TSTP Solution File: KRS092+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KRS092+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n013.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 : Wed Aug 31 17:29:40 EDT 2022

% Result   : Unsatisfiable 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (   7 unt;   0 def)
%            Number of atoms       :   60 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   55 (  17   ~;  13   |;  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   :   27 (  21   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f34,plain,
    $false,
    inference(subsumption_resolution,[],[f33,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/sandbox2/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,X1] :
      ( ~ rr(X0,X1)
      | ~ cUnsatisfiable(X0)
      | cd(X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ( ! [X1] :
            ( ~ rr(X0,X1)
            | ( cc(X1)
              & cd(X1) ) )
        & rr(X0,sK0(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] :
      ( ~ cUnsatisfiable(X0)
      | ( ! [X1] :
            ( ~ rr(X0,X1)
            | ( cc(X1)
              & cd(X1) ) )
        & ? [X2] : rr(X0,X2) ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,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] :
            ( rr(X0,X2)
            & cowlThing(X2) ) ) ),
    inference(unused_predicate_definition_removal,[],[f10]) ).

fof(f10,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( rr(X0,X1)
           => ( cc(X1)
              & cd(X1) ) )
        & ? [X2] :
            ( rr(X0,X2)
            & cowlThing(X2) ) )
    <=> cUnsatisfiable(X0) ),
    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/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f28,plain,
    rr(i2003_11_14_17_20_04172,sK0(i2003_11_14_17_20_04172)),
    inference(resolution,[],[f24,f23]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | rr(X0,sK0(X0)) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f33,plain,
    ~ cd(sK0(i2003_11_14_17_20_04172)),
    inference(resolution,[],[f32,f27]) ).

fof(f27,plain,
    ! [X0] :
      ( ~ cc(X0)
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f19]) ).

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

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

fof(f32,plain,
    cc(sK0(i2003_11_14_17_20_04172)),
    inference(subsumption_resolution,[],[f31,f23]) ).

fof(f31,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_20_04172)
    | cc(sK0(i2003_11_14_17_20_04172)) ),
    inference(resolution,[],[f26,f28]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : KRS092+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 00:29:32 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.51  % (20277)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.51  % (20277)Refutation not found, incomplete strategy% (20277)------------------------------
% 0.21/0.51  % (20277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (20266)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.51  % (20269)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.51  % (20269)First to succeed.
% 0.21/0.51  % (20277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (20277)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51  
% 0.21/0.51  % (20277)Memory used [KB]: 1407
% 0.21/0.51  % (20277)Time elapsed: 0.005 s
% 0.21/0.51  % (20277)Instructions burned: 1 (million)
% 0.21/0.51  % (20277)------------------------------
% 0.21/0.51  % (20277)------------------------------
% 0.21/0.51  % (20258)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.51  % (20260)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.51  % (20260)Refutation not found, incomplete strategy% (20260)------------------------------
% 0.21/0.51  % (20260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (20260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (20260)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51  
% 0.21/0.51  % (20260)Memory used [KB]: 5884
% 0.21/0.51  % (20260)Time elapsed: 0.001 s
% 0.21/0.51  % (20260)------------------------------
% 0.21/0.51  % (20260)------------------------------
% 0.21/0.51  % (20269)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (20269)------------------------------
% 0.21/0.51  % (20269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (20269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (20269)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (20269)Memory used [KB]: 5884
% 0.21/0.51  % (20269)Time elapsed: 0.062 s
% 0.21/0.51  % (20269)Instructions burned: 1 (million)
% 0.21/0.51  % (20269)------------------------------
% 0.21/0.51  % (20269)------------------------------
% 0.21/0.51  % (20251)Success in time 0.156 s
%------------------------------------------------------------------------------