TSTP Solution File: FLD060-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : FLD060-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : 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 : Wed May  1 02:20:12 EDT 2024

% Result   : Unsatisfiable 0.63s 0.85s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   23 (  10 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   46 (  25   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f300,plain,
    $false,
    inference(subsumption_resolution,[],[f299,f28]) ).

fof(f28,axiom,
    defined(b),
    file('/export/starexec/sandbox/tmp/tmp.BZ1XQM74GG/Vampire---4.8_25717',b_is_defined) ).

fof(f299,plain,
    ~ defined(b),
    inference(subsumption_resolution,[],[f294,f27]) ).

fof(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox/tmp/tmp.BZ1XQM74GG/Vampire---4.8_25717',a_is_defined) ).

fof(f294,plain,
    ( ~ defined(a)
    | ~ defined(b) ),
    inference(resolution,[],[f104,f19]) ).

fof(f19,axiom,
    ! [X3,X0] :
      ( sum(X0,X3,add(X0,X3))
      | ~ defined(X0)
      | ~ defined(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.BZ1XQM74GG/Vampire---4.8_25717',totality_of_addition) ).

fof(f104,plain,
    ~ sum(a,b,add(a,b)),
    inference(subsumption_resolution,[],[f100,f34]) ).

fof(f34,axiom,
    ~ less_or_equal(u,v),
    file('/export/starexec/sandbox/tmp/tmp.BZ1XQM74GG/Vampire---4.8_25717',not_less_or_equal_8) ).

fof(f100,plain,
    ( ~ sum(a,b,add(a,b))
    | less_or_equal(u,v) ),
    inference(resolution,[],[f99,f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ less_or_equal(X1,X0)
      | ~ sum(a,b,X0)
      | less_or_equal(X1,v) ),
    inference(resolution,[],[f47,f22]) ).

fof(f22,axiom,
    ! [X3,X0,X5] :
      ( ~ less_or_equal(X3,X5)
      | ~ less_or_equal(X0,X3)
      | less_or_equal(X0,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.BZ1XQM74GG/Vampire---4.8_25717',transitivity_of_order_relation) ).

fof(f47,plain,
    ! [X0] :
      ( less_or_equal(X0,v)
      | ~ sum(a,b,X0) ),
    inference(resolution,[],[f35,f33]) ).

fof(f33,axiom,
    sum(b,b,v),
    file('/export/starexec/sandbox/tmp/tmp.BZ1XQM74GG/Vampire---4.8_25717',sum_7) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( ~ sum(b,X0,X2)
      | ~ sum(a,X0,X1)
      | less_or_equal(X1,X2) ),
    inference(resolution,[],[f31,f24]) ).

fof(f24,axiom,
    ! [X3,X0,X1,X4,X5] :
      ( ~ less_or_equal(X0,X3)
      | ~ sum(X0,X5,X4)
      | ~ sum(X3,X5,X1)
      | less_or_equal(X4,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.BZ1XQM74GG/Vampire---4.8_25717',compatibility_of_order_relation_and_addition) ).

fof(f31,axiom,
    less_or_equal(a,b),
    file('/export/starexec/sandbox/tmp/tmp.BZ1XQM74GG/Vampire---4.8_25717',less_or_equal_5) ).

fof(f99,plain,
    less_or_equal(u,add(a,b)),
    inference(subsumption_resolution,[],[f98,f28]) ).

fof(f98,plain,
    ( less_or_equal(u,add(a,b))
    | ~ defined(b) ),
    inference(subsumption_resolution,[],[f97,f27]) ).

fof(f97,plain,
    ( less_or_equal(u,add(a,b))
    | ~ defined(a)
    | ~ defined(b) ),
    inference(resolution,[],[f86,f19]) ).

fof(f86,plain,
    ! [X0] :
      ( ~ sum(a,b,X0)
      | less_or_equal(u,X0) ),
    inference(resolution,[],[f49,f32]) ).

fof(f32,axiom,
    sum(a,a,u),
    file('/export/starexec/sandbox/tmp/tmp.BZ1XQM74GG/Vampire---4.8_25717',sum_6) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( ~ sum(a,X0,X1)
      | less_or_equal(X1,X2)
      | ~ sum(X0,b,X2) ),
    inference(resolution,[],[f35,f5]) ).

fof(f5,axiom,
    ! [X3,X0,X5] :
      ( sum(X3,X0,X5)
      | ~ sum(X0,X3,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.BZ1XQM74GG/Vampire---4.8_25717',commutativity_addition) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : FLD060-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.13  % 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
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Apr 30 18:21:05 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.13/0.33  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.13/0.33  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.BZ1XQM74GG/Vampire---4.8_25717
% 0.63/0.81  % (25833)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)
% 0.63/0.81  % (25834)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)
% 0.63/0.81  % (25835)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)
% 0.63/0.81  % (25830)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 (2995ds/51Mi)
% 0.63/0.81  % (25829)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)
% 0.63/0.81  % (25836)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)
% 0.63/0.81  % (25837)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)
% 0.63/0.82  % (25831)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.83  % (25833)Instruction limit reached!
% 0.63/0.83  % (25833)------------------------------
% 0.63/0.83  % (25833)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83  % (25833)Termination reason: Unknown
% 0.63/0.83  % (25833)Termination phase: Saturation
% 0.63/0.83  
% 0.63/0.83  % (25833)Memory used [KB]: 1185
% 0.63/0.83  % (25833)Time elapsed: 0.018 s
% 0.63/0.83  % (25833)Instructions burned: 35 (million)
% 0.63/0.83  % (25833)------------------------------
% 0.63/0.83  % (25833)------------------------------
% 0.63/0.83  % (25829)Instruction limit reached!
% 0.63/0.83  % (25829)------------------------------
% 0.63/0.83  % (25829)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83  % (25829)Termination reason: Unknown
% 0.63/0.83  % (25829)Termination phase: Saturation
% 0.63/0.83  
% 0.63/0.83  % (25829)Memory used [KB]: 1221
% 0.63/0.83  % (25829)Time elapsed: 0.018 s
% 0.63/0.83  % (25829)Instructions burned: 34 (million)
% 0.63/0.83  % (25829)------------------------------
% 0.63/0.83  % (25829)------------------------------
% 0.63/0.83  % (25834)Instruction limit reached!
% 0.63/0.83  % (25834)------------------------------
% 0.63/0.83  % (25834)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83  % (25834)Termination reason: Unknown
% 0.63/0.83  % (25834)Termination phase: Saturation
% 0.63/0.83  
% 0.63/0.83  % (25834)Memory used [KB]: 1317
% 0.63/0.83  % (25834)Time elapsed: 0.019 s
% 0.63/0.83  % (25834)Instructions burned: 34 (million)
% 0.63/0.83  % (25834)------------------------------
% 0.63/0.83  % (25834)------------------------------
% 0.63/0.83  % (25838)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 (2995ds/55Mi)
% 0.63/0.83  % (25830)Instruction limit reached!
% 0.63/0.83  % (25830)------------------------------
% 0.63/0.83  % (25830)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83  % (25830)Termination reason: Unknown
% 0.63/0.83  % (25830)Termination phase: Saturation
% 0.63/0.83  
% 0.63/0.83  % (25830)Memory used [KB]: 1228
% 0.63/0.83  % (25830)Time elapsed: 0.022 s
% 0.63/0.83  % (25830)Instructions burned: 51 (million)
% 0.63/0.83  % (25830)------------------------------
% 0.63/0.83  % (25830)------------------------------
% 0.63/0.83  % (25835)Instruction limit reached!
% 0.63/0.83  % (25835)------------------------------
% 0.63/0.83  % (25835)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83  % (25835)Termination reason: Unknown
% 0.63/0.83  % (25835)Termination phase: Saturation
% 0.63/0.83  
% 0.63/0.83  % (25835)Memory used [KB]: 1382
% 0.63/0.83  % (25835)Time elapsed: 0.022 s
% 0.63/0.83  % (25835)Instructions burned: 45 (million)
% 0.63/0.83  % (25835)------------------------------
% 0.63/0.83  % (25835)------------------------------
% 0.63/0.83  % (25839)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 Vampire---4 for (2995ds/50Mi)
% 0.63/0.83  % (25840)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.63/0.83  % (25838)Refutation not found, incomplete strategy% (25838)------------------------------
% 0.63/0.83  % (25838)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83  % (25838)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.83  
% 0.63/0.83  % (25838)Memory used [KB]: 980
% 0.63/0.83  % (25838)Time elapsed: 0.003 s
% 0.63/0.83  % (25838)Instructions burned: 3 (million)
% 0.63/0.83  % (25838)------------------------------
% 0.63/0.83  % (25838)------------------------------
% 0.63/0.84  % (25841)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.63/0.84  % (25842)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.63/0.84  % (25843)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.63/0.84  % (25837)Instruction limit reached!
% 0.63/0.84  % (25837)------------------------------
% 0.63/0.84  % (25837)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.84  % (25837)Termination reason: Unknown
% 0.63/0.84  % (25837)Termination phase: Saturation
% 0.63/0.84  
% 0.63/0.84  % (25837)Memory used [KB]: 1222
% 0.63/0.84  % (25837)Time elapsed: 0.026 s
% 0.63/0.84  % (25837)Instructions burned: 56 (million)
% 0.63/0.84  % (25837)------------------------------
% 0.63/0.84  % (25837)------------------------------
% 0.63/0.84  % (25844)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.63/0.85  % (25843)First to succeed.
% 0.63/0.85  % (25839)Also succeeded, but the first one will report.
% 0.63/0.85  % (25843)Refutation found. Thanks to Tanya!
% 0.63/0.85  % SZS status Unsatisfiable for Vampire---4
% 0.63/0.85  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.85  % (25843)------------------------------
% 0.63/0.85  % (25843)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.85  % (25843)Termination reason: Refutation
% 0.63/0.85  
% 0.63/0.85  % (25843)Memory used [KB]: 1101
% 0.63/0.85  % (25843)Time elapsed: 0.009 s
% 0.63/0.85  % (25843)Instructions burned: 16 (million)
% 0.63/0.85  % (25843)------------------------------
% 0.63/0.85  % (25843)------------------------------
% 0.63/0.85  % (25826)Success in time 0.495 s
% 0.63/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------