TSTP Solution File: KRS068+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KRS068+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 : n032.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 23:21:51 EDT 2024

% Result   : Unsatisfiable 0.07s 0.28s
% Output   : Refutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   24 (   5 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   52 (  23   ~;  18   |;   4   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   25 (  23   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f29,plain,
    $false,
    inference(resolution,[],[f28,f16]) ).

fof(f16,plain,
    cUnsatisfiable(i2003_11_14_17_18_23845),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    cUnsatisfiable(i2003_11_14_17_18_23845),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f28,plain,
    ~ cUnsatisfiable(i2003_11_14_17_18_23845),
    inference(resolution,[],[f27,f18]) ).

fof(f18,plain,
    ! [X0] :
      ( cc(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0] :
      ( cc(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => cc(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f27,plain,
    ~ cc(i2003_11_14_17_18_23845),
    inference(resolution,[],[f26,f16]) ).

fof(f26,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ~ cc(X0) ),
    inference(resolution,[],[f25,f17]) ).

fof(f17,plain,
    ! [X0] :
      ( ~ cd(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ cd(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
     => ~ cd(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f25,plain,
    ! [X0] :
      ( cd(X0)
      | ~ cc(X0) ),
    inference(duplicate_literal_removal,[],[f24]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ cc(X0)
      | cd(X0)
      | cd(X0) ),
    inference(resolution,[],[f23,f21]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ cc(sK0(X0))
      | cd(X0) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0] :
      ( cd(X0)
      | ( ~ cc(sK0(X0))
        & rr(X0,sK0(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f13,f14]) ).

fof(f14,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ cc(X1)
          & rr(X0,X1) )
     => ( ~ cc(sK0(X0))
        & rr(X0,sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f13,plain,
    ! [X0] :
      ( cd(X0)
      | ? [X1] :
          ( ~ cc(X1)
          & rr(X0,X1) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ! [X1] :
          ( rr(X0,X1)
         => cc(X1) )
     => cd(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(f23,plain,
    ! [X0] :
      ( cc(sK0(X0))
      | ~ cc(X0)
      | cd(X0) ),
    inference(resolution,[],[f19,f20]) ).

fof(f20,plain,
    ! [X0] :
      ( rr(X0,sK0(X0))
      | cd(X0) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ rr(X0,X1)
      | cc(X1)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0] :
      ( ! [X1] :
          ( cc(X1)
          | ~ rr(X0,X1) )
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( cc(X0)
     => ! [X1] :
          ( rr(X0,X1)
         => cc(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : KRS068+1 : TPTP v8.2.0. Released v3.1.0.
% 0.00/0.08  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit   : 300
% 0.07/0.27  % WCLimit    : 300
% 0.07/0.27  % DateTime   : Sat May 18 22:17:37 EDT 2024
% 0.07/0.27  % CPUTime    : 
% 0.07/0.27  % (19597)Running in auto input_syntax mode. Trying TPTP
% 0.07/0.28  % (19602)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.07/0.28  % (19601)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)
% 0.07/0.28  % (19604)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.07/0.28  % (19600)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.07/0.28  % (19604)Also succeeded, but the first one will report.
% 0.07/0.28  % (19601)First to succeed.
% 0.07/0.28  TRYING [1,1]
% 0.07/0.28  % (19601)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19597"
% 0.07/0.28  TRYING [1,1]
% 0.07/0.28  TRYING [2,1]
% 0.07/0.28  TRYING [2,1]
% 0.07/0.28  Cannot enumerate next child to try in an incomplete setup
% 0.07/0.28  % (19602)Refutation not found, incomplete strategy% (19602)------------------------------
% 0.07/0.28  % (19602)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.07/0.28  Cannot enumerate next child to try in an incomplete setup
% 0.07/0.28  % (19602)Termination reason: Refutation not found, incomplete strategy
% 0.07/0.28  
% 0.07/0.28  % (19602)Memory used [KB]: 725
% 0.07/0.28  % (19602)Time elapsed: 0.002 s
% 0.07/0.28  % (19602)Instructions burned: 2 (million)
% 0.07/0.28  % (19600)Refutation not found, incomplete strategy% (19600)------------------------------
% 0.07/0.28  % (19600)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.07/0.28  % (19600)Termination reason: Refutation not found, incomplete strategy
% 0.07/0.28  
% 0.07/0.28  % (19600)Memory used [KB]: 725
% 0.07/0.28  % (19600)Time elapsed: 0.002 s
% 0.07/0.28  % (19600)Instructions burned: 2 (million)
% 0.07/0.28  % (19602)------------------------------
% 0.07/0.28  % (19602)------------------------------
% 0.07/0.28  % (19600)------------------------------
% 0.07/0.28  % (19600)------------------------------
% 0.07/0.28  % (19601)Refutation found. Thanks to Tanya!
% 0.07/0.28  % SZS status Unsatisfiable for theBenchmark
% 0.07/0.28  % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.28  % (19601)------------------------------
% 0.07/0.28  % (19601)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.07/0.28  % (19601)Termination reason: Refutation
% 0.07/0.28  
% 0.07/0.28  % (19601)Memory used [KB]: 737
% 0.07/0.28  % (19601)Time elapsed: 0.002 s
% 0.07/0.28  % (19601)Instructions burned: 3 (million)
% 0.07/0.28  % (19597)Success in time 0.01 s
%------------------------------------------------------------------------------