TSTP Solution File: NUM850+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM850+1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n010.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 03:34:52 EDT 2024

% Result   : Theorem 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   8 unt;   0 def)
%            Number of atoms       :   30 (  17 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   27 (  13   ~;   8   |;   3   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   27 (  20   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f123,plain,
    $false,
    inference(trivial_inequality_removal,[],[f120]) ).

fof(f120,plain,
    vd470 != vd470,
    inference(resolution,[],[f116,f89]) ).

fof(f89,plain,
    greater(vd470,vd471),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    greater(vd470,vd471),
    file('/export/starexec/sandbox2/tmp/tmp.6JtctK3YYo/Vampire---4.8_28888','holds(antec(302), 472, 0)') ).

fof(f116,plain,
    ! [X0] :
      ( ~ greater(X0,vd471)
      | vd470 != X0 ),
    inference(superposition,[],[f88,f100]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( vplus(X0,sK2(X0,X1)) = X1
      | ~ greater(X1,X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( vplus(X0,sK2(X0,X1)) = X1
        | ~ greater(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f85,f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ? [X3] : vplus(X0,X3) = X1
     => vplus(X0,sK2(X0,X1)) = X1 ),
    introduced(choice_axiom,[]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( ? [X3] : vplus(X0,X3) = X1
        | ~ greater(X1,X0) ) ),
    inference(rectify,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( ? [X2] : vplus(X0,X2) = X1
        | ~ greater(X1,X0) ) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
    <=> ? [X2] : vplus(X0,X2) = X1 ),
    inference(rectify,[],[f37]) ).

fof(f37,axiom,
    ! [X65,X66] :
      ( greater(X66,X65)
    <=> ? [X67] : vplus(X65,X67) = X66 ),
    file('/export/starexec/sandbox2/tmp/tmp.6JtctK3YYo/Vampire---4.8_28888','def(cond(conseq(axiom(3)), 11), 1)') ).

fof(f88,plain,
    ! [X0] : vd470 != vplus(vd471,X0),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0] : vd470 != vplus(vd471,X0),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ? [X0] : vd470 = vplus(vd471,X0),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ? [X0] : vd470 = vplus(vd471,X0),
    file('/export/starexec/sandbox2/tmp/tmp.6JtctK3YYo/Vampire---4.8_28888','qe(conseq_conjunct1(conseq(302)))') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NUM850+1 : TPTP v8.1.2. Released v4.1.0.
% 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
% 0.16/0.35  % Computer : n010.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit   : 300
% 0.16/0.35  % WCLimit    : 300
% 0.16/0.35  % DateTime   : Tue Apr 30 16:36:49 EDT 2024
% 0.16/0.35  % CPUTime    : 
% 0.16/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.35  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.6JtctK3YYo/Vampire---4.8_28888
% 0.57/0.74  % (29065)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)
% 0.57/0.74  % (29060)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)
% 0.57/0.74  % (29065)First to succeed.
% 0.57/0.74  % (29062)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (29064)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)
% 0.57/0.75  % (29066)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)
% 0.57/0.75  % (29061)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)
% 0.57/0.75  % (29067)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)
% 0.57/0.75  % (29065)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Theorem for Vampire---4
% 0.57/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (29065)------------------------------
% 0.57/0.75  % (29065)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (29065)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (29065)Memory used [KB]: 1046
% 0.57/0.75  % (29065)Time elapsed: 0.002 s
% 0.57/0.75  % (29065)Instructions burned: 4 (million)
% 0.57/0.75  % (29065)------------------------------
% 0.57/0.75  % (29065)------------------------------
% 0.57/0.75  % (29049)Success in time 0.388 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------