TSTP Solution File: DAT176^1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : DAT176^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n024.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 : Sun May  5 05:06:09 EDT 2024

% Result   : Theorem 37.52s 5.76s
% Output   : Refutation 37.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :  111
% Syntax   : Number of formulae    :  162 (  11 unt; 102 typ;   0 def)
%            Number of atoms       :  578 (  67 equ;   0 cnn)
%            Maximal formula atoms :    3 (   9 avg)
%            Number of connectives :  126 (  60   ~;  52   |;   1   &;   0   @)
%                                         (   4 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  169 ( 168   >;   1   *;   0   +;   0  <<)
%            Number of symbols     :  109 ( 106 usr;   7 con; 0-6 aty)
%            Number of variables   :  152 (   0   ^  55   !;   0   ?; 152   :)
%                                         (  97  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    itself: $tType > $tType ).

thf(type_def_6,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(type_def_7,type,
    coinductive_llist: $tType > $tType ).

thf(type_def_8,type,
    set: $tType > $tType ).

thf(type_def_9,type,
    a: $tType ).

thf(func_def_0,type,
    coinductive_llist: $tType > $tType ).

thf(func_def_1,type,
    set: $tType > $tType ).

thf(func_def_2,type,
    itself: $tType > $tType ).

thf(func_def_3,type,
    a: $tType ).

thf(func_def_4,type,
    bounded_lattice: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_5,type,
    type: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_6,type,
    minus: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_7,type,
    uminus: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_8,type,
    bot: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_9,type,
    top: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_10,type,
    group_add: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_11,type,
    lattice: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_12,type,
    ab_group_add: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_13,type,
    boolean_algebra: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_14,type,
    distrib_lattice: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_15,type,
    semilattice_inf: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_16,type,
    semilattice_sup: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_17,type,
    bounded_lattice_bot: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_18,type,
    bounded_lattice_top: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_19,type,
    cancel146912293up_add: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_20,type,
    bounde1561333602nf_top: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_21,type,
    bounde1808546759up_bot: 
      !>[X0: $tType] : ( itself(X0) > $o ) ).

thf(func_def_22,type,
    coinductive_LCons: 
      !>[X0: $tType] : ( X0 > coinductive_llist(X0) > coinductive_llist(X0) ) ).

thf(func_def_23,type,
    coinductive_LNil: 
      !>[X0: $tType] : coinductive_llist(X0) ).

thf(func_def_24,type,
    minus_minus: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_25,type,
    uminus_uminus: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_26,type,
    lList2435255213lllsts: 
      !>[X0: $tType] : ( set(X0) > set(coinductive_llist(X0)) ) ).

thf(func_def_27,type,
    lList2236698231inlsts: 
      !>[X0: $tType] : ( set(X0) > set(coinductive_llist(X0)) ) ).

thf(func_def_28,type,
    lList21916056377ts_rec: 
      !>[X0: $tType,X1: $tType] : ( X0 > ( X1 > coinductive_llist(X1) > X0 > X0 ) > coinductive_llist(X1) > X0 ) ).

thf(func_def_29,type,
    lList22096119349pslsts: 
      !>[X0: $tType] : ( set(X0) > set(coinductive_llist(X0)) ) ).

thf(func_def_30,type,
    lList21612149805nflsts: 
      !>[X0: $tType] : ( set(X0) > set(coinductive_llist(X0)) ) ).

thf(func_def_31,type,
    lList21148268032oslsts: 
      !>[X0: $tType] : ( set(X0) > set(coinductive_llist(X0)) ) ).

thf(func_def_32,type,
    inf_inf: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_33,type,
    sup_sup: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_34,type,
    bot_bot: 
      !>[X0: $tType] : X0 ).

thf(func_def_35,type,
    top_top: 
      !>[X0: $tType] : X0 ).

thf(func_def_36,type,
    type2: 
      !>[X0: $tType] : itself(X0) ).

thf(func_def_37,type,
    collect: 
      !>[X0: $tType] : ( ( X0 > $o ) > set(X0) ) ).

thf(func_def_38,type,
    disjnt: 
      !>[X0: $tType] : ( set(X0) > set(X0) > $o ) ).

thf(func_def_39,type,
    insert: 
      !>[X0: $tType] : ( X0 > set(X0) > set(X0) ) ).

thf(func_def_40,type,
    is_empty: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

thf(func_def_41,type,
    member: 
      !>[X0: $tType] : ( X0 > set(X0) > $o ) ).

thf(func_def_42,type,
    x: coinductive_llist(a) ).

thf(func_def_46,type,
    vNOT: $o > $o ).

thf(func_def_47,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_48,type,
    bCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

thf(func_def_49,type,
    cCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).

thf(func_def_50,type,
    vAND: $o > $o > $o ).

thf(func_def_51,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_52,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_53,type,
    kCOMB: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).

thf(func_def_54,type,
    sCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

thf(func_def_55,type,
    vIMP: $o > $o > $o ).

thf(func_def_56,type,
    vOR: $o > $o > $o ).

thf(func_def_57,type,
    sP0: 
      !>[X0: $tType] : ( set(X0) > ( coinductive_llist(X0) > $o ) > $o ) ).

thf(func_def_58,type,
    sK1: 
      !>[X0: $tType] : X0 ).

thf(func_def_59,type,
    sK2: 
      !>[X0: $tType] : X0 ).

thf(func_def_60,type,
    sK3: 
      !>[X0: $tType] : X0 ).

thf(func_def_61,type,
    sK4: 
      !>[X0: $tType] : X0 ).

thf(func_def_62,type,
    sK5: 
      !>[X0: $tType] : X0 ).

thf(func_def_63,type,
    sK6: 
      !>[X0: $tType] : X0 ).

thf(func_def_64,type,
    sK7: 
      !>[X0: $tType] : X0 ).

thf(func_def_65,type,
    sK8: 
      !>[X0: $tType] : ( coinductive_llist(X0) > X0 ) ).

thf(func_def_66,type,
    sK9: 
      !>[X0: $tType] : ( coinductive_llist(X0) > coinductive_llist(X0) ) ).

thf(func_def_67,type,
    sK10: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_68,type,
    sK11: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_69,type,
    sK12: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_70,type,
    sK13: 
      !>[X0: $tType] : ( set(X0) > set(X0) > X0 ) ).

thf(func_def_71,type,
    sK14: 
      !>[X0: $tType] : ( set(X0) > coinductive_llist(X0) > X0 ) ).

thf(func_def_72,type,
    sK15: 
      !>[X0: $tType] : ( set(X0) > coinductive_llist(X0) > coinductive_llist(X0) ) ).

thf(func_def_73,type,
    sK16: 
      !>[X0: $tType] : ( set(X0) > coinductive_llist(X0) > X0 ) ).

thf(func_def_74,type,
    sK17: 
      !>[X0: $tType] : ( set(X0) > coinductive_llist(X0) > coinductive_llist(X0) ) ).

thf(func_def_75,type,
    sK18: 
      !>[X0: $tType] : ( set(X0) > coinductive_llist(X0) > coinductive_llist(X0) ) ).

thf(func_def_76,type,
    sK19: 
      !>[X0: $tType] : ( set(X0) > coinductive_llist(X0) > X0 ) ).

thf(func_def_77,type,
    sK20: 
      !>[X0: $tType] : ( set(X0) > coinductive_llist(X0) > coinductive_llist(X0) ) ).

thf(func_def_78,type,
    sK21: 
      !>[X0: $tType] : ( set(X0) > coinductive_llist(X0) > X0 ) ).

thf(func_def_79,type,
    sK22: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_80,type,
    sK23: 
      !>[X0: $tType] : ( set(X0) > ( coinductive_llist(X0) > $o ) > coinductive_llist(X0) ) ).

thf(func_def_81,type,
    sK24: 
      !>[X0: $tType] : ( set(X0) > ( coinductive_llist(X0) > $o ) > X0 ) ).

thf(func_def_82,type,
    sK25: 
      !>[X0: $tType] : ( set(X0) > ( coinductive_llist(X0) > $o ) > coinductive_llist(X0) ) ).

thf(func_def_83,type,
    sK26: 
      !>[X0: $tType] : ( ( coinductive_llist(X0) > $o ) > coinductive_llist(X0) ) ).

thf(func_def_84,type,
    sK27: 
      !>[X0: $tType] : ( ( coinductive_llist(X0) > $o ) > set(X0) > coinductive_llist(X0) ) ).

thf(func_def_85,type,
    sK28: 
      !>[X0: $tType] : ( ( coinductive_llist(X0) > $o ) > set(X0) > X0 ) ).

thf(func_def_87,type,
    sK30: 
      !>[X0: $tType] : ( ( X0 > $o ) > set(X0) > X0 ) ).

thf(func_def_88,type,
    sK31: 
      !>[X0: $tType] : ( ( X0 > $o ) > set(X0) > X0 ) ).

thf(func_def_89,type,
    sK32: 
      !>[X0: $tType] : ( ( X0 > $o ) > set(X0) > set(X0) > X0 ) ).

thf(func_def_90,type,
    sK33: 
      !>[X0: $tType] : ( ( X0 > $o ) > set(X0) > set(X0) > X0 ) ).

thf(func_def_91,type,
    sK34: 
      !>[X0: $tType] : ( ( X0 > $o ) > set(X0) > X0 ) ).

thf(func_def_92,type,
    sK35: 
      !>[X0: $tType] : ( ( X0 > $o ) > set(X0) > X0 ) ).

thf(func_def_93,type,
    sK36: 
      !>[X0: $tType] : ( coinductive_llist(X0) > set(X0) > X0 ) ).

thf(func_def_94,type,
    sK37: 
      !>[X0: $tType] : ( coinductive_llist(X0) > set(X0) > X0 ) ).

thf(func_def_95,type,
    sK38: 
      !>[X0: $tType] : ( set(X0) > set(X0) > X0 ) ).

thf(func_def_96,type,
    sK39: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_97,type,
    sK40: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_98,type,
    sK41: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_99,type,
    sK42: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_100,type,
    sK43: 
      !>[X0: $tType] : ( coinductive_llist(X0) > coinductive_llist(X0) ) ).

thf(f293712,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1661,f1670,f30538,f30541,f30544,f293711]) ).

thf(f293711,plain,
    ( ~ spl29_1
    | ~ spl29_4 ),
    inference(avatar_contradiction_clause,[],[f293710]) ).

thf(f293710,plain,
    ( $false
    | ~ spl29_1
    | ~ spl29_4 ),
    inference(trivial_inequality_removal,[],[f293709]) ).

thf(f293709,plain,
    ( ( $true = $false )
    | ~ spl29_1
    | ~ spl29_4 ),
    inference(forward_demodulation,[],[f293673,f1656]) ).

thf(f1656,plain,
    ( ( vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),top_top(set(a)))) = $false )
    | ~ spl29_1 ),
    inference(avatar_component_clause,[],[f1654]) ).

thf(f1654,plain,
    ( spl29_1
  <=> ( vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),top_top(set(a)))) = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_1])]) ).

thf(f293673,plain,
    ( ( vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),top_top(set(a)))) = $true )
    | ~ spl29_4 ),
    inference(trivial_inequality_removal,[],[f293650]) ).

thf(f293650,plain,
    ( ( $true = $false )
    | ( vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),top_top(set(a)))) = $true )
    | ~ spl29_4 ),
    inference(superposition,[],[f291169,f1559]) ).

thf(f1559,plain,
    ! [X0: $tType,X1: coinductive_llist(X0)] :
      ( ( $true = vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),top_top(set(X0)))) )
      | ( $true = vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList21612149805nflsts(X0),top_top(set(X0)))) ) ),
    inference(not_proxy_clausification,[],[f1556]) ).

thf(f1556,plain,
    ! [X0: $tType,X1: coinductive_llist(X0)] :
      ( ( $true = vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList21612149805nflsts(X0),top_top(set(X0)))) )
      | ( $false = vAPP($o,$o,vNOT,vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),top_top(set(X0))))) ) ),
    inference(binary_proxy_clausification,[],[f1200]) ).

thf(f1200,plain,
    ! [X0: $tType,X1: coinductive_llist(X0)] : ( vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList21612149805nflsts(X0),top_top(set(X0)))) = vAPP($o,$o,vNOT,vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),top_top(set(X0))))) ),
    inference(cnf_transformation,[],[f528]) ).

thf(f528,plain,
    ! [X0: $tType,X1: coinductive_llist(X0)] : ( vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList21612149805nflsts(X0),top_top(set(X0)))) = vAPP($o,$o,vNOT,vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),top_top(set(X0))))) ),
    inference(fool_elimination,[],[f527]) ).

thf(f527,plain,
    ! [X0: $tType,X1: coinductive_llist(X0)] :
      ( ~ vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),top_top(set(X0)))) = vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList21612149805nflsts(X0),top_top(set(X0)))) ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    ! [X0: $tType,X2: coinductive_llist(X0)] :
      ( ~ vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X2),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),top_top(set(X0)))) = vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X2),vAPP(set(X0),set(coinductive_llist(X0)),lList21612149805nflsts(X0),top_top(set(X0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_notfin__inf) ).

thf(f291169,plain,
    ( ! [X0: set(a)] : ( $false = vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList2236698231inlsts(a),X0)) )
    | ~ spl29_4 ),
    inference(trivial_inequality_removal,[],[f291067]) ).

thf(f291067,plain,
    ( ! [X0: set(a)] :
        ( ( $true = $false )
        | ( $false = vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList2236698231inlsts(a),X0)) ) )
    | ~ spl29_4 ),
    inference(superposition,[],[f30936,f1669]) ).

thf(f1669,plain,
    ( ( vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList2236698231inlsts(a),top_top(set(a)))) = $false )
    | ~ spl29_4 ),
    inference(avatar_component_clause,[],[f1667]) ).

thf(f1667,plain,
    ( spl29_4
  <=> ( vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList2236698231inlsts(a),top_top(set(a)))) = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_4])]) ).

thf(f30936,plain,
    ! [X0: $tType,X2: set(X0),X1: coinductive_llist(X0)] :
      ( ( $true = vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),top_top(set(X0)))) )
      | ( $false = vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),X2)) ) ),
    inference(trivial_inequality_removal,[],[f30935]) ).

thf(f30935,plain,
    ! [X0: $tType,X2: set(X0),X1: coinductive_llist(X0)] :
      ( ( $true != $true )
      | ( $true = vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),top_top(set(X0)))) )
      | ( $false = vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),X2)) ) ),
    inference(superposition,[],[f1295,f302]) ).

thf(f302,plain,
    ! [X0: $o] :
      ( ( $true = X0 )
      | ( $false = X0 ) ),
    introduced(fool_axiom,[]) ).

thf(f1295,plain,
    ! [X0: $tType,X2: set(X0),X1: coinductive_llist(X0)] :
      ( ( $true != vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),X2)) )
      | ( $true = vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),top_top(set(X0)))) ) ),
    inference(cnf_transformation,[],[f979]) ).

thf(f979,plain,
    ! [X0: $tType,X1: coinductive_llist(X0),X2: set(X0)] :
      ( ( $true = vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),top_top(set(X0)))) )
      | ( $true != vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),X2)) ) ),
    inference(ennf_transformation,[],[f662]) ).

thf(f662,plain,
    ! [X0: $tType,X1: coinductive_llist(X0),X2: set(X0)] :
      ( ( $true = vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),X2)) )
     => ( $true = vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),top_top(set(X0)))) ) ),
    inference(fool_elimination,[],[f661]) ).

thf(f661,plain,
    ! [X0: $tType,X1: coinductive_llist(X0),X2: set(X0)] :
      ( vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),X2))
     => vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),top_top(set(X0)))) ),
    inference(rectify,[],[f4]) ).

thf(f4,axiom,
    ! [X0: $tType,X3: coinductive_llist(X0),X4: set(X0)] :
      ( vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X3),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),X4))
     => vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X3),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),top_top(set(X0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_fin__finite) ).

thf(f30544,plain,
    ( ~ spl29_2
    | ~ spl29_4 ),
    inference(avatar_contradiction_clause,[],[f30543]) ).

thf(f30543,plain,
    ( $false
    | ~ spl29_2
    | ~ spl29_4 ),
    inference(trivial_inequality_removal,[],[f30542]) ).

thf(f30542,plain,
    ( ( $true = $false )
    | ~ spl29_2
    | ~ spl29_4 ),
    inference(forward_demodulation,[],[f1660,f1669]) ).

thf(f1660,plain,
    ( ( vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList2236698231inlsts(a),top_top(set(a)))) = $true )
    | ~ spl29_2 ),
    inference(avatar_component_clause,[],[f1658]) ).

thf(f1658,plain,
    ( spl29_2
  <=> ( vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList2236698231inlsts(a),top_top(set(a)))) = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_2])]) ).

thf(f30541,plain,
    ( ~ spl29_1
    | ~ spl29_3 ),
    inference(avatar_contradiction_clause,[],[f30540]) ).

thf(f30540,plain,
    ( $false
    | ~ spl29_1
    | ~ spl29_3 ),
    inference(trivial_inequality_removal,[],[f30539]) ).

thf(f30539,plain,
    ( ( $true = $false )
    | ~ spl29_1
    | ~ spl29_3 ),
    inference(backward_demodulation,[],[f1665,f1656]) ).

thf(f1665,plain,
    ( ( vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),top_top(set(a)))) = $true )
    | ~ spl29_3 ),
    inference(avatar_component_clause,[],[f1663]) ).

thf(f1663,plain,
    ( spl29_3
  <=> ( vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),top_top(set(a)))) = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_3])]) ).

thf(f30538,plain,
    ( ~ spl29_2
    | ~ spl29_3 ),
    inference(avatar_contradiction_clause,[],[f30537]) ).

thf(f30537,plain,
    ( $false
    | ~ spl29_2
    | ~ spl29_3 ),
    inference(trivial_inequality_removal,[],[f30536]) ).

thf(f30536,plain,
    ( ( $true = $false )
    | ~ spl29_2
    | ~ spl29_3 ),
    inference(backward_demodulation,[],[f1665,f30531]) ).

thf(f30531,plain,
    ( ! [X0: set(a)] : ( $false = vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),X0)) )
    | ~ spl29_2 ),
    inference(trivial_inequality_removal,[],[f30530]) ).

thf(f30530,plain,
    ( ! [X0: set(a)] :
        ( ( $true != $true )
        | ( $false = vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),X0)) ) )
    | ~ spl29_2 ),
    inference(superposition,[],[f30527,f302]) ).

thf(f30527,plain,
    ( ! [X0: set(a)] : ( $true != vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),X0)) )
    | ~ spl29_2 ),
    inference(trivial_inequality_removal,[],[f30515]) ).

thf(f30515,plain,
    ( ! [X0: set(a)] :
        ( ( $true != $true )
        | ( $true != vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),X0)) ) )
    | ~ spl29_2 ),
    inference(superposition,[],[f1280,f1660]) ).

thf(f1280,plain,
    ! [X0: $tType,X2: set(X0),X1: coinductive_llist(X0)] :
      ( ( $true != vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),top_top(set(X0)))) )
      | ( $true != vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList21612149805nflsts(X0),X2)) ) ),
    inference(cnf_transformation,[],[f965]) ).

thf(f965,plain,
    ! [X0: $tType,X1: coinductive_llist(X0),X2: set(X0)] :
      ( ( ( $true != vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),top_top(set(X0)))) )
        & ( $true = vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2435255213lllsts(X0),X2)) ) )
      | ( $true != vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList21612149805nflsts(X0),X2)) ) ),
    inference(ennf_transformation,[],[f644]) ).

thf(f644,plain,
    ! [X0: $tType,X1: coinductive_llist(X0),X2: set(X0)] :
      ( ( $true = vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList21612149805nflsts(X0),X2)) )
     => ~ ( ( $true = vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2435255213lllsts(X0),X2)) )
         => ( $true = vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),top_top(set(X0)))) ) ) ),
    inference(fool_elimination,[],[f643]) ).

thf(f643,plain,
    ! [X0: $tType,X1: coinductive_llist(X0),X2: set(X0)] :
      ( vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList21612149805nflsts(X0),X2))
     => ~ ( vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2435255213lllsts(X0),X2))
         => vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X1),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),top_top(set(X0)))) ) ),
    inference(rectify,[],[f10]) ).

thf(f10,axiom,
    ! [X0: $tType,X2: coinductive_llist(X0),X4: set(X0)] :
      ( vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X2),vAPP(set(X0),set(coinductive_llist(X0)),lList21612149805nflsts(X0),X4))
     => ~ ( vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X2),vAPP(set(X0),set(coinductive_llist(X0)),lList2435255213lllsts(X0),X4))
         => vAPP(set(coinductive_llist(X0)),$o,vAPP(coinductive_llist(X0),sTfun(set(coinductive_llist(X0)),$o),member(coinductive_llist(X0)),X2),vAPP(set(X0),set(coinductive_llist(X0)),lList2236698231inlsts(X0),top_top(set(X0)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_inflstsE) ).

thf(f1670,plain,
    ( spl29_3
    | spl29_4 ),
    inference(avatar_split_clause,[],[f1651,f1667,f1663]) ).

thf(f1651,plain,
    ( ( vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList2236698231inlsts(a),top_top(set(a)))) = $false )
    | ( vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),top_top(set(a)))) = $true ) ),
    inference(not_proxy_clausification,[],[f1650]) ).

thf(f1650,plain,
    ( ( vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList2236698231inlsts(a),top_top(set(a)))) = $false )
    | ( $false = vAPP($o,$o,vNOT,vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),top_top(set(a))))) ) ),
    inference(binary_proxy_clausification,[],[f1058]) ).

thf(f1058,plain,
    vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList2236698231inlsts(a),top_top(set(a)))) != vAPP($o,$o,vNOT,vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),top_top(set(a))))),
    inference(cnf_transformation,[],[f761]) ).

thf(f761,plain,
    vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList2236698231inlsts(a),top_top(set(a)))) != vAPP($o,$o,vNOT,vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),top_top(set(a))))),
    inference(flattening,[],[f304]) ).

thf(f304,plain,
    vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList2236698231inlsts(a),top_top(set(a)))) != vAPP($o,$o,vNOT,vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),top_top(set(a))))),
    inference(fool_elimination,[],[f303]) ).

thf(f303,plain,
    ( ~ vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),top_top(set(a)))) != vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList2236698231inlsts(a),top_top(set(a)))) ),
    inference(rectify,[],[f300]) ).

thf(f300,negated_conjecture,
    ( ~ vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),top_top(set(a)))) != vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList2236698231inlsts(a),top_top(set(a)))) ),
    inference(negated_conjecture,[],[f299]) ).

thf(f299,conjecture,
    ( ~ vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),top_top(set(a)))) = vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList2236698231inlsts(a),top_top(set(a)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f1661,plain,
    ( spl29_1
    | spl29_2 ),
    inference(avatar_split_clause,[],[f1652,f1658,f1654]) ).

thf(f1652,plain,
    ( ( vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList2236698231inlsts(a),top_top(set(a)))) = $true )
    | ( vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),top_top(set(a)))) = $false ) ),
    inference(not_proxy_clausification,[],[f1649]) ).

thf(f1649,plain,
    ( ( vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList2236698231inlsts(a),top_top(set(a)))) = $true )
    | ( $true = vAPP($o,$o,vNOT,vAPP(set(coinductive_llist(a)),$o,vAPP(coinductive_llist(a),sTfun(set(coinductive_llist(a)),$o),member(coinductive_llist(a)),x),vAPP(set(a),set(coinductive_llist(a)),lList21612149805nflsts(a),top_top(set(a))))) ) ),
    inference(binary_proxy_clausification,[],[f1058]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : DAT176^1 : TPTP v8.1.2. Released v7.0.0.
% 0.14/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 12:56:50 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (17684)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.39  % (17689)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_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.39  % (17687)WARNING: value z3 for option sas not known
% 0.20/0.39  % (17685)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.39  % (17686)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.39  % (17688)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.39  % (17687)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.39  % (17690)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.39  % (17691)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.42  % (17691)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.42  % Exception at run slice level
% 0.20/0.42  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.42  % Exception at run slice level
% 0.20/0.42  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.42  % Exception at run slice level
% 0.20/0.42  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.44  % (17692)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.20/0.44  % (17693)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.20/0.44  % (17694)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.20/0.46  % (17692)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.46  % (17693)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.47  % Exception at run slice level
% 0.20/0.47  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.48  % (17695)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 37.52/5.74  % (17694)First to succeed.
% 37.52/5.75  % (17694)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17684"
% 37.52/5.76  % (17694)Refutation found. Thanks to Tanya!
% 37.52/5.76  % SZS status Theorem for theBenchmark
% 37.52/5.76  % SZS output start Proof for theBenchmark
% See solution above
% 37.52/5.76  % (17694)------------------------------
% 37.52/5.76  % (17694)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 37.52/5.76  % (17694)Termination reason: Refutation
% 37.52/5.76  
% 37.52/5.76  % (17694)Memory used [KB]: 68738
% 37.52/5.76  % (17694)Time elapsed: 5.314 s
% 37.52/5.76  % (17694)Instructions burned: 21011 (million)
% 37.52/5.76  % (17684)Success in time 5.315 s
%------------------------------------------------------------------------------