%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : BOO005-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n009.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 15:49:19 EDT 2022

% Result   : Unsatisfiable 0.18s 0.46s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f103,plain,
    $false,
    inference(trivial_inequality_removal,[],[f102]) ).

fof(f102,plain,
    multiplicative_identity != multiplicative_identity,
    inference(superposition,[],[f9,f69]) ).

fof(f69,plain,
    ! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
    inference(forward_demodulation,[],[f57,f7]) ).

fof(f7,axiom,
    ! [X0] : multiplicative_identity = add(X0,inverse(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse1) ).

fof(f57,plain,
    ! [X0] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
    inference(superposition,[],[f51,f6]) ).

fof(f6,axiom,
    ! [X0] : multiply(X0,multiplicative_identity) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_id1) ).

fof(f51,plain,
    ! [X8,X9] : add(X8,multiply(inverse(X8),X9)) = add(X8,X9),
    inference(forward_demodulation,[],[f39,f24]) ).

fof(f24,plain,
    ! [X0] : multiply(multiplicative_identity,X0) = X0,
    inference(superposition,[],[f2,f6]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiply) ).

fof(f39,plain,
    ! [X8,X9] : add(X8,multiply(inverse(X8),X9)) = multiply(multiplicative_identity,add(X8,X9)),
    inference(superposition,[],[f3,f7]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).

fof(f9,axiom,
    multiplicative_identity != add(a,multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_plus_1_is_a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : BOO005-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n009.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 16:01:20 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.44  % (407)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 0.18/0.45  % (407)First to succeed.
% 0.18/0.45  % (399)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.46  % (407)Refutation found. Thanks to Tanya!
% 0.18/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46  % (407)------------------------------
% 0.18/0.46  % (407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.46  % (407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.46  % (407)Termination reason: Refutation
% 0.18/0.46  
% 0.18/0.46  % (407)Memory used [KB]: 5500
% 0.18/0.46  % (407)Time elapsed: 0.062 s
% 0.18/0.46  % (407)Instructions burned: 6 (million)
% 0.18/0.46  % (407)------------------------------
% 0.18/0.46  % (407)------------------------------
% 0.18/0.46  % (389)Success in time 0.122 s
%------------------------------------------------------------------------------