TSTP Solution File: SWC025-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC025-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Tue May 21 04:35:38 EDT 2024

% Result   : Unsatisfiable 0.53s 0.75s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   61 (   9 unt;   0 def)
%            Number of atoms       :  156 (  31 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  166 (  71   ~;  87   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f978,plain,
    $false,
    inference(avatar_sat_refutation,[],[f250,f251,f907,f911,f913,f926,f933,f940,f946,f965]) ).

fof(f965,plain,
    ( ~ spl0_32
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f961,f904,f896]) ).

fof(f896,plain,
    ( spl0_32
  <=> ssItem(hd(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f904,plain,
    ( spl0_34
  <=> memberP(nil,hd(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f961,plain,
    ( ~ ssItem(hd(sk3))
    | ~ spl0_34 ),
    inference(resolution,[],[f906,f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f906,plain,
    ( memberP(nil,hd(sk3))
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f946,plain,
    ( ~ spl0_35
    | ~ spl0_4
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f942,f919,f247,f915]) ).

fof(f915,plain,
    ( spl0_35
  <=> ssItem(hd(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f247,plain,
    ( spl0_4
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f919,plain,
    ( spl0_36
  <=> memberP(sk3,hd(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f942,plain,
    ( ~ ssItem(hd(sk4))
    | ~ spl0_4
    | ~ spl0_36 ),
    inference(resolution,[],[f941,f71]) ).

fof(f941,plain,
    ( memberP(nil,hd(sk4))
    | ~ spl0_4
    | ~ spl0_36 ),
    inference(forward_demodulation,[],[f921,f249]) ).

fof(f249,plain,
    ( nil = sk3
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f921,plain,
    ( memberP(sk3,hd(sk4))
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f940,plain,
    ( ~ spl0_37
    | spl0_3
    | spl0_35 ),
    inference(avatar_split_clause,[],[f937,f915,f243,f923]) ).

fof(f923,plain,
    ( spl0_37
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f243,plain,
    ( spl0_3
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f937,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_35 ),
    inference(resolution,[],[f917,f76]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f917,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_35 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f933,plain,
    spl0_37,
    inference(avatar_contradiction_clause,[],[f932]) ).

fof(f932,plain,
    ( $false
    | spl0_37 ),
    inference(resolution,[],[f925,f200]) ).

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

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

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f925,plain,
    ( ~ ssList(sk4)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f926,plain,
    ( ~ spl0_35
    | spl0_36
    | ~ spl0_37
    | spl0_3 ),
    inference(avatar_split_clause,[],[f884,f243,f923,f919,f915]) ).

fof(f884,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | memberP(sk3,hd(sk4))
    | ~ ssItem(hd(sk4)) ),
    inference(resolution,[],[f882,f194]) ).

fof(f194,axiom,
    ! [X6] :
      ( ~ memberP(sk4,X6)
      | memberP(sk3,X6)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f882,plain,
    ! [X0] :
      ( memberP(X0,hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f877]) ).

fof(f877,plain,
    ! [X0] :
      ( memberP(X0,hd(X0))
      | nil = X0
      | ~ ssList(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f876,f76]) ).

fof(f876,plain,
    ! [X0] :
      ( ~ ssItem(hd(X0))
      | memberP(X0,hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f873]) ).

fof(f873,plain,
    ! [X0] :
      ( ~ ssItem(hd(X0))
      | memberP(X0,hd(X0))
      | nil = X0
      | ~ ssList(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f294,f75]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f294,plain,
    ! [X0] :
      ( ~ ssList(tl(X0))
      | ~ ssItem(hd(X0))
      | memberP(X0,hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(superposition,[],[f231,f104]) ).

fof(f104,axiom,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f231,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f214]) ).

fof(f214,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssItem(X1)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f138]) ).

fof(f138,axiom,
    ! [X2,X0,X1] :
      ( memberP(cons(X1,X2),X0)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | X0 != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f913,plain,
    spl0_33,
    inference(avatar_contradiction_clause,[],[f912]) ).

fof(f912,plain,
    ( $false
    | spl0_33 ),
    inference(resolution,[],[f902,f199]) ).

fof(f199,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(f902,plain,
    ( ~ ssList(sk3)
    | spl0_33 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f900,plain,
    ( spl0_33
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f911,plain,
    ( ~ spl0_33
    | spl0_4
    | spl0_32 ),
    inference(avatar_split_clause,[],[f908,f896,f247,f900]) ).

fof(f908,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | spl0_32 ),
    inference(resolution,[],[f898,f76]) ).

fof(f898,plain,
    ( ~ ssItem(hd(sk3))
    | spl0_32 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f907,plain,
    ( ~ spl0_32
    | ~ spl0_33
    | spl0_4
    | spl0_34
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f894,f243,f904,f247,f900,f896]) ).

fof(f894,plain,
    ( memberP(nil,hd(sk3))
    | nil = sk3
    | ~ ssList(sk3)
    | ~ ssItem(hd(sk3))
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f883,f245]) ).

fof(f245,plain,
    ( nil = sk4
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f883,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | memberP(sk4,hd(sk3))
    | ~ ssItem(hd(sk3)) ),
    inference(resolution,[],[f882,f193]) ).

fof(f193,axiom,
    ! [X6] :
      ( ~ memberP(sk3,X6)
      | memberP(sk4,X6)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f251,plain,
    ( ~ spl0_4
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f204,f243,f247]) ).

fof(f204,plain,
    ( nil != sk4
    | nil != sk3 ),
    inference(definition_unfolding,[],[f198,f190,f191]) ).

fof(f198,axiom,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f250,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f201,f247,f243]) ).

fof(f201,plain,
    ( nil = sk3
    | nil = sk4 ),
    inference(definition_unfolding,[],[f195,f191,f190]) ).

fof(f195,axiom,
    ( nil = sk1
    | nil = sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC025-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14  % 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
% 0.13/0.34  % Computer : n015.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 02:59:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.35  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/benchmark/theBenchmark.p
% 0.53/0.73  % (24386)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)
% 0.53/0.73  % (24388)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)
% 0.53/0.73  % (24387)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)
% 0.53/0.73  % (24381)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)
% 0.53/0.73  % (24383)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.53/0.73  % (24384)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)
% 0.53/0.73  % (24382)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)
% 0.53/0.73  % (24385)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)
% 0.53/0.73  % (24386)Refutation not found, incomplete strategy% (24386)------------------------------
% 0.53/0.73  % (24386)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73  % (24386)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73  
% 0.53/0.73  % (24386)Memory used [KB]: 1180
% 0.53/0.73  % (24386)Time elapsed: 0.003 s
% 0.53/0.73  % (24386)Instructions burned: 4 (million)
% 0.53/0.73  % (24386)------------------------------
% 0.53/0.73  % (24386)------------------------------
% 0.53/0.73  % (24388)Refutation not found, incomplete strategy% (24388)------------------------------
% 0.53/0.73  % (24388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73  % (24388)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73  
% 0.53/0.73  % (24388)Memory used [KB]: 1184
% 0.53/0.73  % (24388)Time elapsed: 0.003 s
% 0.53/0.73  % (24388)Instructions burned: 4 (million)
% 0.53/0.73  % (24388)------------------------------
% 0.53/0.73  % (24388)------------------------------
% 0.53/0.73  % (24384)Refutation not found, incomplete strategy% (24384)------------------------------
% 0.53/0.73  % (24384)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73  % (24384)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73  
% 0.53/0.73  % (24384)Memory used [KB]: 1190
% 0.53/0.73  % (24384)Time elapsed: 0.004 s
% 0.53/0.73  % (24384)Instructions burned: 4 (million)
% 0.53/0.73  % (24384)------------------------------
% 0.53/0.73  % (24384)------------------------------
% 0.53/0.73  % (24381)Refutation not found, incomplete strategy% (24381)------------------------------
% 0.53/0.73  % (24381)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73  % (24381)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73  
% 0.53/0.73  % (24381)Memory used [KB]: 1195
% 0.53/0.73  % (24381)Time elapsed: 0.006 s
% 0.53/0.73  % (24381)Instructions burned: 7 (million)
% 0.53/0.73  % (24381)------------------------------
% 0.53/0.73  % (24381)------------------------------
% 0.53/0.74  % (24390)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)
% 0.53/0.74  % (24389)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)
% 0.53/0.75  % (24391)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)
% 0.53/0.75  % (24385)Instruction limit reached!
% 0.53/0.75  % (24385)------------------------------
% 0.53/0.75  % (24385)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75  % (24385)Termination reason: Unknown
% 0.53/0.75  % (24385)Termination phase: Saturation
% 0.53/0.75  
% 0.53/0.75  % (24385)Memory used [KB]: 1686
% 0.53/0.75  % (24385)Time elapsed: 0.020 s
% 0.53/0.75  % (24385)Instructions burned: 35 (million)
% 0.53/0.75  % (24385)------------------------------
% 0.53/0.75  % (24385)------------------------------
% 0.53/0.75  % (24389)Refutation not found, incomplete strategy% (24389)------------------------------
% 0.53/0.75  % (24389)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75  % (24389)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75  
% 0.53/0.75  % (24389)Memory used [KB]: 1190
% 0.53/0.75  % (24389)Time elapsed: 0.004 s
% 0.53/0.75  % (24389)Instructions burned: 4 (million)
% 0.53/0.75  % (24389)------------------------------
% 0.53/0.75  % (24389)------------------------------
% 0.53/0.75  % (24382)First to succeed.
% 0.53/0.75  % (24391)Refutation not found, incomplete strategy% (24391)------------------------------
% 0.53/0.75  % (24391)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75  % (24391)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75  
% 0.53/0.75  % (24391)Memory used [KB]: 1207
% 0.53/0.75  % (24391)Time elapsed: 0.007 s
% 0.53/0.75  % (24391)Instructions burned: 7 (million)
% 0.53/0.75  % (24391)------------------------------
% 0.53/0.75  % (24391)------------------------------
% 0.53/0.75  % (24382)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24380"
% 0.53/0.75  % (24382)Refutation found. Thanks to Tanya!
% 0.53/0.75  % SZS status Unsatisfiable for theBenchmark
% 0.53/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.53/0.75  % (24382)------------------------------
% 0.53/0.75  % (24382)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75  % (24382)Termination reason: Refutation
% 0.53/0.75  
% 0.53/0.75  % (24382)Memory used [KB]: 1423
% 0.53/0.75  % (24382)Time elapsed: 0.023 s
% 0.53/0.75  % (24382)Instructions burned: 33 (million)
% 0.53/0.75  % (24380)Success in time 0.384 s
% 0.53/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------