%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET838-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n008.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 18:22:28 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   6 unt;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   15 (   9   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1374,plain,
    $false,
    inference(subsumption_resolution,[],[f1373,f1364]) ).

fof(f1364,plain,
    v_g(v_x) != v_xa(v_g(v_x)),
    inference(trivial_inequality_removal,[],[f1363]) ).

fof(f1363,plain,
    ( v_g(v_x) != v_g(v_x)
    | v_g(v_x) != v_xa(v_g(v_x)) ),
    inference(superposition,[],[f1361,f1358]) ).

fof(f1358,axiom,
    v_x = v_f(v_g(v_x)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1361,axiom,
    ! [X41] :
      ( v_g(v_f(X41)) != X41
      | v_xa(X41) != X41 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f1373,plain,
    v_g(v_x) = v_xa(v_g(v_x)),
    inference(backward_demodulation,[],[f1366,f1370]) ).

fof(f1370,plain,
    v_x = v_f(v_xa(v_g(v_x))),
    inference(trivial_inequality_removal,[],[f1369]) ).

fof(f1369,plain,
    ( v_f(v_xa(v_g(v_x))) != v_f(v_xa(v_g(v_x)))
    | v_x = v_f(v_xa(v_g(v_x))) ),
    inference(superposition,[],[f1359,f1366]) ).

fof(f1359,axiom,
    ! [X41] :
      ( v_f(v_g(X41)) != X41
      | v_x = X41 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1366,plain,
    v_xa(v_g(v_x)) = v_g(v_f(v_xa(v_g(v_x)))),
    inference(trivial_inequality_removal,[],[f1365]) ).

fof(f1365,plain,
    ( v_g(v_x) != v_g(v_x)
    | v_xa(v_g(v_x)) = v_g(v_f(v_xa(v_g(v_x)))) ),
    inference(superposition,[],[f1360,f1358]) ).

fof(f1360,axiom,
    ! [X41] :
      ( v_g(v_f(X41)) != X41
      | v_xa(X41) = v_g(v_f(v_xa(X41))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SET838-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 14:26:55 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.48  % (27035)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49  % (27051)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.49  % (27043)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.50  % (27035)First to succeed.
% 0.19/0.50  % (27035)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (27035)------------------------------
% 0.19/0.50  % (27035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (27035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (27035)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (27035)Memory used [KB]: 6908
% 0.19/0.50  % (27035)Time elapsed: 0.088 s
% 0.19/0.50  % (27035)Instructions burned: 5 (million)
% 0.19/0.50  % (27035)------------------------------
% 0.19/0.50  % (27035)------------------------------
% 0.19/0.50  % (27027)Success in time 0.159 s
%------------------------------------------------------------------------------