TSTP Solution File: LCL893+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL893+1 : TPTP v8.1.2. Released v5.5.0.
% 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 : Sun May  5 07:43:10 EDT 2024

% Result   : Theorem 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   32 (  14 unt;   0 def)
%            Number of atoms       :   59 (  27 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   47 (  20   ~;  12   |;   7   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   36 (  34   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f80,plain,
    $false,
    inference(subsumption_resolution,[],[f79,f38]) ).

fof(f38,plain,
    ! [X0] : '>='(X0,'0'),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] : '>='(X0,'0'),
    file('/export/starexec/sandbox2/tmp/tmp.pvZdBsPyek/Vampire---4.8_7051',sos_09) ).

fof(f79,plain,
    ~ '>='(sK0,'0'),
    inference(subsumption_resolution,[],[f78,f36]) ).

fof(f36,plain,
    '0' != sK0,
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ( '0' != sK0
    & sK0 = h(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f24,f32]) ).

fof(f32,plain,
    ( ? [X0] :
        ( '0' != X0
        & h(X0) = X0 )
   => ( '0' != sK0
      & sK0 = h(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f24,plain,
    ? [X0] :
      ( '0' != X0
      & h(X0) = X0 ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ~ ! [X0] :
        ( h(X0) = X0
       => '0' = X0 ),
    inference(rectify,[],[f16]) ).

fof(f16,negated_conjecture,
    ~ ! [X20] :
        ( h(X20) = X20
       => '0' = X20 ),
    inference(negated_conjecture,[],[f15]) ).

fof(f15,conjecture,
    ! [X20] :
      ( h(X20) = X20
     => '0' = X20 ),
    file('/export/starexec/sandbox2/tmp/tmp.pvZdBsPyek/Vampire---4.8_7051',goals_15) ).

fof(f78,plain,
    ( '0' = sK0
    | ~ '>='(sK0,'0') ),
    inference(resolution,[],[f77,f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ '>='(X1,X0)
      | X0 = X1
      | ~ '>='(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ '>='(X1,X0)
      | ~ '>='(X0,X1) ),
    inference(flattening,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ '>='(X1,X0)
      | ~ '>='(X0,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( '>='(X1,X0)
        & '>='(X0,X1) )
     => X0 = X1 ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X6,X7] :
      ( ( '>='(X7,X6)
        & '>='(X6,X7) )
     => X6 = X7 ),
    file('/export/starexec/sandbox2/tmp/tmp.pvZdBsPyek/Vampire---4.8_7051',sos_07) ).

fof(f77,plain,
    '>='('0',sK0),
    inference(subsumption_resolution,[],[f71,f42]) ).

fof(f42,plain,
    ! [X0] : '>='(X0,X0),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] : '>='(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.pvZdBsPyek/Vampire---4.8_7051',sos_05) ).

fof(f71,plain,
    ( ~ '>='(sK0,sK0)
    | '>='('0',sK0) ),
    inference(superposition,[],[f56,f39]) ).

fof(f39,plain,
    ! [X0] : '+'(X0,'0') = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : '+'(X0,'0') = X0,
    file('/export/starexec/sandbox2/tmp/tmp.pvZdBsPyek/Vampire---4.8_7051',sos_03) ).

fof(f56,plain,
    ! [X0] :
      ( ~ '>='('+'(sK0,X0),sK0)
      | '>='(X0,sK0) ),
    inference(superposition,[],[f49,f51]) ).

fof(f51,plain,
    sK0 = '==>'(sK0,sK0),
    inference(superposition,[],[f40,f35]) ).

fof(f35,plain,
    sK0 = h(sK0),
    inference(cnf_transformation,[],[f33]) ).

fof(f40,plain,
    ! [X0] : h(X0) = '==>'(h(X0),X0),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] : h(X0) = '==>'(h(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.pvZdBsPyek/Vampire---4.8_7051',sos_14) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( '>='(X1,'==>'(X0,X2))
      | ~ '>='('+'(X0,X1),X2) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( ( '>='('+'(X0,X1),X2)
        | ~ '>='(X1,'==>'(X0,X2)) )
      & ( '>='(X1,'==>'(X0,X2))
        | ~ '>='('+'(X0,X1),X2) ) ),
    inference(nnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( '>='('+'(X0,X1),X2)
    <=> '>='(X1,'==>'(X0,X2)) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X8,X9,X10] :
      ( '>='('+'(X8,X9),X10)
    <=> '>='(X9,'==>'(X8,X10)) ),
    file('/export/starexec/sandbox2/tmp/tmp.pvZdBsPyek/Vampire---4.8_7051',sos_08) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : LCL893+1 : TPTP v8.1.2. Released v5.5.0.
% 0.08/0.15  % 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   : Fri May  3 13:44:06 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  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.pvZdBsPyek/Vampire---4.8_7051
% 0.58/0.74  % (7254)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)
% 0.58/0.74  % (7261)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)
% 0.58/0.74  % (7254)Refutation not found, incomplete strategy% (7254)------------------------------
% 0.58/0.74  % (7254)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (7254)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (7254)Memory used [KB]: 969
% 0.58/0.74  % (7254)Time elapsed: 0.002 s
% 0.58/0.74  % (7254)Instructions burned: 2 (million)
% 0.58/0.74  % (7254)------------------------------
% 0.58/0.74  % (7254)------------------------------
% 0.58/0.74  % (7256)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74  % (7255)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)
% 0.58/0.74  % (7257)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)
% 0.58/0.74  % (7258)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)
% 0.58/0.74  % (7259)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)
% 0.58/0.74  % (7260)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)
% 0.58/0.74  % (7257)Refutation not found, incomplete strategy% (7257)------------------------------
% 0.58/0.74  % (7257)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (7257)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (7257)Memory used [KB]: 955
% 0.58/0.74  % (7257)Time elapsed: 0.003 s
% 0.58/0.74  % (7257)Instructions burned: 2 (million)
% 0.58/0.74  % (7257)------------------------------
% 0.58/0.74  % (7257)------------------------------
% 0.58/0.74  % (7262)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)
% 0.58/0.74  % (7259)First to succeed.
% 0.58/0.74  % (7259)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7225"
% 0.58/0.75  % (7259)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Theorem for Vampire---4
% 0.58/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75  % (7259)------------------------------
% 0.58/0.75  % (7259)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (7259)Termination reason: Refutation
% 0.58/0.75  
% 0.58/0.75  % (7259)Memory used [KB]: 1046
% 0.58/0.75  % (7259)Time elapsed: 0.004 s
% 0.58/0.75  % (7259)Instructions burned: 4 (million)
% 0.58/0.75  % (7225)Success in time 0.373 s
% 0.58/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------