%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN370+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_sat --cores 0 -t %d %s

% Computer : n005.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 19:37:42 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   20 (   6   ~;   7   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   18 (  12   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,plain,
    $false,
    inference(subsumption_resolution,[],[f9,f7]) ).

fof(f7,plain,
    ! [X2,X0] : ~ big_p(X0,sK0(X0),X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ! [X0,X2] :
      ( ~ big_p(X0,sK0(X0),X2)
      & ( big_p(X0,sK0(X0),f(sK0(X0)))
        | big_p(a,sK0(X0),h(sK0(X0))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f3,f4]) ).

fof(f4,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
          ( ~ big_p(X0,X1,X2)
          & ( big_p(X0,X1,f(X1))
            | big_p(a,X1,h(X1)) ) )
     => ! [X2] :
          ( ~ big_p(X0,sK0(X0),X2)
          & ( big_p(X0,sK0(X0),f(sK0(X0)))
            | big_p(a,sK0(X0),h(sK0(X0))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f3,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ~ big_p(X0,X1,X2)
      & ( big_p(X0,X1,f(X1))
        | big_p(a,X1,h(X1)) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ? [X0] :
      ! [X1] :
      ? [X2] :
        ( ( big_p(X0,X1,f(X1))
          | big_p(a,X1,h(X1)) )
       => big_p(X0,X1,X2) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ? [X0] :
    ! [X1] :
    ? [X2] :
      ( ( big_p(X0,X1,f(X1))
        | big_p(a,X1,h(X1)) )
     => big_p(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2121) ).

fof(f9,plain,
    big_p(a,sK0(a),f(sK0(a))),
    inference(resolution,[],[f6,f7]) ).

fof(f6,plain,
    ! [X0] :
      ( big_p(X0,sK0(X0),f(sK0(X0)))
      | big_p(a,sK0(X0),h(sK0(X0))) ),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN370+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:49:03 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.48  % (22015)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.18/0.48  % (22015)First to succeed.
% 0.18/0.49  % (21997)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.49  % (21990)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.18/0.49  % (21990)Also succeeded, but the first one will report.
% 0.18/0.50  % (22015)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Theorem for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (22015)------------------------------
% 0.18/0.50  % (22015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (22015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (22015)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (22015)Memory used [KB]: 895
% 0.18/0.50  % (22015)Time elapsed: 0.090 s
% 0.18/0.50  % (22015)Instructions burned: 1 (million)
% 0.18/0.50  % (22015)------------------------------
% 0.18/0.50  % (22015)------------------------------
% 0.18/0.50  % (21987)Success in time 0.153 s
%------------------------------------------------------------------------------