TSTP Solution File: SYN058+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN058+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/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 11:55:49 EDT 2024

% Result   : Theorem 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   31 (   7 unt;   0 def)
%            Number of atoms       :   79 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   74 (  26   ~;  15   |;  20   &)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   36 (  22   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f34,plain,
    $false,
    inference(resolution,[],[f33,f25]) ).

fof(f25,plain,
    big_p(sK2),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ( ~ big_g(sK2)
    & big_f(sK2)
    & big_p(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f13,f19]) ).

fof(f19,plain,
    ( ? [X0] :
        ( ~ big_g(X0)
        & big_f(X0)
        & big_p(X0) )
   => ( ~ big_g(sK2)
      & big_f(sK2)
      & big_p(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f13,plain,
    ? [X0] :
      ( ~ big_g(X0)
      & big_f(X0)
      & big_p(X0) ),
    inference(flattening,[],[f12]) ).

fof(f12,plain,
    ? [X0] :
      ( ~ big_g(X0)
      & big_f(X0)
      & big_p(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,negated_conjecture,
    ~ ! [X0] :
        ( ( big_f(X0)
          & big_p(X0) )
       => big_g(X0) ),
    inference(negated_conjecture,[],[f4]) ).

fof(f4,conjecture,
    ! [X0] :
      ( ( big_f(X0)
        & big_p(X0) )
     => big_g(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.MALTlYBDNV/Vampire---4.8_1307',pel28) ).

fof(f33,plain,
    ! [X0] : ~ big_p(X0),
    inference(resolution,[],[f32,f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( big_q(X1)
      | ~ big_p(X0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X0] :
      ( ! [X1] : big_q(X1)
      | ~ big_p(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( big_p(X0)
     => ! [X1] : big_q(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.MALTlYBDNV/Vampire---4.8_1307',pel28_1) ).

fof(f32,plain,
    ~ big_q(sK1),
    inference(resolution,[],[f31,f23]) ).

fof(f23,plain,
    ( big_s(sK0)
    | ~ big_q(sK1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ( ( big_s(sK0)
      & big_q(sK0) )
    | ~ big_q(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f14,f16,f15]) ).

fof(f15,plain,
    ( ? [X0] :
        ( big_s(X0)
        & big_q(X0) )
   => ( big_s(sK0)
      & big_q(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ( ? [X1] : ~ big_q(X1)
   => ~ big_q(sK1) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ( ? [X0] :
        ( big_s(X0)
        & big_q(X0) )
    | ? [X1] : ~ big_q(X1) ),
    inference(rectify,[],[f10]) ).

fof(f10,plain,
    ( ? [X1] :
        ( big_s(X1)
        & big_q(X1) )
    | ? [X0] : ~ big_q(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,plain,
    ( ! [X0] : big_q(X0)
   => ? [X1] :
        ( big_s(X1)
        & big_q(X1) ) ),
    inference(pure_predicate_removal,[],[f6]) ).

fof(f6,plain,
    ( ! [X0] :
        ( big_r(X0)
        | big_q(X0) )
   => ? [X1] :
        ( big_s(X1)
        & big_q(X1) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ( ! [X0] :
        ( big_r(X0)
        | big_q(X0) )
   => ? [X2] :
        ( big_s(X2)
        & big_q(X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.MALTlYBDNV/Vampire---4.8_1307',pel28_2) ).

fof(f31,plain,
    ! [X0] : ~ big_s(X0),
    inference(subsumption_resolution,[],[f30,f26]) ).

fof(f26,plain,
    big_f(sK2),
    inference(cnf_transformation,[],[f20]) ).

fof(f30,plain,
    ! [X0] :
      ( ~ big_f(sK2)
      | ~ big_s(X0) ),
    inference(resolution,[],[f27,f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( big_g(X0)
      | ~ big_f(X0)
      | ~ big_s(X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ( ! [X0] :
        ( big_g(X0)
        | ~ big_f(X0) )
    | ! [X1] : ~ big_s(X1) ),
    inference(rectify,[],[f11]) ).

fof(f11,plain,
    ( ! [X1] :
        ( big_g(X1)
        | ~ big_f(X1) )
    | ! [X0] : ~ big_s(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ? [X0] : big_s(X0)
   => ! [X1] :
        ( big_f(X1)
       => big_g(X1) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ( ? [X0] : big_s(X0)
   => ! [X2] :
        ( big_f(X2)
       => big_g(X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.MALTlYBDNV/Vampire---4.8_1307',pel28_3) ).

fof(f27,plain,
    ~ big_g(sK2),
    inference(cnf_transformation,[],[f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN058+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/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 17:44:08 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.MALTlYBDNV/Vampire---4.8_1307
% 0.60/0.76  % (1694)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)
% 0.60/0.76  % (1694)Refutation not found, incomplete strategy% (1694)------------------------------
% 0.60/0.76  % (1694)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (1694)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (1694)Memory used [KB]: 943
% 0.60/0.76  % (1694)Time elapsed: 0.001 s
% 0.60/0.76  % (1694)Instructions burned: 2 (million)
% 0.60/0.76  % (1694)------------------------------
% 0.60/0.76  % (1694)------------------------------
% 0.60/0.76  % (1687)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)
% 0.60/0.76  % (1689)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76  % (1688)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)
% 0.60/0.76  % (1692)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)
% 0.60/0.76  % (1690)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)
% 0.60/0.76  % (1693)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)
% 0.60/0.76  % (1695)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)
% 0.60/0.76  % (1687)Refutation not found, incomplete strategy% (1687)------------------------------
% 0.60/0.76  % (1687)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (1687)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (1687)Memory used [KB]: 943
% 0.60/0.76  % (1687)Time elapsed: 0.002 s
% 0.60/0.76  % (1687)Instructions burned: 2 (million)
% 0.60/0.76  % (1690)Refutation not found, incomplete strategy% (1690)------------------------------
% 0.60/0.76  % (1690)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (1693)Refutation not found, incomplete strategy% (1693)------------------------------
% 0.60/0.76  % (1693)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (1690)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (1690)Memory used [KB]: 943
% 0.60/0.76  % (1690)Time elapsed: 0.002 s
% 0.60/0.76  % (1690)Instructions burned: 2 (million)
% 0.60/0.76  % (1693)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  % (1695)Refutation not found, incomplete strategy% (1695)------------------------------
% 0.60/0.76  % (1695)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  
% 0.60/0.76  % (1693)Memory used [KB]: 943
% 0.60/0.76  % (1693)Time elapsed: 0.002 s
% 0.60/0.76  % (1693)Instructions burned: 2 (million)
% 0.60/0.76  % (1695)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (1695)Memory used [KB]: 943
% 0.60/0.76  % (1695)Time elapsed: 0.002 s
% 0.60/0.76  % (1695)Instructions burned: 2 (million)
% 0.60/0.76  % (1687)------------------------------
% 0.60/0.76  % (1687)------------------------------
% 0.60/0.77  % (1690)------------------------------
% 0.60/0.77  % (1690)------------------------------
% 0.60/0.77  % (1693)------------------------------
% 0.60/0.77  % (1693)------------------------------
% 0.60/0.77  % (1695)------------------------------
% 0.60/0.77  % (1695)------------------------------
% 0.60/0.77  % (1692)First to succeed.
% 0.60/0.77  % (1688)Also succeeded, but the first one will report.
% 0.60/0.77  % (1689)Also succeeded, but the first one will report.
% 0.60/0.77  % (1692)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1562"
% 0.60/0.77  % (1697)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)
% 0.60/0.77  % (1692)Refutation found. Thanks to Tanya!
% 0.60/0.77  % SZS status Theorem for Vampire---4
% 0.60/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77  % (1692)------------------------------
% 0.60/0.77  % (1692)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (1692)Termination reason: Refutation
% 0.60/0.77  
% 0.60/0.77  % (1692)Memory used [KB]: 960
% 0.60/0.77  % (1692)Time elapsed: 0.003 s
% 0.60/0.77  % (1692)Instructions burned: 2 (million)
% 0.60/0.77  % (1562)Success in time 0.392 s
% 0.60/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------