TSTP Solution File: NUM004-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM004-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n008.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 03:26:23 EDT 2024

% Result   : Unsatisfiable 0.60s 0.75s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   7   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f73,plain,
    $false,
    inference(unit_resulting_resolution,[],[f3,f1,f42,f11]) ).

fof(f11,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ equalish(X2,subtract(X0,X3))
      | equalish(X2,subtract(X1,X3))
      | ~ equalish(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.xNIx3ZxnLW/Vampire---4.8_14642',subtract_substitution1) ).

fof(f42,plain,
    ~ equalish(subtract(add(a,b),c),subtract(add(b,a),c)),
    inference(unit_resulting_resolution,[],[f8,f22,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( ~ equalish(X0,X1)
      | ~ equalish(X1,X2)
      | equalish(X0,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xNIx3ZxnLW/Vampire---4.8_14642',transitivity) ).

fof(f22,plain,
    ~ equalish(subtract(add(a,b),c),add(subtract(b,c),a)),
    inference(unit_resulting_resolution,[],[f3,f13,f2]) ).

fof(f13,axiom,
    ~ equalish(subtract(add(a,b),c),add(a,subtract(b,c))),
    file('/export/starexec/sandbox/tmp/tmp.xNIx3ZxnLW/Vampire---4.8_14642',prove_equation) ).

fof(f8,axiom,
    ! [X2,X0,X1] : equalish(subtract(add(X0,X1),X2),add(subtract(X0,X2),X1)),
    file('/export/starexec/sandbox/tmp/tmp.xNIx3ZxnLW/Vampire---4.8_14642',commutativity2) ).

fof(f1,axiom,
    ! [X0] : equalish(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.xNIx3ZxnLW/Vampire---4.8_14642',reflexivity) ).

fof(f3,axiom,
    ! [X0,X1] : equalish(add(X0,X1),add(X1,X0)),
    file('/export/starexec/sandbox/tmp/tmp.xNIx3ZxnLW/Vampire---4.8_14642',commutativity_of_addition) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n008.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 16:52:12 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.15/0.36  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.xNIx3ZxnLW/Vampire---4.8_14642
% 0.60/0.75  % (14910)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)
% 0.60/0.75  % (14904)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)
% 0.60/0.75  % (14906)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.75  % (14908)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)
% 0.60/0.75  % (14907)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)
% 0.60/0.75  % (14905)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)
% 0.60/0.75  % (14909)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)
% 0.60/0.75  % (14910)First to succeed.
% 0.60/0.75  % (14910)Refutation found. Thanks to Tanya!
% 0.60/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.75  % (14910)------------------------------
% 0.60/0.75  % (14910)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75  % (14910)Termination reason: Refutation
% 0.60/0.75  
% 0.60/0.75  % (14910)Memory used [KB]: 1053
% 0.60/0.75  % (14910)Time elapsed: 0.003 s
% 0.60/0.75  % (14910)Instructions burned: 4 (million)
% 0.60/0.75  % (14910)------------------------------
% 0.60/0.75  % (14910)------------------------------
% 0.60/0.75  % (14900)Success in time 0.385 s
% 0.60/0.75  % Vampire---4.8 exiting
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