TSTP Solution File: SYN312-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN312-1 : TPTP v8.1.2. Bugfixed v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n009.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 12:09:34 EDT 2024

% Result   : Unsatisfiable 0.17s 0.35s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (  13 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  17   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f255,plain,
    $false,
    inference(subsumption_resolution,[],[f253,f107]) ).

fof(f107,plain,
    p(d,c,a),
    inference(resolution,[],[f74,f3]) ).

fof(f3,axiom,
    ! [X2,X3,X0] :
      ( ~ p(X0,X3,X2)
      | p(X3,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

fof(f74,plain,
    p(c,d,a),
    inference(resolution,[],[f68,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0] :
      ( ~ p(X0,X3,X2)
      | p(X2,X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f68,plain,
    p(a,d,c),
    inference(resolution,[],[f33,f7]) ).

fof(f7,axiom,
    p(f(b),d,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

fof(f33,plain,
    ! [X0] :
      ( ~ p(f(b),X0,c)
      | p(a,X0,c) ),
    inference(resolution,[],[f1,f6]) ).

fof(f6,axiom,
    p(a,f(b),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ p(X0,X3,X2)
      | ~ p(X3,X1,X2)
      | p(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f253,plain,
    ~ p(d,c,a),
    inference(resolution,[],[f242,f64]) ).

fof(f64,plain,
    ! [X2,X0,X1] :
      ( p(X1,X2,g(X0))
      | ~ p(X0,X1,X2) ),
    inference(resolution,[],[f20,f3]) ).

fof(f20,plain,
    ! [X2,X0,X1] :
      ( p(X2,X1,g(X0))
      | ~ p(X0,X1,X2) ),
    inference(resolution,[],[f5,f2]) ).

fof(f5,axiom,
    ! [X2,X3,X0] :
      ( p(g(X0),X3,X2)
      | ~ p(X0,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

fof(f242,plain,
    ~ p(c,a,g(d)),
    inference(resolution,[],[f229,f15]) ).

fof(f15,plain,
    ! [X2,X0,X1] :
      ( p(X1,X0,f(X2))
      | ~ p(X0,X1,X2) ),
    inference(resolution,[],[f4,f3]) ).

fof(f4,axiom,
    ! [X2,X3,X0] :
      ( p(X0,X3,f(X2))
      | ~ p(X0,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f229,plain,
    ~ p(a,c,f(g(d))),
    inference(resolution,[],[f135,f20]) ).

fof(f135,plain,
    ~ p(f(g(d)),c,g(a)),
    inference(resolution,[],[f66,f15]) ).

fof(f66,plain,
    ~ p(c,f(g(d)),f(g(a))),
    inference(resolution,[],[f25,f20]) ).

fof(f25,plain,
    ~ p(f(g(a)),f(g(d)),g(c)),
    inference(resolution,[],[f8,f4]) ).

fof(f8,axiom,
    ~ p(f(g(a)),f(g(d)),f(g(c))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN312-1 : TPTP v8.1.2. Bugfixed v2.0.0.
% 0.03/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n009.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 17:10:08 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.33  % (13724)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34  % (13731)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)
% 0.11/0.34  % (13730)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34  % (13726)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34  % (13728)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.34  % (13729)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34  % (13725)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34  % (13727)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)
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [2]
% 0.11/0.34  TRYING [2]
% 0.11/0.34  TRYING [2]
% 0.11/0.34  TRYING [2]
% 0.11/0.34  TRYING [3]
% 0.11/0.34  TRYING [3]
% 0.11/0.34  TRYING [3]
% 0.11/0.34  TRYING [3]
% 0.11/0.35  TRYING [4]
% 0.11/0.35  TRYING [4]
% 0.11/0.35  TRYING [4]
% 0.11/0.35  TRYING [4]
% 0.17/0.35  % (13730)First to succeed.
% 0.17/0.35  % (13730)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13724"
% 0.17/0.35  % (13730)Refutation found. Thanks to Tanya!
% 0.17/0.35  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.35  % (13730)------------------------------
% 0.17/0.35  % (13730)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.35  % (13730)Termination reason: Refutation
% 0.17/0.35  
% 0.17/0.35  % (13730)Memory used [KB]: 840
% 0.17/0.35  % (13730)Time elapsed: 0.009 s
% 0.17/0.35  % (13730)Instructions burned: 15 (million)
% 0.17/0.35  % (13724)Success in time 0.021 s
%------------------------------------------------------------------------------