TSTP Solution File: LCL531+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL531+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 : n011.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 17:43:00 EDT 2022

% Result   : Theorem 1.66s 0.58s
% Output   : Refutation 1.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   92 (  21 unt;   0 def)
%            Number of atoms       :  197 (   6 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  175 (  70   ~;  70   |;   3   &)
%                                         (  20 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   21 (  19 usr;  19 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   68 (  66   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f558,plain,
    $false,
    inference(avatar_sat_refutation,[],[f256,f291,f319,f326,f333,f417,f428,f436,f456,f472,f476,f524,f557]) ).

fof(f557,plain,
    ( ~ spl1_4
    | ~ spl1_13
    | ~ spl1_22
    | spl1_24
    | ~ spl1_25
    | ~ spl1_50 ),
    inference(avatar_contradiction_clause,[],[f555]) ).

fof(f555,plain,
    ( $false
    | ~ spl1_4
    | ~ spl1_13
    | ~ spl1_22
    | spl1_24
    | ~ spl1_25
    | ~ spl1_50 ),
    inference(unit_resulting_resolution,[],[f531,f329,f416,f318]) ).

fof(f318,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X1,X0))
        | ~ is_a_theorem(X1)
        | is_a_theorem(X0) )
    | ~ spl1_22 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f317,plain,
    ( spl1_22
  <=> ! [X0,X1] :
        ( ~ is_a_theorem(X1)
        | is_a_theorem(X0)
        | ~ is_a_theorem(implies(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_22])]) ).

fof(f416,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(X1,implies(X1,X0)),implies(X1,X0)))
    | ~ spl1_50 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f415,plain,
    ( spl1_50
  <=> ! [X0,X1] : is_a_theorem(implies(implies(X1,implies(X1,X0)),implies(X1,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_50])]) ).

fof(f329,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
    | ~ spl1_25 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f328,plain,
    ( spl1_25
  <=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_25])]) ).

fof(f531,plain,
    ( ~ is_a_theorem(implies(sK0,and(sK0,sK0)))
    | ~ spl1_4
    | ~ spl1_13
    | spl1_24 ),
    inference(resolution,[],[f530,f255]) ).

fof(f255,plain,
    ( ! [X0] :
        ( is_a_theorem(necessarily(X0))
        | ~ is_a_theorem(X0) )
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl1_4
  <=> ! [X0] :
        ( is_a_theorem(necessarily(X0))
        | ~ is_a_theorem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f530,plain,
    ( ~ is_a_theorem(necessarily(implies(sK0,and(sK0,sK0))))
    | ~ spl1_13
    | spl1_24 ),
    inference(backward_demodulation,[],[f325,f287]) ).

fof(f287,plain,
    ( ! [X0,X1] : strict_implies(X1,X0) = necessarily(implies(X1,X0))
    | ~ spl1_13 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f286,plain,
    ( spl1_13
  <=> ! [X0,X1] : strict_implies(X1,X0) = necessarily(implies(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).

fof(f325,plain,
    ( ~ is_a_theorem(strict_implies(sK0,and(sK0,sK0)))
    | spl1_24 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f324,plain,
    ( spl1_24
  <=> is_a_theorem(strict_implies(sK0,and(sK0,sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_24])]) ).

fof(f524,plain,
    spl1_49,
    inference(avatar_contradiction_clause,[],[f521]) ).

fof(f521,plain,
    ( $false
    | spl1_49 ),
    inference(unit_resulting_resolution,[],[f232,f413]) ).

fof(f413,plain,
    ( ~ implies_2
    | spl1_49 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f412,plain,
    ( spl1_49
  <=> implies_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_49])]) ).

fof(f232,plain,
    implies_2,
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    implies_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_implies_2) ).

fof(f476,plain,
    spl1_26,
    inference(avatar_contradiction_clause,[],[f473]) ).

fof(f473,plain,
    ( $false
    | spl1_26 ),
    inference(unit_resulting_resolution,[],[f227,f332]) ).

fof(f332,plain,
    ( ~ and_3
    | spl1_26 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f331,plain,
    ( spl1_26
  <=> and_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_26])]) ).

fof(f227,plain,
    and_3,
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    and_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_3) ).

fof(f472,plain,
    spl1_21,
    inference(avatar_contradiction_clause,[],[f469]) ).

fof(f469,plain,
    ( $false
    | spl1_21 ),
    inference(unit_resulting_resolution,[],[f189,f315]) ).

fof(f315,plain,
    ( ~ modus_ponens
    | spl1_21 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f314,plain,
    ( spl1_21
  <=> modus_ponens ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_21])]) ).

fof(f189,plain,
    modus_ponens,
    inference(cnf_transformation,[],[f35]) ).

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

fof(f456,plain,
    spl1_14,
    inference(avatar_contradiction_clause,[],[f453]) ).

fof(f453,plain,
    ( $false
    | spl1_14 ),
    inference(unit_resulting_resolution,[],[f198,f290]) ).

fof(f290,plain,
    ( ~ op_strict_implies
    | spl1_14 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f289,plain,
    ( spl1_14
  <=> op_strict_implies ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).

fof(f198,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(f436,plain,
    spl1_3,
    inference(avatar_contradiction_clause,[],[f434]) ).

fof(f434,plain,
    ( $false
    | spl1_3 ),
    inference(resolution,[],[f252,f236]) ).

fof(f236,plain,
    necessitation,
    inference(cnf_transformation,[],[f78]) ).

fof(f78,axiom,
    necessitation,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',km5_necessitation) ).

fof(f252,plain,
    ( ~ necessitation
    | spl1_3 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl1_3
  <=> necessitation ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f428,plain,
    ~ spl1_23,
    inference(avatar_contradiction_clause,[],[f425]) ).

fof(f425,plain,
    ( $false
    | ~ spl1_23 ),
    inference(unit_resulting_resolution,[],[f228,f322]) ).

fof(f322,plain,
    ( axiom_m4
    | ~ spl1_23 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f321,plain,
    ( spl1_23
  <=> axiom_m4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_23])]) ).

fof(f228,plain,
    ~ axiom_m4,
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ~ axiom_m4,
    inference(flattening,[],[f89]) ).

fof(f89,negated_conjecture,
    ~ axiom_m4,
    inference(negated_conjecture,[],[f88]) ).

fof(f88,conjecture,
    axiom_m4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_axiom_m4) ).

fof(f417,plain,
    ( ~ spl1_49
    | spl1_50 ),
    inference(avatar_split_clause,[],[f203,f415,f412]) ).

fof(f203,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X1,implies(X1,X0)),implies(X1,X0)))
      | ~ implies_2 ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ( ~ implies_2
    | ! [X0,X1] : is_a_theorem(implies(implies(X1,implies(X1,X0)),implies(X1,X0))) ),
    inference(ennf_transformation,[],[f138]) ).

fof(f138,plain,
    ( implies_2
   => ! [X0,X1] : is_a_theorem(implies(implies(X1,implies(X1,X0)),implies(X1,X0))) ),
    inference(unused_predicate_definition_removal,[],[f94]) ).

fof(f94,plain,
    ( implies_2
  <=> ! [X0,X1] : is_a_theorem(implies(implies(X1,implies(X1,X0)),implies(X1,X0))) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ( implies_2
  <=> ! [X1,X0] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_2) ).

fof(f333,plain,
    ( spl1_25
    | ~ spl1_26 ),
    inference(avatar_split_clause,[],[f188,f331,f328]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( ~ and_3
      | is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f174,plain,
    ( ~ and_3
    | ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
    inference(rectify,[],[f153]) ).

fof(f153,plain,
    ( ~ and_3
    | ! [X1,X0] : is_a_theorem(implies(X1,implies(X0,and(X1,X0)))) ),
    inference(ennf_transformation,[],[f134]) ).

fof(f134,plain,
    ( and_3
   => ! [X1,X0] : is_a_theorem(implies(X1,implies(X0,and(X1,X0)))) ),
    inference(unused_predicate_definition_removal,[],[f107]) ).

fof(f107,plain,
    ( ! [X1,X0] : is_a_theorem(implies(X1,implies(X0,and(X1,X0))))
  <=> and_3 ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ( and_3
  <=> ! [X1,X0] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_3) ).

fof(f326,plain,
    ( spl1_23
    | ~ spl1_24 ),
    inference(avatar_split_clause,[],[f229,f324,f321]) ).

fof(f229,plain,
    ( ~ is_a_theorem(strict_implies(sK0,and(sK0,sK0)))
    | axiom_m4 ),
    inference(cnf_transformation,[],[f184]) ).

fof(f184,plain,
    ( axiom_m4
    | ~ is_a_theorem(strict_implies(sK0,and(sK0,sK0))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f158,f183]) ).

fof(f183,plain,
    ( ? [X0] : ~ is_a_theorem(strict_implies(X0,and(X0,X0)))
   => ~ is_a_theorem(strict_implies(sK0,and(sK0,sK0))) ),
    introduced(choice_axiom,[]) ).

fof(f158,plain,
    ( axiom_m4
    | ? [X0] : ~ is_a_theorem(strict_implies(X0,and(X0,X0))) ),
    inference(ennf_transformation,[],[f123]) ).

fof(f123,plain,
    ( ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0)))
   => axiom_m4 ),
    inference(unused_predicate_definition_removal,[],[f66]) ).

fof(f66,axiom,
    ( ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0)))
  <=> axiom_m4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_m4) ).

fof(f319,plain,
    ( ~ spl1_21
    | spl1_22 ),
    inference(avatar_split_clause,[],[f207,f317,f314]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X1)
      | ~ modus_ponens
      | ~ is_a_theorem(implies(X1,X0))
      | is_a_theorem(X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X0)
        | ~ is_a_theorem(X1)
        | ~ is_a_theorem(implies(X1,X0)) )
    | ~ modus_ponens ),
    inference(flattening,[],[f151]) ).

fof(f151,plain,
    ( ! [X1,X0] :
        ( is_a_theorem(X0)
        | ~ is_a_theorem(X1)
        | ~ is_a_theorem(implies(X1,X0)) )
    | ~ modus_ponens ),
    inference(ennf_transformation,[],[f142]) ).

fof(f142,plain,
    ( modus_ponens
   => ! [X1,X0] :
        ( ( is_a_theorem(X1)
          & is_a_theorem(implies(X1,X0)) )
       => is_a_theorem(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f102]) ).

fof(f102,plain,
    ( modus_ponens
  <=> ! [X1,X0] :
        ( ( is_a_theorem(X1)
          & is_a_theorem(implies(X1,X0)) )
       => is_a_theorem(X0) ) ),
    inference(rectify,[],[f1]) ).

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

fof(f291,plain,
    ( spl1_13
    | ~ spl1_14 ),
    inference(avatar_split_clause,[],[f241,f289,f286]) ).

fof(f241,plain,
    ! [X0,X1] :
      ( ~ op_strict_implies
      | strict_implies(X1,X0) = necessarily(implies(X1,X0)) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f187,plain,
    ( ! [X0,X1] : strict_implies(X1,X0) = necessarily(implies(X1,X0))
    | ~ op_strict_implies ),
    inference(rectify,[],[f170]) ).

fof(f170,plain,
    ( ! [X1,X0] : strict_implies(X0,X1) = necessarily(implies(X0,X1))
    | ~ op_strict_implies ),
    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(f256,plain,
    ( ~ spl1_3
    | spl1_4 ),
    inference(avatar_split_clause,[],[f193,f254,f251]) ).

fof(f193,plain,
    ! [X0] :
      ( is_a_theorem(necessarily(X0))
      | ~ is_a_theorem(X0)
      | ~ necessitation ),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,plain,
    ( ~ necessitation
    | ! [X0] :
        ( is_a_theorem(necessarily(X0))
        | ~ is_a_theorem(X0) ) ),
    inference(ennf_transformation,[],[f127]) ).

fof(f127,plain,
    ( necessitation
   => ! [X0] :
        ( is_a_theorem(X0)
       => is_a_theorem(necessarily(X0)) ) ),
    inference(unused_predicate_definition_removal,[],[f50]) ).

fof(f50,axiom,
    ( necessitation
  <=> ! [X0] :
        ( is_a_theorem(X0)
       => is_a_theorem(necessarily(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',necessitation) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL531+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 02:04:25 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.51  % (30664)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)
% 0.21/0.51  % (30672)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)
% 0.21/0.51  % (30656)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)
% 0.21/0.52  % (30668)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)
% 0.21/0.52  % (30664)Refutation not found, incomplete strategy% (30664)------------------------------
% 0.21/0.52  % (30664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (30664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (30664)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52  
% 0.21/0.52  % (30664)Memory used [KB]: 6012
% 0.21/0.52  % (30664)Time elapsed: 0.004 s
% 0.21/0.52  % (30664)Instructions burned: 1 (million)
% 0.21/0.52  % (30664)------------------------------
% 0.21/0.52  % (30664)------------------------------
% 0.21/0.52  % (30656)Refutation not found, incomplete strategy% (30656)------------------------------
% 0.21/0.52  % (30656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (30656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (30656)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52  
% 0.21/0.52  % (30656)Memory used [KB]: 6012
% 0.21/0.52  % (30656)Time elapsed: 0.004 s
% 0.21/0.52  % (30656)Instructions burned: 2 (million)
% 0.21/0.52  % (30656)------------------------------
% 0.21/0.52  % (30656)------------------------------
% 0.21/0.52  % (30660)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)
% 0.21/0.52  % (30660)Instruction limit reached!
% 0.21/0.52  % (30660)------------------------------
% 0.21/0.52  % (30660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (30660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (30660)Termination reason: Unknown
% 0.21/0.52  % (30660)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (30660)Memory used [KB]: 6140
% 0.21/0.52  % (30660)Time elapsed: 0.004 s
% 0.21/0.52  % (30660)Instructions burned: 4 (million)
% 0.21/0.52  % (30660)------------------------------
% 0.21/0.52  % (30660)------------------------------
% 0.21/0.52  % (30652)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)
% 0.21/0.52  % (30652)Refutation not found, incomplete strategy% (30652)------------------------------
% 0.21/0.52  % (30652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (30652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (30652)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52  
% 0.21/0.52  % (30652)Memory used [KB]: 6012
% 0.21/0.52  % (30652)Time elapsed: 0.002 s
% 0.21/0.52  % (30652)Instructions burned: 2 (million)
% 0.21/0.52  % (30652)------------------------------
% 0.21/0.52  % (30652)------------------------------
% 0.21/0.53  % (30647)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)
% 0.21/0.53  % (30646)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.53  % (30647)Refutation not found, incomplete strategy% (30647)------------------------------
% 0.21/0.53  % (30647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (30647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (30647)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (30647)Memory used [KB]: 6012
% 0.21/0.53  % (30647)Time elapsed: 0.002 s
% 0.21/0.53  % (30647)------------------------------
% 0.21/0.53  % (30647)------------------------------
% 0.21/0.53  % (30648)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)
% 0.21/0.53  % (30670)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)
% 0.21/0.53  % (30648)Instruction limit reached!
% 0.21/0.53  % (30648)------------------------------
% 0.21/0.53  % (30648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (30648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (30648)Termination reason: Unknown
% 0.21/0.53  % (30648)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (30648)Memory used [KB]: 6012
% 0.21/0.53  % (30648)Time elapsed: 0.122 s
% 0.21/0.53  % (30648)Instructions burned: 3 (million)
% 0.21/0.53  % (30648)------------------------------
% 0.21/0.53  % (30648)------------------------------
% 0.21/0.53  % (30650)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)
% 0.21/0.53  % (30650)Refutation not found, incomplete strategy% (30650)------------------------------
% 0.21/0.53  % (30650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (30650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (30650)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (30650)Memory used [KB]: 6012
% 0.21/0.53  % (30650)Time elapsed: 0.003 s
% 0.21/0.53  % (30650)Instructions burned: 2 (million)
% 0.21/0.53  % (30650)------------------------------
% 0.21/0.53  % (30650)------------------------------
% 0.21/0.53  % (30649)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)
% 0.21/0.53  % (30649)Refutation not found, incomplete strategy% (30649)------------------------------
% 0.21/0.53  % (30649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (30649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (30649)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (30649)Memory used [KB]: 6012
% 0.21/0.53  % (30649)Time elapsed: 0.001 s
% 0.21/0.53  % (30649)------------------------------
% 0.21/0.53  % (30649)------------------------------
% 0.21/0.53  % (30662)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)
% 0.21/0.54  % (30651)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)
% 0.21/0.54  % (30666)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)
% 0.21/0.54  % (30655)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)
% 0.21/0.54  % (30665)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)
% 0.21/0.54  % (30655)Refutation not found, incomplete strategy% (30655)------------------------------
% 0.21/0.54  % (30655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (30655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (30655)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54  
% 0.21/0.54  % (30655)Memory used [KB]: 6012
% 0.21/0.54  % (30655)Time elapsed: 0.002 s
% 0.21/0.54  % (30655)Instructions burned: 1 (million)
% 0.21/0.54  % (30655)------------------------------
% 0.21/0.54  % (30655)------------------------------
% 0.21/0.54  % (30665)Refutation not found, incomplete strategy% (30665)------------------------------
% 0.21/0.54  % (30665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (30665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (30665)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54  
% 0.21/0.54  % (30665)Memory used [KB]: 6012
% 0.21/0.54  % (30665)Time elapsed: 0.002 s
% 0.21/0.54  % (30665)Instructions burned: 2 (million)
% 0.21/0.54  % (30665)------------------------------
% 0.21/0.54  % (30665)------------------------------
% 0.21/0.54  % (30661)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)
% 0.21/0.54  % (30667)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)
% 0.21/0.54  % (30654)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)
% 0.21/0.54  % (30654)Refutation not found, incomplete strategy% (30654)------------------------------
% 0.21/0.54  % (30654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (30654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (30654)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54  
% 0.21/0.54  % (30654)Memory used [KB]: 6012
% 0.21/0.54  % (30654)Time elapsed: 0.002 s
% 0.21/0.54  % (30654)------------------------------
% 0.21/0.54  % (30654)------------------------------
% 0.21/0.54  % (30674)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)
% 0.21/0.54  % (30674)Refutation not found, incomplete strategy% (30674)------------------------------
% 0.21/0.54  % (30674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (30674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (30674)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54  
% 0.21/0.54  % (30674)Memory used [KB]: 6012
% 0.21/0.54  % (30674)Time elapsed: 0.146 s
% 0.21/0.54  % (30674)Instructions burned: 2 (million)
% 0.21/0.54  % (30674)------------------------------
% 0.21/0.54  % (30674)------------------------------
% 0.21/0.54  % (30657)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)
% 0.21/0.54  % (30671)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.54  % (30659)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)
% 0.21/0.54  % (30659)Refutation not found, incomplete strategy% (30659)------------------------------
% 0.21/0.54  % (30659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (30659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (30659)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54  
% 0.21/0.54  % (30659)Memory used [KB]: 6012
% 0.21/0.54  % (30659)Time elapsed: 0.002 s
% 0.21/0.54  % (30659)Instructions burned: 2 (million)
% 0.21/0.54  % (30659)------------------------------
% 0.21/0.54  % (30659)------------------------------
% 0.21/0.55  % (30658)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)
% 0.21/0.55  % (30675)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)
% 0.21/0.55  % (30675)Refutation not found, incomplete strategy% (30675)------------------------------
% 0.21/0.55  % (30675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (30675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (30675)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55  
% 0.21/0.55  % (30675)Memory used [KB]: 6012
% 0.21/0.55  % (30675)Time elapsed: 0.001 s
% 0.21/0.55  % (30675)------------------------------
% 0.21/0.55  % (30675)------------------------------
% 0.21/0.55  % (30658)Refutation not found, incomplete strategy% (30658)------------------------------
% 0.21/0.55  % (30658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (30658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (30658)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55  
% 0.21/0.55  % (30658)Memory used [KB]: 1535
% 0.21/0.55  % (30658)Time elapsed: 0.146 s
% 0.21/0.55  % (30658)Instructions burned: 2 (million)
% 0.21/0.55  % (30658)------------------------------
% 0.21/0.55  % (30658)------------------------------
% 0.21/0.55  % (30663)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.55  % (30663)Instruction limit reached!
% 0.21/0.55  % (30663)------------------------------
% 0.21/0.55  % (30663)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (30663)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (30663)Termination reason: Unknown
% 0.21/0.55  % (30663)Termination phase: Finite model building preprocessing
% 0.21/0.55  
% 0.21/0.55  % (30663)Memory used [KB]: 1535
% 0.21/0.55  % (30663)Time elapsed: 0.003 s
% 0.21/0.55  % (30663)Instructions burned: 3 (million)
% 0.21/0.55  % (30663)------------------------------
% 0.21/0.55  % (30663)------------------------------
% 0.21/0.55  % (30651)Refutation not found, incomplete strategy% (30651)------------------------------
% 0.21/0.55  % (30651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (30651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (30651)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55  
% 0.21/0.55  % (30651)Memory used [KB]: 1535
% 0.21/0.55  % (30651)Time elapsed: 0.002 s
% 0.21/0.55  % (30651)Instructions burned: 2 (million)
% 0.21/0.55  % (30651)------------------------------
% 0.21/0.55  % (30651)------------------------------
% 0.21/0.55  % (30673)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)
% 0.21/0.56  % (30667)Refutation not found, incomplete strategy% (30667)------------------------------
% 0.21/0.56  % (30667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (30667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (30667)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56  
% 0.21/0.56  % (30667)Memory used [KB]: 6012
% 0.21/0.56  % (30667)Time elapsed: 0.003 s
% 0.21/0.56  % (30667)Instructions burned: 2 (million)
% 0.21/0.56  % (30667)------------------------------
% 0.21/0.56  % (30667)------------------------------
% 0.21/0.56  % (30666)Refutation not found, incomplete strategy% (30666)------------------------------
% 0.21/0.56  % (30666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (30666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (30666)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56  
% 0.21/0.56  % (30666)Memory used [KB]: 6140
% 0.21/0.56  % (30666)Time elapsed: 0.157 s
% 0.21/0.56  % (30666)Instructions burned: 5 (million)
% 0.21/0.56  % (30666)------------------------------
% 0.21/0.56  % (30666)------------------------------
% 0.21/0.56  % (30673)First to succeed.
% 0.21/0.56  % (30653)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)
% 0.21/0.56  % (30653)Refutation not found, incomplete strategy% (30653)------------------------------
% 0.21/0.56  % (30653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (30653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (30653)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56  
% 0.21/0.56  % (30653)Memory used [KB]: 6012
% 0.21/0.56  % (30653)Time elapsed: 0.002 s
% 0.21/0.56  % (30653)Instructions burned: 2 (million)
% 0.21/0.56  % (30653)------------------------------
% 0.21/0.56  % (30653)------------------------------
% 0.21/0.56  % (30669)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)
% 0.21/0.57  % (30669)Refutation not found, incomplete strategy% (30669)------------------------------
% 0.21/0.57  % (30669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (30669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (30669)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57  
% 0.21/0.57  % (30669)Memory used [KB]: 1535
% 0.21/0.57  % (30669)Time elapsed: 0.002 s
% 0.21/0.57  % (30669)Instructions burned: 1 (million)
% 0.21/0.57  % (30669)------------------------------
% 0.21/0.57  % (30669)------------------------------
% 0.21/0.57  % (30657)Instruction limit reached!
% 0.21/0.57  % (30657)------------------------------
% 0.21/0.57  % (30657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (30657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (30657)Termination reason: Unknown
% 0.21/0.57  % (30657)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (30657)Memory used [KB]: 6140
% 0.21/0.57  % (30657)Time elapsed: 0.149 s
% 0.21/0.57  % (30657)Instructions burned: 7 (million)
% 0.21/0.57  % (30657)------------------------------
% 0.21/0.57  % (30657)------------------------------
% 1.66/0.58  % (30673)Refutation found. Thanks to Tanya!
% 1.66/0.58  % SZS status Theorem for theBenchmark
% 1.66/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.66/0.58  % (30673)------------------------------
% 1.66/0.58  % (30673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.58  % (30673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.58  % (30673)Termination reason: Refutation
% 1.66/0.58  
% 1.66/0.58  % (30673)Memory used [KB]: 6268
% 1.66/0.58  % (30673)Time elapsed: 0.159 s
% 1.66/0.58  % (30673)Instructions burned: 7 (million)
% 1.66/0.58  % (30673)------------------------------
% 1.66/0.58  % (30673)------------------------------
% 1.66/0.58  % (30645)Success in time 0.233 s
%------------------------------------------------------------------------------