TSTP Solution File: SWW311+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW311+1 : TPTP v8.1.2. Released v5.2.0.
% 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 : n019.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 04:18:04 EDT 2024

% Result   : Theorem 0.83s 1.04s
% Output   : Refutation 0.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (   6 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   44 (  20   ~;  10   |;   4   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   39 (  37   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5685,plain,
    $false,
    inference(subsumption_resolution,[],[f5681,f5423]) ).

fof(f5423,plain,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),sK1)),
    inference(cnf_transformation,[],[f5381]) ).

fof(f5381,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK1,v_ts)
    & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),sK1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f5315,f5380]) ).

fof(f5380,plain,
    ( ? [X0] :
        ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts)
        & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X0)) )
   => ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK1,v_ts)
      & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),sK1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f5315,plain,
    ? [X0] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts)
      & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X0)) ),
    inference(ennf_transformation,[],[f5225]) ).

fof(f5225,plain,
    ~ ! [X0] :
        ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X0))
       => c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts) ),
    inference(rectify,[],[f5224]) ).

fof(f5224,negated_conjecture,
    ~ ! [X281] :
        ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X281))
       => c_Hoare__Mirabelle_Ohoare__derivs(t_a,X281,v_ts) ),
    inference(negated_conjecture,[],[f5223]) ).

fof(f5223,conjecture,
    ! [X281] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),X281))
     => c_Hoare__Mirabelle_Ohoare__derivs(t_a,X281,v_ts) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZOSMmEuqGh/Vampire---4.8_16968',conj_1) ).

fof(f5681,plain,
    ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G_H),sK1)),
    inference(resolution,[],[f5619,f5422]) ).

fof(f5422,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    inference(cnf_transformation,[],[f5222]) ).

fof(f5222,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    file('/export/starexec/sandbox2/tmp/tmp.ZOSMmEuqGh/Vampire---4.8_16968',conj_0) ).

fof(f5619,plain,
    ! [X0] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts)
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),X0),sK1)) ),
    inference(resolution,[],[f5618,f5430]) ).

fof(f5430,plain,
    ! [X2,X0,X1] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1)
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0)) ),
    inference(cnf_transformation,[],[f5322]) ).

fof(f5322,plain,
    ! [X0,X1,X2] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1)
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0)) ),
    inference(ennf_transformation,[],[f5232]) ).

fof(f5232,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0))
     => c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X3,X4,X5] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)),X4),X3))
     => c_Hoare__Mirabelle_Ohoare__derivs(X5,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZOSMmEuqGh/Vampire---4.8_16968',fact_asm) ).

fof(f5618,plain,
    ! [X0] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK1,X0)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts) ),
    inference(resolution,[],[f5424,f5425]) ).

fof(f5425,plain,
    ! [X2,X3,X0,X1] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
    inference(cnf_transformation,[],[f5317]) ).

fof(f5317,plain,
    ! [X0,X1,X2,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
    inference(flattening,[],[f5316]) ).

fof(f5316,plain,
    ! [X0,X1,X2,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
    inference(ennf_transformation,[],[f5226]) ).

fof(f5226,plain,
    ! [X0,X1,X2,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1)
     => ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
       => c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X3,X4,X7,X5] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X7,X4)
     => ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X3,X7)
       => c_Hoare__Mirabelle_Ohoare__derivs(X5,X3,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ZOSMmEuqGh/Vampire---4.8_16968',fact_cut) ).

fof(f5424,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,sK1,v_ts),
    inference(cnf_transformation,[],[f5381]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : SWW311+1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.15  % 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
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 17:58:29 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.ZOSMmEuqGh/Vampire---4.8_16968
% 0.83/1.02  % (17252)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 (2993ds/56Mi)
% 0.83/1.02  % (17245)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 (2993ds/34Mi)
% 0.83/1.02  % (17246)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 (2993ds/51Mi)
% 0.83/1.02  % (17247)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2993ds/78Mi)
% 0.83/1.02  % (17248)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2993ds/33Mi)
% 0.83/1.02  % (17249)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 (2993ds/34Mi)
% 0.83/1.02  % (17250)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2993ds/45Mi)
% 0.83/1.02  % (17251)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 (2993ds/83Mi)
% 0.83/1.04  % (17252)First to succeed.
% 0.83/1.04  % (17245)Instruction limit reached!
% 0.83/1.04  % (17245)------------------------------
% 0.83/1.04  % (17245)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/1.04  % (17245)Termination reason: Unknown
% 0.83/1.04  % (17245)Termination phase: SInE selection
% 0.83/1.04  
% 0.83/1.04  % (17245)Memory used [KB]: 6141
% 0.83/1.04  % (17245)Time elapsed: 0.020 s
% 0.83/1.04  % (17245)Instructions burned: 34 (million)
% 0.83/1.04  % (17245)------------------------------
% 0.83/1.04  % (17245)------------------------------
% 0.83/1.04  % (17252)Refutation found. Thanks to Tanya!
% 0.83/1.04  % SZS status Theorem for Vampire---4
% 0.83/1.04  % SZS output start Proof for Vampire---4
% See solution above
% 0.83/1.04  % (17252)------------------------------
% 0.83/1.04  % (17252)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.83/1.04  % (17252)Termination reason: Refutation
% 0.83/1.04  
% 0.83/1.04  % (17252)Memory used [KB]: 6383
% 0.83/1.04  % (17252)Time elapsed: 0.019 s
% 0.83/1.04  % (17252)Instructions burned: 56 (million)
% 0.83/1.04  % (17252)------------------------------
% 0.83/1.04  % (17252)------------------------------
% 0.83/1.04  % (17130)Success in time 0.664 s
% 0.83/1.04  % Vampire---4.8 exiting
%------------------------------------------------------------------------------