%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO017-3 : TPTP v8.1.0. Released v1.0.0.
% 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 : n013.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 16:11:32 EDT 2022

% Result   : Unsatisfiable 1.30s 0.54s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   3   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f63,plain,
    $false,
    inference(subsumption_resolution,[],[f62,f23]) ).

fof(f23,axiom,
    ~ equidistant(u,v,x,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetry) ).

fof(f62,plain,
    equidistant(u,v,x,w),
    inference(resolution,[],[f45,f20]) ).

fof(f20,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X10,X3,X5,X0)
      | equidistant(X5,X0,X10,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).

fof(f45,plain,
    equidistant(x,w,u,v),
    inference(resolution,[],[f21,f31]) ).

fof(f31,plain,
    equidistant(w,x,u,v),
    inference(resolution,[],[f20,f22]) ).

fof(f22,axiom,
    equidistant(u,v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).

fof(f21,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X10,X3,X5,X0)
      | equidistant(X3,X10,X5,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO017-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 21:00:32 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 1.30/0.54  % (20212)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.54  % (20212)First to succeed.
% 1.30/0.54  % (20232)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.30/0.54  % (20212)Refutation found. Thanks to Tanya!
% 1.30/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.30/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.54  % (20212)------------------------------
% 1.30/0.54  % (20212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.54  % (20212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.54  % (20212)Termination reason: Refutation
% 1.30/0.54  
% 1.30/0.54  % (20212)Memory used [KB]: 5500
% 1.30/0.54  % (20212)Time elapsed: 0.115 s
% 1.30/0.54  % (20212)Instructions burned: 4 (million)
% 1.30/0.54  % (20212)------------------------------
% 1.30/0.54  % (20212)------------------------------
% 1.30/0.54  % (20207)Success in time 0.182 s
%------------------------------------------------------------------------------