TSTP Solution File: LCL774_5 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL774_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n015.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 : Tue Apr 30 13:49:15 EDT 2024

% Result   : Theorem 0.16s 0.35s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   58
% Syntax   : Number of formulae    :   64 (   8 unt;  56 typ;   0 def)
%            Number of atoms       :    8 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   61 (  36   >;  25   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  18 usr;   1 prp; 0-3 aty)
%            Number of functors    :   35 (  35 usr;   6 con; 0-5 aty)
%            Number of variables   :   23 (   3   !;   0   ?;  23   :)
%                                         (  20  !>;   0  ?*;   0  @-;   0  @+)

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

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

tff(type_def_7,type,
    list: $tType > $tType ).

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

tff(type_def_9,type,
    fun: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    plus_plus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_2,type,
    it: fun(dB,bool) ).

tff(func_def_3,type,
    abs: dB > dB ).

tff(func_def_4,type,
    app: fun(dB,fun(dB,dB)) ).

tff(func_def_5,type,
    var: nat > dB ).

tff(func_def_6,type,
    dB_case: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,X0)) * fun(dB,X0) * dB ) > X0 ) ).

tff(func_def_7,type,
    dB_rec: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,fun(X0,fun(X0,X0)))) * fun(dB,fun(X0,X0)) * dB ) > X0 ) ).

tff(func_def_8,type,
    dB_size: dB > nat ).

tff(func_def_9,type,
    lift: ( dB * nat ) > dB ).

tff(func_def_10,type,
    liftn: ( nat * dB * nat ) > dB ).

tff(func_def_11,type,
    subst: ( dB * dB * nat ) > dB ).

tff(func_def_12,type,
    substn: ( dB * dB * nat ) > dB ).

tff(func_def_13,type,
    foldl: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).

tff(func_def_14,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

tff(func_def_15,type,
    suc: nat > nat ).

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,
    fTrue: bool ).

tff(func_def_19,type,
    i: nat ).

tff(func_def_20,type,
    r: dB ).

tff(func_def_21,type,
    sK7: nat > nat ).

tff(func_def_22,type,
    sK8: nat > nat ).

tff(func_def_23,type,
    sK9: dB > dB ).

tff(func_def_24,type,
    sK10: dB > list(dB) ).

tff(func_def_25,type,
    sK11: dB > nat ).

tff(func_def_26,type,
    sK12: dB > dB ).

tff(func_def_27,type,
    sK13: dB > dB ).

tff(func_def_28,type,
    sK14: dB > list(dB) ).

tff(func_def_29,type,
    sK15: ( dB * dB ) > dB ).

tff(func_def_30,type,
    sK16: fun(nat,bool) > nat ).

tff(func_def_31,type,
    sK17: fun(nat,bool) > nat ).

tff(func_def_32,type,
    sK18: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

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

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

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

tff(pred_def_4,type,
    comm_monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    cancel146912293up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    linord219039673up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    beta: ( dB * dB ) > $o ).

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

tff(pred_def_11,type,
    pp: bool > $o ).

tff(pred_def_12,type,
    sP0: dB > $o ).

tff(pred_def_13,type,
    sP1: dB > $o ).

tff(pred_def_14,type,
    sP2: dB > $o ).

tff(pred_def_15,type,
    sP3: ( nat * nat ) > $o ).

tff(pred_def_16,type,
    sP4: ( nat * nat ) > $o ).

tff(pred_def_17,type,
    sP5: ( nat * nat ) > $o ).

tff(pred_def_18,type,
    sP6: ( nat * nat ) > $o ).

tff(f521,plain,
    $false,
    inference(resolution,[],[f338,f317]) ).

tff(f317,plain,
    ~ pp(aa(dB,bool,it,var(i))),
    inference(cnf_transformation,[],[f112]) ).

tff(f112,plain,
    ~ pp(aa(dB,bool,it,var(i))),
    inference(flattening,[],[f111]) ).

tff(f111,negated_conjecture,
    ~ pp(aa(dB,bool,it,var(i))),
    inference(negated_conjecture,[],[f110]) ).

tff(f110,conjecture,
    pp(aa(dB,bool,it,var(i))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).

tff(f338,plain,
    ! [X0: nat] : pp(aa(dB,bool,it,var(X0))),
    inference(cnf_transformation,[],[f122]) ).

tff(f122,plain,
    ! [X0: nat] : pp(aa(dB,bool,it,var(X0))),
    inference(rectify,[],[f1]) ).

tff(f1,axiom,
    ! [X3: nat] : pp(aa(dB,bool,it,var(X3))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_Var__IT) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : LCL774_5 : TPTP v8.1.2. Released v6.0.0.
% 0.03/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n015.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Apr 29 23:26:32 EDT 2024
% 0.16/0.31  % CPUTime    : 
% 0.16/0.32  % (16716)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.34  % (16719)WARNING: value z3 for option sas not known
% 0.16/0.34  % (16720)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.34  % (16723)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)
% 0.16/0.34  % (16721)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)
% 0.16/0.34  % (16723)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.34  % Exception at run slice level
% 0.16/0.34  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.35  % (16718)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.35  % (16723)First to succeed.
% 0.16/0.35  % (16721)Also succeeded, but the first one will report.
% 0.16/0.35  % (16723)Refutation found. Thanks to Tanya!
% 0.16/0.35  % SZS status Theorem for theBenchmark
% 0.16/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.35  % (16723)------------------------------
% 0.16/0.35  % (16723)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.35  % (16723)Termination reason: Refutation
% 0.16/0.35  
% 0.16/0.35  % (16723)Memory used [KB]: 1029
% 0.16/0.35  % (16723)Time elapsed: 0.010 s
% 0.16/0.35  % (16723)Instructions burned: 20 (million)
% 0.16/0.35  % (16723)------------------------------
% 0.16/0.35  % (16723)------------------------------
% 0.16/0.35  % (16716)Success in time 0.03 s
% 0.16/0.36  % Exception at proof search level
% 0.16/0.36  System fail: Cannot decrease semaphore. error 22: Invalid argument
%------------------------------------------------------------------------------