%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM021-1 : TPTP v8.1.0. Bugfixed 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 : n022.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 17:56:38 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   25 (   8 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   42 (  21   ~;  19   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f162,plain,
    $false,
    inference(avatar_sat_refutation,[],[f43,f151,f161]) ).

fof(f161,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f160]) ).

fof(f160,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f152,f17]) ).

fof(f17,axiom,
    ~ less(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_greater_equal_a) ).

fof(f152,plain,
    ( less(b,a)
    | ~ spl0_1 ),
    inference(resolution,[],[f39,f21]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ less(c,X0)
      | less(b,X0) ),
    inference(resolution,[],[f16,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( ~ less(X0,X1)
      | ~ less(X2,X0)
      | less(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less) ).

fof(f16,axiom,
    less(b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_less_than_c) ).

fof(f39,plain,
    ( less(c,a)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f38,plain,
    ( spl0_1
  <=> less(c,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f151,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f150]) ).

fof(f150,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f24,f147]) ).

fof(f147,plain,
    ( ! [X7] : ~ equalish(add(successor(X7),b),c)
    | ~ spl0_2 ),
    inference(resolution,[],[f46,f25]) ).

fof(f25,plain,
    ! [X0] : ~ equalish(add(successor(X0),b),a),
    inference(resolution,[],[f17,f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( less(X1,X2)
      | ~ equalish(add(successor(X0),X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',smaller_number) ).

fof(f46,plain,
    ( ! [X1] :
        ( equalish(X1,a)
        | ~ equalish(X1,c) )
    | ~ spl0_2 ),
    inference(resolution,[],[f42,f15]) ).

fof(f15,axiom,
    ! [X3,X4,X5] :
      ( ~ equalish(X4,X5)
      | ~ equalish(X3,X4)
      | equalish(X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).

fof(f42,plain,
    ( equalish(c,a)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_2
  <=> equalish(c,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f24,plain,
    equalish(add(successor(predecessor_of_1st_minus_2nd(c,b)),b),c),
    inference(resolution,[],[f16,f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | equalish(add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_lemma) ).

fof(f43,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f20,f41,f38]) ).

fof(f20,plain,
    ( equalish(c,a)
    | less(c,a) ),
    inference(resolution,[],[f18,f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ~ divides(X0,X1)
      | equalish(X0,X1)
      | less(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_only_less_or_equal) ).

fof(f18,axiom,
    divides(c,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impossible_c_divides_a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : NUM021-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 05:50:56 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.50  % (28509)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51  % (28526)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51  % (28506)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.52  % (28526)First to succeed.
% 0.19/0.52  % (28504)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.52  % (28526)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (28526)------------------------------
% 0.19/0.52  % (28526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (28526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (28526)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (28526)Memory used [KB]: 6012
% 0.19/0.52  % (28526)Time elapsed: 0.108 s
% 0.19/0.52  % (28526)Instructions burned: 6 (million)
% 0.19/0.52  % (28526)------------------------------
% 0.19/0.52  % (28526)------------------------------
% 0.19/0.52  % (28501)Success in time 0.172 s
%------------------------------------------------------------------------------