TSTP Solution File: LCL525+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL525+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : 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 : Wed Aug 31 17:42:59 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   67 (  15 unt;   0 def)
%            Number of atoms       :  175 (   6 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  179 (  71   ~;  70   |;  16   &)
%                                         (  13 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  15 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   49 (  41   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f516,plain,
    $false,
    inference(avatar_sat_refutation,[],[f268,f276,f317,f352,f368,f369,f397,f420,f421,f459,f515]) ).

fof(f515,plain,
    ( ~ spl2_7
    | ~ spl2_9
    | ~ spl2_20
    | ~ spl2_32
    | spl2_43
    | ~ spl2_52 ),
    inference(avatar_contradiction_clause,[],[f514]) ).

fof(f514,plain,
    ( $false
    | ~ spl2_7
    | ~ spl2_9
    | ~ spl2_20
    | ~ spl2_32
    | spl2_43
    | ~ spl2_52 ),
    inference(subsumption_resolution,[],[f513,f263]) ).

fof(f263,plain,
    ( is_a_theorem(sK1)
    | ~ spl2_7 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl2_7
  <=> is_a_theorem(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f513,plain,
    ( ~ is_a_theorem(sK1)
    | ~ spl2_9
    | ~ spl2_20
    | ~ spl2_32
    | spl2_43
    | ~ spl2_52 ),
    inference(subsumption_resolution,[],[f511,f419]) ).

fof(f419,plain,
    ( ~ is_a_theorem(sK0)
    | spl2_43 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f417,plain,
    ( spl2_43
  <=> is_a_theorem(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_43])]) ).

fof(f511,plain,
    ( is_a_theorem(sK0)
    | ~ is_a_theorem(sK1)
    | ~ spl2_9
    | ~ spl2_20
    | ~ spl2_32
    | ~ spl2_52 ),
    inference(resolution,[],[f508,f458]) ).

fof(f458,plain,
    ( is_a_theorem(strict_implies(sK1,sK0))
    | ~ spl2_52 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f456,plain,
    ( spl2_52
  <=> is_a_theorem(strict_implies(sK1,sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_52])]) ).

fof(f508,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(strict_implies(X0,X1))
        | ~ is_a_theorem(X0)
        | is_a_theorem(X1) )
    | ~ spl2_9
    | ~ spl2_20
    | ~ spl2_32 ),
    inference(resolution,[],[f497,f316]) ).

fof(f316,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | is_a_theorem(X1)
        | ~ is_a_theorem(X0) )
    | ~ spl2_20 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f315,plain,
    ( spl2_20
  <=> ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | is_a_theorem(X1)
        | ~ is_a_theorem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).

fof(f497,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(strict_implies(X0,X1)) )
    | ~ spl2_9
    | ~ spl2_20
    | ~ spl2_32 ),
    inference(superposition,[],[f494,f271]) ).

fof(f271,plain,
    ( ! [X0,X1] : strict_implies(X1,X0) = necessarily(implies(X1,X0))
    | ~ spl2_9 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f270,plain,
    ( spl2_9
  <=> ! [X0,X1] : strict_implies(X1,X0) = necessarily(implies(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f494,plain,
    ( ! [X14] :
        ( ~ is_a_theorem(necessarily(X14))
        | is_a_theorem(X14) )
    | ~ spl2_20
    | ~ spl2_32 ),
    inference(resolution,[],[f316,f367]) ).

fof(f367,plain,
    ( ! [X0] : is_a_theorem(implies(necessarily(X0),X0))
    | ~ spl2_32 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f366,plain,
    ( spl2_32
  <=> ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).

fof(f459,plain,
    ( spl2_8
    | spl2_52 ),
    inference(avatar_split_clause,[],[f213,f456,f265]) ).

fof(f265,plain,
    ( spl2_8
  <=> modus_ponens_strict_implies ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).

fof(f213,plain,
    ( is_a_theorem(strict_implies(sK1,sK0))
    | modus_ponens_strict_implies ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ( ( is_a_theorem(strict_implies(sK1,sK0))
      & ~ is_a_theorem(sK0)
      & is_a_theorem(sK1) )
    | modus_ponens_strict_implies ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f173,f174]) ).

fof(f174,plain,
    ( ? [X0,X1] :
        ( is_a_theorem(strict_implies(X1,X0))
        & ~ is_a_theorem(X0)
        & is_a_theorem(X1) )
   => ( is_a_theorem(strict_implies(sK1,sK0))
      & ~ is_a_theorem(sK0)
      & is_a_theorem(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f173,plain,
    ( ? [X0,X1] :
        ( is_a_theorem(strict_implies(X1,X0))
        & ~ is_a_theorem(X0)
        & is_a_theorem(X1) )
    | modus_ponens_strict_implies ),
    inference(rectify,[],[f161]) ).

fof(f161,plain,
    ( ? [X1,X0] :
        ( is_a_theorem(strict_implies(X0,X1))
        & ~ is_a_theorem(X1)
        & is_a_theorem(X0) )
    | modus_ponens_strict_implies ),
    inference(flattening,[],[f160]) ).

fof(f160,plain,
    ( modus_ponens_strict_implies
    | ? [X0,X1] :
        ( ~ is_a_theorem(X1)
        & is_a_theorem(strict_implies(X0,X1))
        & is_a_theorem(X0) ) ),
    inference(ennf_transformation,[],[f118]) ).

fof(f118,plain,
    ( ! [X0,X1] :
        ( ( is_a_theorem(strict_implies(X0,X1))
          & is_a_theorem(X0) )
       => is_a_theorem(X1) )
   => modus_ponens_strict_implies ),
    inference(unused_predicate_definition_removal,[],[f51]) ).

fof(f51,axiom,
    ( modus_ponens_strict_implies
  <=> ! [X0,X1] :
        ( ( is_a_theorem(strict_implies(X0,X1))
          & is_a_theorem(X0) )
       => is_a_theorem(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',modus_ponens_strict_implies) ).

fof(f421,plain,
    spl2_19,
    inference(avatar_split_clause,[],[f218,f311]) ).

fof(f311,plain,
    ( spl2_19
  <=> modus_ponens ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).

fof(f218,plain,
    modus_ponens,
    inference(cnf_transformation,[],[f35]) ).

fof(f35,axiom,
    modus_ponens,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_modus_ponens) ).

fof(f420,plain,
    ( spl2_8
    | ~ spl2_43 ),
    inference(avatar_split_clause,[],[f212,f417,f265]) ).

fof(f212,plain,
    ( ~ is_a_theorem(sK0)
    | modus_ponens_strict_implies ),
    inference(cnf_transformation,[],[f175]) ).

fof(f397,plain,
    ~ spl2_8,
    inference(avatar_split_clause,[],[f195,f265]) ).

fof(f195,plain,
    ~ modus_ponens_strict_implies,
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ~ modus_ponens_strict_implies,
    inference(flattening,[],[f89]) ).

fof(f89,negated_conjecture,
    ~ modus_ponens_strict_implies,
    inference(negated_conjecture,[],[f88]) ).

fof(f88,conjecture,
    modus_ponens_strict_implies,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_modus_ponens_strict_implies) ).

fof(f369,plain,
    spl2_31,
    inference(avatar_split_clause,[],[f220,f362]) ).

fof(f362,plain,
    ( spl2_31
  <=> axiom_M ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).

fof(f220,plain,
    axiom_M,
    inference(cnf_transformation,[],[f80]) ).

fof(f80,axiom,
    axiom_M,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',km5_axiom_M) ).

fof(f368,plain,
    ( ~ spl2_31
    | spl2_32 ),
    inference(avatar_split_clause,[],[f216,f366,f362]) ).

fof(f216,plain,
    ! [X0] :
      ( is_a_theorem(implies(necessarily(X0),X0))
      | ~ axiom_M ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ( ~ axiom_M
    | ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
    inference(ennf_transformation,[],[f116]) ).

fof(f116,plain,
    ( axiom_M
   => ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
    inference(unused_predicate_definition_removal,[],[f55]) ).

fof(f55,axiom,
    ( ! [X0] : is_a_theorem(implies(necessarily(X0),X0))
  <=> axiom_M ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_M) ).

fof(f352,plain,
    spl2_10,
    inference(avatar_split_clause,[],[f180,f273]) ).

fof(f273,plain,
    ( spl2_10
  <=> op_strict_implies ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f180,plain,
    op_strict_implies,
    inference(cnf_transformation,[],[f85]) ).

fof(f85,axiom,
    op_strict_implies,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_strict_implies) ).

fof(f317,plain,
    ( ~ spl2_19
    | spl2_20 ),
    inference(avatar_split_clause,[],[f221,f315,f311]) ).

fof(f221,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ modus_ponens
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,plain,
    ( ~ modus_ponens
    | ! [X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(X1)
        | ~ is_a_theorem(implies(X0,X1)) ) ),
    inference(flattening,[],[f158]) ).

fof(f158,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0) )
    | ~ modus_ponens ),
    inference(ennf_transformation,[],[f134]) ).

fof(f134,plain,
    ( modus_ponens
   => ! [X0,X1] :
        ( ( is_a_theorem(implies(X0,X1))
          & is_a_theorem(X0) )
       => is_a_theorem(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f1,axiom,
    ( ! [X0,X1] :
        ( ( is_a_theorem(implies(X0,X1))
          & is_a_theorem(X0) )
       => is_a_theorem(X1) )
  <=> modus_ponens ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',modus_ponens) ).

fof(f276,plain,
    ( spl2_9
    | ~ spl2_10 ),
    inference(avatar_split_clause,[],[f230,f273,f270]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( ~ op_strict_implies
      | strict_implies(X1,X0) = necessarily(implies(X1,X0)) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f177,plain,
    ( ~ op_strict_implies
    | ! [X0,X1] : strict_implies(X1,X0) = necessarily(implies(X1,X0)) ),
    inference(rectify,[],[f156]) ).

fof(f156,plain,
    ( ~ op_strict_implies
    | ! [X1,X0] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,axiom,
    ( op_strict_implies
   => ! [X1,X0] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_strict_implies) ).

fof(f268,plain,
    ( spl2_7
    | spl2_8 ),
    inference(avatar_split_clause,[],[f211,f265,f261]) ).

fof(f211,plain,
    ( modus_ponens_strict_implies
    | is_a_theorem(sK1) ),
    inference(cnf_transformation,[],[f175]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : LCL525+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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   : Tue Aug 30 02:10:39 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.20/0.48  % (9363)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49  % (9371)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49  % (9371)Refutation not found, incomplete strategy% (9371)------------------------------
% 0.20/0.49  % (9371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (9371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (9371)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49  
% 0.20/0.49  % (9371)Memory used [KB]: 6012
% 0.20/0.49  % (9371)Time elapsed: 0.094 s
% 0.20/0.49  % (9371)Instructions burned: 2 (million)
% 0.20/0.49  % (9371)------------------------------
% 0.20/0.49  % (9371)------------------------------
% 0.20/0.49  % (9353)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49  % (9356)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)
% 0.20/0.49  % (9353)Refutation not found, incomplete strategy% (9353)------------------------------
% 0.20/0.49  % (9353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (9353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (9353)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49  
% 0.20/0.49  % (9353)Memory used [KB]: 6012
% 0.20/0.49  % (9353)Time elapsed: 0.111 s
% 0.20/0.49  % (9353)------------------------------
% 0.20/0.49  % (9353)------------------------------
% 0.20/0.49  % (9356)Refutation not found, incomplete strategy% (9356)------------------------------
% 0.20/0.49  % (9356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (9356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (9356)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49  
% 0.20/0.49  % (9356)Memory used [KB]: 6012
% 0.20/0.49  % (9356)Time elapsed: 0.097 s
% 0.20/0.49  % (9356)Instructions burned: 2 (million)
% 0.20/0.49  % (9356)------------------------------
% 0.20/0.49  % (9356)------------------------------
% 0.20/0.49  % (9359)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.49  % (9355)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.49  % (9363)Refutation not found, incomplete strategy% (9363)------------------------------
% 0.20/0.49  % (9363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (9363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (9363)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49  
% 0.20/0.49  % (9363)Memory used [KB]: 6012
% 0.20/0.49  % (9363)Time elapsed: 0.103 s
% 0.20/0.49  % (9363)Instructions burned: 2 (million)
% 0.20/0.49  % (9363)------------------------------
% 0.20/0.49  % (9363)------------------------------
% 0.20/0.50  % (9357)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50  % (9372)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.50  % (9358)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50  % (9358)Refutation not found, incomplete strategy% (9358)------------------------------
% 0.20/0.50  % (9358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (9358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (9358)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (9358)Memory used [KB]: 6012
% 0.20/0.50  % (9358)Time elapsed: 0.103 s
% 0.20/0.50  % (9358)Instructions burned: 1 (million)
% 0.20/0.50  % (9358)------------------------------
% 0.20/0.50  % (9358)------------------------------
% 0.20/0.50  % (9379)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.50  % (9379)Refutation not found, incomplete strategy% (9379)------------------------------
% 0.20/0.50  % (9379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (9379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (9379)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (9379)Memory used [KB]: 6012
% 0.20/0.50  % (9379)Time elapsed: 0.100 s
% 0.20/0.50  % (9379)Instructions burned: 2 (million)
% 0.20/0.50  % (9379)------------------------------
% 0.20/0.50  % (9379)------------------------------
% 0.20/0.50  % (9360)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.50  % (9360)Refutation not found, incomplete strategy% (9360)------------------------------
% 0.20/0.50  % (9360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (9360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (9360)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (9360)Memory used [KB]: 6012
% 0.20/0.50  % (9360)Time elapsed: 0.108 s
% 0.20/0.50  % (9360)Instructions burned: 2 (million)
% 0.20/0.50  % (9360)------------------------------
% 0.20/0.50  % (9360)------------------------------
% 0.20/0.51  % (9374)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (9368)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (9378)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.51  % (9368)Refutation not found, incomplete strategy% (9368)------------------------------
% 0.20/0.51  % (9368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (9368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (9368)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (9368)Memory used [KB]: 6012
% 0.20/0.51  % (9368)Time elapsed: 0.125 s
% 0.20/0.51  % (9368)------------------------------
% 0.20/0.51  % (9368)------------------------------
% 0.20/0.51  % (9350)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51  % (9351)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51  % (9364)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51  % (9351)Refutation not found, incomplete strategy% (9351)------------------------------
% 0.20/0.51  % (9351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (9351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (9351)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (9351)Memory used [KB]: 6012
% 0.20/0.51  % (9351)Time elapsed: 0.115 s
% 0.20/0.51  % (9351)Instructions burned: 2 (million)
% 0.20/0.51  % (9351)------------------------------
% 0.20/0.51  % (9351)------------------------------
% 0.20/0.51  % (9364)Instruction limit reached!
% 0.20/0.51  % (9364)------------------------------
% 0.20/0.51  % (9364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (9364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (9364)Termination reason: Unknown
% 0.20/0.51  % (9364)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (9364)Memory used [KB]: 6140
% 0.20/0.51  % (9364)Time elapsed: 0.003 s
% 0.20/0.51  % (9364)Instructions burned: 4 (million)
% 0.20/0.51  % (9364)------------------------------
% 0.20/0.51  % (9364)------------------------------
% 0.20/0.51  % (9354)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)
% 0.20/0.51  % (9354)Refutation not found, incomplete strategy% (9354)------------------------------
% 0.20/0.51  % (9354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (9354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (9354)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (9354)Memory used [KB]: 6012
% 0.20/0.51  % (9354)Time elapsed: 0.126 s
% 0.20/0.51  % (9354)Instructions burned: 2 (million)
% 0.20/0.51  % (9354)------------------------------
% 0.20/0.51  % (9354)------------------------------
% 0.20/0.51  % (9361)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (9376)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (9366)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (9376)Refutation not found, incomplete strategy% (9376)------------------------------
% 0.20/0.52  % (9376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (9376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (9376)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (9376)Memory used [KB]: 6140
% 0.20/0.52  % (9376)Time elapsed: 0.132 s
% 0.20/0.52  % (9376)Instructions burned: 3 (million)
% 0.20/0.52  % (9376)------------------------------
% 0.20/0.52  % (9376)------------------------------
% 0.20/0.52  % (9361)Instruction limit reached!
% 0.20/0.52  % (9361)------------------------------
% 0.20/0.52  % (9361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (9361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (9361)Termination reason: Unknown
% 0.20/0.52  % (9361)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (9361)Memory used [KB]: 6140
% 0.20/0.52  % (9361)Time elapsed: 0.127 s
% 0.20/0.52  % (9361)Instructions burned: 8 (million)
% 0.20/0.52  % (9361)------------------------------
% 0.20/0.52  % (9361)------------------------------
% 0.20/0.52  % (9359)Refutation not found, incomplete strategy% (9359)------------------------------
% 0.20/0.52  % (9359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (9359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (9359)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (9359)Memory used [KB]: 6012
% 0.20/0.52  % (9359)Time elapsed: 0.106 s
% 0.20/0.52  % (9359)Instructions burned: 2 (million)
% 0.20/0.52  % (9359)------------------------------
% 0.20/0.52  % (9359)------------------------------
% 0.20/0.52  % (9357)Refutation not found, incomplete strategy% (9357)------------------------------
% 0.20/0.52  % (9357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (9357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (9357)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (9357)Memory used [KB]: 6012
% 0.20/0.52  % (9357)Time elapsed: 0.121 s
% 0.20/0.52  % (9357)Instructions burned: 2 (million)
% 0.20/0.52  % (9357)------------------------------
% 0.20/0.52  % (9357)------------------------------
% 0.20/0.52  % (9355)Refutation not found, incomplete strategy% (9355)------------------------------
% 0.20/0.52  % (9355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (9355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (9355)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (9355)Memory used [KB]: 1535
% 0.20/0.52  % (9355)Time elapsed: 0.095 s
% 0.20/0.52  % (9355)Instructions burned: 2 (million)
% 0.20/0.52  % (9355)------------------------------
% 0.20/0.52  % (9355)------------------------------
% 0.20/0.52  % (9370)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.52  % (9352)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52  % (9365)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)
% 0.20/0.52  % (9352)Instruction limit reached!
% 0.20/0.52  % (9352)------------------------------
% 0.20/0.52  % (9352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (9352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (9352)Termination reason: Unknown
% 0.20/0.52  % (9352)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (9352)Memory used [KB]: 1535
% 0.20/0.52  % (9352)Time elapsed: 0.003 s
% 0.20/0.52  % (9352)Instructions burned: 3 (million)
% 0.20/0.52  % (9352)------------------------------
% 0.20/0.52  % (9352)------------------------------
% 0.20/0.52  % (9377)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52  % (9369)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.52  % (9370)Refutation not found, incomplete strategy% (9370)------------------------------
% 0.20/0.52  % (9370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (9370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (9370)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (9370)Memory used [KB]: 6140
% 0.20/0.52  % (9370)Time elapsed: 0.130 s
% 0.20/0.52  % (9370)Instructions burned: 5 (million)
% 0.20/0.52  % (9370)------------------------------
% 0.20/0.52  % (9370)------------------------------
% 0.20/0.52  % (9369)Refutation not found, incomplete strategy% (9369)------------------------------
% 0.20/0.52  % (9369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (9369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (9369)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (9369)Memory used [KB]: 6012
% 0.20/0.52  % (9369)Time elapsed: 0.141 s
% 0.20/0.52  % (9369)------------------------------
% 0.20/0.52  % (9369)------------------------------
% 0.20/0.52  % (9365)Instruction limit reached!
% 0.20/0.52  % (9365)------------------------------
% 0.20/0.52  % (9365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (9365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (9365)Termination reason: Unknown
% 0.20/0.52  % (9365)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (9365)Memory used [KB]: 6268
% 0.20/0.52  % (9365)Time elapsed: 0.141 s
% 0.20/0.52  % (9365)Instructions burned: 8 (million)
% 0.20/0.52  % (9365)------------------------------
% 0.20/0.52  % (9365)------------------------------
% 0.20/0.52  % (9367)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52  % (9350)First to succeed.
% 0.20/0.52  % (9367)Instruction limit reached!
% 0.20/0.52  % (9367)------------------------------
% 0.20/0.52  % (9367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (9367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (9367)Termination reason: Unknown
% 0.20/0.52  % (9367)Termination phase: Finite model building preprocessing
% 0.20/0.52  
% 0.20/0.52  % (9367)Memory used [KB]: 1535
% 0.20/0.52  % (9367)Time elapsed: 0.002 s
% 0.20/0.52  % (9367)Instructions burned: 3 (million)
% 0.20/0.52  % (9367)------------------------------
% 0.20/0.52  % (9367)------------------------------
% 0.20/0.52  % (9362)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)
% 0.20/0.52  % (9350)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (9350)------------------------------
% 0.20/0.53  % (9350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (9350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (9350)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (9350)Memory used [KB]: 6268
% 0.20/0.53  % (9350)Time elapsed: 0.116 s
% 0.20/0.53  % (9350)Instructions burned: 6 (million)
% 0.20/0.53  % (9350)------------------------------
% 0.20/0.53  % (9350)------------------------------
% 0.20/0.53  % (9349)Success in time 0.177 s
%------------------------------------------------------------------------------