%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP019-1 : 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 : n010.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 16:19:07 EDT 2022

% Result   : Unsatisfiable 0.15s 0.46s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   8 unt;   0 def)
%            Number of atoms       :   13 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f24,plain,
    $false,
    inference(subsumption_resolution,[],[f23,f11]) ).

fof(f11,plain,
    a != sF0,
    inference(definition_folding,[],[f9,f10]) ).

fof(f10,plain,
    multiply(identity,a) = sF0,
    introduced(function_definition,[]) ).

fof(f9,axiom,
    a != multiply(identity,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_id_times_X_is_X) ).

fof(f23,plain,
    a = sF0,
    inference(resolution,[],[f13,f12]) ).

fof(f12,plain,
    product(identity,a,sF0),
    inference(superposition,[],[f5,f10]) ).

fof(f5,axiom,
    ! [X0,X1] : product(X0,X1,multiply(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ~ product(identity,X0,X1)
      | X0 = X1 ),
    inference(resolution,[],[f6,f1]) ).

fof(f1,axiom,
    ! [X0] : product(identity,X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X3)
      | ~ product(X0,X1,X2)
      | X2 = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : GRP019-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.30  % Computer : n010.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Aug 29 22:00:29 EDT 2022
% 0.10/0.30  % CPUTime    : 
% 0.15/0.45  % (5055)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.15/0.45  % (5063)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.15/0.45  % (5056)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.15/0.46  % (5063)First to succeed.
% 0.15/0.46  % (5063)Refutation found. Thanks to Tanya!
% 0.15/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.46  % (5063)------------------------------
% 0.15/0.46  % (5063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.46  % (5063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.46  % (5063)Termination reason: Refutation
% 0.15/0.46  
% 0.15/0.46  % (5063)Memory used [KB]: 5373
% 0.15/0.46  % (5063)Time elapsed: 0.097 s
% 0.15/0.46  % (5063)Instructions burned: 2 (million)
% 0.15/0.46  % (5063)------------------------------
% 0.15/0.46  % (5063)------------------------------
% 0.15/0.46  % (5049)Success in time 0.148 s
%------------------------------------------------------------------------------