%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP008-1 : 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 16:18:54 EDT 2022

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   15 (   6 unt;   0 def)
%            Number of atoms       :   29 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  10   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f51,plain,
    $false,
    inference(subsumption_resolution,[],[f50,f12]) ).

fof(f12,axiom,
    ~ q(identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_identity_is_q) ).

fof(f50,plain,
    q(identity),
    inference(subsumption_resolution,[],[f49,f1]) ).

fof(f1,axiom,
    ! [X0] : product(identity,X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

fof(f49,plain,
    ( ~ product(identity,j(identity),j(identity))
    | q(identity) ),
    inference(subsumption_resolution,[],[f47,f2]) ).

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

fof(f47,plain,
    ( ~ product(j(identity),identity,j(identity))
    | q(identity)
    | ~ product(identity,j(identity),j(identity)) ),
    inference(superposition,[],[f11,f46]) ).

fof(f46,plain,
    h(identity) = j(identity),
    inference(subsumption_resolution,[],[f45,f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ product(identity,X1,X0)
      | X0 = X1 ),
    inference(resolution,[],[f6,f1]) ).

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(f45,plain,
    ( product(identity,j(identity),h(identity))
    | h(identity) = j(identity) ),
    inference(subsumption_resolution,[],[f44,f12]) ).

fof(f44,plain,
    ( product(identity,j(identity),h(identity))
    | h(identity) = j(identity)
    | q(identity) ),
    inference(resolution,[],[f20,f10]) ).

fof(f10,axiom,
    ! [X6] :
      ( product(j(X6),X6,h(X6))
      | q(X6)
      | product(X6,j(X6),h(X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown_meaning3) ).

fof(f20,plain,
    ! [X2,X3] :
      ( ~ product(X3,identity,X2)
      | X2 = X3 ),
    inference(resolution,[],[f6,f2]) ).

fof(f11,axiom,
    ! [X6] :
      ( ~ product(j(X6),X6,h(X6))
      | q(X6)
      | ~ product(X6,j(X6),h(X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown_meaning4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % 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 : n013.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 22:03:17 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  % (31125)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.47  % (31133)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.47  % (31133)First to succeed.
% 0.19/0.48  TRYING [1]
% 0.19/0.48  TRYING [2]
% 0.19/0.48  TRYING [3]
% 0.19/0.48  % (31133)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48  % (31133)------------------------------
% 0.19/0.48  % (31133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (31133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (31133)Termination reason: Refutation
% 0.19/0.48  
% 0.19/0.48  % (31133)Memory used [KB]: 5373
% 0.19/0.48  % (31133)Time elapsed: 0.090 s
% 0.19/0.48  % (31133)Instructions burned: 2 (million)
% 0.19/0.48  % (31133)------------------------------
% 0.19/0.48  % (31133)------------------------------
% 0.19/0.48  % (31113)Success in time 0.142 s
%------------------------------------------------------------------------------