%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP158-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 16:20:36 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   9 unt;   3 typ;   0 def)
%            Number of atoms       :    9 (   8 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_3,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_4,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f205,plain,
    $false,
    inference(trivial_inequality_removal,[],[f204]) ).

fof(f204,plain,
    multiply(c,a) != multiply(c,a),
    inference(forward_demodulation,[],[f194,f30]) ).

fof(f30,plain,
    a = greatest_lower_bound(a,b),
    inference(literal_reordering,[],[f16]) ).

fof(f16,axiom,
    a = greatest_lower_bound(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_mono2b_1) ).

fof(f194,plain,
    multiply(c,a) != multiply(c,greatest_lower_bound(a,b)),
    inference(superposition,[],[f24,f27]) ).

fof(f27,plain,
    ! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)),
    inference(literal_reordering,[],[f13]) ).

fof(f13,axiom,
    ! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_glb1) ).

fof(f24,plain,
    multiply(c,a) != greatest_lower_bound(multiply(c,a),multiply(c,b)),
    inference(literal_reordering,[],[f17]) ).

fof(f17,axiom,
    multiply(c,a) != greatest_lower_bound(multiply(c,a),multiply(c,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_mono2b) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP158-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 22:02:30 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  % (10459)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.48  % (10451)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (10459)First to succeed.
% 0.19/0.50  TRYING [1]
% 0.19/0.50  % (10459)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (10459)------------------------------
% 0.19/0.50  % (10459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (10459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (10459)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (10459)Memory used [KB]: 5884
% 0.19/0.50  % (10459)Time elapsed: 0.013 s
% 0.19/0.50  % (10459)Instructions burned: 10 (million)
% 0.19/0.50  % (10459)------------------------------
% 0.19/0.50  % (10459)------------------------------
% 0.19/0.50  % (10444)Success in time 0.159 s
%------------------------------------------------------------------------------