%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : BOO003-4 : 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 : n023.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 15:49:17 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 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    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f196,plain,
    $false,
    inference(subsumption_resolution,[],[f191,f11]) ).

fof(f11,plain,
    a != sF0,
    inference(definition_folding,[],[f9,f10]) ).

fof(f10,plain,
    multiply(a,a) = sF0,
    introduced(function_definition,[]) ).

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

fof(f191,plain,
    a = sF0,
    inference(backward_demodulation,[],[f10,f178]) ).

fof(f178,plain,
    ! [X0] : multiply(X0,X0) = X0,
    inference(forward_demodulation,[],[f167,f6]) ).

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

fof(f167,plain,
    ! [X0] : multiply(X0,multiplicative_identity) = multiply(X0,X0),
    inference(superposition,[],[f103,f7]) ).

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

fof(f103,plain,
    ! [X2,X3] : multiply(X2,X3) = multiply(X2,add(X3,inverse(X2))),
    inference(forward_demodulation,[],[f86,f5]) ).

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

fof(f86,plain,
    ! [X2,X3] : multiply(X2,add(X3,inverse(X2))) = add(multiply(X2,X3),additive_identity),
    inference(superposition,[],[f4,f8]) ).

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

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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : BOO003-4 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n023.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 16:24:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (4224)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.19/0.51  % (4242)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51  % (4234)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52  % (4224)First to succeed.
% 0.19/0.52  % (4224)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (4224)------------------------------
% 0.19/0.52  % (4224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (4224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (4224)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (4224)Memory used [KB]: 5628
% 0.19/0.52  % (4224)Time elapsed: 0.116 s
% 0.19/0.52  % (4224)Instructions burned: 9 (million)
% 0.19/0.52  % (4224)------------------------------
% 0.19/0.52  % (4224)------------------------------
% 0.19/0.52  % (4221)Success in time 0.168 s
%------------------------------------------------------------------------------