%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN946+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : 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 19:36:10 EDT 2022

% Result   : Theorem 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   3 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   26 (  10   ~;   3   |;   7   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   27 (  15   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,plain,
    $false,
    inference(subsumption_resolution,[],[f11,f10]) ).

fof(f10,plain,
    ! [X2] : p(X2),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( ~ p(sK0)
    & ! [X2] : p(X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8]) ).

fof(f8,plain,
    ( ? [X1] : ~ p(X1)
   => ~ p(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ( ? [X1] : ~ p(X1)
    & ! [X2] : p(X2) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ! [X2] :
      ? [X3] : ~ p(X3)
    & ! [X1] : p(X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,plain,
    ~ ( ! [X1] : p(X1)
     => ? [X2] :
        ! [X3] : p(X3) ),
    inference(pure_predicate_removal,[],[f4]) ).

fof(f4,plain,
    ~ ( ( ? [X0] : q(X0)
        & ! [X1] : p(X1) )
     => ? [X2] :
        ! [X3] : p(X3) ),
    inference(pure_predicate_removal,[],[f3]) ).

fof(f3,plain,
    ~ ( ( ? [X0] : q(X0)
        & ! [X1] : p(X1) )
     => ? [X2] :
        ! [X3] :
          ( r(X2)
          | p(X3) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ? [X1] : q(X1)
        & ! [X0] : p(X0) )
     => ? [X2] :
        ! [X1] :
          ( r(X2)
          | p(X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ? [X1] : q(X1)
      & ! [X0] : p(X0) )
   => ? [X2] :
      ! [X1] :
        ( r(X2)
        | p(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f11,plain,
    ~ p(sK0),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN946+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n004.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 22:28:49 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.18/0.50  % (5474)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.50  % (5466)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50  % (5477)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.50  % (5476)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50  % (5466)First to succeed.
% 0.18/0.50  % (5467)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)
% 0.18/0.51  % (5466)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Theorem for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (5466)------------------------------
% 0.18/0.51  % (5466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (5466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (5466)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (5466)Memory used [KB]: 5884
% 0.18/0.51  % (5466)Time elapsed: 0.003 s
% 0.18/0.51  % (5466)Instructions burned: 1 (million)
% 0.18/0.51  % (5466)------------------------------
% 0.18/0.51  % (5466)------------------------------
% 0.18/0.51  % (5449)Success in time 0.162 s
%------------------------------------------------------------------------------