%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP042-2 : 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 : n006.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 16:19:14 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   5 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   9   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,plain,
    $false,
    inference(resolution,[],[f14,f1]) ).

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

fof(f14,plain,
    ! [X0,X1] : ~ product(X0,X1,a),
    inference(subsumption_resolution,[],[f12,f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ product(X0,X1,b)
      | ~ product(X0,X1,a) ),
    inference(resolution,[],[f4,f9]) ).

fof(f9,axiom,
    ~ equalish(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetry) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( equalish(X2,X3)
      | ~ product(X0,X1,X2)
      | ~ product(X0,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ~ product(X0,X1,a)
      | product(X0,X1,b) ),
    inference(resolution,[],[f7,f8]) ).

fof(f8,axiom,
    equalish(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ equalish(X0,X1)
      | ~ product(X3,X2,X0)
      | product(X3,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_substitution3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : GRP042-2 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:08:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (6438)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51  % (6438)First to succeed.
% 0.20/0.51  % (6430)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51  % (6438)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  % (6438)------------------------------
% 0.20/0.51  % (6438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (6438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (6438)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (6438)Memory used [KB]: 895
% 0.20/0.51  % (6438)Time elapsed: 0.057 s
% 0.20/0.51  % (6438)Instructions burned: 1 (million)
% 0.20/0.51  % (6438)------------------------------
% 0.20/0.51  % (6438)------------------------------
% 0.20/0.51  % (6415)Success in time 0.165 s
%------------------------------------------------------------------------------