TSTP Solution File: FLD070-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : FLD070-3 : 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 : n026.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 05:07:09 EDT 2024

% Result   : Unsatisfiable 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (   7 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   58 (  33   ~;  25   |;   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    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f129,plain,
    $false,
    inference(subsumption_resolution,[],[f128,f28]) ).

fof(f28,axiom,
    defined(b),
    file('/export/starexec/sandbox/tmp/tmp.sgyTi7LY6K/Vampire---4.8_16437',b_is_defined) ).

fof(f128,plain,
    ~ defined(b),
    inference(subsumption_resolution,[],[f127,f30]) ).

fof(f30,axiom,
    less_or_equal(additive_identity,b),
    file('/export/starexec/sandbox/tmp/tmp.sgyTi7LY6K/Vampire---4.8_16437',less_or_equal_4) ).

fof(f127,plain,
    ( ~ less_or_equal(additive_identity,b)
    | ~ defined(b) ),
    inference(subsumption_resolution,[],[f124,f29]) ).

fof(f29,axiom,
    less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox/tmp/tmp.sgyTi7LY6K/Vampire---4.8_16437',less_or_equal_3) ).

fof(f124,plain,
    ( ~ less_or_equal(additive_identity,a)
    | ~ less_or_equal(additive_identity,b)
    | ~ defined(b) ),
    inference(resolution,[],[f118,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( sum(additive_identity,X0,X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.sgyTi7LY6K/Vampire---4.8_16437',existence_of_identity_addition) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ sum(X0,b,X1)
      | ~ less_or_equal(X0,a)
      | ~ less_or_equal(additive_identity,X1) ),
    inference(subsumption_resolution,[],[f117,f28]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ~ less_or_equal(X0,a)
      | ~ sum(X0,b,X1)
      | ~ defined(b)
      | ~ less_or_equal(additive_identity,X1) ),
    inference(subsumption_resolution,[],[f112,f27]) ).

fof(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox/tmp/tmp.sgyTi7LY6K/Vampire---4.8_16437',a_is_defined) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ~ less_or_equal(X0,a)
      | ~ sum(X0,b,X1)
      | ~ defined(a)
      | ~ defined(b)
      | ~ less_or_equal(additive_identity,X1) ),
    inference(resolution,[],[f70,f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,add(a,b))
      | ~ less_or_equal(additive_identity,X0) ),
    inference(resolution,[],[f22,f31]) ).

fof(f31,axiom,
    ~ less_or_equal(additive_identity,add(a,b)),
    file('/export/starexec/sandbox/tmp/tmp.sgyTi7LY6K/Vampire---4.8_16437',not_less_or_equal_5) ).

fof(f22,axiom,
    ! [X3,X0,X5] :
      ( less_or_equal(X0,X5)
      | ~ less_or_equal(X0,X3)
      | ~ less_or_equal(X3,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.sgyTi7LY6K/Vampire---4.8_16437',transitivity_of_order_relation) ).

fof(f70,plain,
    ! [X2,X3,X0,X1] :
      ( less_or_equal(X2,add(X3,X1))
      | ~ less_or_equal(X0,X3)
      | ~ sum(X0,X1,X2)
      | ~ defined(X3)
      | ~ defined(X1) ),
    inference(resolution,[],[f24,f19]) ).

fof(f19,axiom,
    ! [X3,X0] :
      ( sum(X0,X3,add(X0,X3))
      | ~ defined(X0)
      | ~ defined(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.sgyTi7LY6K/Vampire---4.8_16437',totality_of_addition) ).

fof(f24,axiom,
    ! [X3,X0,X1,X4,X5] :
      ( ~ sum(X3,X5,X1)
      | ~ sum(X0,X5,X4)
      | ~ less_or_equal(X0,X3)
      | less_or_equal(X4,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.sgyTi7LY6K/Vampire---4.8_16437',compatibility_of_order_relation_and_addition) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : FLD070-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.15  % 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
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 19:47:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.14/0.36  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.sgyTi7LY6K/Vampire---4.8_16437
% 0.55/0.76  % (16554)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)
% 0.61/0.76  % (16547)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)
% 0.61/0.76  % (16549)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76  % (16551)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)
% 0.61/0.76  % (16552)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)
% 0.61/0.76  % (16550)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)
% 0.61/0.76  % (16553)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)
% 0.61/0.76  % (16548)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)
% 0.61/0.77  % (16547)First to succeed.
% 0.61/0.77  % (16547)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16545"
% 0.61/0.77  % (16547)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (16547)------------------------------
% 0.61/0.77  % (16547)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (16547)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (16547)Memory used [KB]: 1019
% 0.61/0.77  % (16547)Time elapsed: 0.005 s
% 0.61/0.77  % (16547)Instructions burned: 5 (million)
% 0.61/0.77  % (16545)Success in time 0.394 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------