TSTP Solution File: SEU306+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --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 18:33:07 EDT 2022

% Result   : Theorem 0.22s 0.53s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   18 (   6 unt;   3 typ;   0 def)
%            Number of atoms       :   26 (  13 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   21 (  10   ~;   3   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :    8 (   6   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_17,type,
    sQ7_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_18,type,
    sQ8_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_19,type,
    sQ9_eqProxy: ( $real * $real ) > $o ).

fof(f280,plain,
    $false,
    inference(subsumption_resolution,[],[f278,f181]) ).

fof(f181,plain,
    cast_as_carrier_subset(sK3) != the_carrier(sK3),
    inference(literal_reordering,[],[f123]) ).

fof(f123,plain,
    cast_as_carrier_subset(sK3) != the_carrier(sK3),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ( one_sorted_str(sK3)
    & cast_as_carrier_subset(sK3) != the_carrier(sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f70,f99]) ).

fof(f99,plain,
    ( ? [X0] :
        ( one_sorted_str(X0)
        & cast_as_carrier_subset(X0) != the_carrier(X0) )
   => ( one_sorted_str(sK3)
      & cast_as_carrier_subset(sK3) != the_carrier(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f70,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/sandbox/benchmark/theBenchmark.p',t12_pre_topc) ).

fof(f278,plain,
    cast_as_carrier_subset(sK3) = the_carrier(sK3),
    inference(resolution,[],[f194,f170]) ).

fof(f170,plain,
    one_sorted_str(sK3),
    inference(literal_reordering,[],[f124]) ).

fof(f124,plain,
    one_sorted_str(sK3),
    inference(cnf_transformation,[],[f100]) ).

fof(f194,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | cast_as_carrier_subset(X0) = the_carrier(X0) ),
    inference(literal_reordering,[],[f138]) ).

fof(f138,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | cast_as_carrier_subset(X0) = the_carrier(X0) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | cast_as_carrier_subset(X0) = the_carrier(X0) ),
    inference(ennf_transformation,[],[f39]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SEU306+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36  % Computer : n015.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 15:20:21 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.22/0.49  % (32442)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.22/0.50  % (32434)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.52  % (32442)First to succeed.
% 0.22/0.52  % (32440)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.22/0.52  % (32426)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.53  % (32442)Refutation found. Thanks to Tanya!
% 0.22/0.53  % SZS status Theorem for theBenchmark
% 0.22/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.53  % (32442)------------------------------
% 0.22/0.53  % (32442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53  % (32442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53  % (32442)Termination reason: Refutation
% 0.22/0.53  
% 0.22/0.53  % (32442)Memory used [KB]: 5884
% 0.22/0.53  % (32442)Time elapsed: 0.009 s
% 0.22/0.53  % (32442)Instructions burned: 6 (million)
% 0.22/0.53  % (32442)------------------------------
% 0.22/0.53  % (32442)------------------------------
% 0.22/0.53  % (32415)Success in time 0.164 s
%------------------------------------------------------------------------------