TSTP Solution File: SWC211-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC211-1 : 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 : n023.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 04:37:08 EDT 2024

% Result   : Unsatisfiable 0.57s 0.73s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   79 (  15 unt;   0 def)
%            Number of atoms       :  212 (  50 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  246 ( 113   ~; 122   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  12 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f427,plain,
    $false,
    inference(avatar_sat_refutation,[],[f268,f276,f302,f318,f380,f384,f386,f400,f405,f414,f417,f426]) ).

fof(f426,plain,
    ( ~ spl0_5
    | spl0_4
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f425,f402,f393,f242,f252]) ).

fof(f252,plain,
    ( spl0_5
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f242,plain,
    ( spl0_4
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f393,plain,
    ( spl0_16
  <=> nil = cons(hd(sk4),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f402,plain,
    ( spl0_18
  <=> nil = tl(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f425,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f424]) ).

fof(f424,plain,
    ( nil = sk4
    | nil = sk4
    | ~ ssList(sk4)
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f421,f395]) ).

fof(f395,plain,
    ( nil = cons(hd(sk4),nil)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f421,plain,
    ( sk4 = cons(hd(sk4),nil)
    | nil = sk4
    | ~ ssList(sk4)
    | ~ spl0_18 ),
    inference(superposition,[],[f104,f404]) ).

fof(f404,plain,
    ( nil = tl(sk4)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f104,axiom,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f417,plain,
    ( ~ spl0_13
    | ~ spl0_6
    | spl0_17 ),
    inference(avatar_split_clause,[],[f416,f397,f256,f369]) ).

fof(f369,plain,
    ( spl0_13
  <=> ssItem(hd(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f256,plain,
    ( spl0_6
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f397,plain,
    ( spl0_17
  <=> ssList(cons(hd(sk4),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f416,plain,
    ( ~ ssList(nil)
    | ~ ssItem(hd(sk4))
    | spl0_17 ),
    inference(resolution,[],[f399,f86]) ).

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

fof(f399,plain,
    ( ~ ssList(cons(hd(sk4),nil))
    | spl0_17 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f414,plain,
    ( ~ spl0_6
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f411,f242,f256]) ).

fof(f411,plain,
    ( ~ ssList(nil)
    | ~ spl0_4 ),
    inference(resolution,[],[f408,f228]) ).

fof(f228,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f206]) ).

fof(f206,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ neq(X0,X1)
      | X0 != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f408,plain,
    ( neq(nil,nil)
    | ~ spl0_4 ),
    inference(superposition,[],[f198,f243]) ).

fof(f243,plain,
    ( nil = sk4
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f198,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

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

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

fof(f405,plain,
    ( spl0_18
    | ~ spl0_17
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f390,f377,f373,f397,f402]) ).

fof(f373,plain,
    ( spl0_14
  <=> ssList(tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f377,plain,
    ( spl0_15
  <=> nil = app(tl(sk4),cons(hd(sk4),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f390,plain,
    ( ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | nil = tl(sk4)
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f388]) ).

fof(f388,plain,
    ( nil != nil
    | ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | nil = tl(sk4)
    | ~ spl0_15 ),
    inference(superposition,[],[f118,f379]) ).

fof(f379,plain,
    ( nil = app(tl(sk4),cons(hd(sk4),nil))
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f377]) ).

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

fof(f400,plain,
    ( spl0_16
    | ~ spl0_17
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f391,f377,f373,f397,f393]) ).

fof(f391,plain,
    ( ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | nil = cons(hd(sk4),nil)
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f387]) ).

fof(f387,plain,
    ( nil != nil
    | ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | nil = cons(hd(sk4),nil)
    | ~ spl0_15 ),
    inference(superposition,[],[f119,f379]) ).

fof(f119,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f386,plain,
    ( ~ spl0_5
    | spl0_4
    | spl0_14 ),
    inference(avatar_split_clause,[],[f385,f373,f242,f252]) ).

fof(f385,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_14 ),
    inference(resolution,[],[f375,f75]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f375,plain,
    ( ~ ssList(tl(sk4))
    | spl0_14 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f384,plain,
    ( ~ spl0_5
    | spl0_4
    | spl0_13 ),
    inference(avatar_split_clause,[],[f381,f369,f242,f252]) ).

fof(f381,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_13 ),
    inference(resolution,[],[f371,f76]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f371,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_13 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f380,plain,
    ( ~ spl0_5
    | spl0_4
    | ~ spl0_13
    | ~ spl0_14
    | spl0_15
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f367,f238,f377,f373,f369,f242,f252]) ).

fof(f238,plain,
    ( spl0_3
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f367,plain,
    ( nil = app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(tl(sk4))
    | ~ ssItem(hd(sk4))
    | nil = sk4
    | ~ ssList(sk4)
    | ~ spl0_3 ),
    inference(equality_resolution,[],[f365]) ).

fof(f365,plain,
    ( ! [X0] :
        ( sk4 != X0
        | nil = app(tl(X0),cons(hd(X0),nil))
        | ~ ssList(tl(X0))
        | ~ ssItem(hd(X0))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl0_3 ),
    inference(superposition,[],[f364,f104]) ).

fof(f364,plain,
    ( ! [X0,X1] :
        ( cons(X0,X1) != sk4
        | nil = app(X1,cons(X0,nil))
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f363,f240]) ).

fof(f240,plain,
    ( nil = sk3
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f363,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sk4
      | sk3 = app(X1,cons(X0,nil))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f356]) ).

fof(f356,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sk4
      | sk3 = app(X1,cons(X0,nil))
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f193,f120]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f193,axiom,
    ! [X6,X7] :
      ( sk4 != app(cons(X6,nil),X7)
      | sk3 = app(X7,cons(X6,nil))
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f318,plain,
    spl0_10,
    inference(avatar_contradiction_clause,[],[f317]) ).

fof(f317,plain,
    ( $false
    | spl0_10 ),
    inference(resolution,[],[f301,f196]) ).

fof(f196,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(f301,plain,
    ( ~ ssList(sk3)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f299,plain,
    ( spl0_10
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f302,plain,
    ( ~ spl0_6
    | ~ spl0_10
    | spl0_3 ),
    inference(avatar_split_clause,[],[f293,f238,f299,f256]) ).

fof(f293,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | ~ ssList(nil) ),
    inference(resolution,[],[f100,f199]) ).

fof(f199,plain,
    ~ neq(sk3,nil),
    inference(definition_unfolding,[],[f194,f191]) ).

fof(f194,axiom,
    ~ neq(sk1,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

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

fof(f276,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f275]) ).

fof(f275,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f258,f8]) ).

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

fof(f258,plain,
    ( ~ ssList(nil)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f268,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f267]) ).

fof(f267,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f254,f197]) ).

fof(f197,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

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

fof(f254,plain,
    ( ~ ssList(sk4)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f252]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC211-1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.13  % 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
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 03:10:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.34  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
% 0.47/0.72  % (26829)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 (2996ds/56Mi)
% 0.47/0.72  % (26822)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 (2996ds/34Mi)
% 0.47/0.72  % (26824)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.47/0.72  % (26823)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.47/0.72  % (26827)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.47/0.72  % (26828)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 (2996ds/83Mi)
% 0.47/0.72  % (26829)Refutation not found, incomplete strategy% (26829)------------------------------
% 0.47/0.72  % (26829)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.72  % (26829)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.72  
% 0.47/0.72  % (26829)Memory used [KB]: 1168
% 0.47/0.72  % (26829)Time elapsed: 0.003 s
% 0.47/0.72  % (26829)Instructions burned: 3 (million)
% 0.47/0.72  % (26829)------------------------------
% 0.47/0.72  % (26829)------------------------------
% 0.47/0.72  % (26827)Refutation not found, incomplete strategy% (26827)------------------------------
% 0.47/0.72  % (26827)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.72  % (26827)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.72  
% 0.47/0.72  % (26827)Memory used [KB]: 1168
% 0.47/0.72  % (26827)Time elapsed: 0.003 s
% 0.47/0.72  % (26827)Instructions burned: 3 (million)
% 0.47/0.72  % (26827)------------------------------
% 0.47/0.72  % (26827)------------------------------
% 0.47/0.72  % (26822)Refutation not found, incomplete strategy% (26822)------------------------------
% 0.47/0.72  % (26822)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.72  % (26822)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.72  
% 0.47/0.72  % (26822)Memory used [KB]: 1200
% 0.47/0.72  % (26822)Time elapsed: 0.005 s
% 0.47/0.72  % (26822)Instructions burned: 6 (million)
% 0.47/0.72  % (26822)------------------------------
% 0.47/0.72  % (26822)------------------------------
% 0.47/0.72  % (26830)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.47/0.72  % (26825)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.57/0.73  % (26826)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 (2996ds/34Mi)
% 0.57/0.73  % (26832)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.57/0.73  % (26831)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.57/0.73  % (26823)First to succeed.
% 0.57/0.73  % (26823)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26821"
% 0.57/0.73  % (26823)Refutation found. Thanks to Tanya!
% 0.57/0.73  % SZS status Unsatisfiable for theBenchmark
% 0.57/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.73  % (26823)------------------------------
% 0.57/0.73  % (26823)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (26823)Termination reason: Refutation
% 0.57/0.73  
% 0.57/0.73  % (26823)Memory used [KB]: 1297
% 0.57/0.73  % (26823)Time elapsed: 0.012 s
% 0.57/0.73  % (26823)Instructions burned: 17 (million)
% 0.57/0.73  % (26821)Success in time 0.382 s
% 0.57/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------