TSTP Solution File: SYN354-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN354-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n005.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 12:09:50 EDT 2024

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   33 (  15   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,plain,
    $false,
    inference(subsumption_resolution,[],[f20,f16]) ).

fof(f16,plain,
    f(b,b),
    inference(subsumption_resolution,[],[f15,f10]) ).

fof(f10,plain,
    ( g(b,z(a,b))
    | f(b,b) ),
    inference(duplicate_literal_removal,[],[f9]) ).

fof(f9,plain,
    ( f(b,b)
    | g(b,z(a,b))
    | g(b,z(a,b)) ),
    inference(resolution,[],[f3,f1]) ).

fof(f1,axiom,
    f(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ f(X0,X1)
      | f(b,X1)
      | g(X1,z(X0,X1))
      | g(b,z(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

fof(f15,plain,
    ( f(b,b)
    | ~ g(b,z(a,b)) ),
    inference(subsumption_resolution,[],[f14,f1]) ).

fof(f14,plain,
    ( f(b,b)
    | ~ f(a,b)
    | ~ g(b,z(a,b)) ),
    inference(duplicate_literal_removal,[],[f13]) ).

fof(f13,plain,
    ( f(b,b)
    | ~ f(a,b)
    | ~ g(b,z(a,b))
    | f(b,b) ),
    inference(resolution,[],[f4,f10]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ g(X1,z(X0,X1))
      | f(b,X1)
      | ~ f(X0,X1)
      | ~ g(b,z(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f20,plain,
    ~ f(b,b),
    inference(subsumption_resolution,[],[f18,f1]) ).

fof(f18,plain,
    ( ~ f(a,b)
    | ~ f(b,b) ),
    inference(resolution,[],[f16,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ f(X0,X1)
      | ~ f(a,X0)
      | ~ f(b,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN354-1 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n005.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 17:09:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (899)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (905)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (909)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (908)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (910)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  % (907)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  % (904)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (906)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  % (908)First to succeed.
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [1,1]
% 0.14/0.38  % (909)Also succeeded, but the first one will report.
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [2,1]
% 0.14/0.38  % (908)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-899"
% 0.14/0.38  TRYING [1,1]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2,1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [2,2]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [2,2]
% 0.14/0.38  TRYING [3,3]
% 0.14/0.38  % (908)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  % (908)------------------------------
% 0.14/0.38  % (908)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (908)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (908)Memory used [KB]: 744
% 0.14/0.38  % (908)Time elapsed: 0.003 s
% 0.14/0.38  % (908)Instructions burned: 2 (million)
% 0.14/0.38  % (899)Success in time 0.019 s
%------------------------------------------------------------------------------