%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV402+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n021.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 18:56:43 EDT 2022

% Result   : Theorem 0.19s 0.45s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   31 (  12   ~;   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   :   31 (  19   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f98,plain,
    $false,
    inference(resolution,[],[f90,f66]) ).

fof(f66,plain,
    pair_in_list(create_slb,sK0,sK1),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( strictly_less_than(sK1,sK2)
    & pair_in_list(create_slb,sK0,sK1)
    & ~ pair_in_list(update_slb(create_slb,sK2),sK0,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f45,f46]) ).

fof(f46,plain,
    ( ? [X0,X1,X2] :
        ( strictly_less_than(X1,X2)
        & pair_in_list(create_slb,X0,X1)
        & ~ pair_in_list(update_slb(create_slb,X2),X0,X2) )
   => ( strictly_less_than(sK1,sK2)
      & pair_in_list(create_slb,sK0,sK1)
      & ~ pair_in_list(update_slb(create_slb,sK2),sK0,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ? [X0,X1,X2] :
      ( strictly_less_than(X1,X2)
      & pair_in_list(create_slb,X0,X1)
      & ~ pair_in_list(update_slb(create_slb,X2),X0,X2) ),
    inference(rectify,[],[f34]) ).

fof(f34,plain,
    ? [X2,X3,X0] :
      ( strictly_less_than(X3,X0)
      & pair_in_list(create_slb,X2,X3)
      & ~ pair_in_list(update_slb(create_slb,X0),X2,X0) ),
    inference(flattening,[],[f33]) ).

fof(f33,plain,
    ? [X3,X0,X2] :
      ( ~ pair_in_list(update_slb(create_slb,X0),X2,X0)
      & strictly_less_than(X3,X0)
      & pair_in_list(create_slb,X2,X3) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,plain,
    ~ ! [X3,X0,X2] :
        ( ( strictly_less_than(X3,X0)
          & pair_in_list(create_slb,X2,X3) )
       => pair_in_list(update_slb(create_slb,X0),X2,X0) ),
    inference(rectify,[],[f20]) ).

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

fof(f19,conjecture,
    ! [X3,X0,X1,X2] :
      ( ( strictly_less_than(X2,X3)
        & pair_in_list(create_slb,X1,X2) )
     => pair_in_list(update_slb(create_slb,X3),X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l38_co) ).

fof(f90,plain,
    ! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
    inference(rectify,[],[f31]) ).

fof(f31,plain,
    ! [X1,X0] : ~ pair_in_list(create_slb,X1,X0),
    inference(rectify,[],[f10]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV402+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 19:18:41 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.44  % (793)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.45  % (784)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.45  % (793)First to succeed.
% 0.19/0.45  % (793)Refutation found. Thanks to Tanya!
% 0.19/0.45  % SZS status Theorem for theBenchmark
% 0.19/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.45  % (793)------------------------------
% 0.19/0.45  % (793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45  % (793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45  % (793)Termination reason: Refutation
% 0.19/0.45  
% 0.19/0.45  % (793)Memory used [KB]: 5500
% 0.19/0.45  % (793)Time elapsed: 0.062 s
% 0.19/0.45  % (793)Instructions burned: 3 (million)
% 0.19/0.45  % (793)------------------------------
% 0.19/0.45  % (793)------------------------------
% 0.19/0.45  % (771)Success in time 0.106 s
%------------------------------------------------------------------------------