TSTP Solution File: FLD059-4 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : FLD059-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n023.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 11:06:32 EDT 2024

% Result   : Unsatisfiable 0.20s 0.39s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   21 (   7 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   36 (  18   ~;  17   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   2 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f919,plain,
    $false,
    inference(avatar_sat_refutation,[],[f117,f910]) ).

fof(f910,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f909]) ).

fof(f909,plain,
    ( $false
    | spl0_5 ),
    inference(subsumption_resolution,[],[f908,f27]) ).

fof(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).

fof(f908,plain,
    ( ~ defined(a)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f902,f81]) ).

fof(f81,plain,
    ( ~ less_or_equal(a,u)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f80,plain,
    ( spl0_5
  <=> less_or_equal(a,u) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f902,plain,
    ( less_or_equal(a,u)
    | ~ defined(a) ),
    inference(resolution,[],[f234,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( sum(additive_identity,X0,X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).

fof(f234,plain,
    ! [X0] :
      ( ~ sum(additive_identity,a,X0)
      | less_or_equal(X0,u) ),
    inference(resolution,[],[f93,f30]) ).

fof(f30,axiom,
    sum(a,a,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_4) ).

fof(f93,plain,
    ! [X2,X0,X1] :
      ( ~ sum(a,X2,X1)
      | less_or_equal(X0,X1)
      | ~ sum(additive_identity,X2,X0) ),
    inference(resolution,[],[f24,f29]) ).

fof(f29,axiom,
    less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).

fof(f24,axiom,
    ! [X3,X0,X1,X4,X5] :
      ( ~ less_or_equal(X0,X3)
      | less_or_equal(X4,X1)
      | ~ sum(X3,X5,X1)
      | ~ sum(X0,X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).

fof(f117,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f116]) ).

fof(f116,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f112,f31]) ).

fof(f31,axiom,
    ~ less_or_equal(additive_identity,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_5) ).

fof(f112,plain,
    ( less_or_equal(additive_identity,u)
    | ~ spl0_5 ),
    inference(resolution,[],[f82,f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ~ less_or_equal(a,X0)
      | less_or_equal(additive_identity,X0) ),
    inference(resolution,[],[f22,f29]) ).

fof(f22,axiom,
    ! [X3,X0,X5] :
      ( ~ less_or_equal(X0,X3)
      | ~ less_or_equal(X3,X5)
      | less_or_equal(X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_order_relation) ).

fof(f82,plain,
    ( less_or_equal(a,u)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f80]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : FLD059-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.33  % Computer : n023.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue Apr 30 03:38:55 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  % (12739)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.36  % (12740)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.36  TRYING [1]
% 0.20/0.36  TRYING [2]
% 0.20/0.36  TRYING [3]
% 0.20/0.36  % (12745)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.37  % (12743)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.37  % (12746)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37  % (12741)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37  % (12742)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.20/0.37  % (12744)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [3]
% 0.20/0.37  TRYING [4]
% 0.20/0.37  TRYING [3]
% 0.20/0.37  TRYING [3]
% 0.20/0.39  TRYING [4]
% 0.20/0.39  TRYING [4]
% 0.20/0.39  % (12745)First to succeed.
% 0.20/0.39  TRYING [4]
% 0.20/0.39  % (12745)Refutation found. Thanks to Tanya!
% 0.20/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39  % (12745)------------------------------
% 0.20/0.39  % (12745)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.39  % (12745)Termination reason: Refutation
% 0.20/0.39  
% 0.20/0.39  % (12745)Memory used [KB]: 1115
% 0.20/0.39  % (12745)Time elapsed: 0.032 s
% 0.20/0.39  % (12745)Instructions burned: 43 (million)
% 0.20/0.39  % (12745)------------------------------
% 0.20/0.39  % (12745)------------------------------
% 0.20/0.39  % (12739)Success in time 0.052 s
%------------------------------------------------------------------------------