TSTP Solution File: SWC323-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC323-1 : 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 : 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 18:43:09 EDT 2022

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   39 (  10 unt;   0 def)
%            Number of atoms       :   90 (  46 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   98 (  47   ~;  51   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f600,plain,
    $false,
    inference(subsumption_resolution,[],[f599,f572]) ).

fof(f572,plain,
    nil = sk4,
    inference(subsumption_resolution,[],[f571,f323]) ).

fof(f323,plain,
    ( ssItem(sk5)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f320,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f320,plain,
    ( ~ ssList(nil)
    | nil = sk4
    | ssItem(sk5) ),
    inference(resolution,[],[f275,f194]) ).

fof(f194,axiom,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f275,plain,
    ! [X14] :
      ( neq(sk4,X14)
      | ~ ssList(X14)
      | sk4 = X14 ),
    inference(resolution,[],[f100,f200]) ).

fof(f200,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

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

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | neq(X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f571,plain,
    ( ~ ssItem(sk5)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f570,f8]) ).

fof(f570,plain,
    ( ~ ssList(nil)
    | nil = sk4
    | ~ ssItem(sk5) ),
    inference(resolution,[],[f569,f86]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f569,plain,
    ( ~ ssList(cons(sk5,nil))
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f568,f324]) ).

fof(f324,plain,
    ( sk3 = app(sk6,cons(sk5,nil))
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f317,f8]) ).

fof(f317,plain,
    ( sk3 = app(sk6,cons(sk5,nil))
    | ~ ssList(nil)
    | nil = sk4 ),
    inference(resolution,[],[f275,f197]) ).

fof(f197,axiom,
    ( ~ neq(sk4,nil)
    | sk3 = app(sk6,cons(sk5,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f568,plain,
    ( sk3 != app(sk6,cons(sk5,nil))
    | nil = sk4
    | ~ ssList(cons(sk5,nil)) ),
    inference(subsumption_resolution,[],[f565,f322]) ).

fof(f322,plain,
    ( ssList(sk6)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f319,f8]) ).

fof(f319,plain,
    ( nil = sk4
    | ssList(sk6)
    | ~ ssList(nil) ),
    inference(resolution,[],[f275,f195]) ).

fof(f195,axiom,
    ( ~ neq(sk4,nil)
    | ssList(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f565,plain,
    ( ~ ssList(cons(sk5,nil))
    | ~ ssList(sk6)
    | nil = sk4
    | sk3 != app(sk6,cons(sk5,nil)) ),
    inference(trivial_inequality_removal,[],[f564]) ).

fof(f564,plain,
    ( sk3 != app(sk6,cons(sk5,nil))
    | ~ ssList(sk6)
    | ~ ssList(cons(sk5,nil))
    | nil = sk4
    | sk4 != sk4 ),
    inference(superposition,[],[f199,f325]) ).

fof(f325,plain,
    ( sk4 = app(cons(sk5,nil),sk6)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f318,f8]) ).

fof(f318,plain,
    ( ~ ssList(nil)
    | nil = sk4
    | sk4 = app(cons(sk5,nil),sk6) ),
    inference(resolution,[],[f275,f196]) ).

fof(f196,axiom,
    ( ~ neq(sk4,nil)
    | sk4 = app(cons(sk5,nil),sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f199,plain,
    ! [X6,X7] :
      ( sk4 != app(X6,X7)
      | ~ ssList(X7)
      | sk3 != app(X7,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f192,f190,f191]) ).

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

fof(f192,axiom,
    ! [X6,X7] :
      ( ~ ssList(X7)
      | sk2 != app(X6,X7)
      | sk1 != app(X7,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f599,plain,
    nil != sk4,
    inference(subsumption_resolution,[],[f598,f8]) ).

fof(f598,plain,
    ( ~ ssList(nil)
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f596,f583]) ).

fof(f583,plain,
    nil = sk3,
    inference(trivial_inequality_removal,[],[f573]) ).

fof(f573,plain,
    ( nil != nil
    | nil = sk3 ),
    inference(superposition,[],[f193,f572]) ).

fof(f193,axiom,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f596,plain,
    ( nil != sk3
    | nil != sk4
    | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f591]) ).

fof(f591,plain,
    ( ~ ssList(nil)
    | nil != sk4
    | ~ ssList(nil)
    | nil != sk3 ),
    inference(superposition,[],[f199,f238]) ).

fof(f238,plain,
    nil = app(nil,nil),
    inference(resolution,[],[f73,f8]) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC323-1 : TPTP v8.1.0. Released v2.4.0.
% 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
% 0.13/0.32  % Computer : n015.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Tue Aug 30 18:58:36 EDT 2022
% 0.13/0.32  % CPUTime    : 
% 0.18/0.43  % (19868)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 (2999ds/37Mi)
% 0.18/0.45  % (19892)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)
% 0.18/0.45  % (19876)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.47  % (19868)First to succeed.
% 0.18/0.48  % (19868)Refutation found. Thanks to Tanya!
% 0.18/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48  % (19868)------------------------------
% 0.18/0.48  % (19868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (19868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (19868)Termination reason: Refutation
% 0.18/0.48  
% 0.18/0.48  % (19868)Memory used [KB]: 1535
% 0.18/0.48  % (19868)Time elapsed: 0.115 s
% 0.18/0.48  % (19868)Instructions burned: 27 (million)
% 0.18/0.48  % (19868)------------------------------
% 0.18/0.48  % (19868)------------------------------
% 0.18/0.48  % (19865)Success in time 0.146 s
%------------------------------------------------------------------------------