TSTP Solution File: KRS092+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KRS092+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Mon May 20 23:21:56 EDT 2024

% Result   : Unsatisfiable 0.13s 0.30s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   6 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   59 (  19   ~;  15   |;  15   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   29 (  23   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,plain,
    $false,
    inference(subsumption_resolution,[],[f34,f30]) ).

fof(f30,plain,
    cd(sK0(i2003_11_14_17_20_04172)),
    inference(subsumption_resolution,[],[f29,f23]) ).

fof(f23,plain,
    cUnsatisfiable(i2003_11_14_17_20_04172),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    cUnsatisfiable(i2003_11_14_17_20_04172),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f29,plain,
    ( cd(sK0(i2003_11_14_17_20_04172))
    | ~ cUnsatisfiable(i2003_11_14_17_20_04172) ),
    inference(resolution,[],[f28,f25]) ).

fof(f25,plain,
    ! [X0] :
      ( rr(X0,sK0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ( cc(X1)
              & cd(X1) )
            | ~ rr(X0,X1) )
        & rr(X0,sK0(X0)) )
      | ~ cUnsatisfiable(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f21]) ).

fof(f21,plain,
    ! [X0] :
      ( ? [X2] : rr(X0,X2)
     => rr(X0,sK0(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ( cc(X1)
              & cd(X1) )
            | ~ rr(X0,X1) )
        & ? [X2] : rr(X0,X2) )
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ( ! [X1] :
            ( rr(X0,X1)
           => ( cc(X1)
              & cd(X1) ) )
        & ? [X2] : rr(X0,X2) ) ),
    inference(pure_predicate_removal,[],[f11]) ).

fof(f11,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ( ! [X1] :
            ( rr(X0,X1)
           => ( cc(X1)
              & cd(X1) ) )
        & ? [X2] :
            ( cowlThing(X2)
            & rr(X0,X2) ) ) ),
    inference(unused_predicate_definition_removal,[],[f10]) ).

fof(f10,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1] :
            ( rr(X0,X1)
           => ( cc(X1)
              & cd(X1) ) )
        & ? [X2] :
            ( cowlThing(X2)
            & rr(X0,X2) ) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1] :
            ( rr(X0,X1)
           => ( cc(X1)
              & cd(X1) ) )
        & ? [X1] :
            ( cowlThing(X1)
            & rr(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f28,plain,
    ! [X0] :
      ( ~ rr(i2003_11_14_17_20_04172,X0)
      | cd(X0) ),
    inference(resolution,[],[f26,f23]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ cUnsatisfiable(X0)
      | ~ rr(X0,X1)
      | cd(X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f34,plain,
    ~ cd(sK0(i2003_11_14_17_20_04172)),
    inference(resolution,[],[f33,f24]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ cc(X0)
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ cd(X0)
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( cc(X0)
     => ~ cd(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f33,plain,
    cc(sK0(i2003_11_14_17_20_04172)),
    inference(subsumption_resolution,[],[f32,f23]) ).

fof(f32,plain,
    ( cc(sK0(i2003_11_14_17_20_04172))
    | ~ cUnsatisfiable(i2003_11_14_17_20_04172) ),
    inference(resolution,[],[f31,f25]) ).

fof(f31,plain,
    ! [X0] :
      ( ~ rr(i2003_11_14_17_20_04172,X0)
      | cc(X0) ),
    inference(resolution,[],[f27,f23]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ cUnsatisfiable(X0)
      | ~ rr(X0,X1)
      | cc(X1) ),
    inference(cnf_transformation,[],[f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : KRS092+1 : TPTP v8.2.0. Released v3.1.0.
% 0.00/0.09  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.28  % Computer : n026.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit   : 300
% 0.09/0.28  % WCLimit    : 300
% 0.09/0.28  % DateTime   : Sat May 18 22:14:37 EDT 2024
% 0.09/0.28  % CPUTime    : 
% 0.09/0.28  % (32049)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.30  % (32055)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.30  % (32054)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.30  % (32056)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.30  % (32052)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.30  % (32055)First to succeed.
% 0.13/0.30  % (32051)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.30  % (32053)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.30  % (32055)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32049"
% 0.13/0.30  TRYING [1]
% 0.13/0.30  % (32054)Also succeeded, but the first one will report.
% 0.13/0.30  TRYING [2]
% 0.13/0.30  % (32052)Also succeeded, but the first one will report.
% 0.13/0.30  % (32056)Also succeeded, but the first one will report.
% 0.13/0.30  TRYING [1,1,1]
% 0.13/0.30  TRYING [2,2,1]
% 0.13/0.30  TRYING [1,1,1]
% 0.13/0.30  Cannot enumerate next child to try in an incomplete setup
% 0.13/0.30  % (32051)Refutation not found, incomplete strategy% (32051)------------------------------
% 0.13/0.30  % (32051)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.30  % (32051)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.30  
% 0.13/0.30  % (32051)Memory used [KB]: 726
% 0.13/0.30  % (32051)Time elapsed: 0.002 s
% 0.13/0.30  % (32051)Instructions burned: 2 (million)
% 0.13/0.30  TRYING [2,2,1]
% 0.13/0.30  Cannot enumerate next child to try in an incomplete setup
% 0.13/0.30  % (32053)Refutation not found, incomplete strategy% (32053)------------------------------
% 0.13/0.30  % (32053)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.30  % (32053)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.30  
% 0.13/0.30  % (32053)Memory used [KB]: 727
% 0.13/0.30  % (32053)Time elapsed: 0.002 s
% 0.13/0.30  % (32053)Instructions burned: 2 (million)
% 0.13/0.30  % (32051)------------------------------
% 0.13/0.30  % (32051)------------------------------
% 0.13/0.30  % (32053)------------------------------
% 0.13/0.30  % (32053)------------------------------
% 0.13/0.30  % (32055)Refutation found. Thanks to Tanya!
% 0.13/0.30  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.30  % (32055)------------------------------
% 0.13/0.30  % (32055)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.30  % (32055)Termination reason: Refutation
% 0.13/0.30  
% 0.13/0.30  % (32055)Memory used [KB]: 736
% 0.13/0.30  % (32055)Time elapsed: 0.003 s
% 0.13/0.30  % (32055)Instructions burned: 3 (million)
% 0.13/0.30  % (32049)Success in time 0.016 s
%------------------------------------------------------------------------------