%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU306+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n019.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 18:28:34 EDT 2022

% Result   : Theorem 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :   27 (  11 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   23 (  11   ~;   3   |;   4   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   10 (   8   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f171,plain,
    $false,
    inference(subsumption_resolution,[],[f169,f160]) ).

fof(f160,plain,
    one_sorted_str(sK5),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ( one_sorted_str(sK5)
    & cast_as_carrier_subset(sK5) != the_carrier(sK5) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f67,f102]) ).

fof(f102,plain,
    ( ? [X0] :
        ( one_sorted_str(X0)
        & cast_as_carrier_subset(X0) != the_carrier(X0) )
   => ( one_sorted_str(sK5)
      & cast_as_carrier_subset(sK5) != the_carrier(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ? [X0] :
      ( one_sorted_str(X0)
      & cast_as_carrier_subset(X0) != the_carrier(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,negated_conjecture,
    ~ ! [X0] :
        ( one_sorted_str(X0)
       => cast_as_carrier_subset(X0) = the_carrier(X0) ),
    inference(negated_conjecture,[],[f40]) ).

fof(f40,conjecture,
    ! [X0] :
      ( one_sorted_str(X0)
     => cast_as_carrier_subset(X0) = the_carrier(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).

fof(f169,plain,
    ~ one_sorted_str(sK5),
    inference(resolution,[],[f165,f162]) ).

fof(f162,plain,
    ! [X0] :
      ( sQ6_eqProxy(cast_as_carrier_subset(X0),the_carrier(X0))
      | ~ one_sorted_str(X0) ),
    inference(equality_proxy_replacement,[],[f105,f161]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( sQ6_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ6_eqProxy])]) ).

fof(f105,plain,
    ! [X0] :
      ( cast_as_carrier_subset(X0) = the_carrier(X0)
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( cast_as_carrier_subset(X0) = the_carrier(X0)
      | ~ one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,axiom,
    ! [X0] :
      ( one_sorted_str(X0)
     => cast_as_carrier_subset(X0) = the_carrier(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).

fof(f165,plain,
    ~ sQ6_eqProxy(cast_as_carrier_subset(sK5),the_carrier(sK5)),
    inference(equality_proxy_replacement,[],[f159,f161]) ).

fof(f159,plain,
    cast_as_carrier_subset(sK5) != the_carrier(sK5),
    inference(cnf_transformation,[],[f103]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SEU306+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n019.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 15:12:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  % (9043)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)
% 0.19/0.47  % (9049)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.47  % (9049)First to succeed.
% 0.19/0.48  % (9049)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Theorem for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48  % (9049)------------------------------
% 0.19/0.48  % (9049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (9049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (9049)Termination reason: Refutation
% 0.19/0.48  
% 0.19/0.48  % (9049)Memory used [KB]: 6012
% 0.19/0.48  % (9049)Time elapsed: 0.091 s
% 0.19/0.48  % (9049)Instructions burned: 3 (million)
% 0.19/0.48  % (9049)------------------------------
% 0.19/0.48  % (9049)------------------------------
% 0.19/0.48  % (9033)Success in time 0.136 s
%------------------------------------------------------------------------------