%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP030-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n011.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 16:13:46 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   15 (   9   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f98,plain,
    $false,
    inference(subsumption_resolution,[],[f93,f61]) ).

fof(f61,plain,
    ! [X0] : product(inverse(inverse(X0)),identity,X0),
    inference(unit_resulting_resolution,[],[f5,f6,f6,f3]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X0,X1,X4)
      | ~ product(X4,X2,X3)
      | ~ product(X1,X2,X5)
      | product(X0,X5,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).

fof(f6,axiom,
    ! [X6] : product(inverse(X6),X6,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).

fof(f5,axiom,
    ! [X6] : product(identity,X6,X6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).

fof(f93,plain,
    ~ product(inverse(inverse(a)),identity,a),
    inference(unit_resulting_resolution,[],[f6,f5,f56,f4]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X1,X2,X5)
      | ~ product(X0,X1,X4)
      | product(X4,X2,X3)
      | ~ product(X0,X5,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).

fof(f56,plain,
    ~ product(a,inverse(a),identity),
    inference(unit_resulting_resolution,[],[f5,f7,f6,f3]) ).

fof(f7,axiom,
    ~ product(a,identity,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_identity_is_a_right_identity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GRP030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:06:40 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (3255)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.51  % (3247)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.51  % (3239)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52  % (3255)First to succeed.
% 0.20/0.52  % (3255)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (3255)------------------------------
% 0.20/0.52  % (3255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (3255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (3255)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (3255)Memory used [KB]: 5884
% 0.20/0.52  % (3255)Time elapsed: 0.064 s
% 0.20/0.52  % (3255)Instructions burned: 5 (million)
% 0.20/0.52  % (3255)------------------------------
% 0.20/0.52  % (3255)------------------------------
% 0.20/0.52  % (3232)Success in time 0.167 s
%------------------------------------------------------------------------------