TSTP Solution File: SWV395+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV395+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n006.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 : Sun May  5 10:51:39 EDT 2024

% Result   : Theorem 0.13s 0.36s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   30 (   8   ~;   0   |;  19   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   24 (  12   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f148,plain,
    $false,
    inference(resolution,[],[f103,f91]) ).

fof(f91,plain,
    pair_in_list(create_slb,sK2,sK3),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ( ~ pair_in_list(remove_slb(create_slb,sK2),sK2,sK3)
    & ok(remove_cpq(triple(sK0,create_slb,sK1),sK2))
    & strictly_less_than(sK2,sK3)
    & pair_in_list(create_slb,sK2,sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f53,f81]) ).

fof(f81,plain,
    ( ? [X0,X1,X2,X3] :
        ( ~ pair_in_list(remove_slb(create_slb,X2),X2,X3)
        & ok(remove_cpq(triple(X0,create_slb,X1),X2))
        & strictly_less_than(X2,X3)
        & pair_in_list(create_slb,X2,X3) )
   => ( ~ pair_in_list(remove_slb(create_slb,sK2),sK2,sK3)
      & ok(remove_cpq(triple(sK0,create_slb,sK1),sK2))
      & strictly_less_than(sK2,sK3)
      & pair_in_list(create_slb,sK2,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ? [X0,X1,X2,X3] :
      ( ~ pair_in_list(remove_slb(create_slb,X2),X2,X3)
      & ok(remove_cpq(triple(X0,create_slb,X1),X2))
      & strictly_less_than(X2,X3)
      & pair_in_list(create_slb,X2,X3) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ? [X0,X1,X2,X3] :
      ( ~ pair_in_list(remove_slb(create_slb,X2),X2,X3)
      & ok(remove_cpq(triple(X0,create_slb,X1),X2))
      & strictly_less_than(X2,X3)
      & pair_in_list(create_slb,X2,X3) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( ok(remove_cpq(triple(X0,create_slb,X1),X2))
          & strictly_less_than(X2,X3)
          & pair_in_list(create_slb,X2,X3) )
       => pair_in_list(remove_slb(create_slb,X2),X2,X3) ),
    inference(negated_conjecture,[],[f42]) ).

fof(f42,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( ok(remove_cpq(triple(X0,create_slb,X1),X2))
        & strictly_less_than(X2,X3)
        & pair_in_list(create_slb,X2,X3) )
     => pair_in_list(remove_slb(create_slb,X2),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l31_co) ).

fof(f103,plain,
    ! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV395+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n006.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   : Fri May  3 20:56:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.35  % (2859)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (2864)WARNING: value z3 for option sas not known
% 0.13/0.36  % (2864)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36  % (2864)First to succeed.
% 0.13/0.36  % (2864)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2859"
% 0.13/0.36  % (2864)Refutation found. Thanks to Tanya!
% 0.13/0.36  % SZS status Theorem for theBenchmark
% 0.13/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.36  % (2864)------------------------------
% 0.13/0.36  % (2864)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36  % (2864)Termination reason: Refutation
% 0.13/0.36  
% 0.13/0.36  % (2864)Memory used [KB]: 895
% 0.13/0.36  % (2864)Time elapsed: 0.003 s
% 0.13/0.36  % (2864)Instructions burned: 5 (million)
% 0.13/0.36  % (2859)Success in time 0.014 s
%------------------------------------------------------------------------------