TSTP Solution File: SYN038-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN038-1 : TPTP v8.1.2. Released v1.0.0.
% 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 12:08:33 EDT 2024

% Result   : Unsatisfiable 0.15s 0.41s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   21 (   3 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   57 (  32   ~;  25   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f54,plain,
    $false,
    inference(resolution,[],[f43,f40]) ).

fof(f40,plain,
    ! [X0] : ~ p(X0,X0),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ~ p(X0,X0)
      | ~ p(X0,X0) ),
    inference(resolution,[],[f34,f28]) ).

fof(f28,plain,
    ! [X0] :
      ( ~ p(X0,f(X0,X0))
      | ~ p(X0,X0) ),
    inference(factoring,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ p(X1,f(X1,X0))
      | ~ p(X0,f(X1,X0))
      | ~ p(X1,X0) ),
    inference(resolution,[],[f16,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( q(X1,f(X0,X1))
      | ~ p(X0,f(X0,X1))
      | ~ p(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ q(X0,X1)
      | ~ p(X0,X1) ),
    inference(duplicate_literal_removal,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ~ p(X0,X1)
      | ~ q(X0,X1)
      | ~ q(X0,X1) ),
    inference(resolution,[],[f12,f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( p(f(X0,X1),f(X0,X1))
      | ~ q(X0,X1) ),
    inference(resolution,[],[f8,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ q(f(X0,X1),f(X0,X1))
      | ~ q(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

fof(f8,plain,
    ! [X0,X1] :
      ( q(X0,X1)
      | p(X0,X1) ),
    inference(resolution,[],[f6,f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ~ q(f(X0,X1),f(X0,X1))
      | p(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( q(f(X0,X1),f(X0,X1))
      | q(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ~ p(f(X0,X1),f(X0,X1))
      | ~ p(X0,X1)
      | ~ q(X0,X1) ),
    inference(resolution,[],[f3,f7]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( q(f(X0,X1),f(X0,X1))
      | ~ p(f(X0,X1),f(X0,X1))
      | ~ p(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

fof(f34,plain,
    ! [X0] :
      ( p(X0,f(X0,X0))
      | ~ p(X0,X0) ),
    inference(resolution,[],[f32,f8]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ q(X0,f(X0,X0))
      | ~ p(X0,X0) ),
    inference(duplicate_literal_removal,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ~ p(X0,X0)
      | ~ q(X0,f(X0,X0))
      | ~ p(X0,X0) ),
    inference(resolution,[],[f28,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( p(X0,f(X0,X1))
      | ~ q(X1,f(X0,X1))
      | ~ p(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

fof(f43,plain,
    ! [X0,X1] : p(X0,X1),
    inference(resolution,[],[f40,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( p(f(X0,X1),f(X0,X1))
      | p(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : SYN038-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37  % Computer : n005.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri May  3 17:18:53 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  % (3087)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39  % (3094)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)
% 0.15/0.39  % (3091)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [3]
% 0.15/0.40  TRYING [4]
% 0.15/0.40  TRYING [4]
% 0.15/0.40  % (3088)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.40  TRYING [5]
% 0.15/0.40  TRYING [1]
% 0.15/0.40  TRYING [2]
% 0.15/0.40  TRYING [3]
% 0.15/0.40  TRYING [5]
% 0.15/0.40  % (3090)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)
% 0.15/0.40  % (3093)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.40  TRYING [4]
% 0.15/0.41  % (3090)First to succeed.
% 0.15/0.41  % (3090)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3087"
% 0.15/0.41  % (3093)Also succeeded, but the first one will report.
% 0.15/0.41  % (3090)Refutation found. Thanks to Tanya!
% 0.15/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.41  % (3090)------------------------------
% 0.15/0.41  % (3090)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.41  % (3090)Termination reason: Refutation
% 0.15/0.41  
% 0.15/0.41  % (3090)Memory used [KB]: 749
% 0.15/0.41  % (3090)Time elapsed: 0.028 s
% 0.15/0.41  % (3090)Instructions burned: 3 (million)
% 0.15/0.41  % (3087)Success in time 0.033 s
%------------------------------------------------------------------------------