%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO039-2 : 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 : n021.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 16:11:37 EDT 2022

% Result   : Unsatisfiable 0.19s 0.46s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (  11 unt;   0 def)
%            Number of atoms       :   15 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-4 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f46,plain,
    $false,
    inference(resolution,[],[f32,f25]) ).

fof(f25,plain,
    ~ between(v,x,x),
    inference(backward_demodulation,[],[f21,f23]) ).

fof(f23,plain,
    w = x,
    inference(resolution,[],[f7,f22]) ).

fof(f22,plain,
    between(x,w,x),
    inference(definition_unfolding,[],[f19,f20]) ).

fof(f20,axiom,
    u = x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_x) ).

fof(f19,axiom,
    between(u,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_x) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_betweeness) ).

fof(f21,axiom,
    ~ between(v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary) ).

fof(f32,plain,
    ! [X3,X4] : between(X3,X4,X4),
    inference(superposition,[],[f4,f28]) ).

fof(f28,plain,
    ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
    inference(resolution,[],[f5,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X2)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).

fof(f5,axiom,
    ! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).

fof(f4,axiom,
    ! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : GEO039-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 20:57:40 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.45  % (22922)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.19/0.45  % (22914)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.19/0.45  % (22922)First to succeed.
% 0.19/0.46  % (22922)Refutation found. Thanks to Tanya!
% 0.19/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46  % (22922)------------------------------
% 0.19/0.46  % (22922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46  % (22922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46  % (22922)Termination reason: Refutation
% 0.19/0.46  
% 0.19/0.46  % (22922)Memory used [KB]: 895
% 0.19/0.46  % (22922)Time elapsed: 0.055 s
% 0.19/0.46  % (22922)Instructions burned: 3 (million)
% 0.19/0.46  % (22922)------------------------------
% 0.19/0.46  % (22922)------------------------------
% 0.19/0.46  % (22895)Success in time 0.118 s
%------------------------------------------------------------------------------