TSTP Solution File: SWW337+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW337+1 : TPTP v8.2.0. 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 : Tue May 21 06:58:59 EDT 2024

% Result   : Theorem 0.92s 1.10s
% Output   : Refutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   7 unt;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   66 (  26   ~;  13   |;  12   &)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   44 (  36   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5826,plain,
    $false,
    inference(subsumption_resolution,[],[f5801,f5477]) ).

fof(f5477,plain,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
    inference(cnf_transformation,[],[f5225]) ).

fof(f5225,axiom,
    hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f5801,plain,
    ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
    inference(resolution,[],[f5745,f5479]) ).

fof(f5479,plain,
    hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1),v_ts)),
    inference(cnf_transformation,[],[f5425]) ).

fof(f5425,plain,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,sK1)
    & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1),v_ts))
    & ! [X2] :
        ( c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,X2)
        | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5422,f5424,f5423]) ).

fof(f5423,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
            & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
        & ! [X2] :
            ( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
            | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) )
   => ( ? [X1] :
          ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,X1)
          & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
      & ! [X2] :
          ( c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,X2)
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f5424,plain,
    ( ? [X1] :
        ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,X1)
        & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
   => ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,sK1)
      & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1),v_ts)) ) ),
    introduced(choice_axiom,[]) ).

fof(f5422,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
          & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
      & ! [X2] :
          ( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
    inference(rectify,[],[f5346]) ).

fof(f5346,plain,
    ? [X0] :
      ( ? [X2] :
          ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
          & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts)) )
      & ! [X1] :
          ( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ) ),
    inference(ennf_transformation,[],[f5228]) ).

fof(f5228,plain,
    ~ ! [X0] :
        ( ! [X1] :
            ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
           => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
       => ! [X2] :
            ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))
           => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) ) ),
    inference(rectify,[],[f5227]) ).

fof(f5227,negated_conjecture,
    ~ ! [X10] :
        ( ! [X2] :
            ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
           => c_Hoare__Mirabelle_Otriple__valid(t_a,X10,X2) )
       => ! [X2] :
            ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))
           => c_Hoare__Mirabelle_Otriple__valid(t_a,X10,X2) ) ),
    inference(negated_conjecture,[],[f5226]) ).

fof(f5226,conjecture,
    ! [X10] :
      ( ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,X10,X2) )
     => ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,X10,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

fof(f5745,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1),X0))
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),X0),v_G)) ),
    inference(resolution,[],[f5744,f5513]) ).

fof(f5513,plain,
    ! [X2,X3,X0,X1] :
      ( hBOOL(hAPP(hAPP(c_member(X3),X0),X1))
      | ~ hBOOL(hAPP(hAPP(c_member(X3),X0),X2))
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1)) ),
    inference(cnf_transformation,[],[f5380]) ).

fof(f5380,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(hAPP(c_member(X3),X0),X1))
      | ~ hBOOL(hAPP(hAPP(c_member(X3),X0),X2))
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1)) ),
    inference(flattening,[],[f5379]) ).

fof(f5379,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(hAPP(c_member(X3),X0),X1))
      | ~ hBOOL(hAPP(hAPP(c_member(X3),X0),X2))
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1)) ),
    inference(ennf_transformation,[],[f5255]) ).

fof(f5255,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1))
     => ( hBOOL(hAPP(hAPP(c_member(X3),X0),X2))
       => hBOOL(hAPP(hAPP(c_member(X3),X0),X1)) ) ),
    inference(rectify,[],[f639]) ).

fof(f639,axiom,
    ! [X43,X3,X4,X5] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X4),X3))
     => ( hBOOL(hAPP(hAPP(c_member(X5),X43),X4))
       => hBOOL(hAPP(hAPP(c_member(X5),X43),X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_subsetD) ).

fof(f5744,plain,
    ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1),v_G)),
    inference(resolution,[],[f5478,f5480]) ).

fof(f5480,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,sK1),
    inference(cnf_transformation,[],[f5425]) ).

fof(f5478,plain,
    ! [X2] :
      ( c_Hoare__Mirabelle_Otriple__valid(t_a,sK0,X2)
      | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ),
    inference(cnf_transformation,[],[f5425]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWW337+1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.14  % 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
% 0.15/0.35  % Computer : n019.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sat May 18 19:54:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35  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/benchmark/theBenchmark.p
% 0.86/1.08  % (12435)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 theBenchmark for (2992ds/34Mi)
% 0.86/1.08  % (12438)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2992ds/78Mi)
% 0.86/1.08  % (12439)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2992ds/33Mi)
% 0.86/1.08  % (12440)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 theBenchmark for (2992ds/34Mi)
% 0.86/1.08  % (12443)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2992ds/56Mi)
% 0.86/1.08  % (12436)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 theBenchmark for (2992ds/51Mi)
% 0.86/1.08  % (12442)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 theBenchmark for (2992ds/83Mi)
% 0.92/1.09  % (12435)Instruction limit reached!
% 0.92/1.09  % (12435)------------------------------
% 0.92/1.09  % (12435)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/1.09  % (12435)Termination reason: Unknown
% 0.92/1.09  % (12435)Termination phase: SInE selection
% 0.92/1.09  
% 0.92/1.09  % (12435)Memory used [KB]: 6142
% 0.92/1.09  % (12435)Time elapsed: 0.012 s
% 0.92/1.09  % (12435)Instructions burned: 36 (million)
% 0.92/1.09  % (12435)------------------------------
% 0.92/1.09  % (12435)------------------------------
% 0.92/1.09  % (12439)Instruction limit reached!
% 0.92/1.09  % (12439)------------------------------
% 0.92/1.09  % (12439)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/1.09  % (12439)Termination reason: Unknown
% 0.92/1.09  % (12439)Termination phase: SInE selection
% 0.92/1.09  
% 0.92/1.09  % (12439)Memory used [KB]: 6142
% 0.92/1.09  % (12439)Time elapsed: 0.012 s
% 0.92/1.09  % (12439)Instructions burned: 34 (million)
% 0.92/1.09  % (12439)------------------------------
% 0.92/1.09  % (12439)------------------------------
% 0.92/1.09  % (12441)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2992ds/45Mi)
% 0.92/1.09  % (12440)Instruction limit reached!
% 0.92/1.09  % (12440)------------------------------
% 0.92/1.09  % (12440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/1.09  % (12440)Termination reason: Unknown
% 0.92/1.09  % (12440)Termination phase: SInE selection
% 0.92/1.09  
% 0.92/1.09  % (12440)Memory used [KB]: 6142
% 0.92/1.09  % (12440)Time elapsed: 0.013 s
% 0.92/1.09  % (12440)Instructions burned: 34 (million)
% 0.92/1.09  % (12440)------------------------------
% 0.92/1.09  % (12440)------------------------------
% 0.92/1.09  % (12449)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 theBenchmark for (2992ds/55Mi)
% 0.92/1.09  % (12450)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2992ds/50Mi)
% 0.92/1.09  % (12452)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2992ds/208Mi)
% 0.92/1.10  % (12443)First to succeed.
% 0.92/1.10  % (12443)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12414"
% 0.92/1.10  % (12443)Refutation found. Thanks to Tanya!
% 0.92/1.10  % SZS status Theorem for theBenchmark
% 0.92/1.10  % SZS output start Proof for theBenchmark
% See solution above
% 0.92/1.10  % (12443)------------------------------
% 0.92/1.10  % (12443)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.92/1.10  % (12443)Termination reason: Refutation
% 0.92/1.10  
% 0.92/1.10  % (12443)Memory used [KB]: 6393
% 0.92/1.10  % (12443)Time elapsed: 0.019 s
% 0.92/1.10  % (12443)Instructions burned: 55 (million)
% 0.92/1.10  % (12414)Success in time 0.732 s
% 0.92/1.10  % Vampire---4.8 exiting
%------------------------------------------------------------------------------