%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : BOO004-4 : TPTP v8.1.0. Released v1.1.0.
% 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 : n028.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 15:49:49 EDT 2022

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 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    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f127,plain,
    $false,
    inference(trivial_inequality_removal,[],[f126]) ).

fof(f126,plain,
    a != a,
    inference(superposition,[],[f9,f116]) ).

fof(f116,plain,
    ! [X0] : add(X0,X0) = X0,
    inference(forward_demodulation,[],[f105,f5]) ).

fof(f5,axiom,
    ! [X0] : add(X0,additive_identity) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id1) ).

fof(f105,plain,
    ! [X0] : add(X0,additive_identity) = add(X0,X0),
    inference(superposition,[],[f52,f8]) ).

fof(f8,axiom,
    ! [X0] : additive_identity = multiply(X0,inverse(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse1) ).

fof(f52,plain,
    ! [X2,X3] : add(X2,multiply(X3,inverse(X2))) = add(X2,X3),
    inference(forward_demodulation,[],[f51,f24]) ).

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

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).

fof(f6,axiom,
    ! [X0] : multiply(X0,multiplicative_identity) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id1) ).

fof(f51,plain,
    ! [X2,X3] : add(X2,multiply(X3,inverse(X2))) = multiply(multiplicative_identity,add(X2,X3)),
    inference(forward_demodulation,[],[f40,f2]) ).

fof(f40,plain,
    ! [X2,X3] : add(X2,multiply(X3,inverse(X2))) = multiply(add(X2,X3),multiplicative_identity),
    inference(superposition,[],[f3,f7]) ).

fof(f7,axiom,
    ! [X0] : multiplicative_identity = add(X0,inverse(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1) ).

fof(f3,axiom,
    ! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).

fof(f9,axiom,
    a != add(a,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_plus_a_is_a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : BOO004-4 : TPTP v8.1.0. Released v1.1.0.
% 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 : n028.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 16:13:02 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  % (5180)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.48  % (5180)First to succeed.
% 0.18/0.48  % (5188)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.48  % (5180)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
% 0.18/0.49  % (5180)------------------------------
% 0.18/0.49  % (5180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (5180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (5180)Termination reason: Refutation
% 0.18/0.49  
% 0.18/0.49  % (5180)Memory used [KB]: 1023
% 0.18/0.49  % (5180)Time elapsed: 0.091 s
% 0.18/0.49  % (5180)Instructions burned: 6 (million)
% 0.18/0.49  % (5180)------------------------------
% 0.18/0.49  % (5180)------------------------------
% 0.18/0.49  % (5170)Success in time 0.146 s
%------------------------------------------------------------------------------