TSTP Solution File: FLD023-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : FLD023-1 : 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/sandbox2/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 : Wed May  1 02:19:40 EDT 2024

% Result   : Unsatisfiable 0.62s 0.80s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   24 (   7 unt;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   51 (  29   ~;  21   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f134,plain,
    $false,
    inference(avatar_sat_refutation,[],[f67,f133]) ).

fof(f133,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f132]) ).

fof(f132,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f130,f30]) ).

fof(f30,axiom,
    equalish(a,b),
    file('/export/starexec/sandbox2/tmp/tmp.wIBHCZs5ta/Vampire---4.8_16210',a_equals_b_3) ).

fof(f130,plain,
    ( ~ equalish(a,b)
    | ~ spl0_1 ),
    inference(resolution,[],[f129,f22]) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( equalish(X0,X1)
      | ~ equalish(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.wIBHCZs5ta/Vampire---4.8_16210',symmetry_of_equality) ).

fof(f129,plain,
    ( ~ equalish(b,a)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f126,f28]) ).

fof(f28,axiom,
    defined(a),
    file('/export/starexec/sandbox2/tmp/tmp.wIBHCZs5ta/Vampire---4.8_16210',a_is_defined) ).

fof(f126,plain,
    ( ~ equalish(b,a)
    | ~ defined(a)
    | ~ spl0_1 ),
    inference(resolution,[],[f81,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( equalish(add(X0,additive_inverse(X0)),additive_identity)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.wIBHCZs5ta/Vampire---4.8_16210',existence_of_inverse_addition) ).

fof(f81,plain,
    ( ! [X0] :
        ( ~ equalish(add(X0,additive_inverse(a)),additive_identity)
        | ~ equalish(b,X0) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f76,f44]) ).

fof(f44,plain,
    ( defined(additive_inverse(a))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f43,plain,
    ( spl0_1
  <=> defined(additive_inverse(a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f76,plain,
    ! [X0] :
      ( ~ equalish(add(X0,additive_inverse(a)),additive_identity)
      | ~ defined(additive_inverse(a))
      | ~ equalish(b,X0) ),
    inference(resolution,[],[f35,f24]) ).

fof(f24,axiom,
    ! [X2,X0,X1] :
      ( equalish(add(X0,X2),add(X1,X2))
      | ~ defined(X2)
      | ~ equalish(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.wIBHCZs5ta/Vampire---4.8_16210',compatibility_of_equality_and_addition) ).

fof(f35,plain,
    ! [X0] :
      ( ~ equalish(add(b,additive_inverse(a)),X0)
      | ~ equalish(X0,additive_identity) ),
    inference(resolution,[],[f32,f23]) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( equalish(X0,X2)
      | ~ equalish(X0,X1)
      | ~ equalish(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.wIBHCZs5ta/Vampire---4.8_16210',transitivity_of_equality) ).

fof(f32,plain,
    ~ equalish(add(b,additive_inverse(a)),additive_identity),
    inference(resolution,[],[f31,f22]) ).

fof(f31,axiom,
    ~ equalish(additive_identity,add(b,additive_inverse(a))),
    file('/export/starexec/sandbox2/tmp/tmp.wIBHCZs5ta/Vampire---4.8_16210',additive_identity_not_equal_to_add_4) ).

fof(f67,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f66]) ).

fof(f66,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f65,f28]) ).

fof(f65,plain,
    ( ~ defined(a)
    | spl0_1 ),
    inference(resolution,[],[f45,f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( defined(additive_inverse(X0))
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.wIBHCZs5ta/Vampire---4.8_16210',well_definedness_of_additive_inverse) ).

fof(f45,plain,
    ( ~ defined(additive_inverse(a))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f43]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : FLD023-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.15  % 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
% 0.15/0.36  % Computer : n026.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 18:21:34 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.36  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/tmp/tmp.wIBHCZs5ta/Vampire---4.8_16210
% 0.62/0.79  % (16410)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.79  % (16413)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)
% 0.62/0.79  % (16408)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)
% 0.62/0.79  % (16411)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)
% 0.62/0.79  % (16409)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)
% 0.62/0.79  % (16412)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)
% 0.62/0.79  % (16415)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)
% 0.62/0.79  % (16414)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)
% 0.62/0.80  % (16413)First to succeed.
% 0.62/0.80  % (16408)Also succeeded, but the first one will report.
% 0.62/0.80  % (16415)Also succeeded, but the first one will report.
% 0.62/0.80  % (16413)Refutation found. Thanks to Tanya!
% 0.62/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.80  % (16413)------------------------------
% 0.62/0.80  % (16413)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (16413)Termination reason: Refutation
% 0.62/0.80  
% 0.62/0.80  % (16413)Memory used [KB]: 1009
% 0.62/0.80  % (16413)Time elapsed: 0.005 s
% 0.62/0.80  % (16413)Instructions burned: 5 (million)
% 0.62/0.80  % (16413)------------------------------
% 0.62/0.80  % (16413)------------------------------
% 0.62/0.80  % (16377)Success in time 0.43 s
% 0.62/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------