%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV005-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n007.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 18:55:12 EDT 2022

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (  10 unt;   0 def)
%            Number of atoms       :   26 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   21 (  10   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-1 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f212,plain,
    $false,
    inference(subsumption_resolution,[],[f211,f27]) ).

fof(f27,plain,
    less_than(sF0,sF2),
    inference(definition_folding,[],[f18,f26,f25,f24]) ).

fof(f24,plain,
    a(k) = sF0,
    introduced(function_definition,[]) ).

fof(f25,plain,
    predecessor(l) = sF1,
    introduced(function_definition,[]) ).

fof(f26,plain,
    sF2 = a(sF1),
    introduced(function_definition,[]) ).

fof(f18,axiom,
    less_than(a(k),a(predecessor(l))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

fof(f211,plain,
    ~ less_than(sF0,sF2),
    inference(subsumption_resolution,[],[f210,f14]) ).

fof(f14,axiom,
    ~ less_than(k,l),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

fof(f210,plain,
    ( less_than(k,l)
    | ~ less_than(sF0,sF2) ),
    inference(subsumption_resolution,[],[f204,f13]) ).

fof(f13,axiom,
    ~ less_than(n,k),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

fof(f204,plain,
    ( less_than(n,k)
    | ~ less_than(sF0,sF2)
    | less_than(k,l) ),
    inference(superposition,[],[f33,f24]) ).

fof(f33,plain,
    ! [X0] :
      ( ~ less_than(a(X0),sF2)
      | less_than(X0,l)
      | less_than(n,X0) ),
    inference(subsumption_resolution,[],[f30,f17]) ).

fof(f17,axiom,
    less_than(one,l),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

fof(f30,plain,
    ! [X0] :
      ( ~ less_than(one,l)
      | less_than(X0,l)
      | less_than(n,X0)
      | ~ less_than(a(X0),sF2) ),
    inference(definition_folding,[],[f20,f26,f25]) ).

fof(f20,axiom,
    ! [X0] :
      ( less_than(X0,l)
      | ~ less_than(a(X0),a(predecessor(l)))
      | less_than(n,X0)
      | ~ less_than(one,l) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 18:43:31 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.46  % (2550)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.47  % (2550)First to succeed.
% 0.19/0.47  % (2566)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.48  % (2550)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48  % (2550)------------------------------
% 0.19/0.48  % (2550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (2550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (2550)Termination reason: Refutation
% 0.19/0.48  
% 0.19/0.48  % (2550)Memory used [KB]: 5500
% 0.19/0.48  % (2550)Time elapsed: 0.056 s
% 0.19/0.48  % (2550)Instructions burned: 6 (million)
% 0.19/0.48  % (2550)------------------------------
% 0.19/0.48  % (2550)------------------------------
% 0.19/0.48  % (2536)Success in time 0.122 s
%------------------------------------------------------------------------------