%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP457-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : 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 16:22:34 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   11 (   8 unt;   3 typ;   0 def)
%            Number of atoms       :    8 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   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;   2 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   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(f37,plain,
    $false,
    inference(subsumption_resolution,[],[f7,f9]) ).

fof(f9,plain,
    ! [X0] : divide(X0,X0) = identity,
    inference(literal_reordering,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : divide(X0,X0) = identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).

fof(f7,plain,
    identity != divide(divide(identity,a1),divide(identity,a1)),
    inference(literal_reordering,[],[f6]) ).

fof(f6,plain,
    identity != divide(divide(identity,a1),divide(identity,a1)),
    inference(definition_unfolding,[],[f5,f2,f3]) ).

fof(f3,axiom,
    ! [X0] : divide(identity,X0) = inverse(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

fof(f5,axiom,
    identity != multiply(inverse(a1),a1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP457-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --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 22:25:47 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (12527)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (12526)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)
% 0.20/0.52  % (12534)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)
% 0.20/0.52  % (12528)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (12534)First to succeed.
% 0.20/0.53  % (12534)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (12534)------------------------------
% 0.20/0.53  % (12534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12534)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (12534)Memory used [KB]: 5628
% 0.20/0.53  % (12534)Time elapsed: 0.003 s
% 0.20/0.53  % (12534)Instructions burned: 3 (million)
% 0.20/0.53  % (12534)------------------------------
% 0.20/0.53  % (12534)------------------------------
% 0.20/0.53  % (12519)Success in time 0.168 s
%------------------------------------------------------------------------------