%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP021-1 : 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_sat --cores 0 -t %d %s

% Computer : n022.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 16:19:07 EDT 2022

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : Refutation 0.18s
% 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    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f58,plain,
    $false,
    inference(trivial_inequality_removal,[],[f57]) ).

fof(f57,plain,
    identity != identity,
    inference(superposition,[],[f9,f51]) ).

fof(f51,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(resolution,[],[f17,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : product(X0,X1,multiply(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1) ).

fof(f17,plain,
    ! [X6,X7] :
      ( ~ product(X7,inverse(X7),X6)
      | identity = X6 ),
    inference(resolution,[],[f6,f4]) ).

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

fof(f6,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X3)
      | X2 = X3
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).

fof(f9,axiom,
    identity != multiply(a,inverse(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_X_times_inverse_X_is_id) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : GRP021-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32  % Computer : n022.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Mon Aug 29 22:09:11 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.47  % (27617)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.48  % (27616)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.48  % (27618)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.48  % (27624)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.48  % (27624)First to succeed.
% 0.18/0.48  % (27624)Refutation found. Thanks to Tanya!
% 0.18/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48  % (27624)------------------------------
% 0.18/0.48  % (27624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (27624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (27624)Termination reason: Refutation
% 0.18/0.48  
% 0.18/0.48  % (27624)Memory used [KB]: 5373
% 0.18/0.48  % (27624)Time elapsed: 0.097 s
% 0.18/0.48  % (27624)Instructions burned: 2 (million)
% 0.18/0.48  % (27624)------------------------------
% 0.18/0.48  % (27624)------------------------------
% 0.18/0.48  % (27610)Success in time 0.151 s
%------------------------------------------------------------------------------