%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV400+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 : n002.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 0.22s 0.39s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   29 (  10   ~;   0   |;  15   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   27 (  15   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f79,plain,
    $false,
    inference(resolution,[],[f54,f46]) ).

fof(f46,plain,
    pair_in_list(create_slb,sK1,sK2),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ( ~ pair_in_list(update_slb(create_slb,sK3),sK1,sK2)
    & less_than(sK3,sK2)
    & pair_in_list(create_slb,sK1,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f37,f38]) ).

fof(f38,plain,
    ( ? [X0,X1,X2] :
        ( ~ pair_in_list(update_slb(create_slb,X2),X0,X1)
        & less_than(X2,X1)
        & pair_in_list(create_slb,X0,X1) )
   => ( ~ pair_in_list(update_slb(create_slb,sK3),sK1,sK2)
      & less_than(sK3,sK2)
      & pair_in_list(create_slb,sK1,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ? [X0,X1,X2] :
      ( ~ pair_in_list(update_slb(create_slb,X2),X0,X1)
      & less_than(X2,X1)
      & pair_in_list(create_slb,X0,X1) ),
    inference(rectify,[],[f24]) ).

fof(f24,plain,
    ? [X1,X2,X3] :
      ( ~ pair_in_list(update_slb(create_slb,X3),X1,X2)
      & less_than(X3,X2)
      & pair_in_list(create_slb,X1,X2) ),
    inference(flattening,[],[f23]) ).

fof(f23,plain,
    ? [X1,X2,X3] :
      ( ~ pair_in_list(update_slb(create_slb,X3),X1,X2)
      & less_than(X3,X2)
      & pair_in_list(create_slb,X1,X2) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ! [X1,X2,X3] :
        ( ( less_than(X3,X2)
          & pair_in_list(create_slb,X1,X2) )
       => pair_in_list(update_slb(create_slb,X3),X1,X2) ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( less_than(X3,X2)
          & pair_in_list(create_slb,X1,X2) )
       => pair_in_list(update_slb(create_slb,X3),X1,X2) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( less_than(X3,X2)
        & pair_in_list(create_slb,X1,X2) )
     => pair_in_list(update_slb(create_slb,X3),X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l36_co) ).

fof(f54,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    : SWV400+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n002.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 21:07:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (16880)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (16881)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (16887)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38  % (16887)First to succeed.
% 0.15/0.38  % (16887)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16880"
% 0.22/0.39  % (16887)Refutation found. Thanks to Tanya!
% 0.22/0.39  % SZS status Theorem for theBenchmark
% 0.22/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39  % (16887)------------------------------
% 0.22/0.39  % (16887)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.39  % (16887)Termination reason: Refutation
% 0.22/0.39  
% 0.22/0.39  % (16887)Memory used [KB]: 797
% 0.22/0.39  % (16887)Time elapsed: 0.004 s
% 0.22/0.39  % (16887)Instructions burned: 4 (million)
% 0.22/0.39  % (16880)Success in time 0.024 s
%------------------------------------------------------------------------------