%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN044+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n015.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 19:25:17 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   3 unt;   0 def)
%            Number of atoms       :   52 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   45 (  16   ~;  20   |;   3   &)
%                                         (   2 <=>;   3  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    4 (   3 usr;   4 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f24,plain,
    $false,
    inference(subsumption_resolution,[],[f23,f20]) ).

fof(f20,plain,
    q,
    inference(subsumption_resolution,[],[f19,f12]) ).

fof(f12,plain,
    ( ~ r
    | q ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( p
      & q )
    | ~ r ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( r
   => ( p
      & q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10_2) ).

fof(f19,plain,
    ( r
    | q ),
    inference(duplicate_literal_removal,[],[f18]) ).

fof(f18,plain,
    ( q
    | r
    | q ),
    inference(resolution,[],[f16,f15]) ).

fof(f15,plain,
    ( ~ p
    | r
    | q ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( r
    | ~ p
    | q ),
    inference(flattening,[],[f8]) ).

fof(f8,plain,
    ( r
    | q
    | ~ p ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( p
   => ( r
      | q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10_3) ).

fof(f16,plain,
    ( p
    | q ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ( ( ~ q
      | ~ p )
    & ( q
      | p ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( p
  <~> q ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,negated_conjecture,
    ~ ( q
    <=> p ),
    inference(negated_conjecture,[],[f4]) ).

fof(f4,conjecture,
    ( q
  <=> p ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10) ).

fof(f23,plain,
    ~ q,
    inference(subsumption_resolution,[],[f22,f14]) ).

fof(f14,plain,
    ( r
    | ~ q ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ( r
    | ~ q ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( q
   => r ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10_1) ).

fof(f22,plain,
    ( ~ r
    | ~ q ),
    inference(resolution,[],[f17,f13]) ).

fof(f13,plain,
    ( p
    | ~ r ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( ~ p
    | ~ q ),
    inference(cnf_transformation,[],[f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN044+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:35:06 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (11712)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.49  % (11712)First to succeed.
% 0.19/0.50  % (11708)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50  % (11719)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50  % (11722)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (11712)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Theorem for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (11712)------------------------------
% 0.19/0.50  % (11712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (11712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (11712)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (11712)Memory used [KB]: 1407
% 0.19/0.50  % (11712)Time elapsed: 0.096 s
% 0.19/0.50  % (11712)Instructions burned: 1 (million)
% 0.19/0.50  % (11712)------------------------------
% 0.19/0.50  % (11712)------------------------------
% 0.19/0.50  % (11706)Success in time 0.154 s
%------------------------------------------------------------------------------