TSTP Solution File: SYN328-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN328-1 : 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 : n026.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 12:09:40 EDT 2024

% Result   : Unsatisfiable 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (   5 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   47 (  21   ~;  26   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f41,plain,
    $false,
    inference(subsumption_resolution,[],[f40,f33]) ).

fof(f33,plain,
    ! [X0] : g(X0),
    inference(resolution,[],[f31,f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ~ h(y(X0))
      | g(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

fof(f31,plain,
    ! [X0] : h(X0),
    inference(subsumption_resolution,[],[f27,f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ~ h(y(X0))
      | h(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

fof(f27,plain,
    ! [X0] :
      ( h(X0)
      | h(y(X0)) ),
    inference(resolution,[],[f26,f10]) ).

fof(f26,plain,
    ! [X0] :
      ( h(y(y(X0)))
      | h(X0) ),
    inference(subsumption_resolution,[],[f23,f16]) ).

fof(f16,plain,
    ! [X0] :
      ( h(X0)
      | f(X0) ),
    inference(subsumption_resolution,[],[f14,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( f(y(X0))
      | f(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f14,plain,
    ! [X0] :
      ( ~ f(y(X0))
      | h(X0)
      | f(X0) ),
    inference(resolution,[],[f9,f3]) ).

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

fof(f9,axiom,
    ! [X0] :
      ( g(y(X0))
      | ~ f(y(X0))
      | h(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).

fof(f23,plain,
    ! [X0] :
      ( h(y(y(X0)))
      | ~ f(X0)
      | h(X0) ),
    inference(resolution,[],[f22,f17]) ).

fof(f17,plain,
    ! [X0] :
      ( f(y(X0))
      | h(X0) ),
    inference(resolution,[],[f16,f10]) ).

fof(f22,plain,
    ! [X0] :
      ( ~ f(y(X0))
      | h(y(y(X0)))
      | ~ f(X0) ),
    inference(subsumption_resolution,[],[f13,f16]) ).

fof(f13,plain,
    ! [X0] :
      ( ~ f(y(y(X0)))
      | h(y(y(X0)))
      | ~ f(y(X0))
      | ~ f(X0) ),
    inference(resolution,[],[f4,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( g(y(X0))
      | ~ f(y(X0))
      | ~ f(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

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

fof(f40,plain,
    ! [X0] : ~ g(z(X0)),
    inference(subsumption_resolution,[],[f36,f37]) ).

fof(f37,plain,
    ! [X0] : f(X0),
    inference(resolution,[],[f33,f3]) ).

fof(f36,plain,
    ! [X0] :
      ( ~ f(z(X0))
      | ~ g(z(X0)) ),
    inference(resolution,[],[f31,f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( ~ h(z(X0))
      | ~ f(z(X0))
      | ~ g(z(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SYN328-1 : TPTP v8.1.2. Released v1.2.0.
% 0.11/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 17:25:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (1989)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (1992)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)
% 0.15/0.38  % (1991)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (1993)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (1994)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (1990)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (1995)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (1996)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)
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [1,1]
% 0.15/0.38  TRYING [1,1]
% 0.15/0.38  TRYING [2,1]
% 0.15/0.38  TRYING [2,1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [3,1]
% 0.15/0.38  % (1992)Also succeeded, but the first one will report.
% 0.15/0.38  % (1995)First to succeed.
% 0.15/0.38  TRYING [3,1]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  % (1994)Also succeeded, but the first one will report.
% 0.15/0.38  % (1995)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1989"
% 0.15/0.38  TRYING [4]
% 0.15/0.38  TRYING [4,1]
% 0.15/0.38  TRYING [4,1]
% 0.15/0.38  TRYING [4]
% 0.15/0.38  % (1995)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (1995)------------------------------
% 0.15/0.38  % (1995)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (1995)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (1995)Memory used [KB]: 747
% 0.15/0.38  % (1995)Time elapsed: 0.004 s
% 0.15/0.38  % (1995)Instructions burned: 3 (million)
% 0.15/0.38  % (1989)Success in time 0.008 s
%------------------------------------------------------------------------------