X3,X5: X1] : ( aa(X1,X2,combc(X1,X3,X2,combk(fun(X3,X2),X1,X0),X4),X5) = aa(X3,X2,X0,X4) ),
    inference(superposition,[],[f395,f396]) ).

tff(f1342,plain,
    ! [X0: $tType,X1: X0] : pp(aa(X0,bool,combc(X0,X0,bool,fequal(X0),X1),X1)),
    inference(superposition,[],[f452,f395]) ).

tff(f1349,plain,
    ! [X0: fun(a,fun(state,bool)),X1: fun(a,fun(state,bool))] :
      ( ~ hoare_992312373derivs(a,g,aa(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),combc(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool),insert(hoare_28830079triple(a)),bot_bot(fun(hoare_28830079triple(a),bool))),hoare_1841697145triple(a,X0,c,X1)))
      | ~ pp(aa(state,bool,q(sK49),sK51(X0,X1))) ),
    inference(superposition,[],[f413,f395]) ).

tff(f4934,plain,
    ! [X0: a,X1: state] :
      ( ~ p(X0,X1)
      | hoare_992312373derivs(a,g,aa(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),combc(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool),insert(hoare_28830079triple(a)),bot_bot(fun(hoare_28830079triple(a),bool))),hoare_1841697145triple(a,combk(fun(state,bool),a,combc(state,state,bool,fequal(state),X1)),c,combk(fun(state,bool),a,q(X0))))) ),
    inference(forward_demodulation,[],[f411,f395]) ).

tff(f4935,plain,
    hoare_992312373derivs(a,g,aa(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),combc(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool),insert(hoare_28830079triple(a)),bot_bot(fun(hoare_28830079triple(a),bool))),hoare_1841697145triple(a,combk(fun(state,bool),a,combc(state,state,bool,fequal(state),sK50)),c,combk(fun(state,bool),a,q(sK49))))),
    inference(resolution,[],[f4934,f414]) ).

tff(f4937,plain,
    ~ pp(aa(state,bool,q(sK49),sK51(combk(fun(state,bool),a,combc(state,state,bool,fequal(state),sK50)),combk(fun(state,bool),a,q(sK49))))),
    inference(resolution,[],[f4935,f1349]) ).

tff(f5057,plain,
    ( ~ pp(fTrue)
    | ( fFalse = aa(state,bool,q(sK49),sK51(combk(fun(state,bool),a,combc(state,state,bool,fequal(state),sK50)),combk(fun(state,bool),a,q(sK49)))) ) ),
    inference(superposition,[],[f4937,f405]) ).

tff(f5068,plain,
    fFalse = aa(state,bool,q(sK49),sK51(combk(fun(state,bool),a,combc(state,state,bool,fequal(state),sK50)),combk(fun(state,bool),a,q(sK49)))),
    inference(forward_subsumption_resolution,[],[f5057,f391]) ).

tff(f5070,definition,
    ( spl52_121
  <=> ( fFalse = aa(state,bool,q(sK49),sK51(combk(fun(state,bool),a,combc(state,state,bool,fequal(state),sK50)),combk(fun(state,bool),a,q(sK49)))) ) ),
    introduced(definition,[new_symbols(definition,[spl52_121])],[avatar_definition]) ).

tff(f5072,plain,
    ( ( fFalse = aa(state,bool,q(sK49),sK51(combk(fun(state,bool),a,combc(state,state,bool,fequal(state),sK50)),combk(fun(state,bool),a,q(sK49)))) )
    | ~ spl52_121 ),
    inference(avatar_component_clause,[],[f5070]) ).

tff(f5075,plain,
    spl52_121,
    inference(avatar_split_clause,[],[f5068,f5070]) ).

tff(f10637,plain,
    ! [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool)),X5: a] :
      ( ~ hoare_992312373derivs(a,g,aa(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),combc(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool),insert(hoare_28830079triple(a)),bot_bot(fun(hoare_28830079triple(a),bool))),hoare_1841697145triple(a,X2,c,X3)))
      | ~ pp(aa(state,bool,aa(a,fun(state,bool),X2,X5),sK50))
      | pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),sK51(X2,X3))) ),
    inference(forward_demodulation,[],[f412,f395]) ).

tff(f10650,plain,
    ! [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool)),X5: a] :
      ( ~ pp(aa(a,bool,combc(a,state,bool,X2,sK50),X5))
      | ~ hoare_992312373derivs(a,g,aa(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),combc(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool),insert(hoare_28830079triple(a)),bot_bot(fun(hoare_28830079triple(a),bool))),hoare_1841697145triple(a,X2,c,X3)))
      | pp(aa(state,bool,aa(a,fun(state,bool),X3,X5),sK51(X2,X3))) ),
    inference(forward_demodulation,[],[f10637,f395]) ).

tff(f10652,plain,
    ! [X2: fun(a,fun(state,bool)),X3: fun(a,fun(state,bool)),X5: a] :
      ( ~ hoare_992312373derivs(a,g,aa(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),combc(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),fun(hoare_28830079triple(a),bool),insert(hoare_28830079triple(a)),bot_bot(fun(hoare_28830079triple(a),bool))),hoare_1841697145triple(a,X2,c,X3)))
      | ~ pp(aa(a,bool,combc(a,state,bool,X2,sK50),X5))
      | pp(aa(a,bool,combc(a,state,bool,X3,sK51(X2,X3)),X5)) ),
    inference(forward_demodulation,[],[f10650,f395]) ).

tff(f10672,plain,
    ! [X0: a] :
      ( ~ pp(aa(a,bool,combc(a,state,bool,combk(fun(state,bool),a,combc(state,state,bool,fequal(state),sK50)),sK50),X0))
      | pp(aa(a,bool,combc(a,state,bool,combk(fun(state,bool),a,q(sK49)),sK51(combk(fun(state,bool),a,combc(state,state,bool,fequal(state),sK50)),combk(fun(state,bool),a,q(sK49)))),X0)) ),
    inference(resolution,[],[f10652,f4935]) ).

tff(f10675,plain,
    ! [X0: a] :
      ( ~ pp(aa(state,bool,combc(state,state,bool,fequal(state),sK50),sK50))
      | pp(aa(a,bool,combc(a,state,bool,combk(fun(state,bool),a,q(sK49)),sK51(combk(fun(state,bool),a,combc(state,state,bool,fequal(state),sK50)),combk(fun(state,bool),a,q(sK49)))),X0)) ),
    inference(forward_demodulation,[],[f10672,f1318]) ).

tff(f10676,plain,
    ! [X0: a] : pp(aa(a,bool,combc(a,state,bool,combk(fun(state,bool),a,q(sK49)),sK51(combk(fun(state,bool),a,combc(state,state,bool,fequal(state),sK50)),combk(fun(state,bool),a,q(sK49)))),X0)),
    inference(forward_subsumption_resolution,[],[f10675,f1342]) ).

tff(f10677,plain,
    pp(aa(state,bool,q(sK49),sK51(combk(fun(state,bool),a,combc(state,state,bool,fequal(state),sK50)),combk(fun(state,bool),a,q(sK49))))),
    inference(forward_demodulation,[],[f10676,f1318]) ).

tff(f10678,plain,
    ( pp(fFalse)
    | ~ spl52_121 ),
    inference(forward_demodulation,[],[f10677,f5072]) ).

tff(f10679,plain,
    ( $false
    | ~ spl52_121 ),
    inference(forward_subsumption_resolution,[],[f10678,f390]) ).

tff(f10680,plain,
    ~ spl52_121,
    inference(avatar_contradiction_clause,[],[f10679]) ).

cnf(s468,plain,
    spl52_121,
    inference(sat_conversion,[],[f5075]) ).

cnf(s793,plain,
    ~ spl52_121,
    inference(sat_conversion,[],[f10680]) ).

cnf(s802,plain,
    $false,
    inference(rat,[],[s468,s793]) ).

tff(f10681,plain,
    $false,
    inference(avatar_sat_refutation,[],[s802]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWW510_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20  % Computer : n011.cluster.edu
% 0.10/0.20  % Model    : x86_64 x86_64
% 0.10/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20  % Memory   : 8046.5625MB
% 0.10/0.20  % OS       : Linux 6.8.0-71-generic
% 0.10/0.20  % CPULimit : 300
% 0.10/0.20  % WCLimit  : 300
% 0.10/0.20  % DateTime : Mon Sep 28 14:17:14 UTC 2026
% 0.10/0.20  % CPUTime  : 
% 0.10/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23  Running first-order model finding
% 0.10/0.23  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.19/0.74  % (3407208)Will run a generic schedule for satisfiability detection.
% 3.19/0.74  % (3407215)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3776061564:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.19/0.74  % (3407214)% WARNING: option uhcvi not known.
% 3.19/0.74  % (3407214)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1851313505:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.19/0.74  % (3407213)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1829795093_2999 on theBenchmark for (2999ds/0Mi)
% 3.19/0.74  % (3407216)dis+10_1_sil=32000:sp=arity:random_seed=3097474058:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.19/0.74  % (3407217)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2319352834:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.19/0.74  % (3407218)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2185408499:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.19/0.74  % (3407219)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=359692861:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.19/0.74  % Exception at run slice level
% 3.19/0.74  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.19/0.74  % (3407227)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4286080690:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.19/0.74  % Exception at run slice level
% 3.19/0.74  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.19/0.74  % (3407216)Instruction limit reached! 
% 3.19/0.74  % (3407216)------------------------------
% 3.19/0.74  % (3407216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.74  % (3407216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.74  % (3407216)CaDiCaL version: 2.1.3
% 3.19/0.74  % (3407216)Termination reason: Instruction limit
% 3.19/0.74  % (3407216)Termination phase: Saturation
% 3.19/0.74  % (3407216)Time elapsed: 0.052 s
% 3.19/0.74  % (3407216)Peak memory usage: 12 MB
% 3.19/0.74  % (3407216)Instructions burned: 104 (million)
% 3.19/0.74  % (3407229)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2687113267:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.19/0.74  % (3407217)Instruction limit reached! 
% 3.19/0.74  % (3407217)------------------------------
% 3.19/0.74  % (3407217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.74  % (3407217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.74  % (3407217)CaDiCaL version: 2.1.3
% 3.19/0.74  % (3407217)Termination reason: Instruction limit
% 3.19/0.74  % (3407217)Termination phase: Saturation
% 3.19/0.74  % (3407217)Time elapsed: 0.064 s
% 3.19/0.74  % (3407217)Peak memory usage: 12 MB
% 3.19/0.74  % (3407217)Instructions burned: 117 (million)
% 3.19/0.74  % (3407230)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1159624966:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.19/0.74  % (3407218)Instruction limit reached! 
% 3.19/0.74  % (3407218)------------------------------
% 3.19/0.74  % (3407218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.74  % (3407218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.74  % (3407218)CaDiCaL version: 2.1.3
% 3.19/0.74  % (3407218)Termination reason: Instruction limit
% 3.19/0.74  % (3407218)Termination phase: Saturation
% 3.19/0.74  % (3407218)Time elapsed: 0.076 s
% 3.19/0.74  % (3407218)Peak memory usage: 13 MB
% 3.19/0.74  % (3407218)Instructions burned: 132 (million)
% 3.19/0.74  % (3407232)ott-21_1_sil=16000:fs=off:random_seed=3988416353:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.19/0.74  % (3407219)Instruction limit reached! 
% 3.19/0.74  % (3407219)------------------------------
% 3.19/0.74  % (3407219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.74  % (3407219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.74  % (3407219)CaDiCaL version: 2.1.3
% 3.19/0.74  % (3407219)Termination reason: Instruction limit
% 3.19/0.74  % (3407219)Termination phase: Saturation
% 3.19/0.74  % (3407219)Time elapsed: 0.084 s
% 3.19/0.74  % (3407219)Peak memory usage: 12 MB
% 3.19/0.74  % (3407219)Instructions burned: 160 (million)
% 3.19/0.74  % (3407234)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=903145885:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.19/0.74  % (3407236)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=360217124:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 3.19/0.74  % Exception at run slice level
% 3.19/0.74  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.19/0.74  % (3407239)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4250567866:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 3.19/0.74  % (3407229)Instruction limit reached! 
% 3.19/0.74  % (3407229)------------------------------
% 3.19/0.74  % (3407229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.74  % (3407229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.74  % (3407229)CaDiCaL version: 2.1.3
% 3.19/0.74  % (3407229)Termination reason: Instruction limit
% 3.19/0.74  % (3407229)Termination phase: Saturation
% 3.19/0.74  % (3407229)Time elapsed: 0.077 s
% 3.19/0.74  % (3407229)Peak memory usage: 13 MB
% 3.19/0.74  % (3407229)Instructions burned: 132 (million)
% 3.19/0.74  % (3407241)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4096989679:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 3.19/0.74  % Exception at run slice level
% 3.19/0.74  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.19/0.74  % (3407232)Instruction limit reached! 
% 3.19/0.74  % (3407232)------------------------------
% 3.19/0.74  % (3407232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.74  % (3407232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.74  % (3407232)CaDiCaL version: 2.1.3
% 3.19/0.74  % (3407232)Termination reason: Instruction limit
% 3.19/0.74  % (3407232)Termination phase: Saturation
% 3.19/0.74  % (3407232)Time elapsed: 0.096 s
% 3.19/0.74  % (3407232)Peak memory usage: 13 MB
% 3.19/0.74  % (3407232)Instructions burned: 182 (million)
% 3.19/0.74  % (3407243)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2931674678:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 3.19/0.74  % (3407244)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1320649924:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 3.19/0.74  % (3407234)Instruction limit reached! 
% 3.19/0.74  % (3407234)------------------------------
% 3.19/0.74  % (3407234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.74  % (3407234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.74  % (3407234)CaDiCaL version: 2.1.3
% 3.19/0.74  % (3407234)Termination reason: Instruction limit
% 3.19/0.74  % (3407234)Termination phase: Saturation
% 3.19/0.74  % (3407234)Time elapsed: 0.286 s
% 3.19/0.74  % (3407234)Peak memory usage: 13 MB
% 3.19/0.74  % (3407234)Instructions burned: 478 (million)
% 3.19/0.74  % (3407247)fmb+10_1_sil=64000:random_seed=2868941199:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 3.19/0.74  % (3407230)Instruction limit reached! 
% 3.19/0.74  % (3407230)------------------------------
% 3.19/0.74  % (3407230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.74  % (3407230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.74  % (3407230)CaDiCaL version: 2.1.3
% 3.19/0.74  % (3407230)Termination reason: Instruction limit
% 3.19/0.74  % (3407230)Termination phase: Saturation
% 3.19/0.74  % (3407230)Time elapsed: 0.334 s
% 3.19/0.74  % (3407230)Peak memory usage: 15 MB
% 3.19/0.74  % (3407230)Instructions burned: 686 (million)
% 3.19/0.74  % (3407247)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.19/0.74  % Exception at run slice level
% 3.19/0.74  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.19/0.74  % (3407249)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2733856140:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 3.19/0.74  % (3407251)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=697364277:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 3.19/0.74  % Exception at run slice level
% 3.19/0.74  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.19/0.74  % Exception at run slice level
% 3.19/0.74  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.19/0.74  % (3407214) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3407208-3407214"...
% 3.19/0.74  % (3407214)...printing done.
% 3.19/0.74  % (3407214)Refutation found. Thanks to Tanya!
% 3.19/0.74  % SZS status Theorem for theBenchmark
% 3.19/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 3.19/0.74  % (3407214)------------------------------
% 3.19/0.74  % (3407214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.74  % (3407214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.74  % (3407214)CaDiCaL version: 2.1.3
% 3.19/0.74  % (3407214)Termination reason: Refutation
% 3.19/0.74  % (3407214)Time elapsed: 0.446 s
% 3.19/0.74  % (3407214)Peak memory usage: 18 MB
% 3.19/0.74  % (3407214)Instructions burned: 764 (million)
% 3.19/0.74  % (3407208)Success in time 0.496 s
% 3.19/0.74  % Vampire exiting
%------------------------------------------------------------------------------