%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP028-1 : 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 : n017.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 16:19:10 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 (   5 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   0 con; 1-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,plain,
    $false,
    inference(resolution,[],[f10,f4]) ).

fof(f4,axiom,
    ! [X0] : ~ product(not_identity(X0),X0,not_identity(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).

fof(f10,plain,
    ! [X0,X1] : product(X0,right_solution(X1,X1),X0),
    inference(resolution,[],[f8,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : product(left_solution(X0,X1),X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_soln) ).

fof(f8,plain,
    ! [X2,X3,X0,X1] :
      ( ~ product(left_solution(X1,X0),X2,X3)
      | product(X0,right_solution(X1,X2),X3) ),
    inference(resolution,[],[f6,f2]) ).

fof(f6,plain,
    ! [X8,X6,X9,X7,X5] :
      ( ~ product(X5,X8,X9)
      | product(X9,right_solution(X8,X6),X7)
      | ~ product(X5,X6,X7) ),
    inference(resolution,[],[f1,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : product(X0,right_solution(X0,X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_soln) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X1,X3,X4)
      | ~ product(X0,X4,X5)
      | ~ product(X0,X1,X2)
      | product(X2,X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GRP028-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 21:33:05 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.47  % (5845)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.18/0.47  % (5846)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.18/0.48  % (5837)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.48  % (5845)First to succeed.
% 0.18/0.48  % (5845)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  % (5845)------------------------------
% 0.18/0.48  % (5845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (5845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (5845)Termination reason: Refutation
% 0.18/0.48  
% 0.18/0.48  % (5845)Memory used [KB]: 5373
% 0.18/0.48  % (5845)Time elapsed: 0.087 s
% 0.18/0.48  % (5845)Instructions burned: 1 (million)
% 0.18/0.48  % (5845)------------------------------
% 0.18/0.48  % (5845)------------------------------
% 0.18/0.48  % (5831)Success in time 0.142 s
%------------------------------------------------------------------------------