%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO056-2 : 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 : n016.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 16:11:41 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (  11 unt;   0 def)
%            Number of atoms       :   13 (   9 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   5   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-4 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f33,plain,
    $false,
    inference(trivial_inequality_removal,[],[f32]) ).

fof(f32,plain,
    v != v,
    inference(superposition,[],[f24,f29]) ).

fof(f29,plain,
    v = sF0,
    inference(resolution,[],[f28,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(f28,plain,
    equidistant(v,sF0,v,v),
    inference(superposition,[],[f5,f23]) ).

fof(f23,plain,
    extension(v,v,v,v) = sF0,
    introduced(function_definition,[]) ).

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(f24,plain,
    v != sF0,
    inference(definition_folding,[],[f22,f23]) ).

fof(f22,plain,
    v != extension(v,v,v,v),
    inference(definition_unfolding,[],[f21,f19,f20]) ).

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

fof(f19,axiom,
    ! [X3,X10] : reflection(X10,X3) = extension(X10,X3,X10,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflection) ).

fof(f21,axiom,
    v != reflection(u,v),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_equals_reflection) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GEO056-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % 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 : n016.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 21:25:45 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.47  % (22246)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49  % (22246)First to succeed.
% 0.20/0.49  % (22246)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (22246)------------------------------
% 0.20/0.49  % (22246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (22246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (22246)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (22246)Memory used [KB]: 5373
% 0.20/0.49  % (22246)Time elapsed: 0.098 s
% 0.20/0.49  % (22246)Instructions burned: 2 (million)
% 0.20/0.49  % (22246)------------------------------
% 0.20/0.49  % (22246)------------------------------
% 0.20/0.49  % (22239)Success in time 0.144 s
%------------------------------------------------------------------------------