%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : BOO010-4 : 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_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 15:49:22 EDT 2022

% Result   : Unsatisfiable 0.19s 0.45s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   17 (  17 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 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   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f113,plain,
    $false,
    inference(subsumption_resolution,[],[f9,f112]) ).

fof(f112,plain,
    ! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
    inference(forward_demodulation,[],[f111,f6]) ).

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

fof(f111,plain,
    ! [X0,X1] : multiply(X0,multiplicative_identity) = add(X0,multiply(X0,X1)),
    inference(backward_demodulation,[],[f46,f109]) ).

fof(f109,plain,
    ! [X5] : multiplicative_identity = add(multiplicative_identity,X5),
    inference(superposition,[],[f1,f94]) ).

fof(f94,plain,
    ! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
    inference(forward_demodulation,[],[f84,f7]) ).

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

fof(f84,plain,
    ! [X0] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
    inference(superposition,[],[f39,f6]) ).

fof(f39,plain,
    ! [X8,X9] : add(X8,X9) = add(X8,multiply(inverse(X8),X9)),
    inference(forward_demodulation,[],[f27,f21]) ).

fof(f21,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(f27,plain,
    ! [X8,X9] : multiply(multiplicative_identity,add(X8,X9)) = add(X8,multiply(inverse(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(f1,axiom,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_add) ).

fof(f46,plain,
    ! [X0,X1] : multiply(X0,add(multiplicative_identity,X1)) = add(X0,multiply(X0,X1)),
    inference(superposition,[],[f4,f6]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : BOO010-4 : 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_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 16:03:20 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.44  % (4462)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.19/0.45  % (4454)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.45  % (4454)First to succeed.
% 0.19/0.45  % (4454)Refutation found. Thanks to Tanya!
% 0.19/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.45  % (4454)------------------------------
% 0.19/0.45  % (4454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45  % (4454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45  % (4454)Termination reason: Refutation
% 0.19/0.45  
% 0.19/0.45  % (4454)Memory used [KB]: 10106
% 0.19/0.45  % (4454)Time elapsed: 0.062 s
% 0.19/0.45  % (4454)Instructions burned: 8 (million)
% 0.19/0.45  % (4454)------------------------------
% 0.19/0.45  % (4454)------------------------------
% 0.19/0.45  % (4435)Success in time 0.118 s
%------------------------------------------------------------------------------