%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD016-3 : 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 : n013.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 16:05:28 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   14 (  10 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f65,plain,
    $false,
    inference(subsumption_resolution,[],[f62,f63]) ).

fof(f63,plain,
    ~ sum(additive_inverse(a),b,v),
    inference(unit_resulting_resolution,[],[f31,f33,f39,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X3,X5,X1)
      | ~ sum(X0,X1,X2)
      | sum(X4,X5,X2)
      | ~ sum(X0,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_2) ).

fof(f39,plain,
    sum(additive_inverse(a),a,additive_identity),
    inference(unit_resulting_resolution,[],[f27,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( sum(additive_inverse(X0),X0,additive_identity)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).

fof(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).

fof(f33,axiom,
    ~ sum(additive_identity,u,v),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_7) ).

fof(f31,axiom,
    sum(a,u,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_5) ).

fof(f62,plain,
    sum(additive_inverse(a),b,v),
    inference(unit_resulting_resolution,[],[f44,f32,f39,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X4,X5,X2)
      | ~ sum(X3,X5,X1)
      | sum(X0,X1,X2)
      | ~ sum(X0,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_1) ).

fof(f32,axiom,
    sum(a,v,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).

fof(f44,plain,
    sum(additive_identity,v,v),
    inference(unit_resulting_resolution,[],[f30,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( sum(additive_identity,X0,X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).

fof(f30,axiom,
    defined(v),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_is_defined) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : FLD016-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 20:31:32 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (28437)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.50  % (28436)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.50  % (28436)First to succeed.
% 0.20/0.50  % (28444)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.51  % (28436)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (28436)------------------------------
% 0.20/0.51  % (28436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (28436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (28436)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (28436)Memory used [KB]: 5884
% 0.20/0.51  % (28436)Time elapsed: 0.092 s
% 0.20/0.51  % (28436)Instructions burned: 3 (million)
% 0.20/0.51  % (28436)------------------------------
% 0.20/0.51  % (28436)------------------------------
% 0.20/0.51  % (28428)Success in time 0.147 s
%------------------------------------------------------------------------------