%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP496-1 : 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_uns --cores 0 -t %d %s

% Computer : n026.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 16:16:01 EDT 2022

% Result   : Unsatisfiable 0.21s 0.49s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (  17 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f34,plain,
    $false,
    inference(subsumption_resolution,[],[f33,f11]) ).

fof(f11,plain,
    identity != sF2,
    inference(definition_folding,[],[f6,f10,f9,f8]) ).

fof(f8,plain,
    sF0 = double_divide(a1,identity),
    introduced(function_definition,[]) ).

fof(f9,plain,
    sF1 = double_divide(a1,sF0),
    introduced(function_definition,[]) ).

fof(f10,plain,
    double_divide(sF1,identity) = sF2,
    introduced(function_definition,[]) ).

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

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

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
    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) ).

fof(f33,plain,
    identity = sF2,
    inference(forward_demodulation,[],[f31,f15]) ).

fof(f15,plain,
    double_divide(identity,identity) = sF2,
    inference(backward_demodulation,[],[f10,f14]) ).

fof(f14,plain,
    identity = sF1,
    inference(forward_demodulation,[],[f12,f9]) ).

fof(f12,plain,
    identity = double_divide(a1,sF0),
    inference(superposition,[],[f7,f8]) ).

fof(f7,plain,
    ! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
    inference(definition_unfolding,[],[f4,f3]) ).

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

fof(f31,plain,
    identity = double_divide(identity,identity),
    inference(superposition,[],[f1,f7]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity)) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP496-1 : TPTP v8.1.0. Released v2.6.0.
% 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
% 0.13/0.35  % Computer : n026.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 22:46:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.47  % (14006)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.21/0.48  % (14015)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.21/0.49  % (14006)First to succeed.
% 0.21/0.49  % (14006)Refutation found. Thanks to Tanya!
% 0.21/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49  % (14006)------------------------------
% 0.21/0.49  % (14006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49  % (14006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49  % (14006)Termination reason: Refutation
% 0.21/0.49  
% 0.21/0.49  % (14006)Memory used [KB]: 5500
% 0.21/0.49  % (14006)Time elapsed: 0.069 s
% 0.21/0.49  % (14006)Instructions burned: 3 (million)
% 0.21/0.49  % (14006)------------------------------
% 0.21/0.49  % (14006)------------------------------
% 0.21/0.49  % (14004)Success in time 0.128 s
%------------------------------------------------------------------------------