TSTP Solution File: SWC330-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC330-1 : TPTP v8.1.2. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n029.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 : Sun May  5 09:50:22 EDT 2024

% Result   : Unsatisfiable 0.62s 0.80s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   57 (   8 unt;   0 def)
%            Number of atoms       :  136 (  16 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  141 (  62   ~;  71   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   9 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f465,plain,
    $false,
    inference(avatar_sat_refutation,[],[f234,f263,f264,f265,f266,f277,f303,f313,f462,f464]) ).

fof(f464,plain,
    ( spl0_11
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f463,f246,f222,f274]) ).

fof(f274,plain,
    ( spl0_11
  <=> equalelemsP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f222,plain,
    ( spl0_1
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f246,plain,
    ( spl0_6
  <=> sk3 = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f463,plain,
    ( equalelemsP(sk3)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f320,f224]) ).

fof(f224,plain,
    ( ssItem(sk5)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f320,plain,
    ( equalelemsP(sk3)
    | ~ ssItem(sk5)
    | ~ spl0_6 ),
    inference(superposition,[],[f64,f248]) ).

fof(f248,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f64,axiom,
    ! [X0] :
      ( equalelemsP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.3NZIq2u4N1/Vampire---4.8_15083',clause64) ).

fof(f462,plain,
    ( spl0_10
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f461,f251,f241,f236,f270]) ).

fof(f270,plain,
    ( spl0_10
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f236,plain,
    ( spl0_4
  <=> ssList(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f241,plain,
    ( spl0_5
  <=> ssList(sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f251,plain,
    ( spl0_7
  <=> sk4 = app(app(sk6,sk3),sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f461,plain,
    ( segmentP(sk4,sk3)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f460,f243]) ).

fof(f243,plain,
    ( ssList(sk7)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f460,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(sk7)
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f459,f238]) ).

fof(f238,plain,
    ( ssList(sk6)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f459,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f458,f207]) ).

fof(f207,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.3NZIq2u4N1/Vampire---4.8_15083',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.3NZIq2u4N1/Vampire---4.8_15083',co1_1) ).

fof(f458,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(sk3)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f377,f208]) ).

fof(f208,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.3NZIq2u4N1/Vampire---4.8_15083',co1_5) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.3NZIq2u4N1/Vampire---4.8_15083',co1_2) ).

fof(f377,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(sk4)
    | ~ ssList(sk3)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | ~ spl0_7 ),
    inference(superposition,[],[f216,f253]) ).

fof(f253,plain,
    ( sk4 = app(app(sk6,sk3),sk7)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f216,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(app(app(X0,X1),X2))
      | ~ 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/sandbox2/tmp/tmp.3NZIq2u4N1/Vampire---4.8_15083',clause173) ).

fof(f313,plain,
    ( ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f312]) ).

fof(f312,plain,
    ( $false
    | ~ spl0_3
    | spl0_10 ),
    inference(subsumption_resolution,[],[f310,f208]) ).

fof(f310,plain,
    ( ~ ssList(sk4)
    | ~ spl0_3
    | spl0_10 ),
    inference(resolution,[],[f307,f56]) ).

fof(f56,axiom,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.3NZIq2u4N1/Vampire---4.8_15083',clause56) ).

fof(f307,plain,
    ( ~ segmentP(sk4,nil)
    | ~ spl0_3
    | spl0_10 ),
    inference(forward_demodulation,[],[f272,f233]) ).

fof(f233,plain,
    ( nil = sk3
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f231,plain,
    ( spl0_3
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f272,plain,
    ( ~ segmentP(sk4,sk3)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f303,plain,
    ( ~ spl0_3
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f302]) ).

fof(f302,plain,
    ( $false
    | ~ spl0_3
    | spl0_11 ),
    inference(subsumption_resolution,[],[f301,f1]) ).

fof(f1,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox2/tmp/tmp.3NZIq2u4N1/Vampire---4.8_15083',clause1) ).

fof(f301,plain,
    ( ~ equalelemsP(nil)
    | ~ spl0_3
    | spl0_11 ),
    inference(forward_demodulation,[],[f276,f233]) ).

fof(f276,plain,
    ( ~ equalelemsP(sk3)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f277,plain,
    ( ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f209,f274,f270]) ).

fof(f209,plain,
    ( ~ equalelemsP(sk3)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f206,f191,f190,f191]) ).

fof(f206,axiom,
    ( ~ equalelemsP(sk1)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox2/tmp/tmp.3NZIq2u4N1/Vampire---4.8_15083',co1_21) ).

fof(f266,plain,
    ( spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[],[f203,f231,f251]) ).

fof(f203,axiom,
    ( nil = sk3
    | sk4 = app(app(sk6,sk3),sk7) ),
    file('/export/starexec/sandbox2/tmp/tmp.3NZIq2u4N1/Vampire---4.8_15083',co1_18) ).

fof(f265,plain,
    ( spl0_6
    | spl0_3 ),
    inference(avatar_split_clause,[],[f202,f231,f246]) ).

fof(f202,axiom,
    ( nil = sk3
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.3NZIq2u4N1/Vampire---4.8_15083',co1_17) ).

fof(f264,plain,
    ( spl0_5
    | spl0_3 ),
    inference(avatar_split_clause,[],[f201,f231,f241]) ).

fof(f201,axiom,
    ( nil = sk3
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/tmp/tmp.3NZIq2u4N1/Vampire---4.8_15083',co1_16) ).

fof(f263,plain,
    ( spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f200,f231,f236]) ).

fof(f200,axiom,
    ( nil = sk3
    | ssList(sk6) ),
    file('/export/starexec/sandbox2/tmp/tmp.3NZIq2u4N1/Vampire---4.8_15083',co1_15) ).

fof(f234,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f193,f231,f222]) ).

fof(f193,axiom,
    ( nil = sk3
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/tmp/tmp.3NZIq2u4N1/Vampire---4.8_15083',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SWC330-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 20:25:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.3NZIq2u4N1/Vampire---4.8_15083
% 0.62/0.80  % (15196)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 Vampire---4 for (2995ds/34Mi)
% 0.62/0.80  % (15195)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.80  % (15197)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.80  % (15194)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80  % (15198)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 Vampire---4 for (2995ds/83Mi)
% 0.62/0.80  % (15199)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.62/0.80  % (15192)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 Vampire---4 for (2995ds/34Mi)
% 0.62/0.80  % (15197)First to succeed.
% 0.62/0.80  % (15197)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15191"
% 0.62/0.80  % (15197)Refutation found. Thanks to Tanya!
% 0.62/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.80  % (15197)------------------------------
% 0.62/0.80  % (15197)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (15197)Termination reason: Refutation
% 0.62/0.80  
% 0.62/0.80  % (15197)Memory used [KB]: 1254
% 0.62/0.80  % (15197)Time elapsed: 0.007 s
% 0.62/0.80  % (15197)Instructions burned: 10 (million)
% 0.62/0.80  % (15191)Success in time 0.441 s
% 0.62/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------