TSTP Solution File: LCL544+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL544+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 : n009.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 17:43:04 EDT 2022

% Result   : Theorem 1.76s 0.63s
% Output   : Refutation 1.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   91 (  21 unt;   0 def)
%            Number of atoms       :  197 (   5 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  178 (  72   ~;  72   |;   3   &)
%                                         (  19 <=>;  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   :   66 (  64   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f565,plain,
    $false,
    inference(avatar_sat_refutation,[],[f252,f259,f273,f308,f364,f371,f442,f446,f466,f498,f502,f560,f564]) ).

fof(f564,plain,
    ~ spl1_2,
    inference(avatar_contradiction_clause,[],[f562]) ).

fof(f562,plain,
    ( $false
    | ~ spl1_2 ),
    inference(resolution,[],[f251,f201]) ).

fof(f201,plain,
    ~ axiom_m4,
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ~ axiom_m4,
    inference(flattening,[],[f90]) ).

fof(f90,negated_conjecture,
    ~ axiom_m4,
    inference(negated_conjecture,[],[f89]) ).

fof(f89,conjecture,
    axiom_m4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_axiom_m4) ).

fof(f251,plain,
    ( axiom_m4
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl1_2
  <=> axiom_m4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f560,plain,
    ( spl1_1
    | ~ spl1_3
    | ~ spl1_8
    | ~ spl1_18
    | ~ spl1_34
    | ~ spl1_35 ),
    inference(avatar_contradiction_clause,[],[f558]) ).

fof(f558,plain,
    ( $false
    | spl1_1
    | ~ spl1_3
    | ~ spl1_8
    | ~ spl1_18
    | ~ spl1_34
    | ~ spl1_35 ),
    inference(unit_resulting_resolution,[],[f307,f255,f552,f363]) ).

fof(f363,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0)
        | is_a_theorem(X1) )
    | ~ spl1_34 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f362,plain,
    ( spl1_34
  <=> ! [X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(X1)
        | ~ is_a_theorem(implies(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_34])]) ).

fof(f552,plain,
    ( ~ is_a_theorem(implies(sK0,and(sK0,sK0)))
    | spl1_1
    | ~ spl1_8
    | ~ spl1_35 ),
    inference(resolution,[],[f549,f272]) ).

fof(f272,plain,
    ( ! [X0] :
        ( is_a_theorem(necessarily(X0))
        | ~ is_a_theorem(X0) )
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f271,plain,
    ( spl1_8
  <=> ! [X0] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(necessarily(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).

fof(f549,plain,
    ( ~ is_a_theorem(necessarily(implies(sK0,and(sK0,sK0))))
    | spl1_1
    | ~ spl1_35 ),
    inference(backward_demodulation,[],[f248,f367]) ).

fof(f367,plain,
    ( ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1))
    | ~ spl1_35 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f366,plain,
    ( spl1_35
  <=> ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_35])]) ).

fof(f248,plain,
    ( ~ is_a_theorem(strict_implies(sK0,and(sK0,sK0)))
    | spl1_1 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f247,plain,
    ( spl1_1
  <=> is_a_theorem(strict_implies(sK0,and(sK0,sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f255,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl1_3
  <=> ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f307,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
    | ~ spl1_18 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f306,plain,
    ( spl1_18
  <=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).

fof(f502,plain,
    spl1_36,
    inference(avatar_contradiction_clause,[],[f500]) ).

fof(f500,plain,
    ( $false
    | spl1_36 ),
    inference(resolution,[],[f370,f199]) ).

fof(f199,plain,
    op_strict_implies,
    inference(cnf_transformation,[],[f86]) ).

fof(f86,axiom,
    op_strict_implies,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_strict_implies) ).

fof(f370,plain,
    ( ~ op_strict_implies
    | spl1_36 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f369,plain,
    ( spl1_36
  <=> op_strict_implies ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_36])]) ).

fof(f498,plain,
    spl1_33,
    inference(avatar_contradiction_clause,[],[f495]) ).

fof(f495,plain,
    ( $false
    | spl1_33 ),
    inference(unit_resulting_resolution,[],[f223,f360]) ).

fof(f360,plain,
    ( ~ modus_ponens
    | spl1_33 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f359,plain,
    ( spl1_33
  <=> modus_ponens ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_33])]) ).

fof(f223,plain,
    modus_ponens,
    inference(cnf_transformation,[],[f35]) ).

fof(f35,axiom,
    modus_ponens,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_modus_ponens) ).

fof(f466,plain,
    spl1_17,
    inference(avatar_contradiction_clause,[],[f464]) ).

fof(f464,plain,
    ( $false
    | spl1_17 ),
    inference(resolution,[],[f304,f206]) ).

fof(f206,plain,
    and_3,
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    and_3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_3) ).

fof(f304,plain,
    ( ~ and_3
    | spl1_17 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f303,plain,
    ( spl1_17
  <=> and_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).

fof(f446,plain,
    spl1_7,
    inference(avatar_contradiction_clause,[],[f444]) ).

fof(f444,plain,
    ( $false
    | spl1_7 ),
    inference(resolution,[],[f269,f226]) ).

fof(f226,plain,
    necessitation,
    inference(cnf_transformation,[],[f78]) ).

fof(f78,axiom,
    necessitation,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km4b_necessitation) ).

fof(f269,plain,
    ( ~ necessitation
    | spl1_7 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f268,plain,
    ( spl1_7
  <=> necessitation ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).

fof(f442,plain,
    spl1_4,
    inference(avatar_contradiction_clause,[],[f439]) ).

fof(f439,plain,
    ( $false
    | spl1_4 ),
    inference(unit_resulting_resolution,[],[f196,f258]) ).

fof(f258,plain,
    ( ~ implies_2
    | spl1_4 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl1_4
  <=> implies_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f196,plain,
    implies_2,
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    implies_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_implies_2) ).

fof(f371,plain,
    ( spl1_35
    | ~ spl1_36 ),
    inference(avatar_split_clause,[],[f224,f369,f366]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( ~ op_strict_implies
      | strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ( ~ op_strict_implies
    | ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,axiom,
    ( op_strict_implies
   => ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_strict_implies) ).

fof(f364,plain,
    ( ~ spl1_33
    | spl1_34 ),
    inference(avatar_split_clause,[],[f191,f362,f359]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X0)
      | ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1)
      | ~ modus_ponens ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0) )
    | ~ modus_ponens ),
    inference(rectify,[],[f165]) ).

fof(f165,plain,
    ( ! [X1,X0] :
        ( is_a_theorem(X0)
        | ~ is_a_theorem(implies(X1,X0))
        | ~ is_a_theorem(X1) )
    | ~ modus_ponens ),
    inference(flattening,[],[f164]) ).

fof(f164,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X0)
        | ~ is_a_theorem(implies(X1,X0))
        | ~ is_a_theorem(X1) )
    | ~ modus_ponens ),
    inference(ennf_transformation,[],[f141]) ).

fof(f141,plain,
    ( modus_ponens
   => ! [X0,X1] :
        ( ( is_a_theorem(implies(X1,X0))
          & is_a_theorem(X1) )
       => is_a_theorem(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f95]) ).

fof(f95,plain,
    ( modus_ponens
  <=> ! [X0,X1] :
        ( ( is_a_theorem(implies(X1,X0))
          & is_a_theorem(X1) )
       => is_a_theorem(X0) ) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ( ! [X1,X0] :
        ( ( is_a_theorem(X0)
          & is_a_theorem(implies(X0,X1)) )
       => is_a_theorem(X1) )
  <=> modus_ponens ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modus_ponens) ).

fof(f308,plain,
    ( ~ spl1_17
    | spl1_18 ),
    inference(avatar_split_clause,[],[f205,f306,f303]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
      | ~ and_3 ),
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
    | ~ and_3 ),
    inference(rectify,[],[f172]) ).

fof(f172,plain,
    ( ! [X1,X0] : is_a_theorem(implies(X1,implies(X0,and(X1,X0))))
    | ~ and_3 ),
    inference(ennf_transformation,[],[f133]) ).

fof(f133,plain,
    ( and_3
   => ! [X1,X0] : is_a_theorem(implies(X1,implies(X0,and(X1,X0)))) ),
    inference(unused_predicate_definition_removal,[],[f101]) ).

fof(f101,plain,
    ( and_3
  <=> ! [X1,X0] : is_a_theorem(implies(X1,implies(X0,and(X1,X0)))) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ( ! [X1,X0] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
  <=> and_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_3) ).

fof(f273,plain,
    ( ~ spl1_7
    | spl1_8 ),
    inference(avatar_split_clause,[],[f235,f271,f268]) ).

fof(f235,plain,
    ! [X0] :
      ( ~ is_a_theorem(X0)
      | ~ necessitation
      | is_a_theorem(necessarily(X0)) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ( ~ necessitation
    | ! [X0] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(necessarily(X0)) ) ),
    inference(ennf_transformation,[],[f126]) ).

fof(f126,plain,
    ( necessitation
   => ! [X0] :
        ( is_a_theorem(X0)
       => is_a_theorem(necessarily(X0)) ) ),
    inference(unused_predicate_definition_removal,[],[f50]) ).

fof(f50,axiom,
    ( ! [X0] :
        ( is_a_theorem(X0)
       => is_a_theorem(necessarily(X0)) )
  <=> necessitation ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',necessitation) ).

fof(f259,plain,
    ( spl1_3
    | ~ spl1_4 ),
    inference(avatar_split_clause,[],[f192,f257,f254]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( ~ implies_2
      | is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f167,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
    | ~ implies_2 ),
    inference(ennf_transformation,[],[f137]) ).

fof(f137,plain,
    ( implies_2
   => ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f5]) ).

fof(f5,axiom,
    ( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
  <=> implies_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_2) ).

fof(f252,plain,
    ( ~ spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f204,f250,f247]) ).

fof(f204,plain,
    ( axiom_m4
    | ~ is_a_theorem(strict_implies(sK0,and(sK0,sK0))) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f178,plain,
    ( ~ is_a_theorem(strict_implies(sK0,and(sK0,sK0)))
    | axiom_m4 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f162,f177]) ).

fof(f177,plain,
    ( ? [X0] : ~ is_a_theorem(strict_implies(X0,and(X0,X0)))
   => ~ is_a_theorem(strict_implies(sK0,and(sK0,sK0))) ),
    introduced(choice_axiom,[]) ).

fof(f162,plain,
    ( ? [X0] : ~ is_a_theorem(strict_implies(X0,and(X0,X0)))
    | axiom_m4 ),
    inference(ennf_transformation,[],[f121]) ).

fof(f121,plain,
    ( ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0)))
   => axiom_m4 ),
    inference(unused_predicate_definition_removal,[],[f66]) ).

fof(f66,axiom,
    ( axiom_m4
  <=> ! [X0] : is_a_theorem(strict_implies(X0,and(X0,X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_m4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL544+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
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 02:04:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.53  % (29730)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)
% 0.19/0.53  % (29730)Instruction limit reached!
% 0.19/0.53  % (29730)------------------------------
% 0.19/0.53  % (29730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (29739)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)
% 0.19/0.53  % (29722)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)
% 0.19/0.53  % (29731)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)
% 0.19/0.53  % (29739)Refutation not found, incomplete strategy% (29739)------------------------------
% 0.19/0.53  % (29739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (29739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (29739)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (29739)Memory used [KB]: 1535
% 0.19/0.54  % (29739)Time elapsed: 0.007 s
% 0.19/0.54  % (29739)Instructions burned: 2 (million)
% 0.19/0.54  % (29739)------------------------------
% 0.19/0.54  % (29739)------------------------------
% 0.19/0.54  % (29738)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)
% 0.19/0.54  % (29730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (29730)Termination reason: Unknown
% 0.19/0.54  % (29730)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (29730)Memory used [KB]: 6012
% 0.19/0.54  % (29730)Time elapsed: 0.004 s
% 0.19/0.54  % (29730)Instructions burned: 3 (million)
% 0.19/0.54  % (29730)------------------------------
% 0.19/0.54  % (29730)------------------------------
% 0.19/0.54  % (29722)Refutation not found, incomplete strategy% (29722)------------------------------
% 0.19/0.54  % (29722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (29722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (29722)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (29722)Memory used [KB]: 6012
% 0.19/0.54  % (29722)Time elapsed: 0.003 s
% 0.19/0.54  % (29722)Instructions burned: 1 (million)
% 0.19/0.54  % (29722)------------------------------
% 0.19/0.54  % (29722)------------------------------
% 0.19/0.54  % (29723)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)
% 0.19/0.54  % (29723)Refutation not found, incomplete strategy% (29723)------------------------------
% 0.19/0.54  % (29723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (29723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (29723)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (29723)Memory used [KB]: 6012
% 0.19/0.54  % (29723)Time elapsed: 0.003 s
% 0.19/0.54  % (29723)Instructions burned: 2 (million)
% 0.19/0.54  % (29723)------------------------------
% 0.19/0.54  % (29723)------------------------------
% 0.19/0.55  % (29731)Instruction limit reached!
% 0.19/0.55  % (29731)------------------------------
% 0.19/0.55  % (29731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (29731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (29731)Termination reason: Unknown
% 0.19/0.55  % (29731)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (29731)Memory used [KB]: 6268
% 0.19/0.55  % (29731)Time elapsed: 0.080 s
% 0.19/0.55  % (29731)Instructions burned: 7 (million)
% 0.19/0.55  % (29731)------------------------------
% 0.19/0.55  % (29731)------------------------------
% 0.19/0.55  % (29718)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)
% 0.19/0.55  % (29718)Instruction limit reached!
% 0.19/0.55  % (29718)------------------------------
% 0.19/0.55  % (29718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (29718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (29718)Termination reason: Unknown
% 0.19/0.55  % (29718)Termination phase: Property scanning
% 0.19/0.55  
% 0.19/0.55  % (29718)Memory used [KB]: 1535
% 0.19/0.55  % (29718)Time elapsed: 0.003 s
% 0.19/0.55  % (29718)Instructions burned: 3 (million)
% 0.19/0.55  % (29718)------------------------------
% 0.19/0.55  % (29718)------------------------------
% 0.19/0.55  % (29728)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)
% 1.62/0.56  % (29728)Refutation not found, incomplete strategy% (29728)------------------------------
% 1.62/0.56  % (29728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.56  % (29728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.56  % (29728)Termination reason: Refutation not found, incomplete strategy
% 1.62/0.56  
% 1.62/0.56  % (29734)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)
% 1.62/0.56  % (29734)Refutation not found, incomplete strategy% (29734)------------------------------
% 1.62/0.56  % (29734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.56  % (29734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.56  % (29734)Termination reason: Refutation not found, incomplete strategy
% 1.62/0.56  
% 1.62/0.56  % (29734)Memory used [KB]: 6012
% 1.62/0.56  % (29734)Time elapsed: 0.002 s
% 1.62/0.56  % (29734)------------------------------
% 1.62/0.56  % (29734)------------------------------
% 1.62/0.56  % (29742)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)
% 1.62/0.56  % (29720)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)
% 1.62/0.57  % (29744)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)
% 1.62/0.57  % (29720)Refutation not found, incomplete strategy% (29720)------------------------------
% 1.62/0.57  % (29720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57  % (29736)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)
% 1.62/0.57  % (29720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57  % (29720)Termination reason: Refutation not found, incomplete strategy
% 1.62/0.57  
% 1.62/0.57  % (29720)Memory used [KB]: 6012
% 1.62/0.57  % (29720)Time elapsed: 0.003 s
% 1.62/0.57  % (29720)Instructions burned: 1 (million)
% 1.62/0.57  % (29720)------------------------------
% 1.62/0.57  % (29720)------------------------------
% 1.62/0.57  % (29736)Refutation not found, incomplete strategy% (29736)------------------------------
% 1.62/0.57  % (29736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57  % (29728)Memory used [KB]: 1663
% 1.62/0.57  % (29728)Time elapsed: 0.155 s
% 1.62/0.57  % (29728)Instructions burned: 2 (million)
% 1.62/0.57  % (29728)------------------------------
% 1.62/0.57  % (29728)------------------------------
% 1.76/0.57  % (29744)Refutation not found, incomplete strategy% (29744)------------------------------
% 1.76/0.57  % (29744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.58  % (29736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.58  % (29736)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.58  
% 1.76/0.58  % (29736)Memory used [KB]: 6140
% 1.76/0.58  % (29736)Time elapsed: 0.165 s
% 1.76/0.58  % (29736)Instructions burned: 4 (million)
% 1.76/0.58  % (29736)------------------------------
% 1.76/0.58  % (29736)------------------------------
% 1.76/0.58  % (29744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.58  % (29744)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.58  
% 1.76/0.58  % (29744)Memory used [KB]: 6012
% 1.76/0.58  % (29744)Time elapsed: 0.173 s
% 1.76/0.58  % (29744)Instructions burned: 3 (million)
% 1.76/0.58  % (29744)------------------------------
% 1.76/0.58  % (29744)------------------------------
% 1.76/0.58  % (29719)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)
% 1.76/0.59  % (29721)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)
% 1.76/0.59  % (29740)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)
% 1.76/0.59  % (29729)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)
% 1.76/0.59  % (29729)Refutation not found, incomplete strategy% (29729)------------------------------
% 1.76/0.59  % (29729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.59  % (29729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.59  % (29729)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.59  
% 1.76/0.59  % (29729)Memory used [KB]: 6012
% 1.76/0.59  % (29729)Time elapsed: 0.005 s
% 1.76/0.59  % (29729)Instructions burned: 2 (million)
% 1.76/0.59  % (29729)------------------------------
% 1.76/0.59  % (29729)------------------------------
% 1.76/0.59  % (29743)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)
% 1.76/0.59  % (29716)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.76/0.59  % (29726)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)
% 1.76/0.59  % (29726)Refutation not found, incomplete strategy% (29726)------------------------------
% 1.76/0.59  % (29726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.59  % (29726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.59  % (29726)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.59  
% 1.76/0.59  % (29726)Memory used [KB]: 6012
% 1.76/0.59  % (29726)Time elapsed: 0.004 s
% 1.76/0.59  % (29726)Instructions burned: 1 (million)
% 1.76/0.59  % (29726)------------------------------
% 1.76/0.59  % (29726)------------------------------
% 1.76/0.59  % (29735)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)
% 1.76/0.59  % (29732)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)
% 1.76/0.59  % (29745)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)
% 1.76/0.59  % (29721)Refutation not found, incomplete strategy% (29721)------------------------------
% 1.76/0.59  % (29721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (29727)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)
% 1.76/0.60  % (29721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (29721)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.60  
% 1.76/0.60  % (29721)Memory used [KB]: 1535
% 1.76/0.60  % (29721)Time elapsed: 0.005 s
% 1.76/0.60  % (29721)Instructions burned: 2 (million)
% 1.76/0.60  % (29721)------------------------------
% 1.76/0.60  % (29721)------------------------------
% 1.76/0.60  % (29717)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)
% 1.76/0.60  % (29717)Refutation not found, incomplete strategy% (29717)------------------------------
% 1.76/0.60  % (29717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (29717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (29717)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.60  
% 1.76/0.60  % (29717)Memory used [KB]: 6012
% 1.76/0.60  % (29717)Time elapsed: 0.003 s
% 1.76/0.60  % (29717)Instructions burned: 2 (million)
% 1.76/0.60  % (29717)------------------------------
% 1.76/0.60  % (29717)------------------------------
% 1.76/0.60  % (29745)Refutation not found, incomplete strategy% (29745)------------------------------
% 1.76/0.60  % (29745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (29719)Refutation not found, incomplete strategy% (29719)------------------------------
% 1.76/0.60  % (29719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (29719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (29719)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.60  
% 1.76/0.60  % (29719)Memory used [KB]: 6012
% 1.76/0.60  % (29719)Time elapsed: 0.002 s
% 1.76/0.60  % (29719)Instructions burned: 1 (million)
% 1.76/0.60  % (29719)------------------------------
% 1.76/0.60  % (29719)------------------------------
% 1.76/0.60  % (29737)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)
% 1.76/0.60  % (29745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (29745)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.60  
% 1.76/0.60  % (29745)Memory used [KB]: 6012
% 1.76/0.60  % (29745)Time elapsed: 0.005 s
% 1.76/0.60  % (29745)Instructions burned: 1 (million)
% 1.76/0.60  % (29745)------------------------------
% 1.76/0.60  % (29745)------------------------------
% 1.76/0.60  % (29735)Refutation not found, incomplete strategy% (29735)------------------------------
% 1.76/0.60  % (29735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (29735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (29735)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.60  
% 1.76/0.60  % (29735)Memory used [KB]: 6012
% 1.76/0.60  % (29735)Time elapsed: 0.004 s
% 1.76/0.60  % (29735)Instructions burned: 2 (million)
% 1.76/0.60  % (29735)------------------------------
% 1.76/0.60  % (29735)------------------------------
% 1.76/0.60  % (29737)Refutation not found, incomplete strategy% (29737)------------------------------
% 1.76/0.60  % (29737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (29737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (29737)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.60  
% 1.76/0.60  % (29737)Memory used [KB]: 6012
% 1.76/0.60  % (29737)Time elapsed: 0.006 s
% 1.76/0.60  % (29737)Instructions burned: 2 (million)
% 1.76/0.60  % (29737)------------------------------
% 1.76/0.60  % (29737)------------------------------
% 1.76/0.60  % (29724)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)
% 1.76/0.61  % (29724)Refutation not found, incomplete strategy% (29724)------------------------------
% 1.76/0.61  % (29724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61  % (29724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61  % (29724)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.61  
% 1.76/0.61  % (29724)Memory used [KB]: 6012
% 1.76/0.61  % (29724)Time elapsed: 0.002 s
% 1.76/0.61  % (29724)Instructions burned: 2 (million)
% 1.76/0.61  % (29724)------------------------------
% 1.76/0.61  % (29724)------------------------------
% 1.76/0.61  % (29741)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)
% 1.76/0.61  % (29732)Refutation not found, incomplete strategy% (29732)------------------------------
% 1.76/0.61  % (29732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61  % (29732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61  % (29732)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.61  
% 1.76/0.61  % (29732)Memory used [KB]: 6140
% 1.76/0.61  % (29732)Time elapsed: 0.190 s
% 1.76/0.61  % (29732)Instructions burned: 3 (million)
% 1.76/0.61  % (29732)------------------------------
% 1.76/0.61  % (29732)------------------------------
% 1.76/0.61  % (29743)First to succeed.
% 1.76/0.61  % (29725)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)
% 1.76/0.61  % (29725)Refutation not found, incomplete strategy% (29725)------------------------------
% 1.76/0.61  % (29725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61  % (29725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61  % (29725)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.61  
% 1.76/0.61  % (29725)Memory used [KB]: 6012
% 1.76/0.61  % (29725)Time elapsed: 0.002 s
% 1.76/0.61  % (29725)Instructions burned: 2 (million)
% 1.76/0.61  % (29725)------------------------------
% 1.76/0.61  % (29725)------------------------------
% 1.76/0.61  % (29727)Instruction limit reached!
% 1.76/0.61  % (29727)------------------------------
% 1.76/0.61  % (29727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61  % (29727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61  % (29727)Termination reason: Unknown
% 1.76/0.61  % (29727)Termination phase: Saturation
% 1.76/0.61  
% 1.76/0.61  % (29727)Memory used [KB]: 6140
% 1.76/0.61  % (29727)Time elapsed: 0.186 s
% 1.76/0.61  % (29727)Instructions burned: 8 (million)
% 1.76/0.61  % (29727)------------------------------
% 1.76/0.61  % (29727)------------------------------
% 1.76/0.62  % (29733)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.76/0.62  % (29733)Instruction limit reached!
% 1.76/0.62  % (29733)------------------------------
% 1.76/0.62  % (29733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.62  % (29733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.62  % (29733)Termination reason: Unknown
% 1.76/0.62  % (29733)Termination phase: Finite model building preprocessing
% 1.76/0.62  
% 1.76/0.62  % (29733)Memory used [KB]: 1535
% 1.76/0.62  % (29733)Time elapsed: 0.004 s
% 1.76/0.62  % (29733)Instructions burned: 3 (million)
% 1.76/0.62  % (29733)------------------------------
% 1.76/0.62  % (29733)------------------------------
% 1.76/0.63  % (29743)Refutation found. Thanks to Tanya!
% 1.76/0.63  % SZS status Theorem for theBenchmark
% 1.76/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 1.76/0.63  % (29743)------------------------------
% 1.76/0.63  % (29743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.63  % (29743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.63  % (29743)Termination reason: Refutation
% 1.76/0.63  
% 1.76/0.63  % (29743)Memory used [KB]: 6268
% 1.76/0.63  % (29743)Time elapsed: 0.195 s
% 1.76/0.63  % (29743)Instructions burned: 8 (million)
% 1.76/0.63  % (29743)------------------------------
% 1.76/0.63  % (29743)------------------------------
% 1.76/0.63  % (29712)Success in time 0.267 s
%------------------------------------------------------------------------------