%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KLE003+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 : n026.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 17:27:31 EDT 2022

% Result   : Theorem 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   28 (  27 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   28 (  13   ~;   7   |;   3   &)
%                                         (   3 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (   9   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f40,plain,
    $false,
    inference(subsumption_resolution,[],[f39,f30]) ).

fof(f30,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).

fof(f39,plain,
    one != addition(one,one),
    inference(subsumption_resolution,[],[f34,f30]) ).

fof(f34,plain,
    ( sK0 != addition(sK0,sK0)
    | one != addition(one,one) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ( ( sK0 != addition(sK0,sK0)
      | one != addition(one,one) )
    & ( ! [X1] : addition(X1,X1) = X1
      | one = addition(one,one) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f24,f25]) ).

fof(f25,plain,
    ( ? [X0] : addition(X0,X0) != X0
   => sK0 != addition(sK0,sK0) ),
    introduced(choice_axiom,[]) ).

fof(f24,plain,
    ( ( ? [X0] : addition(X0,X0) != X0
      | one != addition(one,one) )
    & ( ! [X1] : addition(X1,X1) = X1
      | one = addition(one,one) ) ),
    inference(rectify,[],[f23]) ).

fof(f23,plain,
    ( ( ? [X0] : addition(X0,X0) != X0
      | one != addition(one,one) )
    & ( ! [X0] : addition(X0,X0) = X0
      | one = addition(one,one) ) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f20,plain,
    ( one = addition(one,one)
  <~> ! [X0] : addition(X0,X0) = X0 ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,plain,
    ~ ( one = addition(one,one)
    <=> ! [X0] : addition(X0,X0) = X0 ),
    inference(rectify,[],[f14]) ).

fof(f14,negated_conjecture,
    ~ ( ! [X3] : addition(X3,X3) = X3
    <=> one = addition(one,one) ),
    inference(negated_conjecture,[],[f13]) ).

fof(f13,conjecture,
    ( ! [X3] : addition(X3,X3) = X3
  <=> one = addition(one,one) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : KLE003+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14  % 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 : n026.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 00:35:20 EDT 2022
% 0.13/0.36  % CPUTime    : 
% 0.21/0.51  % (22090)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.51  % (22082)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)
% 0.21/0.52  % (22090)First to succeed.
% 0.21/0.52  % (22082)Also succeeded, but the first one will report.
% 0.21/0.52  % (22069)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)
% 0.21/0.52  % (22090)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Theorem for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (22090)------------------------------
% 0.21/0.52  % (22090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (22090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (22090)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (22090)Memory used [KB]: 1407
% 0.21/0.52  % (22090)Time elapsed: 0.006 s
% 0.21/0.52  % (22090)Instructions burned: 2 (million)
% 0.21/0.52  % (22090)------------------------------
% 0.21/0.52  % (22090)------------------------------
% 0.21/0.52  % (22055)Success in time 0.157 s
%------------------------------------------------------------------------------