%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP018-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Mon May 20 21:13:54 EDT 2024

% Result   : Unsatisfiable 0.15s 0.37s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   11 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f28,plain,
    $false,
    inference(trivial_inequality_removal,[],[f26]) ).

fof(f26,plain,
    a != a,
    inference(superposition,[],[f9,f25]) ).

fof(f25,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(resolution,[],[f11,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : product(X0,X1,multiply(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ~ product(X1,identity,X0)
      | X0 = X1 ),
    inference(resolution,[],[f6,f2]) ).

fof(f2,axiom,
    ! [X0] : product(X0,identity,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X3)
      | X2 = X3
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).

fof(f9,axiom,
    a != multiply(a,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_X_times_id_is_X) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GRP018-1 : TPTP v8.2.0. Released v1.0.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n011.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 19 05:48:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (17798)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (17801)WARNING: value z3 for option sas not known
% 0.15/0.37  % (17801)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37  % (17801)First to succeed.
% 0.15/0.37  % (17801)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17798"
% 0.15/0.37  % (17801)Refutation found. Thanks to Tanya!
% 0.15/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37  % (17801)------------------------------
% 0.15/0.37  % (17801)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37  % (17801)Termination reason: Refutation
% 0.15/0.37  
% 0.15/0.37  % (17801)Memory used [KB]: 772
% 0.15/0.37  % (17801)Time elapsed: 0.003 s
% 0.15/0.37  % (17801)Instructions burned: 3 (million)
% 0.15/0.37  % (17798)Success in time 0.013 s
%------------------------------------------------------------------------------