TSTP Solution File: SYN082-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN082-1 : 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 : n015.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 12:08:51 EDT 2024

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   15 (   4 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   30 (  14   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f29,plain,
    $false,
    inference(resolution,[],[f26,f13]) ).

fof(f13,plain,
    big_f(a,b),
    inference(duplicate_literal_removal,[],[f12]) ).

fof(f12,plain,
    ( big_f(a,b)
    | big_f(a,b) ),
    inference(resolution,[],[f11,f2]) ).

fof(f2,axiom,
    ( big_f(a,f(a))
    | big_f(a,b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

fof(f11,plain,
    ! [X1] :
      ( ~ big_f(a,X1)
      | big_f(a,b) ),
    inference(subsumption_resolution,[],[f7,f4]) ).

fof(f4,axiom,
    ! [X1] :
      ( ~ big_f(a,X1)
      | big_f(a,b)
      | big_f(g(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

fof(f7,axiom,
    ! [X1] :
      ( ~ big_f(a,X1)
      | big_f(a,b)
      | ~ big_f(g(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

fof(f26,plain,
    ! [X1] : ~ big_f(a,X1),
    inference(subsumption_resolution,[],[f25,f20]) ).

fof(f20,plain,
    ! [X1] :
      ( ~ big_f(a,X1)
      | big_f(g(X1),X1) ),
    inference(subsumption_resolution,[],[f5,f17]) ).

fof(f17,plain,
    big_f(a,f(a)),
    inference(duplicate_literal_removal,[],[f16]) ).

fof(f16,plain,
    ( big_f(a,f(a))
    | big_f(a,f(a)) ),
    inference(resolution,[],[f1,f13]) ).

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

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

fof(f25,plain,
    ! [X1] :
      ( ~ big_f(a,X1)
      | ~ big_f(g(X1),X1) ),
    inference(subsumption_resolution,[],[f8,f17]) ).

fof(f8,axiom,
    ! [X1] :
      ( ~ big_f(a,X1)
      | ~ big_f(a,f(a))
      | ~ big_f(g(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN082-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 17:51:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (14105)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (14109)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  % (14110)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (14108)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  % (14111)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (14107)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (14112)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  % (14106)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (14110)First to succeed.
% 0.14/0.37  % (14111)Also succeeded, but the first one will report.
% 0.14/0.37  TRYING [1]
% 0.14/0.37  % (14110)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14105"
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [1,1]
% 0.14/0.37  % (14108)Also succeeded, but the first one will report.
% 0.14/0.37  TRYING [1,1]
% 0.14/0.37  TRYING [1,2]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [1,2]
% 0.14/0.37  TRYING [2,2]
% 0.14/0.37  TRYING [3]
% 0.14/0.37  TRYING [3]
% 0.14/0.37  TRYING [2,2]
% 0.14/0.37  % (14110)Refutation found. Thanks to Tanya!
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37  % (14110)------------------------------
% 0.14/0.37  % (14110)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37  % (14110)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (14110)Memory used [KB]: 744
% 0.14/0.37  % (14110)Time elapsed: 0.003 s
% 0.14/0.37  % (14110)Instructions burned: 2 (million)
% 0.14/0.37  % (14105)Success in time 0.009 s
%------------------------------------------------------------------------------