%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : BOO005-2 : 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 : 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 15:49:19 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% 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    :    3 (   1 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   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f100,plain,
    $false,
    inference(subsumption_resolution,[],[f99,f17]) ).

fof(f17,plain,
    multiplicative_identity != sF0,
    inference(definition_folding,[],[f15,f16]) ).

fof(f16,plain,
    add(a,multiplicative_identity) = sF0,
    introduced(function_definition,[]) ).

fof(f15,axiom,
    multiplicative_identity != add(a,multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_plus_1_is_a) ).

fof(f99,plain,
    multiplicative_identity = sF0,
    inference(forward_demodulation,[],[f96,f11]) ).

fof(f11,axiom,
    ! [X0] : multiply(X0,multiplicative_identity) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_id1) ).

fof(f96,plain,
    multiplicative_identity = multiply(sF0,multiplicative_identity),
    inference(superposition,[],[f79,f7]) ).

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

fof(f79,plain,
    ! [X0] : multiply(sF0,add(a,X0)) = add(a,X0),
    inference(superposition,[],[f70,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_add) ).

fof(f70,plain,
    ! [X10] : add(X10,a) = multiply(sF0,add(X10,a)),
    inference(forward_demodulation,[],[f57,f12]) ).

fof(f12,axiom,
    ! [X0] : multiply(multiplicative_identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_id2) ).

fof(f57,plain,
    ! [X10] : add(multiply(multiplicative_identity,X10),a) = multiply(sF0,add(X10,a)),
    inference(superposition,[],[f3,f35]) ).

fof(f35,plain,
    add(multiplicative_identity,a) = sF0,
    inference(backward_demodulation,[],[f16,f1]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : BOO005-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % 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 16:25:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (5351)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.50  % (5360)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)
% 0.20/0.51  % (5376)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.52  % (5351)First to succeed.
% 0.20/0.52  % (5351)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (5351)------------------------------
% 0.20/0.52  % (5351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (5351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (5351)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (5351)Memory used [KB]: 5500
% 0.20/0.52  % (5351)Time elapsed: 0.115 s
% 0.20/0.52  % (5351)Instructions burned: 6 (million)
% 0.20/0.52  % (5351)------------------------------
% 0.20/0.52  % (5351)------------------------------
% 0.20/0.52  % (5350)Success in time 0.167 s
%------------------------------------------------------------------------------