TSTP Solution File: FLD017-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : FLD017-1 : 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 : n009.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 05:07:53 EDT 2024

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   21 (   7 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   43 (  24   ~;  17   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f314,plain,
    $false,
    inference(avatar_sat_refutation,[],[f264,f288,f313]) ).

fof(f313,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f308]) ).

fof(f308,plain,
    ( $false
    | ~ spl0_10 ),
    inference(resolution,[],[f307,f32]) ).

fof(f32,axiom,
    equalish(a,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_x_5) ).

fof(f307,plain,
    ( ~ equalish(a,x)
    | ~ spl0_10 ),
    inference(resolution,[],[f289,f22]) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( equalish(X0,X1)
      | ~ equalish(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).

fof(f289,plain,
    ( ~ equalish(x,a)
    | ~ spl0_10 ),
    inference(resolution,[],[f287,f33]) ).

fof(f33,axiom,
    equalish(add(a,b),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_equals_c_6) ).

fof(f287,plain,
    ( ! [X0] :
        ( ~ equalish(add(X0,b),c)
        | ~ equalish(x,X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f286,plain,
    ( spl0_10
  <=> ! [X0] :
        ( ~ equalish(x,X0)
        | ~ equalish(add(X0,b),c) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f288,plain,
    ( ~ spl0_7
    | spl0_10 ),
    inference(avatar_split_clause,[],[f116,f286,f251]) ).

fof(f251,plain,
    ( spl0_7
  <=> defined(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f116,plain,
    ! [X0] :
      ( ~ equalish(x,X0)
      | ~ defined(b)
      | ~ equalish(add(X0,b),c) ),
    inference(resolution,[],[f24,f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ equalish(add(x,b),X0)
      | ~ equalish(X0,c) ),
    inference(resolution,[],[f23,f34]) ).

fof(f34,axiom,
    ~ equalish(add(x,b),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_not_equal_to_c_7) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( equalish(X0,X2)
      | ~ equalish(X0,X1)
      | ~ equalish(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).

fof(f24,axiom,
    ! [X2,X0,X1] :
      ( equalish(add(X0,X2),add(X1,X2))
      | ~ equalish(X0,X1)
      | ~ defined(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).

fof(f264,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f263]) ).

fof(f263,plain,
    ( $false
    | spl0_7 ),
    inference(resolution,[],[f253,f29]) ).

fof(f29,axiom,
    defined(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).

fof(f253,plain,
    ( ~ defined(b)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f251]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : FLD017-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n009.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 19:46:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (5557)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (5558)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.36  TRYING [1]
% 0.14/0.36  TRYING [2]
% 0.14/0.36  TRYING [3]
% 0.14/0.37  % (5561)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  % (5562)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (5559)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (5560)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)
% 0.14/0.37  % (5563)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (5564)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)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [4]
% 0.14/0.37  TRYING [3]
% 0.14/0.37  TRYING [3]
% 0.14/0.37  TRYING [3]
% 0.14/0.38  % (5560)First to succeed.
% 0.14/0.38  % (5560)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5557"
% 0.14/0.38  % (5560)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (5560)------------------------------
% 0.14/0.38  % (5560)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (5560)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (5560)Memory used [KB]: 909
% 0.14/0.38  % (5560)Time elapsed: 0.009 s
% 0.14/0.38  % (5560)Instructions burned: 11 (million)
% 0.14/0.38  % (5557)Success in time 0.014 s
%------------------------------------------------------------------------------