TSTP Solution File: SWW469+5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW469+5 : TPTP v8.2.0. Released v5.3.0.
% 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 : n018.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 06:59:52 EDT 2024

% Result   : Theorem 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (  11 unt;   0 def)
%            Number of atoms       :   35 (  21 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   35 (  20   ~;   8   |;   3   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   31 (  19   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f106,plain,
    $false,
    inference(subsumption_resolution,[],[f105,f80]) ).

fof(f80,plain,
    hBOOL(hoare_1883395792gleton),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    hBOOL(hoare_1883395792gleton),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f105,plain,
    ~ hBOOL(hoare_1883395792gleton),
    inference(subsumption_resolution,[],[f99,f94]) ).

fof(f94,plain,
    ! [X0,X1] : ti(state,X1) = ti(state,X0),
    inference(superposition,[],[f81,f81]) ).

fof(f81,plain,
    ! [X1] : ti(state,X1) = ti(state,sK0),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X1] : ti(state,X1) = ti(state,sK0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f69,f71]) ).

fof(f71,plain,
    ( ? [X0] :
      ! [X1] : ti(state,X1) = ti(state,X0)
   => ! [X1] : ti(state,X1) = ti(state,sK0) ),
    introduced(choice_axiom,[]) ).

fof(f69,plain,
    ? [X0] :
    ! [X1] : ti(state,X1) = ti(state,X0),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,plain,
    ~ ! [X0] :
        ~ ! [X1] : ti(state,X1) = ti(state,X0),
    inference(rectify,[],[f64]) ).

fof(f64,negated_conjecture,
    ~ ! [X5] :
        ~ ! [X4] : ti(state,X4) = ti(state,X5),
    inference(negated_conjecture,[],[f63]) ).

fof(f63,conjecture,
    ! [X5] :
      ~ ! [X4] : ti(state,X4) = ti(state,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

fof(f99,plain,
    ( ti(state,sK0) != ti(state,sK1)
    | ~ hBOOL(hoare_1883395792gleton) ),
    inference(superposition,[],[f83,f81]) ).

fof(f83,plain,
    ( ti(state,sK2) != ti(state,sK1)
    | ~ hBOOL(hoare_1883395792gleton) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ( ( hBOOL(hoare_1883395792gleton)
      | ! [X0,X1] : ti(state,X1) = ti(state,X0) )
    & ( ti(state,sK2) != ti(state,sK1)
      | ~ hBOOL(hoare_1883395792gleton) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f74,f75]) ).

fof(f75,plain,
    ( ? [X2,X3] : ti(state,X3) != ti(state,X2)
   => ti(state,sK2) != ti(state,sK1) ),
    introduced(choice_axiom,[]) ).

fof(f74,plain,
    ( ( hBOOL(hoare_1883395792gleton)
      | ! [X0,X1] : ti(state,X1) = ti(state,X0) )
    & ( ? [X2,X3] : ti(state,X3) != ti(state,X2)
      | ~ hBOOL(hoare_1883395792gleton) ) ),
    inference(rectify,[],[f73]) ).

fof(f73,plain,
    ( ( hBOOL(hoare_1883395792gleton)
      | ! [X0,X1] : ti(state,X1) = ti(state,X0) )
    & ( ? [X0,X1] : ti(state,X1) != ti(state,X0)
      | ~ hBOOL(hoare_1883395792gleton) ) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,plain,
    ( hBOOL(hoare_1883395792gleton)
  <=> ? [X0,X1] : ti(state,X1) != ti(state,X0) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ( hBOOL(hoare_1883395792gleton)
  <=> ? [X4,X5] : ti(state,X4) != ti(state,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWW469+5 : TPTP v8.2.0. Released v5.3.0.
% 0.04/0.13  % 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
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Sat May 18 19:33:07 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.13/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.34  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/benchmark/theBenchmark.p
% 0.56/0.74  % (17575)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 (2996ds/34Mi)
% 0.56/0.74  % (17580)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.74  % (17579)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 (2996ds/34Mi)
% 0.56/0.74  % (17578)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.74  % (17580)First to succeed.
% 0.56/0.74  % (17580)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17574"
% 0.56/0.74  % (17578)Also succeeded, but the first one will report.
% 0.56/0.74  % (17580)Refutation found. Thanks to Tanya!
% 0.56/0.74  % SZS status Theorem for theBenchmark
% 0.56/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.74  % (17580)------------------------------
% 0.56/0.74  % (17580)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (17580)Termination reason: Refutation
% 0.56/0.74  
% 0.56/0.74  % (17580)Memory used [KB]: 1064
% 0.56/0.74  % (17580)Time elapsed: 0.004 s
% 0.56/0.74  % (17580)Instructions burned: 4 (million)
% 0.56/0.74  % (17574)Success in time 0.402 s
% 0.56/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------