%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : HWV030-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n004.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 16:58:19 EDT 2022

% Result   : Unsatisfiable 0.21s 0.49s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (  11 unt;   0 def)
%            Number of atoms       :   13 (   6 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   4   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :    1 (   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f147,plain,
    $false,
    inference(subsumption_resolution,[],[f146,f93]) ).

fof(f93,axiom,
    gt(fifo_length,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).

fof(f146,plain,
    ~ gt(fifo_length,n0),
    inference(backward_demodulation,[],[f99,f145]) ).

fof(f145,plain,
    n0 = sF1,
    inference(backward_demodulation,[],[f98,f144]) ).

fof(f144,plain,
    n0 = wr_level(sF0),
    inference(forward_demodulation,[],[f143,f97]) ).

fof(f97,plain,
    plus(t_139,n1) = sF0,
    introduced(function_definition,[]) ).

fof(f143,plain,
    n0 = wr_level(plus(t_139,n1)),
    inference(resolution,[],[f27,f91]) ).

fof(f91,axiom,
    p_Reset(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).

fof(f27,axiom,
    ! [X30] :
      ( ~ p_Reset(X30)
      | n0 = wr_level(plus(X30,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).

fof(f98,plain,
    sF1 = wr_level(sF0),
    introduced(function_definition,[]) ).

fof(f99,plain,
    ~ gt(fifo_length,sF1),
    inference(definition_folding,[],[f92,f98,f97]) ).

fof(f92,axiom,
    ~ gt(fifo_length,wr_level(plus(t_139,n1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : HWV030-1 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 22:55:04 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.47  % (31790)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.48  % (31781)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.49  % (31790)First to succeed.
% 0.21/0.49  % (31790)Refutation found. Thanks to Tanya!
% 0.21/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49  % (31790)------------------------------
% 0.21/0.49  % (31790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49  % (31790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49  % (31790)Termination reason: Refutation
% 0.21/0.49  
% 0.21/0.49  % (31790)Memory used [KB]: 1023
% 0.21/0.49  % (31790)Time elapsed: 0.075 s
% 0.21/0.49  % (31790)Instructions burned: 7 (million)
% 0.21/0.49  % (31790)------------------------------
% 0.21/0.49  % (31790)------------------------------
% 0.21/0.49  % (31774)Success in time 0.131 s
%------------------------------------------------------------------------------