%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : FLD059-4 : 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_sat --cores 0 -t %d %s

% Computer : n007.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 16:06:57 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   25 (  13   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f718,plain,
    $false,
    inference(subsumption_resolution,[],[f705,f31]) ).

fof(f31,axiom,
    ~ less_or_equal(additive_identity,u),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_5) ).

fof(f705,plain,
    less_or_equal(additive_identity,u),
    inference(resolution,[],[f551,f29]) ).

fof(f29,axiom,
    less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).

fof(f551,plain,
    ! [X2] :
      ( ~ less_or_equal(X2,a)
      | less_or_equal(X2,u) ),
    inference(resolution,[],[f523,f22]) ).

fof(f22,axiom,
    ! [X3,X0,X5] :
      ( ~ less_or_equal(X3,X5)
      | ~ less_or_equal(X0,X3)
      | less_or_equal(X0,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_order_relation) ).

fof(f523,plain,
    less_or_equal(a,u),
    inference(subsumption_resolution,[],[f522,f27]) ).

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

fof(f522,plain,
    ( ~ defined(a)
    | less_or_equal(a,u) ),
    inference(subsumption_resolution,[],[f513,f29]) ).

fof(f513,plain,
    ( ~ less_or_equal(additive_identity,a)
    | ~ defined(a)
    | less_or_equal(a,u) ),
    inference(resolution,[],[f510,f3]) ).

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

fof(f510,plain,
    ! [X44,X43] :
      ( ~ sum(X44,a,X43)
      | ~ less_or_equal(X44,a)
      | less_or_equal(X43,u) ),
    inference(resolution,[],[f24,f30]) ).

fof(f30,axiom,
    sum(a,a,u),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_4) ).

fof(f24,axiom,
    ! [X3,X0,X1,X4,X5] :
      ( ~ sum(X3,X5,X1)
      | less_or_equal(X4,X1)
      | ~ less_or_equal(X0,X3)
      | ~ sum(X0,X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : FLD059-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n007.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 20:27:45 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  % (3924)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.48  % (3916)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (3916)First to succeed.
% 0.20/0.51  % (3916)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  % (3916)------------------------------
% 0.20/0.51  % (3916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (3916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (3916)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (3916)Memory used [KB]: 5628
% 0.20/0.51  % (3916)Time elapsed: 0.088 s
% 0.20/0.51  % (3916)Instructions burned: 21 (million)
% 0.20/0.51  % (3916)------------------------------
% 0.20/0.51  % (3916)------------------------------
% 0.20/0.51  % (3902)Success in time 0.158 s
%------------------------------------------------------------------------------