TSTP Solution File: SEU187+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU187+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_sat --cores 0 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:32:24 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   83 (  15 unt;   0 def)
%            Number of atoms       :  249 (  52 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  262 (  96   ~; 115   |;  27   &)
%                                         (  12 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   3 con; 0-2 aty)
%            Number of variables   :  145 ( 117   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f366,plain,
    $false,
    inference(avatar_sat_refutation,[],[f147,f270,f281,f291,f365]) ).

fof(f365,plain,
    spl14_2,
    inference(avatar_contradiction_clause,[],[f364]) ).

fof(f364,plain,
    ( $false
    | spl14_2 ),
    inference(subsumption_resolution,[],[f363,f146]) ).

fof(f146,plain,
    ( empty_set != sF13
    | spl14_2 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f144,plain,
    ( spl14_2
  <=> empty_set = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f363,plain,
    empty_set = sF13,
    inference(resolution,[],[f358,f97]) ).

fof(f97,plain,
    empty(empty_set),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,axiom,
    ( empty(empty_set)
    & relation(empty_set) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).

fof(f358,plain,
    ! [X2] :
      ( ~ empty(X2)
      | sF13 = X2 ),
    inference(resolution,[],[f355,f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ~ ( empty(X0)
        & in(X1,X0) ),
    inference(rectify,[],[f32]) ).

fof(f32,axiom,
    ! [X1,X0] :
      ~ ( empty(X1)
        & in(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).

fof(f355,plain,
    ! [X4] :
      ( in(sK6(empty_set,X4),X4)
      | sF13 = X4 ),
    inference(subsumption_resolution,[],[f352,f97]) ).

fof(f352,plain,
    ! [X4] :
      ( in(sK6(empty_set,X4),X4)
      | sF13 = X4
      | ~ empty(empty_set) ),
    inference(resolution,[],[f330,f117]) ).

fof(f330,plain,
    ! [X0] :
      ( in(unordered_pair(singleton(sK7(empty_set,X0)),unordered_pair(sK6(empty_set,X0),sK7(empty_set,X0))),empty_set)
      | sF13 = X0
      | in(sK6(empty_set,X0),X0) ),
    inference(forward_demodulation,[],[f328,f132]) ).

fof(f132,plain,
    relation_rng(empty_set) = sF13,
    introduced(function_definition,[]) ).

fof(f328,plain,
    ! [X0] :
      ( in(sK6(empty_set,X0),X0)
      | in(unordered_pair(singleton(sK7(empty_set,X0)),unordered_pair(sK6(empty_set,X0),sK7(empty_set,X0))),empty_set)
      | relation_rng(empty_set) = X0 ),
    inference(resolution,[],[f149,f96]) ).

fof(f96,plain,
    relation(empty_set),
    inference(cnf_transformation,[],[f19]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | relation_rng(X0) = X1
      | in(unordered_pair(singleton(sK7(X0,X1)),unordered_pair(sK6(X0,X1),sK7(X0,X1))),X0)
      | in(sK6(X0,X1),X1) ),
    inference(forward_demodulation,[],[f148,f88]) ).

fof(f88,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).

fof(f148,plain,
    ! [X0,X1] :
      ( in(sK6(X0,X1),X1)
      | relation_rng(X0) = X1
      | in(unordered_pair(singleton(sK7(X0,X1)),unordered_pair(sK7(X0,X1),sK6(X0,X1))),X0)
      | ~ relation(X0) ),
    inference(forward_demodulation,[],[f121,f88]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( in(unordered_pair(unordered_pair(sK7(X0,X1),sK6(X0,X1)),singleton(sK7(X0,X1))),X0)
      | relation_rng(X0) = X1
      | ~ relation(X0)
      | in(sK6(X0,X1),X1) ),
    inference(definition_unfolding,[],[f99,f94]) ).

fof(f94,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).

fof(f99,plain,
    ! [X0,X1] :
      ( relation_rng(X0) = X1
      | in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X0)
      | in(sK6(X0,X1),X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
                & ( in(ordered_pair(sK5(X0,X2),X2),X0)
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ( ( ! [X6] : ~ in(ordered_pair(X6,sK6(X0,X1)),X0)
                | ~ in(sK6(X0,X1),X1) )
              & ( in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X0)
                | in(sK6(X0,X1),X1) ) ) ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f68,f71,f70,f69]) ).

fof(f69,plain,
    ! [X0,X2] :
      ( ? [X4] : in(ordered_pair(X4,X2),X0)
     => in(ordered_pair(sK5(X0,X2),X2),X0) ),
    introduced(choice_axiom,[]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
            | ~ in(X5,X1) )
          & ( ? [X7] : in(ordered_pair(X7,X5),X0)
            | in(X5,X1) ) )
     => ( ( ! [X6] : ~ in(ordered_pair(X6,sK6(X0,X1)),X0)
          | ~ in(sK6(X0,X1),X1) )
        & ( ? [X7] : in(ordered_pair(X7,sK6(X0,X1)),X0)
          | in(sK6(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ? [X7] : in(ordered_pair(X7,sK6(X0,X1)),X0)
     => in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f68,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
                & ( ? [X4] : in(ordered_pair(X4,X2),X0)
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ? [X5] :
                ( ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
                  | ~ in(X5,X1) )
                & ( ? [X7] : in(ordered_pair(X7,X5),X0)
                  | in(X5,X1) ) ) ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 )
          & ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | in(X2,X1) ) ) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) )
        <=> relation_rng(X0) = X1 )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) )
        <=> relation_rng(X0) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).

fof(f291,plain,
    ~ spl14_4,
    inference(avatar_contradiction_clause,[],[f290]) ).

fof(f290,plain,
    ( $false
    | ~ spl14_4 ),
    inference(subsumption_resolution,[],[f289,f97]) ).

fof(f289,plain,
    ( ~ empty(empty_set)
    | ~ spl14_4 ),
    inference(resolution,[],[f269,f117]) ).

fof(f269,plain,
    ( in(unordered_pair(singleton(sK4(sF12)),unordered_pair(sK4(sF12),sK8(empty_set,sK4(sF12)))),empty_set)
    | ~ spl14_4 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f267,plain,
    ( spl14_4
  <=> in(unordered_pair(singleton(sK4(sF12)),unordered_pair(sK4(sF12),sK8(empty_set,sK4(sF12)))),empty_set) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).

fof(f281,plain,
    ( spl14_1
    | ~ spl14_3 ),
    inference(avatar_contradiction_clause,[],[f280]) ).

fof(f280,plain,
    ( $false
    | spl14_1
    | ~ spl14_3 ),
    inference(subsumption_resolution,[],[f274,f142]) ).

fof(f142,plain,
    ( empty_set != sF12
    | spl14_1 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f140,plain,
    ( spl14_1
  <=> empty_set = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f274,plain,
    ( empty_set = sF12
    | ~ spl14_3 ),
    inference(resolution,[],[f265,f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = X0 ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0] :
      ( empty(X0)
     => empty_set = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).

fof(f265,plain,
    ( empty(sF12)
    | ~ spl14_3 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f263,plain,
    ( spl14_3
  <=> empty(sF12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).

fof(f270,plain,
    ( spl14_3
    | spl14_4 ),
    inference(avatar_split_clause,[],[f255,f267,f263]) ).

fof(f255,plain,
    ( in(unordered_pair(singleton(sK4(sF12)),unordered_pair(sK4(sF12),sK8(empty_set,sK4(sF12)))),empty_set)
    | empty(sF12) ),
    inference(resolution,[],[f190,f173]) ).

fof(f173,plain,
    ! [X0] :
      ( in(sK4(X0),X0)
      | empty(X0) ),
    inference(resolution,[],[f85,f98]) ).

fof(f98,plain,
    ! [X0] : element(sK4(X0),X0),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0] : element(sK4(X0),X0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f14,f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ? [X1] : element(X1,X0)
     => element(sK4(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f14,axiom,
    ! [X0] :
    ? [X1] : element(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ~ element(X1,X0)
      | empty(X0)
      | in(X1,X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ element(X1,X0)
      | empty(X0)
      | in(X1,X0) ),
    inference(flattening,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( empty(X0)
      | in(X1,X0)
      | ~ element(X1,X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( element(X1,X0)
     => ( empty(X0)
        | in(X1,X0) ) ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X1,X0] :
      ( element(X0,X1)
     => ( empty(X1)
        | in(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

fof(f190,plain,
    ! [X0] :
      ( ~ in(X0,sF12)
      | in(unordered_pair(singleton(X0),unordered_pair(X0,sK8(empty_set,X0))),empty_set) ),
    inference(subsumption_resolution,[],[f189,f96]) ).

fof(f189,plain,
    ! [X0] :
      ( ~ in(X0,sF12)
      | in(unordered_pair(singleton(X0),unordered_pair(X0,sK8(empty_set,X0))),empty_set)
      | ~ relation(empty_set) ),
    inference(superposition,[],[f136,f131]) ).

fof(f131,plain,
    relation_dom(empty_set) = sF12,
    introduced(function_definition,[]) ).

fof(f136,plain,
    ! [X2,X0] :
      ( ~ in(X2,relation_dom(X0))
      | ~ relation(X0)
      | in(unordered_pair(singleton(X2),unordered_pair(X2,sK8(X0,X2))),X0) ),
    inference(forward_demodulation,[],[f129,f88]) ).

fof(f129,plain,
    ! [X2,X0] :
      ( in(unordered_pair(unordered_pair(X2,sK8(X0,X2)),singleton(X2)),X0)
      | ~ in(X2,relation_dom(X0))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f122]) ).

fof(f122,plain,
    ! [X2,X0,X1] :
      ( in(unordered_pair(unordered_pair(X2,sK8(X0,X2)),singleton(X2)),X0)
      | ~ in(X2,X1)
      | relation_dom(X0) != X1
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f107,f94]) ).

fof(f107,plain,
    ! [X2,X0,X1] :
      ( in(ordered_pair(X2,sK8(X0,X2)),X0)
      | ~ in(X2,X1)
      | relation_dom(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ( in(ordered_pair(X2,sK8(X0,X2)),X0)
                  | ~ in(X2,X1) )
                & ( in(X2,X1)
                  | ! [X4] : ~ in(ordered_pair(X2,X4),X0) ) )
            | relation_dom(X0) != X1 )
          & ( relation_dom(X0) = X1
            | ( ( ~ in(sK9(X0,X1),X1)
                | ! [X6] : ~ in(ordered_pair(sK9(X0,X1),X6),X0) )
              & ( in(sK9(X0,X1),X1)
                | in(ordered_pair(sK9(X0,X1),sK10(X0,X1)),X0) ) ) ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f74,f77,f76,f75]) ).

fof(f75,plain,
    ! [X0,X2] :
      ( ? [X3] : in(ordered_pair(X2,X3),X0)
     => in(ordered_pair(X2,sK8(X0,X2)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( ( ~ in(X5,X1)
            | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
          & ( in(X5,X1)
            | ? [X7] : in(ordered_pair(X5,X7),X0) ) )
     => ( ( ~ in(sK9(X0,X1),X1)
          | ! [X6] : ~ in(ordered_pair(sK9(X0,X1),X6),X0) )
        & ( in(sK9(X0,X1),X1)
          | ? [X7] : in(ordered_pair(sK9(X0,X1),X7),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ? [X7] : in(ordered_pair(sK9(X0,X1),X7),X0)
     => in(ordered_pair(sK9(X0,X1),sK10(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f74,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( in(X2,X1)
                  | ! [X4] : ~ in(ordered_pair(X2,X4),X0) ) )
            | relation_dom(X0) != X1 )
          & ( relation_dom(X0) = X1
            | ? [X5] :
                ( ( ~ in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
                & ( in(X5,X1)
                  | ? [X7] : in(ordered_pair(X5,X7),X0) ) ) ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) ) )
            | relation_dom(X0) != X1 )
          & ( relation_dom(X0) = X1
            | ? [X2] :
                ( ( ~ in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
                & ( in(X2,X1)
                  | ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ? [X3] : in(ordered_pair(X2,X3),X0)
            <=> in(X2,X1) )
        <=> relation_dom(X0) = X1 )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( ! [X2] :
              ( ? [X3] : in(ordered_pair(X2,X3),X0)
            <=> in(X2,X1) )
        <=> relation_dom(X0) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).

fof(f147,plain,
    ( ~ spl14_1
    | ~ spl14_2 ),
    inference(avatar_split_clause,[],[f133,f144,f140]) ).

fof(f133,plain,
    ( empty_set != sF13
    | empty_set != sF12 ),
    inference(definition_folding,[],[f111,f132,f131]) ).

fof(f111,plain,
    ( empty_set != relation_dom(empty_set)
    | empty_set != relation_rng(empty_set) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ( empty_set != relation_dom(empty_set)
    | empty_set != relation_rng(empty_set) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ( empty_set = relation_rng(empty_set)
      & empty_set = relation_dom(empty_set) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ( empty_set = relation_rng(empty_set)
    & empty_set = relation_dom(empty_set) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_relat_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SEU187+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.31  % Computer : n013.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Aug 30 14:44:17 EDT 2022
% 0.12/0.32  % CPUTime    : 
% 0.18/0.44  % (16165)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.48  % (16165)First to succeed.
% 0.18/0.49  % (16188)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.50  % (16166)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.50  % (16165)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Theorem for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (16165)------------------------------
% 0.18/0.50  % (16165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (16165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (16165)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (16165)Memory used [KB]: 5628
% 0.18/0.50  % (16165)Time elapsed: 0.136 s
% 0.18/0.50  % (16165)Instructions burned: 15 (million)
% 0.18/0.50  % (16165)------------------------------
% 0.18/0.50  % (16165)------------------------------
% 0.18/0.50  % (16160)Success in time 0.179 s
%------------------------------------------------------------------------------