%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP020-1 : 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 : 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 16:19:07 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   5 unt;   0 def)
%            Number of atoms       :   10 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    7 (   4   ~;   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(f40,plain,
    $false,
    inference(subsumption_resolution,[],[f9,f38]) ).

fof(f38,plain,
    ! [X0] : identity = multiply(inverse(X0),X0),
    inference(resolution,[],[f16,f5]) ).

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

fof(f16,plain,
    ! [X4,X5] :
      ( ~ product(inverse(X4),X4,X5)
      | identity = X5 ),
    inference(resolution,[],[f6,f3]) ).

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : GRP020-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13  % 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 22:03:47 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (980)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50  % (988)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51  % (980)First to succeed.
% 0.20/0.51  % (980)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (980)------------------------------
% 0.20/0.51  % (980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (980)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (980)Memory used [KB]: 5373
% 0.20/0.51  % (980)Time elapsed: 0.074 s
% 0.20/0.51  % (980)Instructions burned: 2 (million)
% 0.20/0.51  % (980)------------------------------
% 0.20/0.51  % (980)------------------------------
% 0.20/0.51  % (955)Success in time 0.153 s
%------------------------------------------------------------------------------