TSTP Solution File: SWW470_5 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWW470_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n008.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 : Mon Jun 24 18:52:04 EDT 2024

% Result   : Theorem 1.76s 0.69s
% Output   : Refutation 1.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   48 (  33 unt;   0 typ;   0 def)
%            Number of atoms       :   71 (  22 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   41 (  18   ~;  11   |;   5   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-6 aty)
%            Number of functors    :   80 (  80 usr;  11 con; 0-7 aty)
%            Number of variables   :   95 (  91   !;   4   ?;  95   :)

% 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(fun(X2,X0),fun(X2,X1)) ) ).

tff(func_def_1,type,
    combc: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(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(fun(X0,fun(X1,X2)),fun(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,
    p: fun(a,fun(state,bool)) ).

tff(func_def_27,type,
    b: fun(state,bool) ).

tff(func_def_28,type,
    c: com ).

tff(func_def_29,type,
    sK3: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_30,type,
    sK4: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_31,type,
    sK5: 
      !>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).

tff(func_def_32,type,
    sK6: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_33,type,
    sK7: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_34,type,
    sK8: 
      !>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).

tff(func_def_35,type,
    sK9: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_36,type,
    sK10: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_37,type,
    sK11: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_38,type,
    sK12: 
      !>[X0: $tType] : ( fun(X0,bool) > X0 ) ).

tff(func_def_39,type,
    sK13: 
      !>[X0: $tType] : ( hoare_28830079triple(X0) > fun(X0,fun(state,bool)) ) ).

tff(func_def_40,type,
    sK14: 
      !>[X0: $tType] : ( hoare_28830079triple(X0) > com ) ).

tff(func_def_41,type,
    sK15: 
      !>[X0: $tType] : ( hoare_28830079triple(X0) > fun(X0,fun(state,bool)) ) ).

tff(func_def_42,type,
    sK16: 
      !>[X0: $tType] : ( fun(fun(X0,bool),bool) > X0 ) ).

tff(func_def_43,type,
    sK17: 
      !>[X0: $tType] : ( fun(fun(X0,bool),bool) > fun(X0,bool) ) ).

tff(func_def_44,type,
    sK18: 
      !>[X0: $tType] : ( fun(fun(X0,bool),bool) > X0 ) ).

tff(func_def_45,type,
    sK19: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * fun(X0,bool) ) > X0 ) ).

tff(func_def_46,type,
    sK20: 
      !>[X0: $tType] : ( fun(fun(X0,bool),bool) > X0 ) ).

tff(func_def_47,type,
    sK21: 
      !>[X0: $tType] : ( fun(fun(X0,bool),bool) > fun(X0,bool) ) ).

tff(func_def_48,type,
    sK22: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).

tff(func_def_49,type,
    sK23: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > X0 ) ).

tff(func_def_50,type,
    sK24: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > fun(X0,bool) ) ).

tff(func_def_51,type,
    sK25: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > fun(X0,bool) ) ).

tff(func_def_52,type,
    sK26: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_53,type,
    sK27: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).

tff(func_def_54,type,
    sK28: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > X0 ) ).

tff(func_def_55,type,
    sK29: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_56,type,
    sK30: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_57,type,
    sK31: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) * fun(X0,fun(X0,X0)) ) > fun(X0,bool) ) ).

tff(func_def_58,type,
    sK32: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_59,type,
    sK33: 
      !>[X0: $tType,X1: $tType] : ( ( X1 * fun(X0,fun(X1,X1)) * fun(X0,bool) ) > X1 ) ).

tff(func_def_60,type,
    sK34: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) * X0 * fun(X0,bool) ) > fun(X0,bool) ) ).

tff(func_def_61,type,
    sK35: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) * X0 * fun(X0,fun(X0,X0)) ) > X0 ) ).

tff(func_def_62,type,
    sK36: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) * X0 * fun(X0,fun(X0,X0)) ) > fun(X0,bool) ) ).

tff(func_def_63,type,
    sK37: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(hoare_28830079triple(X0),bool) * fun(X0,fun(state,bool)) ) > X0 ) ).

tff(func_def_64,type,
    sK38: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(hoare_28830079triple(X0),bool) * fun(X0,fun(state,bool)) ) > state ) ).

tff(func_def_65,type,
    sK39: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(hoare_28830079triple(X0),bool) * fun(X0,fun(state,bool)) ) > X0 ) ).

tff(func_def_66,type,
    sK40: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(hoare_28830079triple(X0),bool) * fun(X0,fun(state,bool)) ) > state ) ).

tff(func_def_67,type,
    sK41: 
      !>[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_68,type,
    sK42: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > X0 ) ).

tff(func_def_69,type,
    sK43: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > state ) ).

tff(func_def_70,type,
    sK44: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > X0 ) ).

tff(func_def_71,type,
    sK45: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) ) > state ) ).

tff(func_def_72,type,
    sK46: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(X0,X0)) * X0 * fun(X1,bool) ) > X1 ) ).

tff(func_def_73,type,
    sK47: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(X0,X0)) * X0 * fun(X1,bool) ) > fun(X1,bool) ) ).

tff(func_def_74,type,
    sK48: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(X0,X0)) * X0 * fun(X1,bool) ) > X0 ) ).

tff(func_def_75,type,
    sK49: 
      !>[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_76,type,
    sK50: 
      !>[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_77,type,
    sK51: 
      !>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * fun(X0,fun(state,bool)) * fun(X0,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,
    sP0: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) * X0 * fun(X0,bool) ) > $o ) ).

tff(pred_def_10,type,
    sP1: 
      !>[X0: $tType] : ( ( fun(X0,bool) * X0 * fun(X0,bool) * X0 ) > $o ) ).

tff(pred_def_11,type,
    sP2: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(X0,X0)) * X0 * fun(X1,bool) ) > $o ) ).

tff(f1568,plain,
    $false,
    inference(global_subsumption,[],[f435,f1567]) ).

tff(f1567,plain,
    pp(fFalse),
    inference(forward_demodulation,[],[f1566,f778]) ).

tff(f778,plain,
    ! [X0: $tType,X1: X0] : ( fFalse = aa(X0,bool,bot_bot(fun(X0,bool)),X1) ),
    inference(resolution,[],[f687,f761]) ).

tff(f761,plain,
    ! [X0: bool] :
      ( pp(X0)
      | ( fFalse = X0 ) ),
    inference(superposition,[],[f439,f443]) ).

tff(f443,plain,
    ! [X0: bool] :
      ( ( fTrue = X0 )
      | ( fFalse = X0 ) ),
    inference(cnf_transformation,[],[f132]) ).

tff(f132,plain,
    ! [X0: bool] :
      ( ( fFalse = X0 )
      | ( fTrue = X0 ) ),
    inference(rectify,[],[f120]) ).

tff(f120,axiom,
    ! [X68: bool] :
      ( ( fFalse = X68 )
      | ( fTrue = X68 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f439,plain,
    pp(fTrue),
    inference(cnf_transformation,[],[f106]) ).

tff(f106,axiom,
    pp(fTrue),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f687,plain,
    ! [X0: $tType,X1: X0] : ~ pp(aa(X0,bool,bot_bot(fun(X0,bool)),X1)),
    inference(global_subsumption,[],[f452,f482]) ).

tff(f482,plain,
    ! [X0: $tType,X1: X0] :
      ( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),bot_bot(fun(X0,bool))))
      | ~ pp(aa(X0,bool,bot_bot(fun(X0,bool)),X1)) ),
    inference(cnf_transformation,[],[f341]) ).

tff(f341,plain,
    ! [X0: $tType,X1: X0] :
      ( ( pp(aa(X0,bool,bot_bot(fun(X0,bool)),X1))
        | ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),bot_bot(fun(X0,bool)))) )
      & ( pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),bot_bot(fun(X0,bool))))
        | ~ pp(aa(X0,bool,bot_bot(fun(X0,bool)),X1)) ) ),
    inference(nnf_transformation,[],[f165]) ).

tff(f165,plain,
    ! [X0: $tType,X1: X0] :
      ( pp(aa(X0,bool,bot_bot(fun(X0,bool)),X1))
    <=> pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),bot_bot(fun(X0,bool)))) ),
    inference(rectify,[],[f66]) ).

tff(f66,axiom,
    ! [X1: $tType,X32: X1] :
      ( pp(aa(X1,bool,bot_bot(fun(X1,bool)),X32))
    <=> pp(aa(fun(X1,bool),bool,aa(X1,fun(fun(X1,bool),bool),member(X1),X32),bot_bot(fun(X1,bool)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f452,plain,
    ! [X0: $tType,X1: X0] : ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),bot_bot(fun(X0,bool)))),
    inference(cnf_transformation,[],[f141]) ).

tff(f141,plain,
    ! [X0: $tType,X1: X0] : ~ pp(aa(fun(X0,bool),bool,aa(X0,fun(fun(X0,bool),bool),member(X0),X1),bot_bot(fun(X0,bool)))),
    inference(rectify,[],[f18]) ).

tff(f18,axiom,
    ! [X1: $tType,X18: X1] : ~ pp(aa(fun(X1,bool),bool,aa(X1,fun(fun(X1,bool),bool),member(X1),X18),bot_bot(fun(X1,bool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f1566,plain,
    pp(aa(state,bool,bot_bot(fun(state,bool)),sK38(a,aa(fun(state,bool),fun(a,fun(state,bool)),aa(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(a,fun(state,bool))),combc(a,fun(state,bool),fun(state,bool)),aa(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a,combs(state,bool,bool)),aa(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool))),combb(fun(state,bool),fun(state,fun(bool,bool)),a,combb(bool,fun(bool,bool),state,fconj)),p))),aa(fun(state,bool),fun(state,bool),combb(bool,bool,state,fNot),b)),c,g,combk(fun(state,bool),a,bot_bot(fun(state,bool)))))),
    inference(forward_demodulation,[],[f1543,f550]) ).

tff(f550,plain,
    ! [X1: $tType,X0: $tType,X2: X0,X3: X1] : ( aa(X0,X1,combk(X1,X0,X3),X2) = X3 ),
    inference(cnf_transformation,[],[f205]) ).

tff(f205,plain,
    ! [X0: $tType,X1: $tType,X2: X0,X3: X1] : ( aa(X0,X1,combk(X1,X0,X3),X2) = X3 ),
    inference(rectify,[],[f111]) ).

tff(f111,axiom,
    ! [X1: $tType,X0: $tType,X70: X1,X68: X0] : ( aa(X1,X0,combk(X0,X1,X68),X70) = X68 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f1543,plain,
    pp(aa(state,bool,aa(a,fun(state,bool),combk(fun(state,bool),a,bot_bot(fun(state,bool))),sK37(a,aa(fun(state,bool),fun(a,fun(state,bool)),aa(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(a,fun(state,bool))),combc(a,fun(state,bool),fun(state,bool)),aa(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a,combs(state,bool,bool)),aa(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool))),combb(fun(state,bool),fun(state,fun(bool,bool)),a,combb(bool,fun(bool,bool),state,fconj)),p))),aa(fun(state,bool),fun(state,bool),combb(bool,bool,state,fNot),b)),c,g,combk(fun(state,bool),a,bot_bot(fun(state,bool))))),sK38(a,aa(fun(state,bool),fun(a,fun(state,bool)),aa(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(a,fun(state,bool))),combc(a,fun(state,bool),fun(state,bool)),aa(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a,combs(state,bool,bool)),aa(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool))),combb(fun(state,bool),fun(state,fun(bool,bool)),a,combb(bool,fun(bool,bool),state,fconj)),p))),aa(fun(state,bool),fun(state,bool),combb(bool,bool,state,fNot),b)),c,g,combk(fun(state,bool),a,bot_bot(fun(state,bool)))))),
    inference(resolution,[],[f725,f843]) ).

tff(f843,plain,
    ~ hoare_992312373derivs(a,g,aa(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),fequal(hoare_28830079triple(a)),hoare_1841697145triple(a,combk(fun(state,bool),a,bot_bot(fun(state,bool))),c,aa(fun(state,bool),fun(a,fun(state,bool)),aa(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(a,fun(state,bool))),combc(a,fun(state,bool),fun(state,bool)),aa(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a,combs(state,bool,bool)),aa(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool))),combb(fun(state,bool),fun(state,fun(bool,bool)),a,combb(bool,fun(bool,bool),state,fconj)),p))),aa(fun(state,bool),fun(state,bool),combb(bool,bool,state,fNot),b))))),
    inference(backward_demodulation,[],[f685,f840]) ).

tff(f840,plain,
    ! [X0: $tType] : ( bot_bot(fun(X0,bool)) = combk(bool,X0,fFalse) ),
    inference(superposition,[],[f441,f449]) ).

tff(f449,plain,
    ! [X0: $tType,X1: fun(X0,bool)] : ( collect(X0,X1) = X1 ),
    inference(cnf_transformation,[],[f138]) ).

tff(f138,plain,
    ! [X0: $tType,X1: fun(X0,bool)] : ( collect(X0,X1) = X1 ),
    inference(rectify,[],[f78]) ).

tff(f78,axiom,
    ! [X1: $tType,X16: fun(X1,bool)] : ( collect(X1,X16) = X16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f441,plain,
    ! [X0: $tType] : ( bot_bot(fun(X0,bool)) = collect(X0,combk(bool,X0,fFalse)) ),
    inference(cnf_transformation,[],[f130]) ).

tff(f130,plain,
    ! [X0: $tType] : ( bot_bot(fun(X0,bool)) = collect(X0,combk(bool,X0,fFalse)) ),
    inference(rectify,[],[f23]) ).

tff(f23,axiom,
    ! [X1: $tType] : ( bot_bot(fun(X1,bool)) = collect(X1,combk(bool,X1,fFalse)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f685,plain,
    ~ hoare_992312373derivs(a,g,aa(hoare_28830079triple(a),fun(hoare_28830079triple(a),bool),fequal(hoare_28830079triple(a)),hoare_1841697145triple(a,combk(fun(state,bool),a,combk(bool,state,fFalse)),c,aa(fun(state,bool),fun(a,fun(state,bool)),aa(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(a,fun(state,bool))),combc(a,fun(state,bool),fun(state,bool)),aa(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a,combs(state,bool,bool)),aa(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool))),combb(fun(state,bool),fun(state,fun(bool,bool)),a,combb(bool,fun(bool,bool),state,fconj)),p))),aa(fun(state,bool),fun(state,bool),combb(bool,bool,state,fNot),b))))),
    inference(backward_demodulation,[],[f434,f683]) ).

tff(f683,plain,
    ! [X0: $tType,X1: X0] : ( aa(X0,fun(X0,bool),fequal(X0),X1) = aa(fun(X0,bool),fun(X0,bool),aa(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),bot_bot(fun(X0,bool))) ),
    inference(forward_demodulation,[],[f456,f449]) ).

tff(f456,plain,
    ! [X0: $tType,X1: X0] : ( aa(fun(X0,bool),fun(X0,bool),aa(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),bot_bot(fun(X0,bool))) = collect(X0,aa(X0,fun(X0,bool),fequal(X0),X1)) ),
    inference(cnf_transformation,[],[f145]) ).

tff(f145,plain,
    ! [X0: $tType,X1: X0] : ( aa(fun(X0,bool),fun(X0,bool),aa(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),bot_bot(fun(X0,bool))) = collect(X0,aa(X0,fun(X0,bool),fequal(X0),X1)) ),
    inference(rectify,[],[f6]) ).

tff(f6,axiom,
    ! [X1: $tType,X18: X1] : ( collect(X1,aa(X1,fun(X1,bool),fequal(X1),X18)) = aa(fun(X1,bool),fun(X1,bool),aa(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X18),bot_bot(fun(X1,bool))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f434,plain,
    ~ 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,combk(bool,state,fFalse)),c,aa(fun(state,bool),fun(a,fun(state,bool)),aa(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(a,fun(state,bool))),combc(a,fun(state,bool),fun(state,bool)),aa(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a,combs(state,bool,bool)),aa(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool))),combb(fun(state,bool),fun(state,fun(bool,bool)),a,combb(bool,fun(bool,bool),state,fconj)),p))),aa(fun(state,bool),fun(state,bool),combb(bool,bool,state,fNot),b)))),bot_bot(fun(hoare_28830079triple(a),bool)))),
    inference(cnf_transformation,[],[f128]) ).

tff(f128,plain,
    ~ 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,combk(bool,state,fFalse)),c,aa(fun(state,bool),fun(a,fun(state,bool)),aa(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(a,fun(state,bool))),combc(a,fun(state,bool),fun(state,bool)),aa(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a,combs(state,bool,bool)),aa(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool))),combb(fun(state,bool),fun(state,fun(bool,bool)),a,combb(bool,fun(bool,bool),state,fconj)),p))),aa(fun(state,bool),fun(state,bool),combb(bool,bool,state,fNot),b)))),bot_bot(fun(hoare_28830079triple(a),bool)))),
    inference(flattening,[],[f127]) ).

tff(f127,negated_conjecture,
    ~ 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,combk(bool,state,fFalse)),c,aa(fun(state,bool),fun(a,fun(state,bool)),aa(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(a,fun(state,bool))),combc(a,fun(state,bool),fun(state,bool)),aa(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a,combs(state,bool,bool)),aa(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool))),combb(fun(state,bool),fun(state,fun(bool,bool)),a,combb(bool,fun(bool,bool),state,fconj)),p))),aa(fun(state,bool),fun(state,bool),combb(bool,bool,state,fNot),b)))),bot_bot(fun(hoare_28830079triple(a),bool)))),
    inference(negated_conjecture,[],[f126]) ).

tff(f126,conjecture,
    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,combk(bool,state,fFalse)),c,aa(fun(state,bool),fun(a,fun(state,bool)),aa(fun(a,fun(fun(state,bool),fun(state,bool))),fun(fun(state,bool),fun(a,fun(state,bool))),combc(a,fun(state,bool),fun(state,bool)),aa(fun(a,fun(state,fun(bool,bool))),fun(a,fun(fun(state,bool),fun(state,bool))),combb(fun(state,fun(bool,bool)),fun(fun(state,bool),fun(state,bool)),a,combs(state,bool,bool)),aa(fun(a,fun(state,bool)),fun(a,fun(state,fun(bool,bool))),combb(fun(state,bool),fun(state,fun(bool,bool)),a,combb(bool,fun(bool,bool),state,fconj)),p))),aa(fun(state,bool),fun(state,bool),combb(bool,bool,state,fNot),b)))),bot_bot(fun(hoare_28830079triple(a),bool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f725,plain,
    ! [X0: $tType,X2: com,X3: fun(hoare_28830079triple(X0),bool),X1: fun(X0,fun(state,bool)),X4: fun(X0,fun(state,bool))] :
      ( hoare_992312373derivs(X0,X3,aa(hoare_28830079triple(X0),fun(hoare_28830079triple(X0),bool),fequal(hoare_28830079triple(X0)),hoare_1841697145triple(X0,X4,X2,X1)))
      | pp(aa(state,bool,aa(X0,fun(state,bool),X4,sK37(X0,X1,X2,X3,X4)),sK38(X0,X1,X2,X3,X4))) ),
    inference(forward_demodulation,[],[f600,f683]) ).

tff(f600,plain,
    ! [X0: $tType,X2: com,X3: fun(hoare_28830079triple(X0),bool),X1: fun(X0,fun(state,bool)),X4: fun(X0,fun(state,bool))] :
      ( hoare_992312373derivs(X0,X3,aa(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool),aa(hoare_28830079triple(X0),fun(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool)),insert(hoare_28830079triple(X0)),hoare_1841697145triple(X0,X4,X2,X1)),bot_bot(fun(hoare_28830079triple(X0),bool))))
      | pp(aa(state,bool,aa(X0,fun(state,bool),X4,sK37(X0,X1,X2,X3,X4)),sK38(X0,X1,X2,X3,X4))) ),
    inference(cnf_transformation,[],[f413]) ).

tff(f413,plain,
    ! [X0: $tType,X1: fun(X0,fun(state,bool)),X2: com,X3: fun(hoare_28830079triple(X0),bool),X4: fun(X0,fun(state,bool))] :
      ( hoare_992312373derivs(X0,X3,aa(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool),aa(hoare_28830079triple(X0),fun(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool)),insert(hoare_28830079triple(X0)),hoare_1841697145triple(X0,X4,X2,X1)),bot_bot(fun(hoare_28830079triple(X0),bool))))
      | ( ~ hoare_992312373derivs(X0,X3,aa(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool),aa(hoare_28830079triple(X0),fun(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool)),insert(hoare_28830079triple(X0)),hoare_1841697145triple(X0,combk(fun(state,bool),X0,aa(state,fun(state,bool),aa(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),sK38(X0,X1,X2,X3,X4))),X2,combk(fun(state,bool),X0,aa(X0,fun(state,bool),X1,sK37(X0,X1,X2,X3,X4))))),bot_bot(fun(hoare_28830079triple(X0),bool))))
        & pp(aa(state,bool,aa(X0,fun(state,bool),X4,sK37(X0,X1,X2,X3,X4)),sK38(X0,X1,X2,X3,X4))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38])],[f310,f412]) ).

tff(f412,plain,
    ! [X0: $tType,X1: fun(X0,fun(state,bool)),X2: com,X3: fun(hoare_28830079triple(X0),bool),X4: fun(X0,fun(state,bool))] :
      ( ? [X5: X0,X6: state] :
          ( ~ hoare_992312373derivs(X0,X3,aa(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool),aa(hoare_28830079triple(X0),fun(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool)),insert(hoare_28830079triple(X0)),hoare_1841697145triple(X0,combk(fun(state,bool),X0,aa(state,fun(state,bool),aa(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),X6)),X2,combk(fun(state,bool),X0,aa(X0,fun(state,bool),X1,X5)))),bot_bot(fun(hoare_28830079triple(X0),bool))))
          & pp(aa(state,bool,aa(X0,fun(state,bool),X4,X5),X6)) )
     => ( ~ hoare_992312373derivs(X0,X3,aa(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool),aa(hoare_28830079triple(X0),fun(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool)),insert(hoare_28830079triple(X0)),hoare_1841697145triple(X0,combk(fun(state,bool),X0,aa(state,fun(state,bool),aa(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),sK38(X0,X1,X2,X3,X4))),X2,combk(fun(state,bool),X0,aa(X0,fun(state,bool),X1,sK37(X0,X1,X2,X3,X4))))),bot_bot(fun(hoare_28830079triple(X0),bool))))
        & pp(aa(state,bool,aa(X0,fun(state,bool),X4,sK37(X0,X1,X2,X3,X4)),sK38(X0,X1,X2,X3,X4))) ) ),
    introduced(choice_axiom,[]) ).

tff(f310,plain,
    ! [X0: $tType,X1: fun(X0,fun(state,bool)),X2: com,X3: fun(hoare_28830079triple(X0),bool),X4: fun(X0,fun(state,bool))] :
      ( hoare_992312373derivs(X0,X3,aa(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool),aa(hoare_28830079triple(X0),fun(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool)),insert(hoare_28830079triple(X0)),hoare_1841697145triple(X0,X4,X2,X1)),bot_bot(fun(hoare_28830079triple(X0),bool))))
      | ? [X5: X0,X6: state] :
          ( ~ hoare_992312373derivs(X0,X3,aa(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool),aa(hoare_28830079triple(X0),fun(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool)),insert(hoare_28830079triple(X0)),hoare_1841697145triple(X0,combk(fun(state,bool),X0,aa(state,fun(state,bool),aa(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),X6)),X2,combk(fun(state,bool),X0,aa(X0,fun(state,bool),X1,X5)))),bot_bot(fun(hoare_28830079triple(X0),bool))))
          & pp(aa(state,bool,aa(X0,fun(state,bool),X4,X5),X6)) ) ),
    inference(ennf_transformation,[],[f233]) ).

tff(f233,plain,
    ! [X0: $tType,X1: fun(X0,fun(state,bool)),X2: com,X3: fun(hoare_28830079triple(X0),bool),X4: fun(X0,fun(state,bool))] :
      ( ! [X5: X0,X6: state] :
          ( pp(aa(state,bool,aa(X0,fun(state,bool),X4,X5),X6))
         => hoare_992312373derivs(X0,X3,aa(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool),aa(hoare_28830079triple(X0),fun(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool)),insert(hoare_28830079triple(X0)),hoare_1841697145triple(X0,combk(fun(state,bool),X0,aa(state,fun(state,bool),aa(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),X6)),X2,combk(fun(state,bool),X0,aa(X0,fun(state,bool),X1,X5)))),bot_bot(fun(hoare_28830079triple(X0),bool)))) )
     => hoare_992312373derivs(X0,X3,aa(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool),aa(hoare_28830079triple(X0),fun(fun(hoare_28830079triple(X0),bool),fun(hoare_28830079triple(X0),bool)),insert(hoare_28830079triple(X0)),hoare_1841697145triple(X0,X4,X2,X1)),bot_bot(fun(hoare_28830079triple(X0),bool)))) ),
    inference(rectify,[],[f8]) ).

tff(f8,axiom,
    ! [X1: $tType,X14: fun(X1,fun(state,bool)),X15: com,X10: fun(hoare_28830079triple(X1),bool),X16: fun(X1,fun(state,bool))] :
      ( ! [X19: X1,X20: state] :
          ( pp(aa(state,bool,aa(X1,fun(state,bool),X16,X19),X20))
         => hoare_992312373derivs(X1,X10,aa(fun(hoare_28830079triple(X1),bool),fun(hoare_28830079triple(X1),bool),aa(hoare_28830079triple(X1),fun(fun(hoare_28830079triple(X1),bool),fun(hoare_28830079triple(X1),bool)),insert(hoare_28830079triple(X1)),hoare_1841697145triple(X1,combk(fun(state,bool),X1,aa(state,fun(state,bool),aa(fun(state,fun(state,bool)),fun(state,fun(state,bool)),combc(state,state,bool),fequal(state)),X20)),X15,combk(fun(state,bool),X1,aa(X1,fun(state,bool),X14,X19)))),bot_bot(fun(hoare_28830079triple(X1),bool)))) )
     => hoare_992312373derivs(X1,X10,aa(fun(hoare_28830079triple(X1),bool),fun(hoare_28830079triple(X1),bool),aa(hoare_28830079triple(X1),fun(fun(hoare_28830079triple(X1),bool),fun(hoare_28830079triple(X1),bool)),insert(hoare_28830079triple(X1)),hoare_1841697145triple(X1,X16,X15,X14)),bot_bot(fun(hoare_28830079triple(X1),bool)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

tff(f435,plain,
    ~ pp(fFalse),
    inference(cnf_transformation,[],[f119]) ).

tff(f119,axiom,
    ~ pp(fFalse),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : SWW470_5 : TPTP v8.2.0. Released v6.0.0.
% 0.03/0.14  % Command    : run_vampire %s %d SAT
% 0.14/0.38  % Computer : n008.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8042.1875MB
% 0.14/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.39  % CPULimit   : 300
% 0.14/0.39  % WCLimit    : 300
% 0.14/0.39  % DateTime   : Wed Jun 19 06:34:39 EDT 2024
% 0.14/0.39  % CPUTime    : 
% 0.14/0.40  This is a TF1_THM_EQU_NAR problem
% 0.14/0.40  Running first-order model finding
% 0.14/0.40  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.27/0.48  % (11637)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.48  % (11640)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.27/0.48  % (11637)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.48  % (11643)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.27/0.48  % (11637)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.48  % (11639)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.27/0.48  % (11637)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.48  % (11638)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.27/0.48  % (11637)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.48  % (11642)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.27/0.48  % (11637)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.48  % (11644)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.27/0.48  % (11637)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.48  % (11641)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.27/0.49  % (11641)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.27/0.49  % (11642)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.27/0.49  % (11644)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.27/0.49  % (11641)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.27/0.49  % Exception at run slice level% Exception at run slice level
% 0.27/0.49  
% 0.27/0.49  User error: User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructsFinite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.27/0.49  
% 0.27/0.50  % Exception at run slice level
% 0.27/0.50  User error: Immediate (shared) subterms of  term/literal aa(X0,hoare_376461865e_case(X1,X2),X3,X4) have different types/not well-typed!
% 0.27/0.50  % Exception at run slice level
% 0.27/0.50  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.00/0.54  % (11642)Instruction limit reached!
% 1.00/0.54  % (11642)------------------------------
% 1.00/0.54  % (11642)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.00/0.54  % (11642)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.00/0.54  % (11642)Termination reason: Time limit
% 1.00/0.54  % (11642)Termination phase: Saturation
% 1.00/0.54  
% 1.00/0.54  % (11642)Memory used [KB]: 1640
% 1.00/0.54  % (11642)Time elapsed: 0.063 s
% 1.00/0.54  % (11642)Instructions burned: 104 (million)
% 1.00/0.55  % (11644)Instruction limit reached!
% 1.00/0.55  % (11644)------------------------------
% 1.00/0.55  % (11644)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.00/0.55  % (11644)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.00/0.55  % (11644)Termination reason: Time limit
% 1.00/0.55  % (11644)Termination phase: Saturation
% 1.00/0.55  
% 1.00/0.55  % (11644)Memory used [KB]: 2519
% 1.00/0.55  % (11644)Time elapsed: 0.069 s
% 1.00/0.55  % (11644)Instructions burned: 115 (million)
% 1.00/0.56  % (11637)Running in auto input_syntax mode. Trying TPTP
% 1.00/0.56  % (11648)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2999ds/900Mi)
% 1.00/0.56  % (11637)Running in auto input_syntax mode. Trying TPTP
% 1.00/0.56  % (11646)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2999ds/175Mi)
% 1.00/0.56  % (11637)Running in auto input_syntax mode. Trying TPTP
% 1.00/0.56  % (11645)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 1.00/0.56  % (11645)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.15/0.56  % (11637)Running in auto input_syntax mode. Trying TPTP
% 1.15/0.56  % (11647)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2999ds/270Mi)
% 1.15/0.61  % (11637)Running in auto input_syntax mode. Trying TPTP
% 1.15/0.61  % (11649)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2998ds/7859Mi)
% 1.15/0.61  % (11637)Running in auto input_syntax mode. Trying TPTP
% 1.15/0.61  % (11650)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2998ds/2145Mi)
% 1.15/0.61  % Exception at run slice level
% 1.15/0.61  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.60/0.65  % (11646)Instruction limit reached!
% 1.60/0.65  % (11646)------------------------------
% 1.60/0.65  % (11646)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.60/0.65  % (11646)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.60/0.65  % (11646)Termination reason: Time limit
% 1.60/0.65  % (11646)Termination phase: Saturation
% 1.60/0.65  
% 1.60/0.65  % (11646)Memory used [KB]: 2651
% 1.60/0.65  % (11646)Time elapsed: 0.091 s
% 1.60/0.65  % (11646)Instructions burned: 176 (million)
% 1.76/0.67  % (11637)Running in auto input_syntax mode. Trying TPTP
% 1.76/0.67  % (11651)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2998ds/1187Mi)
% 1.76/0.67  % (11651)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 1.76/0.68  % (11650)First to succeed.
% 1.76/0.69  % (11650)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11637"
% 1.76/0.69  % (11637)Running in auto input_syntax mode. Trying TPTP
% 1.76/0.69  % (11650)Refutation found. Thanks to Tanya!
% 1.76/0.69  % SZS status Theorem for theBenchmark
% 1.76/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 1.76/0.69  % (11650)------------------------------
% 1.76/0.69  % (11650)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.76/0.69  % (11650)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.76/0.69  % (11650)Termination reason: Refutation
% 1.76/0.69  
% 1.76/0.69  % (11650)Memory used [KB]: 2102
% 1.76/0.69  % (11650)Time elapsed: 0.076 s
% 1.76/0.69  % (11650)Instructions burned: 136 (million)
% 1.76/0.69  % (11650)------------------------------
% 1.76/0.69  % (11650)------------------------------
% 1.76/0.69  % (11637)Success in time 0.25 s
%------------------------------------------------------------------------------