TSTP Solution File: SWC051-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC051-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n021.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 18:41:24 EDT 2022

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   27 (  13 unt;   3 typ;   0 def)
%            Number of atoms       :   42 (   2 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   43 (  25   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    5 (   5   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_21,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_22,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_23,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f655,plain,
    $false,
    inference(subsumption_resolution,[],[f654,f314]) ).

fof(f314,plain,
    ssList(sk3),
    inference(literal_reordering,[],[f200]) ).

fof(f200,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f654,plain,
    ~ ssList(sk3),
    inference(resolution,[],[f653,f355]) ).

fof(f355,plain,
    ! [X0] :
      ( rearsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(literal_reordering,[],[f59]) ).

fof(f59,axiom,
    ! [X0] :
      ( rearsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f653,plain,
    ~ rearsegP(sk3,sk3),
    inference(subsumption_resolution,[],[f652,f578]) ).

fof(f578,plain,
    rearsegP(sk4,sk3),
    inference(subsumption_resolution,[],[f294,f241]) ).

fof(f241,plain,
    neq(sk4,nil),
    inference(literal_reordering,[],[f199]) ).

fof(f199,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f192,axiom,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f294,plain,
    ( ~ neq(sk4,nil)
    | rearsegP(sk4,sk3) ),
    inference(literal_reordering,[],[f196]) ).

fof(f196,axiom,
    ( rearsegP(sk4,sk3)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f652,plain,
    ( ~ rearsegP(sk4,sk3)
    | ~ rearsegP(sk3,sk3) ),
    inference(subsumption_resolution,[],[f650,f314]) ).

fof(f650,plain,
    ( ~ ssList(sk3)
    | ~ rearsegP(sk4,sk3)
    | ~ rearsegP(sk3,sk3) ),
    inference(resolution,[],[f288,f579]) ).

fof(f579,plain,
    neq(sk3,nil),
    inference(subsumption_resolution,[],[f398,f241]) ).

fof(f398,plain,
    ( neq(sk3,nil)
    | ~ neq(sk4,nil) ),
    inference(literal_reordering,[],[f195]) ).

fof(f195,axiom,
    ( ~ neq(sk4,nil)
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f288,plain,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ rearsegP(sk4,X6)
      | ~ ssList(X6)
      | ~ rearsegP(sk3,X6) ),
    inference(literal_reordering,[],[f198]) ).

fof(f198,plain,
    ! [X6] :
      ( ~ rearsegP(sk3,X6)
      | ~ ssList(X6)
      | ~ rearsegP(sk4,X6)
      | ~ neq(X6,nil) ),
    inference(definition_unfolding,[],[f193,f190,f191]) ).

fof(f193,axiom,
    ! [X6] :
      ( ~ ssList(X6)
      | ~ rearsegP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ rearsegP(sk1,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC051-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % 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 : n021.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 17:58:41 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.45  % (15672)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.45  % (15664)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)
% 0.19/0.46  % (15656)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.47  % (15664)First to succeed.
% 0.19/0.48  % (15664)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48  % (15664)------------------------------
% 0.19/0.48  % (15664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (15664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (15664)Termination reason: Refutation
% 0.19/0.48  
% 0.19/0.48  % (15664)Memory used [KB]: 6268
% 0.19/0.48  % (15664)Time elapsed: 0.016 s
% 0.19/0.48  % (15664)Instructions burned: 12 (million)
% 0.19/0.48  % (15664)------------------------------
% 0.19/0.48  % (15664)------------------------------
% 0.19/0.48  % (15647)Success in time 0.138 s
%------------------------------------------------------------------------------