%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : FLD010-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n005.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 16:06:35 EDT 2022

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    8 (   4   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f79,plain,
    $false,
    inference(subsumption_resolution,[],[f78,f28]) ).

fof(f28,axiom,
    ~ product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_2) ).

fof(f78,plain,
    product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity),
    inference(resolution,[],[f71,f10]) ).

fof(f10,axiom,
    ! [X3,X0,X5] :
      ( ~ product(X0,X3,X5)
      | product(X3,X0,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).

fof(f71,plain,
    product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity),
    inference(subsumption_resolution,[],[f67,f27]) ).

fof(f27,axiom,
    ~ sum(additive_identity,multiplicative_identity,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_1) ).

fof(f67,plain,
    ( product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity)
    | sum(additive_identity,multiplicative_identity,additive_identity) ),
    inference(resolution,[],[f9,f17]) ).

fof(f17,axiom,
    defined(multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).

fof(f9,axiom,
    ! [X0] :
      ( ~ defined(X0)
      | product(multiplicative_inverse(X0),X0,multiplicative_identity)
      | sum(additive_identity,X0,additive_identity) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : FLD010-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 20:33:48 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.48  % (20307)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 (3000ds/37Mi)
% 0.21/0.49  % (20315)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.21/0.49  % (20307)First to succeed.
% 0.21/0.49  % (20331)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 (3000ds/68Mi)
% 0.21/0.50  % (20307)Refutation found. Thanks to Tanya!
% 0.21/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50  % (20307)------------------------------
% 0.21/0.50  % (20307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (20307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (20307)Termination reason: Refutation
% 0.21/0.50  
% 0.21/0.50  % (20307)Memory used [KB]: 895
% 0.21/0.50  % (20307)Time elapsed: 0.090 s
% 0.21/0.50  % (20307)Instructions burned: 4 (million)
% 0.21/0.50  % (20307)------------------------------
% 0.21/0.50  % (20307)------------------------------
% 0.21/0.50  % (20304)Success in time 0.145 s
%------------------------------------------------------------------------------