↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP123^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n004.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 : Wed Sep 30 08:10:47 AM UTC 2026

% Result   : Theorem 6.78s 1.40s
% Output   : Refutation 7.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   51 (  31 unt;   0 typ;   4 def)
%            Number of atoms       :  170 (  56 equ;   0 cnn)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :  294 (  23   ~;  10   |;   1   &; 246   @)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   97 (  94 usr;  15 con; 0-6 aty)
%            Number of variables   :   49 (   0   ^;  49   !;   0   ?;  49   :)

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

thf(type_def_6,type,
    a: $tType ).

thf(type_def_7,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    condit1627435690bove_a: ( a > a > $o ) > set_a > $o ).

thf(func_def_1,type,
    condit1001553558elow_a: ( a > a > $o ) > set_a > $o ).

thf(func_def_2,type,
    finite40241356em_a_a: ( a > a > a ) > $o ).

thf(func_def_3,type,
    abel_semigroup_a: ( a > a > a ) > $o ).

thf(func_def_4,type,
    semigroup_a: ( a > a > a ) > $o ).

thf(func_def_5,type,
    lattice_a: ( a > a > a ) > ( a > a > $o ) > ( a > a > $o ) > ( a > a > a ) > $o ).

thf(func_def_6,type,
    semilattice_a: ( a > a > a ) > $o ).

thf(func_def_7,type,
    semilattice_order_a: ( a > a > a ) > ( a > a > $o ) > ( a > a > $o ) > $o ).

thf(func_def_8,type,
    lattic655834328_set_a: ( a > a > a ) > ( a > a > $o ) > ( a > a > $o ) > $o ).

thf(func_def_9,type,
    lattic1885654924_set_a: ( a > a > a ) > $o ).

thf(func_def_10,type,
    modula1376131916tice_a: ( a > a > a ) > ( a > a > $o ) > ( a > a > a ) > a > a > a > $o ).

thf(func_def_11,type,
    modula397570059tice_a: ( a > a > a ) > ( a > a > $o ) > ( a > a > a ) > a > a > a > $o ).

thf(func_def_12,type,
    modula17988509_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

thf(func_def_13,type,
    modula1373251614_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

thf(func_def_14,type,
    modula581031071_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

thf(func_def_15,type,
    modula1936294176_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

thf(func_def_16,type,
    modula1144073633_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

thf(func_def_17,type,
    modula1727524044comp_a: ( a > a > $o ) > a > a > $o ).

thf(func_def_18,type,
    modula1962211574trib_a: ( a > a > a ) > ( a > a > $o ) > ( a > a > a ) > a > a > a > $o ).

thf(func_def_19,type,
    least_a: ( a > a > $o ) > ( a > $o ) > a ).

thf(func_def_20,type,
    max_a: ( a > a > $o ) > a > a > a ).

thf(func_def_21,type,
    min_a: ( a > a > $o ) > a > a > a ).

thf(func_def_22,type,
    greatest_a: ( a > a > $o ) > ( a > $o ) > a ).

thf(func_def_23,type,
    ordering_a: ( a > a > $o ) > ( a > a > $o ) > $o ).

thf(func_def_24,type,
    collect_a: ( a > $o ) > set_a ).

thf(func_def_25,type,
    set_gr1491433118Than_a: ( a > a > $o ) > a > a > set_a ).

thf(func_def_26,type,
    member_a: a > set_a > $o ).

thf(func_def_27,type,
    inf: a > a > a ).

thf(func_def_28,type,
    less: a > a > $o ).

thf(func_def_29,type,
    less_eq: a > a > $o ).

thf(func_def_30,type,
    sup: a > a > a ).

thf(func_def_31,type,
    x: a ).

thf(func_def_32,type,
    y: a ).

thf(func_def_33,type,
    z: a ).

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

thf(func_def_38,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_39,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_40,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_41,type,
    vAND: $o > $o > $o ).

thf(func_def_42,type,
    vNOT: $o > $o ).

thf(func_def_43,type,
    vOR: $o > $o > $o ).

thf(func_def_44,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_45,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_46,type,
    db2: 
      !>[X0: $tType] : X0 ).

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

thf(func_def_48,type,
    vIMP: $o > $o > $o ).

thf(func_def_49,type,
    sK0: ( a > $o ) > ( a > $o ) > a ).

thf(func_def_50,type,
    sK1: ( a > a > a ) > a ).

thf(func_def_51,type,
    sK2: ( a > a > a ) > a ).

thf(func_def_52,type,
    sK3: ( a > a > a ) > a ).

thf(func_def_53,type,
    sK4: ( a > a > a ) > a ).

thf(func_def_54,type,
    sK5: ( a > a > a ) > a ).

thf(func_def_55,type,
    sK6: ( a > a > a ) > a ).

thf(func_def_56,type,
    sK7: ( a > a > a ) > a ).

thf(func_def_57,type,
    sK8: ( a > a > a ) > a ).

thf(func_def_58,type,
    sK9: ( a > a > a ) > a ).

thf(func_def_59,type,
    sK10: ( a > a > a ) > a ).

thf(func_def_60,type,
    sK11: ( a > a > a ) > a ).

thf(func_def_61,type,
    sK12: ( a > a > a ) > a ).

thf(func_def_62,type,
    sK13: ( a > a > a ) > a ).

thf(func_def_63,type,
    sK14: ( a > a > a ) > a ).

thf(func_def_64,type,
    sK15: a ).

thf(func_def_65,type,
    sK16: a ).

thf(func_def_66,type,
    sK17: a ).

thf(func_def_67,type,
    sK18: a ).

thf(func_def_68,type,
    sK19: a ).

thf(func_def_69,type,
    sK20: a ).

thf(func_def_70,type,
    sK21: ( a > $o ) > ( a > $o ) > a ).

thf(func_def_71,type,
    sK22: a > ( a > $o ) > a ).

thf(func_def_72,type,
    sK23: a > ( a > $o ) > a ).

thf(func_def_73,type,
    sK24: a > ( a > $o ) > a ).

thf(func_def_74,type,
    sK25: a > ( a > $o ) > a ).

thf(func_def_75,type,
    sK26: a > ( a > $o ) > a ).

thf(func_def_76,type,
    sK27: a > ( a > $o ) > a ).

thf(func_def_77,type,
    sK28: ( a > $o ) > ( a > $o ) > a ).

thf(func_def_78,type,
    sK29: a > ( a > $o ) > a ).

thf(func_def_79,type,
    sK30: a > ( a > $o ) > a ).

thf(func_def_80,type,
    sK31: ( a > a > a ) > a ).

thf(func_def_81,type,
    sK32: ( a > a > a ) > a ).

thf(func_def_82,type,
    sK33: ( a > a > a ) > a ).

thf(func_def_83,type,
    sK34: a > set_a > a ).

thf(func_def_84,type,
    sK35: a > set_a > a ).

thf(func_def_85,type,
    sF36: a ).

thf(func_def_86,type,
    sF37: a ).

thf(func_def_87,type,
    sF38: a ).

thf(func_def_88,type,
    sF39: $o ).

thf(func_def_89,type,
    sK40: set_a > a ).

thf(func_def_90,type,
    sK41: a > set_a > a ).

thf(func_def_91,type,
    sK42: set_a > a ).

thf(func_def_92,type,
    sK43: a > set_a > a ).

thf(func_def_93,type,
    sK44: ( a > a > a ) > a ).

thf(func_def_94,type,
    sK45: ( a > a > a ) > a ).

thf(func_def_95,type,
    sK46: ( a > a > a ) > a ).

thf(f43,axiom,
    ! [X0: a,X1: a] :
      ( ( sup @ X0 @ X1 )
      = ( sup @ X1 @ X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_local_Osup__commute) ).

thf(f68,axiom,
    ! [X0: a,X1: a] :
      ( ( less @ X0 @ X1 )
     => ( less_eq @ X0 @ X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_local_Oorder_Ostrict__implies__order) ).

thf(f130,axiom,
    ! [X0: a,X1: a,X2: a] :
      ( ( less @ ( sup @ X0 @ X1 ) @ X2 )
     => ~ ( ( less @ X0 @ X2 )
         => ~ ( less @ X1 @ X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_129_local_Osup_Ostrict__boundedE) ).

thf(f132,axiom,
    ! [X0: a,X1: a,X2: a] :
      ( ( less @ X0 @ X1 )
     => ( less @ X0 @ ( sup @ X2 @ X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_131_local_Osup_Ostrict__coboundedI2) ).

thf(f253,axiom,
    less @ ( sup @ x @ ( inf @ y @ z ) ) @ ( inf @ y @ ( sup @ x @ z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).

thf(f254,conjecture,
    less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).

thf(f255,negated_conjecture,
    ~ ( less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) ),
    inference(negated_conjecture,[status(cth)],[f254]) ).

thf(f362,plain,
    ! [X0: a,X1: a] :
      ( ( less @ X0 @ X1 )
     => ( less_eq @ X0 @ X1 ) ),
    inference(rectify,[],[f68]) ).

thf(f363,plain,
    ! [X0: a,X1: a] :
      ( ( ( less @ X0 @ X1 )
        = $true )
     => ( ( less_eq @ X0 @ X1 )
        = $true ) ),
    inference(fool_elimination,[],[f362]) ).

thf(f477,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( less @ ( sup @ X0 @ X1 ) @ X2 )
     => ~ ( ( less @ X0 @ X2 )
         => ~ ( less @ X1 @ X2 ) ) ),
    inference(rectify,[],[f130]) ).

thf(f478,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( ( less @ ( sup @ X0 @ X1 ) @ X2 )
        = $true )
     => ~ ( ( ( less @ X0 @ X2 )
            = $true )
         => ( ( less @ X1 @ X2 )
           != $true ) ) ),
    inference(fool_elimination,[],[f477]) ).

thf(f481,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( less @ X0 @ X1 )
     => ( less @ X0 @ ( sup @ X2 @ X1 ) ) ),
    inference(rectify,[],[f132]) ).

thf(f482,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( ( less @ X0 @ X1 )
        = $true )
     => ( ( less @ X0 @ ( sup @ X2 @ X1 ) )
        = $true ) ),
    inference(fool_elimination,[],[f481]) ).

thf(f635,plain,
    less @ ( sup @ x @ ( inf @ y @ z ) ) @ ( inf @ y @ ( sup @ x @ z ) ),
    inference(rectify,[],[f253]) ).

thf(f636,plain,
    ( ( less @ ( sup @ x @ ( inf @ y @ z ) ) @ ( inf @ y @ ( sup @ x @ z ) ) )
    = $true ),
    inference(fool_elimination,[],[f635]) ).

thf(f637,plain,
    ~ ( less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) ),
    inference(rectify,[],[f255]) ).

thf(f638,plain,
    ( ( less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) )
   != $true ),
    inference(fool_elimination,[],[f637]) ).

thf(f654,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( ( less @ ( sup @ X0 @ X1 ) @ X2 )
        = $true )
     => ~ ( ( ( less @ X0 @ X2 )
            = $true )
         => ( ( less @ X1 @ X2 )
           != $true ) ) ),
    inference(flattening,[],[f478]) ).

thf(f659,plain,
    ( ( less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) )
   != $true ),
    inference(flattening,[],[f638]) ).

thf(f723,plain,
    ! [X0: a,X1: a] :
      ( ( ( less_eq @ X0 @ X1 )
        = $true )
      | ( ( less @ X0 @ X1 )
       != $true ) ),
    inference(ennf_transformation,[],[f363]) ).

thf(f781,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( ( ( less @ X1 @ X2 )
          = $true )
        & ( ( less @ X0 @ X2 )
          = $true ) )
      | ( ( less @ ( sup @ X0 @ X1 ) @ X2 )
       != $true ) ),
    inference(ennf_transformation,[],[f654]) ).

thf(f783,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ( ( less @ X0 @ ( sup @ X2 @ X1 ) )
        = $true )
      | ( ( less @ X0 @ X1 )
       != $true ) ),
    inference(ennf_transformation,[],[f482]) ).

thf(f910,plain,
    ! [X0: a,X1: a] :
      ( ( sup @ X0 @ X1 )
      = ( sup @ X1 @ X0 ) ),
    inference(cnf_transformation,[],[f43]) ).

thf(f935,plain,
    ! [X0: a,X1: a] :
      ( ( ( less @ X0 @ X1 )
       != $true )
      | ( ( less_eq @ X0 @ X1 )
        = $true ) ),
    inference(cnf_transformation,[],[f723]) ).

thf(f1006,plain,
    ! [X2: a,X0: a,X1: a] :
      ( ( ( less @ ( sup @ X0 @ X1 ) @ X2 )
       != $true )
      | ( ( less @ X0 @ X2 )
        = $true ) ),
    inference(cnf_transformation,[],[f781]) ).

thf(f1009,plain,
    ! [X2: a,X0: a,X1: a] :
      ( ( ( less @ X0 @ X1 )
       != $true )
      | ( ( less @ X0 @ ( sup @ X2 @ X1 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f783]) ).

thf(f1158,plain,
    ( ( less @ ( sup @ x @ ( inf @ y @ z ) ) @ ( inf @ y @ ( sup @ x @ z ) ) )
    = $true ),
    inference(cnf_transformation,[],[f636]) ).

thf(f1159,plain,
    ( ( less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) )
   != $true ),
    inference(cnf_transformation,[],[f659]) ).

thf(f1190,definition,
    ( sF36
    = ( sup @ x @ z ) ),
    introduced(definition,[new_symbols(definition,[sF36])],[function_definition]) ).

thf(f1191,plain,
    ( ( sup @ x @ z )
    = sF36 ),
    inference(reorient_equations,[],[f1190]) ).

thf(f1192,definition,
    ( sF37
    = ( inf @ y @ sF36 ) ),
    introduced(definition,[new_symbols(definition,[sF37])],[function_definition]) ).

thf(f1193,plain,
    ( ( inf @ y @ sF36 )
    = sF37 ),
    inference(reorient_equations,[],[f1192]) ).

thf(f1194,definition,
    ( sF38
    = ( sup @ sF37 @ z ) ),
    introduced(definition,[new_symbols(definition,[sF38])],[function_definition]) ).

thf(f1195,plain,
    ( ( sup @ sF37 @ z )
    = sF38 ),
    inference(reorient_equations,[],[f1194]) ).

thf(f1196,definition,
    ( sF39
    = ( less_eq @ x @ sF38 ) ),
    introduced(definition,[new_symbols(definition,[sF39])],[function_definition]) ).

thf(f1197,plain,
    ( ( less_eq @ x @ sF38 )
    = sF39 ),
    inference(reorient_equations,[],[f1196]) ).

thf(f1198,plain,
    $true != sF39,
    inference(definition_folding,[],[f1159,f1197,f1195,f1193,f1191]) ).

thf(f1499,plain,
    ( ( $false
      = ( less_eq @ x @ sF38 ) )
    | ( $true = sF39 ) ),
    inference(iff_proxy_clausification,[],[f1197]) ).

thf(f1505,plain,
    ( sF38
    = ( sup @ z @ sF37 ) ),
    inference(forward_demodulation,[],[f1195,f910]) ).

thf(f1506,plain,
    ( $false
    = ( less_eq @ x @ sF38 ) ),
    inference(forward_subsumption_resolution,[],[f1499,f1198]) ).

thf(f3622,plain,
    ( ( $true != $true )
    | ( $true
      = ( less @ x @ ( inf @ y @ ( sup @ x @ z ) ) ) ) ),
    inference(constrained_superposition,[],[f1006,f1158]) ).

thf(f3635,plain,
    ( $true
    = ( less @ x @ ( inf @ y @ ( sup @ x @ z ) ) ) ),
    inference(trivial_inequality_removal,[],[f3622]) ).

thf(f3652,plain,
    ( $true
    = ( less @ x @ ( inf @ y @ sF36 ) ) ),
    inference(forward_demodulation,[],[f3635,f1191]) ).

thf(f3672,plain,
    ( $true
    = ( less @ x @ sF37 ) ),
    inference(forward_demodulation,[],[f3652,f1193]) ).

thf(f3702,plain,
    ! [X0: a] :
      ( ( $true != $true )
      | ( $true
        = ( less @ x @ ( sup @ X0 @ sF37 ) ) ) ),
    inference(constrained_superposition,[],[f1009,f3672]) ).

thf(f3717,plain,
    ! [X0: a] :
      ( $true
      = ( less @ x @ ( sup @ X0 @ sF37 ) ) ),
    inference(trivial_inequality_removal,[],[f3702]) ).

thf(f6592,plain,
    ( $true
    = ( less @ x @ sF38 ) ),
    inference(constrained_superposition,[],[f3717,f1505]) ).

thf(f6746,plain,
    ( ( $true != $true )
    | ( $true
      = ( less_eq @ x @ sF38 ) ) ),
    inference(constrained_superposition,[],[f935,f6592]) ).

thf(f6795,plain,
    ( $true
    = ( less_eq @ x @ sF38 ) ),
    inference(trivial_inequality_removal,[],[f6746]) ).

thf(f6799,plain,
    $true = $false,
    inference(forward_demodulation,[],[f6795,f1506]) ).

thf(f6800,plain,
    $false,
    inference(trivial_inequality_removal,[],[f6799]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP123^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  % Computer : n004.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Tue Sep 29 19:56:52 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.25  Running first-order model finding
% 0.09/0.25  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.40/1.06  % (1763134)Will run a generic schedule for satisfiability detection.
% 5.40/1.06  % (1763140)% WARNING: option uhcvi not known.
% 5.40/1.06  % (1763143)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1398146695:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.40/1.06  % (1763139)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=382263343_2999 on theBenchmark for (2999ds/0Mi)
% 5.40/1.06  % (1763142)dis+10_1_sil=32000:sp=arity:random_seed=31758608:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.40/1.06  % (1763141)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=221560399:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.40/1.06  % (1763140)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1471746574:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.40/1.06  % (1763144)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1550824151:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.40/1.06  % (1763143)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.40/1.06  % (1763145)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1855869243:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.40/1.06  % (1763140)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.40/1.06  % (1763143)Instruction limit reached! 
% 5.40/1.06  % (1763143)------------------------------
% 5.40/1.06  % (1763143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.06  % (1763143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.06  % (1763143)CaDiCaL version: 2.1.3
% 5.40/1.06  % Exception at run slice level% (1763143)Termination reason: Instruction limit
% 5.40/1.06  % (1763143)Termination phase: Saturation
% 5.40/1.06  
% 5.40/1.06  % (1763143)Time elapsed: 0.032 s
% 5.40/1.06  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.40/1.06  % (1763143)Peak memory usage: 13 MB
% 5.40/1.06  % (1763143)Instructions burned: 119 (million)
% 5.40/1.06  % (1763153)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4157097429:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.40/1.06  % (1763142)Instruction limit reached! 
% 5.40/1.06  % (1763142)------------------------------
% 5.40/1.06  % (1763142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.06  % (1763142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.06  % (1763142)CaDiCaL version: 2.1.3
% 5.40/1.06  % (1763142)Termination reason: Instruction limit
% 5.40/1.06  % (1763142)Termination phase: Saturation
% 5.40/1.06  % (1763142)Time elapsed: 0.048 s
% 5.40/1.06  % (1763142)Peak memory usage: 12 MB
% 5.40/1.06  % (1763142)Instructions burned: 104 (million)
% 5.40/1.06  % (1763140)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.40/1.06  % Exception at run slice level
% 5.40/1.06  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.40/1.06  % (1763154)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=822951347:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.40/1.06  % (1763156)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=2182483540:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.40/1.06  % (1763157)ott-21_1_sil=16000:fs=off:random_seed=648875608:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.40/1.06  % (1763156)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.40/1.06  % (1763144)Instruction limit reached! 
% 5.40/1.06  % (1763144)------------------------------
% 5.40/1.06  % (1763144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.06  % (1763144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.06  % (1763144)CaDiCaL version: 2.1.3
% 5.40/1.06  % (1763144)Termination reason: Instruction limit
% 5.40/1.06  % (1763144)Termination phase: Saturation
% 5.40/1.06  % (1763144)Time elapsed: 0.083 s
% 5.40/1.06  % (1763144)Peak memory usage: 13 MB
% 5.40/1.06  % (1763144)Instructions burned: 132 (million)
% 5.40/1.06  % (1763156)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.40/1.06  % (1763157)Instruction limit reached! 
% 6.78/1.40  % (1763157)------------------------------
% 6.78/1.40  % (1763157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.40  % (1763157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.40  % (1763157)CaDiCaL version: 2.1.3
% 6.78/1.40  % (1763157)Termination reason: Instruction limit
% 6.78/1.40  % (1763157)Termination phase: Saturation
% 6.78/1.40  % (1763157)Time elapsed: 0.042 s
% 6.78/1.40  % (1763157)Peak memory usage: 12 MB
% 6.78/1.40  % (1763157)Instructions burned: 184 (million)
% 6.78/1.40  % (1763161)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1171841883:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 6.78/1.40  % (1763162)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=579647096:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 6.78/1.40  % Exception at run slice level
% 6.78/1.40  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.78/1.40  % (1763154)Instruction limit reached! 
% 6.78/1.40  % (1763154)------------------------------
% 6.78/1.40  % (1763154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.40  % (1763154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.40  % (1763154)CaDiCaL version: 2.1.3
% 6.78/1.40  % (1763154)Termination reason: Instruction limit
% 6.78/1.40  % (1763154)Termination phase: Saturation
% 6.78/1.40  % (1763154)Time elapsed: 0.073 s
% 6.78/1.40  % (1763154)Peak memory usage: 13 MB
% 6.78/1.40  % (1763154)Instructions burned: 133 (million)
% 6.78/1.40  % (1763165)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1058974814:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 6.78/1.40  % (1763145)Instruction limit reached! 
% 6.78/1.40  % (1763145)------------------------------
% 6.78/1.40  % (1763145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.40  % (1763145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.40  % (1763145)CaDiCaL version: 2.1.3
% 6.78/1.40  % (1763145)Termination reason: Instruction limit
% 6.78/1.40  % (1763145)Termination phase: Saturation
% 6.78/1.40  % (1763145)Time elapsed: 0.135 s
% 6.78/1.40  % (1763145)Peak memory usage: 13 MB
% 6.78/1.40  % (1763145)Instructions burned: 159 (million)
% 6.78/1.40  % (1763166)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3024153297:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 6.78/1.40  % (1763168)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=1410486435:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 6.78/1.40  % (1763168)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.78/1.40  % Exception at run slice level
% 6.78/1.40  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.78/1.40  % (1763171)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=427309342:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 6.78/1.40  % (1763171)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.78/1.40  % (1763156)Instruction limit reached! 
% 6.78/1.40  % (1763156)------------------------------
% 6.78/1.40  % (1763156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.40  % (1763156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.40  % (1763156)CaDiCaL version: 2.1.3
% 6.78/1.40  % (1763156)Termination reason: Instruction limit
% 6.78/1.40  % (1763156)Termination phase: Saturation
% 6.78/1.40  % (1763156)Time elapsed: 0.329 s
% 6.78/1.40  % (1763156)Peak memory usage: 15 MB
% 6.78/1.40  % (1763156)Instructions burned: 684 (million)
% 6.78/1.40  % (1763173)fmb+10_1_sil=64000:random_seed=963357940:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 6.78/1.40  % (1763173)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 6.78/1.40  % (1763161)Instruction limit reached! 
% 6.78/1.40  % (1763161)------------------------------
% 6.78/1.40  % (1763161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.40  % (1763161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.40  % (1763161)CaDiCaL version: 2.1.3
% 6.78/1.40  % (1763161)Termination reason: Instruction limit
% 6.78/1.40  % (1763161)Termination phase: Saturation
% 6.78/1.40  % (1763161)Time elapsed: 0.321 s
% 6.78/1.40  % (1763161)Peak memory usage: 13 MB
% 6.78/1.40  % (1763161)Instructions burned: 478 (million)
% 6.78/1.40  % (1763165)Instruction limit reached! 
% 6.78/1.40  % (1763165)------------------------------
% 6.78/1.40  % (1763165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.40  % (1763165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.40  % (1763165)CaDiCaL version: 2.1.3
% 6.78/1.40  % (1763165)Termination reason: Instruction limit
% 6.78/1.40  % (1763165)Termination phase: Saturation
% 6.78/1.40  % (1763165)Time elapsed: 0.293 s
% 6.78/1.40  % (1763165)Peak memory usage: 20 MB
% 6.78/1.40  % (1763165)Instructions burned: 1182 (million)
% 6.78/1.40  % Exception at run slice level
% 6.78/1.40  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.78/1.40  % (1763176)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1393840044:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 6.78/1.40  % (1763175)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=165700809:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 6.78/1.40  % (1763177)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4167959946:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 6.78/1.40  % Exception at run slice level
% 6.78/1.40  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.78/1.40  % (1763177)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.78/1.40  % (1763181)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=537723827:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 6.78/1.40  % Exception at run slice level
% 6.78/1.40  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.78/1.40  % (1763181)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 6.78/1.40  % (1763181)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 6.78/1.40  % (1763183)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1822820481:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 6.78/1.40  % Exception at run slice level
% 6.78/1.40  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.78/1.40  % (1763185)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2407112829:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 6.78/1.40  % Exception at run slice level
% 6.78/1.40  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.78/1.40  % (1763187)ott-2_1_sil=16000:newcnf=on:random_seed=331853432:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 6.78/1.40  % (1763187)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 6.78/1.40  % (1763171)Instruction limit reached! 
% 6.78/1.40  % (1763171)------------------------------
% 6.78/1.40  % (1763171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.40  % (1763171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.40  % (1763171)CaDiCaL version: 2.1.3
% 6.78/1.40  % (1763171)Termination reason: Instruction limit
% 6.78/1.40  % (1763171)Termination phase: Saturation
% 6.78/1.40  % (1763171)Time elapsed: 0.429 s
% 6.78/1.40  % (1763171)Peak memory usage: 17 MB
% 6.78/1.40  % (1763171)Instructions burned: 880 (million)
% 6.78/1.40  % (1763189)ott+10_1_sil=32000:tgt=ground:random_seed=3925653224:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 6.78/1.40  % (1763168)Instruction limit reached! 
% 6.78/1.40  % (1763168)------------------------------
% 6.78/1.40  % (1763168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.40  % (1763168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.40  % (1763168)CaDiCaL version: 2.1.3
% 6.78/1.40  % (1763168)Termination reason: Instruction limit
% 6.78/1.40  % (1763168)Termination phase: Saturation
% 6.78/1.40  % (1763168)Time elapsed: 0.535 s
% 6.78/1.40  % (1763168)Peak memory usage: 15 MB
% 6.78/1.40  % (1763168)Instructions burned: 692 (million)
% 6.78/1.40  % (1763191)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=216864596:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 6.78/1.40  % Exception at run slice level
% 6.78/1.40  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.78/1.40  % (1763193)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1358649666:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 6.78/1.40  % (1763193)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 6.78/1.40  % (1763181)Instruction limit reached! 
% 6.78/1.40  % (1763181)------------------------------
% 6.78/1.40  % (1763181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.40  % (1763181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.40  % (1763181)CaDiCaL version: 2.1.3
% 6.78/1.40  % (1763181)Termination reason: Instruction limit
% 6.78/1.40  % (1763181)Termination phase: Saturation
% 6.78/1.40  % (1763181)Time elapsed: 0.379 s
% 6.78/1.40  % (1763181)Peak memory usage: 18 MB
% 6.78/1.40  % (1763181)Instructions burned: 1473 (million)
% 6.78/1.40  % (1763195)dis+21_1_sil=32000:sas=cadical:random_seed=863247034:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 6.78/1.40  % (1763187)Instruction limit reached! 
% 6.78/1.40  % (1763187)------------------------------
% 6.78/1.40  % (1763187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.40  % (1763187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.40  % (1763187)CaDiCaL version: 2.1.3
% 6.78/1.40  % (1763187)Termination reason: Instruction limit
% 6.78/1.40  % (1763187)Termination phase: Saturation
% 6.78/1.40  % (1763187)Time elapsed: 0.411 s
% 6.78/1.40  % (1763187)Peak memory usage: 17 MB
% 6.78/1.40  % (1763187)Instructions burned: 870 (million)
% 6.78/1.40  % (1763197)ott+11_1_sil=16000:gs=on:random_seed=3019333195:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2989 on theBenchmark for (2989ds/2251Mi)
% 6.78/1.40  % (1763197)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 6.78/1.40  % (1763189) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1763134-1763189"...
% 6.78/1.40  % (1763189)...printing done.
% 6.78/1.40  % (1763189)Refutation found. Thanks to Tanya!
% 6.78/1.40  % SZS status Theorem for theBenchmark
% 6.78/1.40  % SZS output start Proof for theBenchmark
% See solution above
% 7.92/1.40  % (1763189)------------------------------
% 7.92/1.40  % (1763189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.92/1.40  % (1763189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.92/1.40  % (1763189)CaDiCaL version: 2.1.3
% 7.92/1.40  % (1763189)Termination reason: Refutation
% 7.92/1.40  % (1763189)Time elapsed: 0.405 s
% 7.92/1.40  % (1763189)Peak memory usage: 18 MB
% 7.92/1.40  % (1763189)Instructions burned: 761 (million)
% 7.92/1.40  % (1763134)Success in time 1.135 s
% 7.92/1.40  % Vampire exiting
%------------------------------------------------------------------------------