%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD070-4 : 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_uns --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 16:06:03 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :   27 (   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    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f155,plain,
    $false,
    inference(subsumption_resolution,[],[f149,f33]) ).

fof(f33,axiom,
    ~ less_or_equal(additive_identity,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_7) ).

fof(f149,plain,
    less_or_equal(additive_identity,c),
    inference(resolution,[],[f80,f31]) ).

fof(f31,axiom,
    less_or_equal(additive_identity,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_5) ).

fof(f80,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,b)
      | less_or_equal(X0,c) ),
    inference(resolution,[],[f69,f22]) ).

fof(f22,axiom,
    ! [X3,X0,X5] :
      ( ~ less_or_equal(X3,X5)
      | less_or_equal(X0,X5)
      | ~ less_or_equal(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_order_relation) ).

fof(f69,plain,
    less_or_equal(b,c),
    inference(subsumption_resolution,[],[f68,f28]) ).

fof(f28,axiom,
    defined(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).

fof(f68,plain,
    ( less_or_equal(b,c)
    | ~ defined(b) ),
    inference(subsumption_resolution,[],[f56,f30]) ).

fof(f30,axiom,
    less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).

fof(f56,plain,
    ( ~ less_or_equal(additive_identity,a)
    | ~ defined(b)
    | less_or_equal(b,c) ),
    inference(resolution,[],[f43,f3]) ).

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

fof(f43,plain,
    ! [X6,X7] :
      ( ~ sum(X7,b,X6)
      | ~ less_or_equal(X7,a)
      | less_or_equal(X6,c) ),
    inference(resolution,[],[f32,f24]) ).

fof(f24,axiom,
    ! [X3,X0,X1,X4,X5] :
      ( ~ sum(X3,X5,X1)
      | less_or_equal(X4,X1)
      | ~ sum(X0,X5,X4)
      | ~ less_or_equal(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : FLD070-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n010.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 20:38:14 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.49  % (26352)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.49  % (26359)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49  % (26359)First to succeed.
% 0.20/0.50  % (26359)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (26359)------------------------------
% 0.20/0.50  % (26359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (26359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (26359)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (26359)Memory used [KB]: 5884
% 0.20/0.50  % (26359)Time elapsed: 0.089 s
% 0.20/0.50  % (26359)Instructions burned: 3 (million)
% 0.20/0.50  % (26359)------------------------------
% 0.20/0.50  % (26359)------------------------------
% 0.20/0.50  % (26344)Success in time 0.152 s
%------------------------------------------------------------------------------