TSTP Solution File: SWC065-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC065-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n027.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 : Tue May 21 04:35:58 EDT 2024

% Result   : Unsatisfiable 0.54s 0.78s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   77 (  12 unt;   0 def)
%            Number of atoms       :  221 (  30 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  287 ( 143   ~; 136   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f813,plain,
    $false,
    inference(avatar_sat_refutation,[],[f225,f234,f235,f236,f246,f251,f635,f651,f688,f689,f812]) ).

fof(f812,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f811]) ).

fof(f811,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f784,f250]) ).

fof(f250,plain,
    ( segmentP(nil,nil)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f248,plain,
    ( spl0_7
  <=> segmentP(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f784,plain,
    ( ~ segmentP(nil,nil)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f695,f220]) ).

fof(f220,plain,
    ( nil = sk4
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f218,plain,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f695,plain,
    ( ~ segmentP(nil,sk4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f256,f223]) ).

fof(f223,plain,
    ( nil = sk3
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f222,plain,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f256,plain,
    ( ~ segmentP(sk3,sk4)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f255,f229]) ).

fof(f229,plain,
    ( neq(sk4,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f227,plain,
    ( spl0_3
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f255,plain,
    ( ~ neq(sk4,nil)
    | ~ segmentP(sk3,sk4)
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f254,f202]) ).

fof(f202,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(f254,plain,
    ( ~ ssList(sk4)
    | ~ neq(sk4,nil)
    | ~ segmentP(sk3,sk4)
    | ~ spl0_4 ),
    inference(duplicate_literal_removal,[],[f253]) ).

fof(f253,plain,
    ( ~ ssList(sk4)
    | ~ ssList(sk4)
    | ~ neq(sk4,nil)
    | ~ segmentP(sk3,sk4)
    | ~ spl0_4 ),
    inference(resolution,[],[f57,f233]) ).

fof(f233,plain,
    ( ! [X6] :
        ( ~ segmentP(sk4,X6)
        | ~ ssList(X6)
        | ~ neq(X6,nil)
        | ~ segmentP(sk3,X6) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f232,plain,
    ( spl0_4
  <=> ! [X6] :
        ( ~ segmentP(sk3,X6)
        | ~ ssList(X6)
        | ~ neq(X6,nil)
        | ~ segmentP(sk4,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f57,axiom,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f689,plain,
    ( spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f286,f218,f222]) ).

fof(f286,plain,
    ( nil != sk4
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f285,f192]) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f285,plain,
    ( nil != sk4
    | ~ ssList(sk5)
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f280,f201]) ).

fof(f201,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

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

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

fof(f280,plain,
    ( nil != sk4
    | ~ ssList(sk3)
    | ~ ssList(sk5)
    | nil = sk3 ),
    inference(superposition,[],[f118,f193]) ).

fof(f193,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f688,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_20 ),
    inference(avatar_split_clause,[],[f687,f632,f238,f222]) ).

fof(f238,plain,
    ( spl0_5
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f632,plain,
    ( spl0_20
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f687,plain,
    ( nil = sk3
    | ~ spl0_5
    | spl0_20 ),
    inference(subsumption_resolution,[],[f686,f239]) ).

fof(f239,plain,
    ( ssList(nil)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f686,plain,
    ( nil = sk3
    | ~ ssList(nil)
    | spl0_20 ),
    inference(subsumption_resolution,[],[f674,f201]) ).

fof(f674,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | ~ ssList(nil)
    | spl0_20 ),
    inference(resolution,[],[f634,f100]) ).

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

fof(f634,plain,
    ( ~ neq(sk3,nil)
    | spl0_20 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f651,plain,
    spl0_19,
    inference(avatar_contradiction_clause,[],[f650]) ).

fof(f650,plain,
    ( $false
    | spl0_19 ),
    inference(subsumption_resolution,[],[f649,f201]) ).

fof(f649,plain,
    ( ~ ssList(sk3)
    | spl0_19 ),
    inference(resolution,[],[f630,f57]) ).

fof(f630,plain,
    ( ~ segmentP(sk3,sk3)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f628,plain,
    ( spl0_19
  <=> segmentP(sk3,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f635,plain,
    ( ~ spl0_19
    | ~ spl0_20
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f626,f238,f232,f632,f628]) ).

fof(f626,plain,
    ( ~ neq(sk3,nil)
    | ~ segmentP(sk3,sk3)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f622,f201]) ).

fof(f622,plain,
    ( ~ ssList(sk3)
    | ~ neq(sk3,nil)
    | ~ segmentP(sk3,sk3)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(resolution,[],[f613,f233]) ).

fof(f613,plain,
    ( segmentP(sk4,sk3)
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f608,f192]) ).

fof(f608,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(sk5)
    | ~ spl0_5 ),
    inference(superposition,[],[f602,f193]) ).

fof(f602,plain,
    ( ! [X0] :
        ( segmentP(app(sk3,X0),sk3)
        | ~ ssList(X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f443,f201]) ).

fof(f443,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | segmentP(app(X0,X1),X0)
        | ~ ssList(X1) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f442,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f442,plain,
    ( ! [X0,X1] :
        ( ~ ssList(app(X0,X1))
        | segmentP(app(X0,X1),X0)
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f437,f239]) ).

fof(f437,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | segmentP(app(X0,X1),X0)
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f431]) ).

fof(f431,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | segmentP(app(X0,X1),X0)
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(superposition,[],[f212,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f212,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(app(app(X0,X1),X2))
      | segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,axiom,
    ! [X2,X3,X0,X1] :
      ( segmentP(X3,X1)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | app(app(X0,X1),X2) != X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f251,plain,
    ( ~ spl0_5
    | spl0_7 ),
    inference(avatar_split_clause,[],[f213,f248,f238]) ).

fof(f213,plain,
    ( segmentP(nil,nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f79]) ).

fof(f79,axiom,
    ! [X0] :
      ( segmentP(nil,X0)
      | ~ ssList(X0)
      | nil != X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f246,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f8,f238]) ).

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

fof(f236,plain,
    ( ~ spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f206,f232,f222]) ).

fof(f206,plain,
    ! [X6] :
      ( ~ segmentP(sk3,X6)
      | ~ segmentP(sk4,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil != sk3 ),
    inference(definition_unfolding,[],[f200,f191,f190,f191]) ).

fof(f200,axiom,
    ! [X6] :
      ( ~ segmentP(sk1,X6)
      | ~ segmentP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil != sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f235,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f205,f227,f222]) ).

fof(f205,plain,
    ( neq(sk4,nil)
    | nil != sk3 ),
    inference(definition_unfolding,[],[f199,f190,f191]) ).

fof(f199,axiom,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f234,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f204,f232,f218]) ).

fof(f204,plain,
    ! [X6] :
      ( ~ segmentP(sk3,X6)
      | ~ segmentP(sk4,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil = sk4 ),
    inference(definition_unfolding,[],[f198,f191,f190,f190]) ).

fof(f198,axiom,
    ! [X6] :
      ( ~ segmentP(sk1,X6)
      | ~ segmentP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil = sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f225,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f196,f222,f218]) ).

fof(f196,axiom,
    ( nil != sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC065-1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Sun May 19 03:27:37 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.12/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.12/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.77  % (11589)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.54/0.77  % (11590)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.54/0.77  % (11591)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.54/0.77  % (11592)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.54/0.77  % (11593)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.54/0.77  % (11594)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.54/0.77  % (11587)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.54/0.78  % (11589)First to succeed.
% 0.54/0.78  % (11593)Also succeeded, but the first one will report.
% 0.54/0.78  % (11589)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11586"
% 0.54/0.78  % (11589)Refutation found. Thanks to Tanya!
% 0.54/0.78  % SZS status Unsatisfiable for theBenchmark
% 0.54/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 0.54/0.78  % (11589)------------------------------
% 0.54/0.78  % (11589)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.78  % (11589)Termination reason: Refutation
% 0.54/0.78  
% 0.54/0.78  % (11589)Memory used [KB]: 1372
% 0.54/0.78  % (11589)Time elapsed: 0.013 s
% 0.54/0.78  % (11589)Instructions burned: 33 (million)
% 0.54/0.78  % (11586)Success in time 0.431 s
% 0.54/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------