%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD006-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n006.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 16:05:22 EDT 2022

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   13 (   1 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f38,plain,
    $false,
    inference(subsumption_resolution,[],[f37,f29]) ).

fof(f29,plain,
    ~ sum(additive_identity,sF0,additive_identity),
    inference(definition_folding,[],[f27,f28]) ).

fof(f28,plain,
    additive_inverse(additive_identity) = sF0,
    introduced(function_definition,[]) ).

fof(f27,axiom,
    ~ sum(additive_identity,additive_inverse(additive_identity),additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_1) ).

fof(f37,plain,
    sum(additive_identity,sF0,additive_identity),
    inference(resolution,[],[f33,f5]) ).

fof(f5,axiom,
    ! [X3,X0,X5] :
      ( ~ sum(X0,X3,X5)
      | sum(X3,X0,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).

fof(f33,plain,
    sum(sF0,additive_identity,additive_identity),
    inference(subsumption_resolution,[],[f32,f14]) ).

fof(f14,axiom,
    defined(additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).

fof(f32,plain,
    ( ~ defined(additive_identity)
    | sum(sF0,additive_identity,additive_identity) ),
    inference(superposition,[],[f4,f28]) ).

fof(f4,axiom,
    ! [X0] :
      ( sum(additive_inverse(X0),X0,additive_identity)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : FLD006-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32  % Computer : n006.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Aug 29 20:32:40 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.18/0.47  % (10261)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.48  % (10277)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.48  % (10261)First to succeed.
% 0.18/0.48  % (10261)Refutation found. Thanks to Tanya!
% 0.18/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48  % (10261)------------------------------
% 0.18/0.48  % (10261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (10261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (10261)Termination reason: Refutation
% 0.18/0.48  
% 0.18/0.48  % (10261)Memory used [KB]: 5884
% 0.18/0.48  % (10261)Time elapsed: 0.096 s
% 0.18/0.48  % (10261)Instructions burned: 2 (million)
% 0.18/0.48  % (10261)------------------------------
% 0.18/0.48  % (10261)------------------------------
% 0.18/0.48  % (10258)Success in time 0.147 s
%------------------------------------------------------------------------------