TSTP Solution File: FLD071-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : FLD071-1 : 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 : n006.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 05:08:11 EDT 2024

% Result   : Unsatisfiable 0.21s 0.38s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   15 (   6 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (   9   ~;   8   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f131,plain,
    $false,
    inference(avatar_sat_refutation,[],[f117,f122,f130]) ).

fof(f130,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f126]) ).

fof(f126,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f116,f30]) ).

fof(f30,axiom,
    less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).

fof(f116,plain,
    ( ~ less_or_equal(additive_identity,a)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f114,plain,
    ( spl0_6
  <=> less_or_equal(additive_identity,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f122,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f118]) ).

fof(f118,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f112,f31]) ).

fof(f31,axiom,
    less_or_equal(additive_identity,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).

fof(f112,plain,
    ( ~ less_or_equal(additive_identity,b)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f110,plain,
    ( spl0_5
  <=> less_or_equal(additive_identity,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f117,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f106,f114,f110]) ).

fof(f106,plain,
    ( ~ less_or_equal(additive_identity,a)
    | ~ less_or_equal(additive_identity,b) ),
    inference(resolution,[],[f20,f32]) ).

fof(f32,axiom,
    ~ less_or_equal(additive_identity,multiply(a,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_5) ).

fof(f20,axiom,
    ! [X2,X1] :
      ( less_or_equal(additive_identity,multiply(X1,X2))
      | ~ less_or_equal(additive_identity,X1)
      | ~ less_or_equal(additive_identity,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_multiplication) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : FLD071-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n006.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 19:45:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.36  % (5192)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (5197)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.37  % (5198)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.37  % (5194)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37  % (5196)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.37  % (5195)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)
% 0.21/0.38  % (5193)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38  % (5199)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)
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  % (5195)First to succeed.
% 0.21/0.38  % (5198)Also succeeded, but the first one will report.
% 0.21/0.38  % (5195)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5192"
% 0.21/0.38  TRYING [3]
% 0.21/0.38  TRYING [3]
% 0.21/0.38  TRYING [3]
% 0.21/0.38  TRYING [3]
% 0.21/0.38  % (5195)Refutation found. Thanks to Tanya!
% 0.21/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38  % (5195)------------------------------
% 0.21/0.38  % (5195)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38  % (5195)Termination reason: Refutation
% 0.21/0.38  
% 0.21/0.38  % (5195)Memory used [KB]: 866
% 0.21/0.38  % (5195)Time elapsed: 0.005 s
% 0.21/0.38  % (5195)Instructions burned: 5 (million)
% 0.21/0.38  % (5192)Success in time 0.021 s
%------------------------------------------------------------------------------