%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KLE076+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n029.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 17:28:00 EDT 2022

% Result   : Theorem 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (  13 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   9   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   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    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   5   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f54,plain,
    $false,
    inference(subsumption_resolution,[],[f53,f44]) ).

fof(f44,plain,
    zero = domain(zero),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    zero = domain(zero),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).

fof(f53,plain,
    zero != domain(zero),
    inference(backward_demodulation,[],[f52,f49]) ).

fof(f49,plain,
    ! [X0] : zero = multiplication(X0,zero),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] : zero = multiplication(X0,zero),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).

fof(f52,plain,
    zero != domain(multiplication(sK0,zero)),
    inference(backward_demodulation,[],[f46,f44]) ).

fof(f46,plain,
    zero != domain(multiplication(sK0,domain(zero))),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    zero != domain(multiplication(sK0,domain(zero))),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f28,f33]) ).

fof(f33,plain,
    ( ? [X0] : zero != domain(multiplication(X0,domain(zero)))
   => zero != domain(multiplication(sK0,domain(zero))) ),
    introduced(choice_axiom,[]) ).

fof(f28,plain,
    ? [X0] : zero != domain(multiplication(X0,domain(zero))),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ~ ! [X0] : zero = domain(multiplication(X0,domain(zero))),
    inference(rectify,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X3] : zero = domain(multiplication(X3,domain(zero))),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X3] : zero = domain(multiplication(X3,domain(zero))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KLE076+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 00:34:56 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.53  % (30320)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53  % (30321)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53  % (30336)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.53  % (30320)First to succeed.
% 0.20/0.53  % (30329)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (30320)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Theorem for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (30320)------------------------------
% 0.20/0.53  % (30320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (30320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (30320)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (30320)Memory used [KB]: 5884
% 0.20/0.53  % (30320)Time elapsed: 0.106 s
% 0.20/0.53  % (30320)Instructions burned: 2 (million)
% 0.20/0.53  % (30320)------------------------------
% 0.20/0.53  % (30320)------------------------------
% 0.20/0.53  % (30313)Success in time 0.176 s
%------------------------------------------------------------------------------