%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD058-1 : 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 : n029.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 16:05:56 EDT 2022

% Result   : Unsatisfiable 1.56s 0.58s
% Output   : Refutation 1.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (   9 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  11   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f87,plain,
    $false,
    inference(subsumption_resolution,[],[f85,f32]) ).

fof(f32,axiom,
    ~ equalish(a,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_5) ).

fof(f85,plain,
    equalish(a,additive_identity),
    inference(resolution,[],[f41,f53]) ).

fof(f53,plain,
    equalish(a,b),
    inference(subsumption_resolution,[],[f51,f31]) ).

fof(f31,axiom,
    less_or_equal(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).

fof(f51,plain,
    ( equalish(a,b)
    | ~ less_or_equal(a,b) ),
    inference(resolution,[],[f46,f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ~ less_or_equal(X1,X0)
      | equalish(X0,X1)
      | ~ less_or_equal(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_of_order_relation) ).

fof(f46,plain,
    less_or_equal(b,a),
    inference(resolution,[],[f34,f42]) ).

fof(f42,plain,
    equalish(additive_identity,b),
    inference(resolution,[],[f33,f22]) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( ~ equalish(X1,X0)
      | equalish(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).

fof(f33,axiom,
    equalish(b,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_equals_additive_identity_6) ).

fof(f34,plain,
    ! [X0] :
      ( ~ equalish(additive_identity,X0)
      | less_or_equal(X0,a) ),
    inference(resolution,[],[f30,f26]) ).

fof(f26,axiom,
    ! [X2,X0,X1] :
      ( ~ less_or_equal(X0,X2)
      | ~ equalish(X0,X1)
      | less_or_equal(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_order_relation) ).

fof(f30,axiom,
    less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).

fof(f41,plain,
    ! [X0] :
      ( ~ equalish(X0,b)
      | equalish(X0,additive_identity) ),
    inference(resolution,[],[f33,f23]) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( ~ equalish(X1,X2)
      | ~ equalish(X0,X1)
      | equalish(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : FLD058-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.14  % 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 : n029.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 20:52:41 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.56  % (23633)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.57  % (23642)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)
% 0.20/0.57  % (23642)First to succeed.
% 0.20/0.58  % (23633)Also succeeded, but the first one will report.
% 1.56/0.58  % (23642)Refutation found. Thanks to Tanya!
% 1.56/0.58  % SZS status Unsatisfiable for theBenchmark
% 1.56/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.58  % (23642)------------------------------
% 1.56/0.58  % (23642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.58  % (23642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.58  % (23642)Termination reason: Refutation
% 1.56/0.58  
% 1.56/0.58  % (23642)Memory used [KB]: 5884
% 1.56/0.58  % (23642)Time elapsed: 0.146 s
% 1.56/0.58  % (23642)Instructions burned: 3 (million)
% 1.56/0.58  % (23642)------------------------------
% 1.56/0.58  % (23642)------------------------------
% 1.56/0.58  % (23632)Success in time 0.222 s
%------------------------------------------------------------------------------