TSTP Solution File: MGT052+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : MGT052+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n014.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 17:51:38 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (   9 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   51 (  23   ~;  13   |;   5   &)
%                                         (   6 <=>;   3  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   37 (  33   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f67,plain,
    $false,
    inference(subsumption_resolution,[],[f66,f64]) ).

fof(f64,plain,
    is_aligned(sK0,sK1),
    inference(duplicate_literal_removal,[],[f63]) ).

fof(f63,plain,
    ( is_aligned(sK0,sK1)
    | is_aligned(sK0,sK1) ),
    inference(resolution,[],[f34,f31]) ).

fof(f31,plain,
    dissimilar(sK0,sK1,sK1),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    dissimilar(sK0,sK1,sK1),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f18,f23]) ).

fof(f23,plain,
    ( ? [X0,X1] : dissimilar(X0,X1,X1)
   => dissimilar(sK0,sK1,sK1) ),
    introduced(choice_axiom,[]) ).

fof(f18,plain,
    ? [X0,X1] : dissimilar(X0,X1,X1),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,plain,
    ~ ! [X1,X0] : ~ dissimilar(X0,X1,X1),
    inference(rectify,[],[f9]) ).

fof(f9,negated_conjecture,
    ~ ! [X0,X4] : ~ dissimilar(X0,X4,X4),
    inference(negated_conjecture,[],[f8]) ).

fof(f8,conjecture,
    ! [X0,X4] : ~ dissimilar(X0,X4,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background_assumption_1) ).

fof(f34,plain,
    ! [X2,X0,X1] :
      ( ~ dissimilar(X1,X2,X0)
      | is_aligned(X1,X0)
      | is_aligned(X1,X2) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( ~ dissimilar(X1,X2,X0)
      | ( ( ~ is_aligned(X1,X0)
          | ~ is_aligned(X1,X2) )
        & ( is_aligned(X1,X0)
          | is_aligned(X1,X2) ) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,plain,
    ! [X2,X1,X0] :
      ( ~ dissimilar(X1,X0,X2)
      | ( ( ~ is_aligned(X1,X2)
          | ~ is_aligned(X1,X0) )
        & ( is_aligned(X1,X2)
          | is_aligned(X1,X0) ) ) ),
    inference(nnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X2,X1,X0] :
      ( ~ dissimilar(X1,X0,X2)
      | ( is_aligned(X1,X0)
      <~> is_aligned(X1,X2) ) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X2,X0,X1] :
      ( dissimilar(X1,X0,X2)
     => ~ ( is_aligned(X1,X2)
        <=> is_aligned(X1,X0) ) ),
    inference(pure_predicate_removal,[],[f16]) ).

fof(f16,plain,
    ! [X2,X0,X1] :
      ( dissimilar(X1,X0,X2)
     => ( ~ ( is_aligned(X1,X2)
          <=> is_aligned(X1,X0) )
        & organization(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f11]) ).

fof(f11,plain,
    ! [X2,X0,X1] :
      ( ( ~ ( is_aligned(X1,X2)
          <=> is_aligned(X1,X0) )
        & organization(X1) )
    <=> dissimilar(X1,X0,X2) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X3,X0,X4] :
      ( ( organization(X0)
        & ~ ( is_aligned(X0,X3)
          <=> is_aligned(X0,X4) ) )
    <=> dissimilar(X0,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).

fof(f66,plain,
    ~ is_aligned(sK0,sK1),
    inference(duplicate_literal_removal,[],[f65]) ).

fof(f65,plain,
    ( ~ is_aligned(sK0,sK1)
    | ~ is_aligned(sK0,sK1) ),
    inference(resolution,[],[f35,f31]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( ~ dissimilar(X1,X2,X0)
      | ~ is_aligned(X1,X2)
      | ~ is_aligned(X1,X0) ),
    inference(cnf_transformation,[],[f27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : MGT052+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n014.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 03:22:33 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.47  % (3454)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.47  % (3454)Instruction limit reached!
% 0.20/0.47  % (3454)------------------------------
% 0.20/0.47  % (3454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (3454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (3454)Termination reason: Unknown
% 0.20/0.47  % (3454)Termination phase: Saturation
% 0.20/0.47  
% 0.20/0.47  % (3454)Memory used [KB]: 5373
% 0.20/0.47  % (3454)Time elapsed: 0.003 s
% 0.20/0.47  % (3454)Instructions burned: 2 (million)
% 0.20/0.47  % (3454)------------------------------
% 0.20/0.47  % (3454)------------------------------
% 0.20/0.49  % (3462)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50  % (3462)First to succeed.
% 0.20/0.50  % (3462)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Theorem for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (3462)------------------------------
% 0.20/0.50  % (3462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (3462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (3462)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (3462)Memory used [KB]: 5373
% 0.20/0.50  % (3462)Time elapsed: 0.091 s
% 0.20/0.50  % (3462)Instructions burned: 3 (million)
% 0.20/0.50  % (3462)------------------------------
% 0.20/0.50  % (3462)------------------------------
% 0.20/0.50  % (3445)Success in time 0.15 s
%------------------------------------------------------------------------------