%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUN089+2 : TPTP v8.1.0. Released v7.3.0.
% 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 18:07:51 EDT 2022

% Result   : Theorem 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   36 (   8 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   51 (  28   ~;  19   |;   4   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   27 (  23   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f86,plain,
    $false,
    inference(unit_resulting_resolution,[],[f40,f63,f70]) ).

fof(f70,plain,
    ! [X2,X0] :
      ( ~ r2(X0,X2)
      | ~ r1(X2) ),
    inference(equality_resolution,[],[f51]) ).

fof(f51,plain,
    ! [X2,X0,X1] :
      ( ~ r2(X0,X1)
      | X1 != X2
      | ~ r1(X2) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ r1(X2)
          | X1 != X2 )
      | ~ r2(X0,X1) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X40,X41] :
      ( ! [X42] :
          ( X41 != X42
          | ~ r1(X42) )
      | ~ r2(X40,X41) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7a) ).

fof(f63,plain,
    r2(sK10,sK9),
    inference(definition_unfolding,[],[f39,f41]) ).

fof(f41,plain,
    sK8 = sK9,
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ? [X0] :
      ( ? [X1] :
          ( r2(X1,X0)
          & ? [X2] :
              ( r2(X2,X1)
              & r1(X2) ) )
      & ? [X3] :
          ( X0 = X3
          & r1(X3) ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ~ ! [X0] :
        ( ! [X3] :
            ( X0 != X3
            | ~ r1(X3) )
        | ! [X1] :
            ( ~ r2(X1,X0)
            | ! [X2] :
                ( ~ r1(X2)
                | ~ r2(X2,X1) ) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ! [X38] :
        ( ! [X21] :
            ( ~ r2(X21,X38)
            | ! [X22] :
                ( ~ r1(X22)
                | ~ r2(X22,X21) ) )
        | ! [X15] :
            ( X15 != X38
            | ~ r1(X15) ) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ! [X38] :
      ( ! [X21] :
          ( ~ r2(X21,X38)
          | ! [X22] :
              ( ~ r1(X22)
              | ~ r2(X22,X21) ) )
      | ! [X15] :
          ( X15 != X38
          | ~ r1(X15) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',zerouneqtwo) ).

fof(f39,plain,
    r2(sK10,sK8),
    inference(cnf_transformation,[],[f25]) ).

fof(f40,plain,
    r1(sK9),
    inference(cnf_transformation,[],[f25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUN089+2 : TPTP v8.1.0. Released v7.3.0.
% 0.14/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % 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   : Tue Aug 30 09:49:04 EDT 2022
% 0.21/0.35  % CPUTime    : 
% 0.21/0.50  % (13732)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.51  % (13732)First to succeed.
% 0.21/0.51  % (13743)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.51  % (13724)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.51  % (13732)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Theorem for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (13732)------------------------------
% 0.21/0.51  % (13732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (13732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (13732)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (13732)Memory used [KB]: 6012
% 0.21/0.51  % (13732)Time elapsed: 0.092 s
% 0.21/0.51  % (13732)Instructions burned: 2 (million)
% 0.21/0.51  % (13732)------------------------------
% 0.21/0.51  % (13732)------------------------------
% 0.21/0.51  % (13722)Success in time 0.158 s
%------------------------------------------------------------------------------