TSTP Solution File: SYN311-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN311-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n017.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 : Wed Aug 31 19:37:27 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (  12 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   29 (  19   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f79,plain,
    $false,
    inference(subsumption_resolution,[],[f78,f8]) ).

fof(f8,plain,
    p(d,c,b,a),
    inference(resolution,[],[f2,f5]) ).

fof(f5,axiom,
    p(a,b,c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ p(X1,X2,X3,X0)
      | p(X0,X3,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f78,plain,
    ~ p(d,c,b,a),
    inference(resolution,[],[f75,f9]) ).

fof(f9,plain,
    ! [X2,X3,X0,X1] :
      ( p(g(X3),X2,X1,X0)
      | ~ p(X0,X1,X2,X3) ),
    inference(resolution,[],[f3,f2]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1] :
      ( p(X1,X2,X3,g(X0))
      | ~ p(X1,X2,X3,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f75,plain,
    ~ p(g(a),b,c,d),
    inference(resolution,[],[f72,f36]) ).

fof(f36,plain,
    ! [X6,X7,X4,X5] :
      ( p(X6,X7,f(X4),X5)
      | ~ p(X4,X5,X6,X7) ),
    inference(resolution,[],[f12,f1]) ).

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

fof(f12,plain,
    ! [X6,X7,X4,X5] :
      ( p(X7,f(X4),X5,X6)
      | ~ p(X4,X5,X6,X7) ),
    inference(resolution,[],[f4,f1]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( p(f(X1),X2,X3,X0)
      | ~ p(X1,X2,X3,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

fof(f72,plain,
    ~ p(c,d,f(g(a)),b),
    inference(resolution,[],[f69,f10]) ).

fof(f10,plain,
    ! [X6,X7,X4,X5] :
      ( p(g(X7),X4,X5,X6)
      | ~ p(X4,X5,X6,X7) ),
    inference(resolution,[],[f3,f1]) ).

fof(f69,plain,
    ~ p(g(b),c,d,f(g(a))),
    inference(resolution,[],[f64,f36]) ).

fof(f64,plain,
    ~ p(d,f(g(a)),f(g(b)),c),
    inference(resolution,[],[f59,f10]) ).

fof(f59,plain,
    ~ p(g(c),d,f(g(a)),f(g(b))),
    inference(resolution,[],[f38,f33]) ).

fof(f33,plain,
    ! [X6,X7,X4,X5] :
      ( p(f(X4),X7,X6,X5)
      | ~ p(X4,X5,X6,X7) ),
    inference(resolution,[],[f11,f1]) ).

fof(f11,plain,
    ! [X2,X3,X0,X1] :
      ( p(X3,X2,X1,f(X0))
      | ~ p(X0,X1,X2,X3) ),
    inference(resolution,[],[f4,f2]) ).

fof(f38,plain,
    ~ p(f(g(c)),f(g(b)),f(g(a)),d),
    inference(resolution,[],[f21,f10]) ).

fof(f21,plain,
    ~ p(g(d),f(g(c)),f(g(b)),f(g(a))),
    inference(resolution,[],[f6,f4]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN311-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:06:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  % (17369)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.48  % (17377)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.20/0.49  % (17369)First to succeed.
% 0.20/0.49  % (17363)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.50  % (17385)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.20/0.50  % (17369)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (17369)------------------------------
% 0.20/0.50  % (17369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (17369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (17369)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (17369)Memory used [KB]: 5373
% 0.20/0.50  % (17369)Time elapsed: 0.105 s
% 0.20/0.50  % (17369)Instructions burned: 4 (million)
% 0.20/0.50  % (17369)------------------------------
% 0.20/0.50  % (17369)------------------------------
% 0.20/0.50  % (17361)Success in time 0.152 s
%------------------------------------------------------------------------------