TSTP Solution File: KRS015-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS015-1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n024.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 07:17:33 EDT 2024

% Result   : Unsatisfiable 0.64s 0.76s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   35 (   3 unt;   0 def)
%            Number of atoms       :   80 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   92 (  47   ~;  43   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f66,plain,
    $false,
    inference(avatar_sat_refutation,[],[f59,f61,f65]) ).

fof(f65,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f64]) ).

fof(f64,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f62,f1]) ).

fof(f1,axiom,
    e(exist),
    file('/export/starexec/sandbox/tmp/tmp.uhfPwrNpTQ/Vampire---4.8_27985',clause_1) ).

fof(f62,plain,
    ( ~ e(exist)
    | spl0_1 ),
    inference(resolution,[],[f54,f33]) ).

fof(f33,plain,
    ! [X0] :
      ( t2least(u4r4(X0))
      | ~ e(X0) ),
    inference(resolution,[],[f32,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ c(X0)
      | t2least(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.uhfPwrNpTQ/Vampire---4.8_27985',clause_2) ).

fof(f32,plain,
    ! [X0] :
      ( c(u4r4(X0))
      | ~ e(X0) ),
    inference(duplicate_literal_removal,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ~ e(X0)
      | c(u4r4(X0))
      | ~ e(X0) ),
    inference(resolution,[],[f18,f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( r(X0,u4r4(X0))
      | ~ e(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.uhfPwrNpTQ/Vampire---4.8_27985',clause_14) ).

fof(f18,axiom,
    ! [X2,X0] :
      ( ~ r(X0,X2)
      | ~ e(X0)
      | c(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.uhfPwrNpTQ/Vampire---4.8_27985',clause_18) ).

fof(f54,plain,
    ( ~ t2least(u4r4(exist))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f52,plain,
    ( spl0_1
  <=> t2least(u4r4(exist)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f61,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f60,f56,f52]) ).

fof(f56,plain,
    ( spl0_2
  <=> t(u4r4(exist),u1r2(u4r4(exist))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f60,plain,
    ( ~ t2least(u4r4(exist))
    | spl0_2 ),
    inference(resolution,[],[f58,f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( t(X0,u1r2(X0))
      | ~ t2least(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.uhfPwrNpTQ/Vampire---4.8_27985',clause_6) ).

fof(f58,plain,
    ( ~ t(u4r4(exist),u1r2(u4r4(exist)))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f59,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f50,f56,f52]) ).

fof(f50,plain,
    ( ~ t(u4r4(exist),u1r2(u4r4(exist)))
    | ~ t2least(u4r4(exist)) ),
    inference(duplicate_literal_removal,[],[f49]) ).

fof(f49,plain,
    ( ~ t(u4r4(exist),u1r2(u4r4(exist)))
    | ~ t2least(u4r4(exist))
    | ~ t2least(u4r4(exist)) ),
    inference(resolution,[],[f47,f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( t(X0,u1r1(X0))
      | ~ t2least(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.uhfPwrNpTQ/Vampire---4.8_27985',clause_5) ).

fof(f47,plain,
    ! [X0] :
      ( ~ t(u4r4(exist),u1r1(X0))
      | ~ t(u4r4(exist),u1r2(X0))
      | ~ t2least(X0) ),
    inference(resolution,[],[f46,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ equalish(u1r2(X0),u1r1(X0))
      | ~ t2least(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.uhfPwrNpTQ/Vampire---4.8_27985',clause_4) ).

fof(f46,plain,
    ! [X0,X1] :
      ( equalish(X1,X0)
      | ~ t(u4r4(exist),X0)
      | ~ t(u4r4(exist),X1) ),
    inference(resolution,[],[f44,f1]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( ~ e(X0)
      | ~ t(u4r4(X0),X2)
      | equalish(X1,X2)
      | ~ t(u4r4(X0),X1) ),
    inference(resolution,[],[f10,f39]) ).

fof(f39,plain,
    ! [X0] :
      ( t1most(u4r4(X0))
      | ~ e(X0) ),
    inference(resolution,[],[f38,f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ~ d(X0)
      | t1most(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.uhfPwrNpTQ/Vampire---4.8_27985',clause_8) ).

fof(f38,plain,
    ! [X0] :
      ( d(u4r4(X0))
      | ~ e(X0) ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ~ e(X0)
      | ~ e(X0)
      | d(u4r4(X0)) ),
    inference(resolution,[],[f36,f17]) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( ~ s(X0,X1)
      | ~ e(X0)
      | d(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.uhfPwrNpTQ/Vampire---4.8_27985',clause_17) ).

fof(f36,plain,
    ! [X0] :
      ( s(X0,u4r4(X0))
      | ~ e(X0) ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ~ e(X0)
      | s(X0,u4r4(X0))
      | ~ e(X0) ),
    inference(resolution,[],[f15,f14]) ).

fof(f15,axiom,
    ! [X3,X0] :
      ( ~ r(X0,X3)
      | ~ e(X0)
      | s(X0,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.uhfPwrNpTQ/Vampire---4.8_27985',clause_15) ).

fof(f10,axiom,
    ! [X2,X0,X1] :
      ( ~ t1most(X0)
      | ~ t(X0,X1)
      | ~ t(X0,X2)
      | equalish(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.uhfPwrNpTQ/Vampire---4.8_27985',clause_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem    : KRS015-1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.16  % 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
% 0.16/0.37  % Computer : n024.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Fri May  3 19:50:23 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.16/0.37  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/tmp/tmp.uhfPwrNpTQ/Vampire---4.8_27985
% 0.56/0.75  % (28389)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 (2996ds/56Mi)
% 0.56/0.75  % (28389)Refutation not found, incomplete strategy% (28389)------------------------------
% 0.56/0.75  % (28389)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (28389)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (28389)Memory used [KB]: 949
% 0.56/0.75  % (28389)Time elapsed: 0.001 s
% 0.56/0.75  % (28389)Instructions burned: 2 (million)
% 0.56/0.75  % (28389)------------------------------
% 0.56/0.75  % (28389)------------------------------
% 0.56/0.75  % (28382)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 (2996ds/34Mi)
% 0.56/0.75  % (28384)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (28385)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.75  % (28387)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.75  % (28383)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 Vampire---4 for (2996ds/51Mi)
% 0.56/0.75  % (28388)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 (2996ds/83Mi)
% 0.56/0.75  % (28386)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 (2996ds/34Mi)
% 0.56/0.75  % (28384)Refutation not found, incomplete strategy% (28384)------------------------------
% 0.56/0.75  % (28384)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (28384)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (28384)Memory used [KB]: 949
% 0.56/0.75  % (28384)Time elapsed: 0.002 s
% 0.56/0.75  % (28384)Instructions burned: 2 (million)
% 0.56/0.75  % (28385)Refutation not found, incomplete strategy% (28385)------------------------------
% 0.56/0.75  % (28385)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (28385)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (28385)Memory used [KB]: 949
% 0.56/0.75  % (28385)Time elapsed: 0.002 s
% 0.56/0.75  % (28385)Instructions burned: 2 (million)
% 0.56/0.75  % (28387)Refutation not found, incomplete strategy% (28387)------------------------------
% 0.56/0.75  % (28387)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (28387)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (28387)Memory used [KB]: 949
% 0.56/0.75  % (28387)Time elapsed: 0.002 s
% 0.56/0.75  % (28387)Instructions burned: 2 (million)
% 0.56/0.75  % (28384)------------------------------
% 0.56/0.75  % (28384)------------------------------
% 0.56/0.75  % (28385)------------------------------
% 0.56/0.75  % (28385)------------------------------
% 0.56/0.75  % (28387)------------------------------
% 0.56/0.75  % (28387)------------------------------
% 0.56/0.75  % (28386)Refutation not found, incomplete strategy% (28386)------------------------------
% 0.56/0.75  % (28386)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (28386)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (28386)Memory used [KB]: 955
% 0.56/0.75  % (28386)Time elapsed: 0.002 s
% 0.56/0.75  % (28386)Instructions burned: 2 (million)
% 0.56/0.75  % (28388)Refutation not found, incomplete strategy% (28388)------------------------------
% 0.56/0.75  % (28388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (28388)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (28388)Memory used [KB]: 956
% 0.56/0.75  % (28388)Time elapsed: 0.003 s
% 0.56/0.75  % (28388)Instructions burned: 2 (million)
% 0.56/0.75  % (28386)------------------------------
% 0.56/0.75  % (28386)------------------------------
% 0.56/0.75  % (28382)Refutation not found, incomplete strategy% (28382)------------------------------
% 0.56/0.75  % (28382)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (28382)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (28382)Memory used [KB]: 970
% 0.56/0.75  % (28382)Time elapsed: 0.003 s
% 0.56/0.75  % (28382)Instructions burned: 3 (million)
% 0.56/0.75  % (28388)------------------------------
% 0.56/0.75  % (28388)------------------------------
% 0.56/0.75  % (28392)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 Vampire---4 for (2996ds/55Mi)
% 0.56/0.75  % (28382)------------------------------
% 0.56/0.75  % (28382)------------------------------
% 0.56/0.76  % (28383)First to succeed.
% 0.56/0.76  % (28392)Also succeeded, but the first one will report.
% 0.56/0.76  % (28383)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28233"
% 0.64/0.76  % (28383)Refutation found. Thanks to Tanya!
% 0.64/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.64/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.76  % (28383)------------------------------
% 0.64/0.76  % (28383)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.76  % (28383)Termination reason: Refutation
% 0.64/0.76  
% 0.64/0.76  % (28383)Memory used [KB]: 991
% 0.64/0.76  % (28383)Time elapsed: 0.005 s
% 0.64/0.76  % (28383)Instructions burned: 4 (million)
% 0.64/0.76  % (28233)Success in time 0.375 s
% 0.64/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------