TSTP Solution File: SWV392+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV392+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n020.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 06:18:28 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   38 (   9 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   44 (  17   ~;   2   |;  19   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   19 (   8   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f79,plain,
    $false,
    inference(resolution,[],[f50,f46]) ).

fof(f46,plain,
    contains_slb(create_slb,sK3),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( sK1 != sK3
    & ~ pair_in_list(remove_slb(create_slb,sK3),sK1,sK2)
    & contains_slb(create_slb,sK3)
    & pair_in_list(create_slb,sK1,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f23,f37,f36]) ).

fof(f36,plain,
    ( ? [X0,X1] :
        ( ? [X2] :
            ( X0 != X2
            & ~ pair_in_list(remove_slb(create_slb,X2),X0,X1)
            & contains_slb(create_slb,X2) )
        & pair_in_list(create_slb,X0,X1) )
   => ( ? [X2] :
          ( sK1 != X2
          & ~ pair_in_list(remove_slb(create_slb,X2),sK1,sK2)
          & contains_slb(create_slb,X2) )
      & pair_in_list(create_slb,sK1,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ( ? [X2] :
        ( sK1 != X2
        & ~ pair_in_list(remove_slb(create_slb,X2),sK1,sK2)
        & contains_slb(create_slb,X2) )
   => ( sK1 != sK3
      & ~ pair_in_list(remove_slb(create_slb,sK3),sK1,sK2)
      & contains_slb(create_slb,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( X0 != X2
          & ~ pair_in_list(remove_slb(create_slb,X2),X0,X1)
          & contains_slb(create_slb,X2) )
      & pair_in_list(create_slb,X0,X1) ),
    inference(flattening,[],[f22]) ).

fof(f22,plain,
    ? [X0,X1] :
      ( ? [X2] :
          ( X0 != X2
          & ~ pair_in_list(remove_slb(create_slb,X2),X0,X1)
          & contains_slb(create_slb,X2) )
      & pair_in_list(create_slb,X0,X1) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ! [X0,X1] :
        ( pair_in_list(create_slb,X0,X1)
       => ! [X2] :
            ( contains_slb(create_slb,X2)
           => ( X0 = X2
              | pair_in_list(remove_slb(create_slb,X2),X0,X1) ) ) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ! [X0,X1] :
      ( pair_in_list(create_slb,X0,X1)
     => ! [X2] :
          ( contains_slb(create_slb,X2)
         => ( X0 = X2
            | pair_in_list(remove_slb(create_slb,X2),X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l28_co) ).

fof(f50,plain,
    ! [X0] : ~ contains_slb(create_slb,X0),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] : ~ contains_slb(create_slb,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV392+1 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 09:11:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (10619)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (10622)WARNING: value z3 for option sas not known
% 0.13/0.37  % (10621)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (10625)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37  % (10620)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  % (10623)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (10624)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37  % (10622)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  % (10626)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37  % (10625)Also succeeded, but the first one will report.
% 0.13/0.37  % (10626)First to succeed.
% 0.13/0.37  % (10624)Also succeeded, but the first one will report.
% 0.13/0.37  % (10626)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10619"
% 0.13/0.37  % (10622)Also succeeded, but the first one will report.
% 0.13/0.37  TRYING [1]
% 0.13/0.37  % (10626)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (10626)------------------------------
% 0.13/0.37  % (10626)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37  % (10626)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (10626)Memory used [KB]: 862
% 0.13/0.37  % (10626)Time elapsed: 0.004 s
% 0.13/0.37  % (10626)Instructions burned: 4 (million)
% 0.13/0.37  % (10619)Success in time 0.03 s
%------------------------------------------------------------------------------