%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO020-3 : 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 : 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 : Wed Aug 31 16:11:33 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   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   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f64,plain,
    $false,
    inference(subsumption_resolution,[],[f62,f46]) ).

fof(f46,plain,
    ~ equidistant(u,v,w,x),
    inference(consistent_polarity_flipping,[],[f22]) ).

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

fof(f62,plain,
    equidistant(u,v,w,x),
    inference(resolution,[],[f49,f37]) ).

fof(f37,plain,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X5,X0,X10,X3)
      | equidistant(X10,X3,X5,X0) ),
    inference(consistent_polarity_flipping,[],[f20]) ).

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

fof(f49,plain,
    equidistant(w,x,u,v),
    inference(resolution,[],[f36,f38]) ).

fof(f38,plain,
    equidistant(x,w,u,v),
    inference(consistent_polarity_flipping,[],[f23]) ).

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

fof(f36,plain,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X3,X10,X5,X0)
      | equidistant(X10,X3,X5,X0) ),
    inference(consistent_polarity_flipping,[],[f21]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO020-3 : TPTP v8.1.0. Released v1.0.0.
% 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
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 21:17:35 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (1330)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49  % (1340)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49  % (1340)First to succeed.
% 0.19/0.49  % (1340)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (1340)------------------------------
% 0.19/0.49  % (1340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (1340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (1340)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (1340)Memory used [KB]: 895
% 0.19/0.49  % (1340)Time elapsed: 0.077 s
% 0.19/0.49  % (1340)Instructions burned: 2 (million)
% 0.19/0.49  % (1340)------------------------------
% 0.19/0.49  % (1340)------------------------------
% 0.19/0.49  % (1319)Success in time 0.143 s
%------------------------------------------------------------------------------