TSTP Solution File: KLE059+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KLE059+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 : n024.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 17:27:56 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   23 (  22 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   17 (   9   ~;   0   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   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   :   18 (  14   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f67,plain,
    $false,
    inference(trivial_inequality_removal,[],[f66]) ).

fof(f66,plain,
    domain(sK0) != domain(sK0),
    inference(forward_demodulation,[],[f60,f38]) ).

fof(f38,plain,
    sK0 = addition(sK1,sK0),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( sK0 = addition(sK1,sK0)
    & domain(sK0) != addition(domain(sK1),domain(sK0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f28,f30]) ).

fof(f30,plain,
    ( ? [X0,X1] :
        ( addition(X1,X0) = X0
        & addition(domain(X1),domain(X0)) != domain(X0) )
   => ( sK0 = addition(sK1,sK0)
      & domain(sK0) != addition(domain(sK1),domain(sK0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f28,plain,
    ? [X0,X1] :
      ( addition(X1,X0) = X0
      & addition(domain(X1),domain(X0)) != domain(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ~ ! [X1,X0] :
        ( addition(X1,X0) = X0
       => addition(domain(X1),domain(X0)) = domain(X0) ),
    inference(rectify,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X4,X3] :
        ( addition(X3,X4) = X4
       => domain(X4) = addition(domain(X3),domain(X4)) ),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X4,X3] :
      ( addition(X3,X4) = X4
     => domain(X4) = addition(domain(X3),domain(X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f60,plain,
    domain(addition(sK1,sK0)) != domain(sK0),
    inference(superposition,[],[f37,f43]) ).

fof(f43,plain,
    ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
    inference(rectify,[],[f21]) ).

fof(f21,plain,
    ! [X1,X0] : addition(domain(X1),domain(X0)) = domain(addition(X1,X0)),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X4,X3] : domain(addition(X3,X4)) = addition(domain(X3),domain(X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain5) ).

fof(f37,plain,
    domain(sK0) != addition(domain(sK1),domain(sK0)),
    inference(cnf_transformation,[],[f31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : KLE059+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n024.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   : Tue Aug 30 00:26:49 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (32427)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.50  % (32428)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (32427)Refutation not found, incomplete strategy% (32427)------------------------------
% 0.19/0.50  % (32427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (32419)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50  % (32427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (32427)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (32427)Memory used [KB]: 5884
% 0.19/0.50  % (32427)Time elapsed: 0.094 s
% 0.19/0.50  % (32427)Instructions burned: 2 (million)
% 0.19/0.50  % (32427)------------------------------
% 0.19/0.50  % (32427)------------------------------
% 0.19/0.50  % (32428)First to succeed.
% 0.19/0.50  % (32419)Also succeeded, but the first one will report.
% 0.19/0.50  % (32428)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Theorem for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (32428)------------------------------
% 0.19/0.50  % (32428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (32428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (32428)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (32428)Memory used [KB]: 5884
% 0.19/0.50  % (32428)Time elapsed: 0.105 s
% 0.19/0.50  % (32428)Instructions burned: 2 (million)
% 0.19/0.50  % (32428)------------------------------
% 0.19/0.50  % (32428)------------------------------
% 0.19/0.50  % (32416)Success in time 0.152 s
%------------------------------------------------------------------------------