TSTP Solution File: SEU183+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU183+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 : n027.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 18:32:23 EDT 2022

% Result   : Theorem 3.10s 0.84s
% Output   : Refutation 3.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   80 (  17 unt;   0 def)
%            Number of atoms       :  320 (  32 equ)
%            Maximal formula atoms :   17 (   4 avg)
%            Number of connectives :  396 ( 156   ~; 154   |;  56   &)
%                                         (  10 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   5 con; 0-4 aty)
%            Number of variables   :  228 ( 190   !;  38   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2319,plain,
    $false,
    inference(subsumption_resolution,[],[f2318,f164]) ).

fof(f164,plain,
    ~ subset(sF17,sF18),
    inference(definition_folding,[],[f122,f163,f162,f161]) ).

fof(f161,plain,
    relation_composition(sK7,sK8) = sF16,
    introduced(function_definition,[]) ).

fof(f162,plain,
    relation_rng(sF16) = sF17,
    introduced(function_definition,[]) ).

fof(f163,plain,
    relation_rng(sK8) = sF18,
    introduced(function_definition,[]) ).

fof(f122,plain,
    ~ subset(relation_rng(relation_composition(sK7,sK8)),relation_rng(sK8)),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ( relation(sK7)
    & ~ subset(relation_rng(relation_composition(sK7,sK8)),relation_rng(sK8))
    & relation(sK8) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f58,f79,f78]) ).

fof(f78,plain,
    ( ? [X0] :
        ( relation(X0)
        & ? [X1] :
            ( ~ subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1))
            & relation(X1) ) )
   => ( relation(sK7)
      & ? [X1] :
          ( ~ subset(relation_rng(relation_composition(sK7,X1)),relation_rng(X1))
          & relation(X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f79,plain,
    ( ? [X1] :
        ( ~ subset(relation_rng(relation_composition(sK7,X1)),relation_rng(X1))
        & relation(X1) )
   => ( ~ subset(relation_rng(relation_composition(sK7,sK8)),relation_rng(sK8))
      & relation(sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f58,plain,
    ? [X0] :
      ( relation(X0)
      & ? [X1] :
          ( ~ subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1))
          & relation(X1) ) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,negated_conjecture,
    ~ ! [X0] :
        ( relation(X0)
       => ! [X1] :
            ( relation(X1)
           => subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)) ) ),
    inference(negated_conjecture,[],[f30]) ).

fof(f30,conjecture,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation(X1)
         => subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_relat_1) ).

fof(f2318,plain,
    subset(sF17,sF18),
    inference(duplicate_literal_removal,[],[f2314]) ).

fof(f2314,plain,
    ( subset(sF17,sF18)
    | subset(sF17,sF18) ),
    inference(resolution,[],[f2126,f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ in(sK6(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( in(sK6(X0,X1),X0)
          & ~ in(sK6(X0,X1),X1) ) )
      & ( ! [X3] :
            ( ~ in(X3,X0)
            | in(X3,X1) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f74,f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( in(X2,X0)
          & ~ in(X2,X1) )
     => ( in(sK6(X0,X1),X0)
        & ~ in(sK6(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( in(X2,X0)
            & ~ in(X2,X1) ) )
      & ( ! [X3] :
            ( ~ in(X3,X0)
            | in(X3,X1) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( in(X2,X0)
            & ~ in(X2,X1) ) )
      & ( ! [X2] :
            ( ~ in(X2,X0)
            | in(X2,X1) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( ~ in(X2,X0)
          | in(X2,X1) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) )
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f2126,plain,
    ! [X17] :
      ( in(sK6(sF17,X17),sF18)
      | subset(sF17,X17) ),
    inference(resolution,[],[f2115,f119]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( in(sK6(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f2115,plain,
    ! [X2] :
      ( ~ in(X2,sF17)
      | in(X2,sF18) ),
    inference(forward_demodulation,[],[f2114,f162]) ).

fof(f2114,plain,
    ! [X2] :
      ( ~ in(X2,relation_rng(sF16))
      | in(X2,sF18) ),
    inference(subsumption_resolution,[],[f2111,f225]) ).

fof(f225,plain,
    relation(sF16),
    inference(subsumption_resolution,[],[f224,f121]) ).

fof(f121,plain,
    relation(sK8),
    inference(cnf_transformation,[],[f80]) ).

fof(f224,plain,
    ( ~ relation(sK8)
    | relation(sF16) ),
    inference(subsumption_resolution,[],[f223,f123]) ).

fof(f123,plain,
    relation(sK7),
    inference(cnf_transformation,[],[f80]) ).

fof(f223,plain,
    ( ~ relation(sK7)
    | relation(sF16)
    | ~ relation(sK8) ),
    inference(superposition,[],[f120,f161]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( relation(relation_composition(X0,X1))
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | relation(relation_composition(X0,X1)) ),
    inference(rectify,[],[f49]) ).

fof(f49,plain,
    ! [X1,X0] :
      ( ~ relation(X1)
      | ~ relation(X0)
      | relation(relation_composition(X1,X0)) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ! [X1,X0] :
      ( relation(relation_composition(X1,X0))
      | ~ relation(X0)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X1,X0] :
      ( ( relation(X0)
        & relation(X1) )
     => relation(relation_composition(X1,X0)) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X1,X0] :
      ( ( relation(X0)
        & relation(X1) )
     => relation(relation_composition(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).

fof(f2111,plain,
    ! [X2] :
      ( ~ relation(sF16)
      | in(X2,sF18)
      | ~ in(X2,relation_rng(sF16)) ),
    inference(resolution,[],[f2108,f339]) ).

fof(f339,plain,
    ! [X0,X1] :
      ( in(unordered_pair(singleton(sK12(X0,X1)),unordered_pair(X1,sK12(X0,X1))),X0)
      | ~ in(X1,relation_rng(X0))
      | ~ relation(X0) ),
    inference(forward_demodulation,[],[f334,f129]) ).

fof(f129,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(rectify,[],[f41]) ).

fof(f41,plain,
    ! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).

fof(f334,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | in(unordered_pair(unordered_pair(X1,sK12(X0,X1)),singleton(sK12(X0,X1))),X0)
      | ~ in(X1,relation_rng(X0)) ),
    inference(superposition,[],[f160,f129]) ).

fof(f160,plain,
    ! [X0,X5] :
      ( in(unordered_pair(unordered_pair(sK12(X0,X5),X5),singleton(sK12(X0,X5))),X0)
      | ~ relation(X0)
      | ~ in(X5,relation_rng(X0)) ),
    inference(equality_resolution,[],[f154]) ).

fof(f154,plain,
    ! [X0,X1,X5] :
      ( in(unordered_pair(unordered_pair(sK12(X0,X5),X5),singleton(sK12(X0,X5))),X0)
      | ~ in(X5,X1)
      | relation_rng(X0) != X1
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f131,f142]) ).

fof(f142,plain,
    ! [X0,X1] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).

fof(f131,plain,
    ! [X0,X1,X5] :
      ( in(ordered_pair(sK12(X0,X5),X5),X0)
      | ~ in(X5,X1)
      | relation_rng(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ( ( ! [X3] : ~ in(ordered_pair(X3,sK10(X0,X1)),X0)
                | ~ in(sK10(X0,X1),X1) )
              & ( in(ordered_pair(sK11(X0,X1),sK10(X0,X1)),X0)
                | in(sK10(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( in(ordered_pair(sK12(X0,X5),X5),X0)
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f88,f91,f90,f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
            | ~ in(X2,X1) )
          & ( ? [X4] : in(ordered_pair(X4,X2),X0)
            | in(X2,X1) ) )
     => ( ( ! [X3] : ~ in(ordered_pair(X3,sK10(X0,X1)),X0)
          | ~ in(sK10(X0,X1),X1) )
        & ( ? [X4] : in(ordered_pair(X4,sK10(X0,X1)),X0)
          | in(sK10(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ? [X4] : in(ordered_pair(X4,sK10(X0,X1)),X0)
     => in(ordered_pair(sK11(X0,X1),sK10(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f91,plain,
    ! [X0,X5] :
      ( ? [X7] : in(ordered_pair(X7,X5),X0)
     => in(ordered_pair(sK12(X0,X5),X5),X0) ),
    introduced(choice_axiom,[]) ).

fof(f88,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X4] : in(ordered_pair(X4,X2),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( ? [X7] : in(ordered_pair(X7,X5),X0)
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f87]) ).

fof(f87,plain,
    ! [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) ) ) )
          & ( ! [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(X0) ),
    inference(nnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).

fof(f2108,plain,
    ! [X2,X3] :
      ( ~ in(unordered_pair(singleton(X2),unordered_pair(X3,X2)),sF16)
      | in(X3,sF18) ),
    inference(superposition,[],[f2105,f129]) ).

fof(f2105,plain,
    ! [X0,X1] :
      ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16)
      | in(X1,sF18) ),
    inference(forward_demodulation,[],[f2104,f163]) ).

fof(f2104,plain,
    ! [X0,X1] :
      ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16)
      | in(X1,relation_rng(sK8)) ),
    inference(subsumption_resolution,[],[f2103,f123]) ).

fof(f2103,plain,
    ! [X0,X1] :
      ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16)
      | ~ relation(sK7)
      | in(X1,relation_rng(sK8)) ),
    inference(subsumption_resolution,[],[f2101,f121]) ).

fof(f2101,plain,
    ! [X0,X1] :
      ( ~ relation(sK8)
      | ~ relation(sK7)
      | ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16)
      | in(X1,relation_rng(sK8)) ),
    inference(superposition,[],[f505,f161]) ).

fof(f505,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(unordered_pair(singleton(X2),unordered_pair(X2,X3)),relation_composition(X1,X0))
      | in(X3,relation_rng(X0))
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(forward_demodulation,[],[f504,f129]) ).

fof(f504,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X0)
      | ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),relation_composition(X1,X0))
      | in(X3,relation_rng(X0))
      | ~ relation(X1) ),
    inference(subsumption_resolution,[],[f491,f120]) ).

fof(f491,plain,
    ! [X2,X3,X0,X1] :
      ( in(X3,relation_rng(X0))
      | ~ relation(X1)
      | ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),relation_composition(X1,X0))
      | ~ relation(X0)
      | ~ relation(relation_composition(X1,X0)) ),
    inference(duplicate_literal_removal,[],[f477]) ).

fof(f477,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relation(X1)
      | ~ relation(X0)
      | ~ relation(X0)
      | ~ relation(relation_composition(X1,X0))
      | ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),relation_composition(X1,X0))
      | in(X3,relation_rng(X0)) ),
    inference(resolution,[],[f156,f159]) ).

fof(f159,plain,
    ! [X0,X6,X5] :
      ( ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
      | in(X5,relation_rng(X0))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f153]) ).

fof(f153,plain,
    ! [X0,X1,X6,X5] :
      ( in(X5,X1)
      | ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
      | relation_rng(X0) != X1
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f132,f142]) ).

fof(f132,plain,
    ! [X0,X1,X6,X5] :
      ( in(X5,X1)
      | ~ in(ordered_pair(X6,X5),X0)
      | relation_rng(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f156,plain,
    ! [X0,X1,X8,X7] :
      ( in(unordered_pair(unordered_pair(sK5(X0,X1,X7,X8),X7),singleton(sK5(X0,X1,X7,X8))),X1)
      | ~ relation(X1)
      | ~ relation(relation_composition(X0,X1))
      | ~ relation(X0)
      | ~ in(unordered_pair(unordered_pair(X8,X7),singleton(X8)),relation_composition(X0,X1)) ),
    inference(equality_resolution,[],[f148]) ).

fof(f148,plain,
    ! [X2,X0,X1,X8,X7] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | in(unordered_pair(unordered_pair(sK5(X0,X1,X7,X8),X7),singleton(sK5(X0,X1,X7,X8))),X1)
      | ~ in(unordered_pair(unordered_pair(X8,X7),singleton(X8)),X2)
      | relation_composition(X0,X1) != X2
      | ~ relation(X2) ),
    inference(definition_unfolding,[],[f113,f142,f142]) ).

fof(f113,plain,
    ! [X2,X0,X1,X8,X7] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | in(ordered_pair(sK5(X0,X1,X7,X8),X7),X1)
      | ~ in(ordered_pair(X8,X7),X2)
      | relation_composition(X0,X1) != X2
      | ~ relation(X2) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ~ relation(X1)
          | ! [X2] :
              ( ( ( relation_composition(X0,X1) = X2
                  | ( ( ~ in(ordered_pair(sK3(X0,X1,X2),sK2(X0,X1,X2)),X2)
                      | ! [X5] :
                          ( ~ in(ordered_pair(X5,sK2(X0,X1,X2)),X1)
                          | ~ in(ordered_pair(sK3(X0,X1,X2),X5),X0) ) )
                    & ( in(ordered_pair(sK3(X0,X1,X2),sK2(X0,X1,X2)),X2)
                      | ( in(ordered_pair(sK4(X0,X1,X2),sK2(X0,X1,X2)),X1)
                        & in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X0) ) ) ) )
                & ( ! [X7,X8] :
                      ( ( ( in(ordered_pair(sK5(X0,X1,X7,X8),X7),X1)
                          & in(ordered_pair(X8,sK5(X0,X1,X7,X8)),X0) )
                        | ~ in(ordered_pair(X8,X7),X2) )
                      & ( in(ordered_pair(X8,X7),X2)
                        | ! [X10] :
                            ( ~ in(ordered_pair(X10,X7),X1)
                            | ~ in(ordered_pair(X8,X10),X0) ) ) )
                  | relation_composition(X0,X1) != X2 ) )
              | ~ relation(X2) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f68,f71,f70,f69]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4] :
          ( ( ~ in(ordered_pair(X4,X3),X2)
            | ! [X5] :
                ( ~ in(ordered_pair(X5,X3),X1)
                | ~ in(ordered_pair(X4,X5),X0) ) )
          & ( in(ordered_pair(X4,X3),X2)
            | ? [X6] :
                ( in(ordered_pair(X6,X3),X1)
                & in(ordered_pair(X4,X6),X0) ) ) )
     => ( ( ~ in(ordered_pair(sK3(X0,X1,X2),sK2(X0,X1,X2)),X2)
          | ! [X5] :
              ( ~ in(ordered_pair(X5,sK2(X0,X1,X2)),X1)
              | ~ in(ordered_pair(sK3(X0,X1,X2),X5),X0) ) )
        & ( in(ordered_pair(sK3(X0,X1,X2),sK2(X0,X1,X2)),X2)
          | ? [X6] :
              ( in(ordered_pair(X6,sK2(X0,X1,X2)),X1)
              & in(ordered_pair(sK3(X0,X1,X2),X6),X0) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f70,plain,
    ! [X0,X1,X2] :
      ( ? [X6] :
          ( in(ordered_pair(X6,sK2(X0,X1,X2)),X1)
          & in(ordered_pair(sK3(X0,X1,X2),X6),X0) )
     => ( in(ordered_pair(sK4(X0,X1,X2),sK2(X0,X1,X2)),X1)
        & in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ! [X0,X1,X7,X8] :
      ( ? [X9] :
          ( in(ordered_pair(X9,X7),X1)
          & in(ordered_pair(X8,X9),X0) )
     => ( in(ordered_pair(sK5(X0,X1,X7,X8),X7),X1)
        & in(ordered_pair(X8,sK5(X0,X1,X7,X8)),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ~ relation(X1)
          | ! [X2] :
              ( ( ( relation_composition(X0,X1) = X2
                  | ? [X3,X4] :
                      ( ( ~ in(ordered_pair(X4,X3),X2)
                        | ! [X5] :
                            ( ~ in(ordered_pair(X5,X3),X1)
                            | ~ in(ordered_pair(X4,X5),X0) ) )
                      & ( in(ordered_pair(X4,X3),X2)
                        | ? [X6] :
                            ( in(ordered_pair(X6,X3),X1)
                            & in(ordered_pair(X4,X6),X0) ) ) ) )
                & ( ! [X7,X8] :
                      ( ( ? [X9] :
                            ( in(ordered_pair(X9,X7),X1)
                            & in(ordered_pair(X8,X9),X0) )
                        | ~ in(ordered_pair(X8,X7),X2) )
                      & ( in(ordered_pair(X8,X7),X2)
                        | ! [X10] :
                            ( ~ in(ordered_pair(X10,X7),X1)
                            | ~ in(ordered_pair(X8,X10),X0) ) ) )
                  | relation_composition(X0,X1) != X2 ) )
              | ~ relation(X2) ) ) ),
    inference(rectify,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ~ relation(X1)
          | ! [X2] :
              ( ( ( relation_composition(X0,X1) = X2
                  | ? [X4,X3] :
                      ( ( ~ in(ordered_pair(X3,X4),X2)
                        | ! [X5] :
                            ( ~ in(ordered_pair(X5,X4),X1)
                            | ~ in(ordered_pair(X3,X5),X0) ) )
                      & ( in(ordered_pair(X3,X4),X2)
                        | ? [X5] :
                            ( in(ordered_pair(X5,X4),X1)
                            & in(ordered_pair(X3,X5),X0) ) ) ) )
                & ( ! [X4,X3] :
                      ( ( ? [X5] :
                            ( in(ordered_pair(X5,X4),X1)
                            & in(ordered_pair(X3,X5),X0) )
                        | ~ in(ordered_pair(X3,X4),X2) )
                      & ( in(ordered_pair(X3,X4),X2)
                        | ! [X5] :
                            ( ~ in(ordered_pair(X5,X4),X1)
                            | ~ in(ordered_pair(X3,X5),X0) ) ) )
                  | relation_composition(X0,X1) != X2 ) )
              | ~ relation(X2) ) ) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ~ relation(X1)
          | ! [X2] :
              ( ( relation_composition(X0,X1) = X2
              <=> ! [X4,X3] :
                    ( ? [X5] :
                        ( in(ordered_pair(X5,X4),X1)
                        & in(ordered_pair(X3,X5),X0) )
                  <=> in(ordered_pair(X3,X4),X2) ) )
              | ~ relation(X2) ) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation(X1)
         => ! [X2] :
              ( relation(X2)
             => ( relation_composition(X0,X1) = X2
              <=> ! [X4,X3] :
                    ( ? [X5] :
                        ( in(ordered_pair(X5,X4),X1)
                        & in(ordered_pair(X3,X5),X0) )
                  <=> in(ordered_pair(X3,X4),X2) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_relat_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU183+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n027.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 15:02:31 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.54  % (6800)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54  % (6793)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (6794)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (6794)Instruction limit reached!
% 0.20/0.55  % (6794)------------------------------
% 0.20/0.55  % (6794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (6794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (6794)Termination reason: Unknown
% 0.20/0.55  % (6794)Termination phase: Preprocessing 3
% 0.20/0.55  
% 0.20/0.55  % (6794)Memory used [KB]: 895
% 0.20/0.55  % (6794)Time elapsed: 0.003 s
% 0.20/0.55  % (6794)Instructions burned: 2 (million)
% 0.20/0.55  % (6794)------------------------------
% 0.20/0.55  % (6794)------------------------------
% 0.20/0.55  % (6793)Instruction limit reached!
% 0.20/0.55  % (6793)------------------------------
% 0.20/0.55  % (6793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (6802)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (6810)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56  % (6808)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.56  % (6793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (6793)Termination reason: Unknown
% 0.20/0.56  % (6793)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (6793)Memory used [KB]: 5628
% 0.20/0.56  % (6793)Time elapsed: 0.132 s
% 0.20/0.56  % (6793)Instructions burned: 8 (million)
% 0.20/0.56  % (6793)------------------------------
% 0.20/0.56  % (6793)------------------------------
% 1.50/0.59  % (6790)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.50/0.59  % (6786)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.50/0.59  % (6804)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.50/0.59  % (6806)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.50/0.59  % (6814)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.50/0.59  % (6788)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.87/0.59  % (6809)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.87/0.59  % (6798)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.87/0.59  % (6807)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.87/0.60  % (6797)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.87/0.60  % (6815)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.87/0.60  % (6787)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.87/0.60  % (6791)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)
% 1.87/0.60  % (6803)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.87/0.60  % (6789)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.87/0.60  % (6812)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.87/0.60  % (6801)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.87/0.61  TRYING [1]
% 1.87/0.61  % (6813)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)
% 1.87/0.61  % (6799)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.87/0.61  % (6796)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.87/0.61  % (6792)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.87/0.61  % (6805)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.87/0.61  % (6811)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.87/0.61  TRYING [2]
% 1.87/0.61  % (6787)Refutation not found, incomplete strategy% (6787)------------------------------
% 1.87/0.61  % (6787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.61  TRYING [1]
% 1.87/0.61  % (6787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.61  % (6787)Termination reason: Refutation not found, incomplete strategy
% 1.87/0.61  
% 1.87/0.61  % (6795)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.87/0.61  % (6787)Memory used [KB]: 5628
% 1.87/0.61  % (6787)Time elapsed: 0.164 s
% 1.87/0.61  % (6787)Instructions burned: 9 (million)
% 1.87/0.61  % (6787)------------------------------
% 1.87/0.61  % (6787)------------------------------
% 1.87/0.61  TRYING [2]
% 1.87/0.62  TRYING [3]
% 1.87/0.63  % (6803)Instruction limit reached!
% 1.87/0.63  % (6803)------------------------------
% 1.87/0.63  % (6803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.63  % (6803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.63  % (6803)Termination reason: Unknown
% 1.87/0.63  % (6803)Termination phase: Finite model building constraint generation
% 1.87/0.63  
% 1.87/0.63  % (6803)Memory used [KB]: 8955
% 1.87/0.63  % (6803)Time elapsed: 0.174 s
% 1.87/0.63  % (6803)Instructions burned: 59 (million)
% 1.87/0.63  % (6803)------------------------------
% 1.87/0.63  % (6803)------------------------------
% 1.87/0.63  TRYING [1]
% 1.87/0.63  TRYING [2]
% 1.87/0.64  TRYING [3]
% 1.87/0.64  % (6790)Instruction limit reached!
% 1.87/0.64  % (6790)------------------------------
% 1.87/0.64  % (6790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.64  % (6790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.64  % (6790)Termination reason: Unknown
% 1.87/0.64  % (6790)Termination phase: Saturation
% 1.87/0.64  
% 1.87/0.64  % (6790)Memory used [KB]: 6780
% 1.87/0.64  % (6790)Time elapsed: 0.219 s
% 1.87/0.64  % (6790)Instructions burned: 51 (million)
% 1.87/0.64  % (6790)------------------------------
% 1.87/0.64  % (6790)------------------------------
% 1.87/0.64  TRYING [3]
% 1.87/0.65  % (6788)Instruction limit reached!
% 1.87/0.65  % (6788)------------------------------
% 1.87/0.65  % (6788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.65  % (6788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.65  % (6788)Termination reason: Unknown
% 1.87/0.65  % (6788)Termination phase: Saturation
% 1.87/0.65  
% 1.87/0.65  % (6788)Memory used [KB]: 1535
% 1.87/0.65  % (6788)Time elapsed: 0.232 s
% 1.87/0.65  % (6788)Instructions burned: 38 (million)
% 1.87/0.65  % (6788)------------------------------
% 1.87/0.65  % (6788)------------------------------
% 1.87/0.67  % (6800)Instruction limit reached!
% 1.87/0.67  % (6800)------------------------------
% 1.87/0.67  % (6800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.67  % (6792)Instruction limit reached!
% 1.87/0.67  % (6792)------------------------------
% 1.87/0.67  % (6792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.67  % (6792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.67  % (6800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.67  % (6792)Termination reason: Unknown
% 1.87/0.67  % (6800)Termination reason: Unknown
% 1.87/0.67  % (6792)Termination phase: Finite model building constraint generation
% 1.87/0.67  % (6800)Termination phase: Saturation
% 1.87/0.67  
% 1.87/0.67  
% 1.87/0.67  % (6800)Memory used [KB]: 6780
% 1.87/0.67  % (6800)Time elapsed: 0.066 s
% 1.87/0.67  % (6800)Instructions burned: 69 (million)
% 1.87/0.67  % (6800)------------------------------
% 1.87/0.67  % (6800)------------------------------
% 1.87/0.68  % (6844)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.45/0.68  % (6796)Instruction limit reached!
% 2.45/0.68  % (6796)------------------------------
% 2.45/0.68  % (6796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.68  % (6796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.68  % (6796)Termination reason: Unknown
% 2.45/0.68  % (6796)Termination phase: Saturation
% 2.45/0.68  
% 2.45/0.68  % (6796)Memory used [KB]: 6396
% 2.45/0.68  % (6796)Time elapsed: 0.266 s
% 2.45/0.68  % (6796)Instructions burned: 51 (million)
% 2.45/0.68  % (6796)------------------------------
% 2.45/0.68  % (6796)------------------------------
% 2.45/0.69  % (6792)Memory used [KB]: 8699
% 2.45/0.69  % (6792)Time elapsed: 0.227 s
% 2.45/0.69  % (6792)Instructions burned: 53 (million)
% 2.45/0.69  % (6792)------------------------------
% 2.45/0.69  % (6792)------------------------------
% 2.45/0.69  % (6859)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.45/0.69  % (6789)Instruction limit reached!
% 2.45/0.69  % (6789)------------------------------
% 2.45/0.69  % (6789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.69  % (6789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.69  % (6789)Termination reason: Unknown
% 2.45/0.69  % (6789)Termination phase: Saturation
% 2.45/0.69  
% 2.45/0.69  % (6789)Memory used [KB]: 6012
% 2.45/0.69  % (6789)Time elapsed: 0.270 s
% 2.45/0.69  % (6789)Instructions burned: 51 (million)
% 2.45/0.69  % (6789)------------------------------
% 2.45/0.69  % (6789)------------------------------
% 2.56/0.71  % (6791)Instruction limit reached!
% 2.56/0.71  % (6791)------------------------------
% 2.56/0.71  % (6791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.71  % (6791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.71  % (6791)Termination reason: Unknown
% 2.56/0.71  % (6791)Termination phase: Saturation
% 2.56/0.71  
% 2.56/0.71  % (6791)Memory used [KB]: 6012
% 2.56/0.71  % (6791)Time elapsed: 0.293 s
% 2.56/0.71  % (6791)Instructions burned: 49 (million)
% 2.56/0.71  % (6791)------------------------------
% 2.56/0.71  % (6791)------------------------------
% 2.56/0.72  % (6832)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.56/0.72  % (6812)Instruction limit reached!
% 2.56/0.72  % (6812)------------------------------
% 2.56/0.72  % (6812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.72  % (6812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.72  % (6812)Termination reason: Unknown
% 2.56/0.72  % (6812)Termination phase: Saturation
% 2.56/0.72  
% 2.56/0.72  % (6812)Memory used [KB]: 6780
% 2.56/0.72  % (6812)Time elapsed: 0.038 s
% 2.56/0.72  % (6812)Instructions burned: 68 (million)
% 2.56/0.72  % (6812)------------------------------
% 2.56/0.72  % (6812)------------------------------
% 2.57/0.72  % (6851)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.57/0.73  % (6828)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.57/0.74  % (6801)Instruction limit reached!
% 2.57/0.74  % (6801)------------------------------
% 2.57/0.74  % (6801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.74  % (6801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.74  % (6801)Termination reason: Unknown
% 2.57/0.74  % (6801)Termination phase: Saturation
% 2.57/0.74  
% 2.57/0.74  % (6801)Memory used [KB]: 2302
% 2.57/0.74  % (6801)Time elapsed: 0.329 s
% 2.57/0.74  % (6801)Instructions burned: 75 (million)
% 2.57/0.74  % (6801)------------------------------
% 2.57/0.74  % (6801)------------------------------
% 2.57/0.74  % (6795)Instruction limit reached!
% 2.57/0.74  % (6795)------------------------------
% 2.57/0.74  % (6795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.74  % (6795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.74  % (6795)Termination reason: Unknown
% 2.57/0.74  % (6795)Termination phase: Saturation
% 2.57/0.74  
% 2.57/0.74  % (6795)Memory used [KB]: 1791
% 2.57/0.74  % (6795)Time elapsed: 0.289 s
% 2.57/0.74  % (6795)Instructions burned: 52 (million)
% 2.57/0.74  % (6795)------------------------------
% 2.57/0.74  % (6795)------------------------------
% 2.57/0.75  % (6864)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.57/0.76  % (6802)Instruction limit reached!
% 2.57/0.76  % (6802)------------------------------
% 2.57/0.76  % (6802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.76  % (6802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.76  % (6802)Termination reason: Unknown
% 2.57/0.76  % (6802)Termination phase: Saturation
% 2.57/0.76  
% 2.57/0.76  % (6802)Memory used [KB]: 6524
% 2.57/0.76  % (6802)Time elapsed: 0.330 s
% 2.57/0.76  % (6802)Instructions burned: 100 (million)
% 2.57/0.76  % (6802)------------------------------
% 2.57/0.76  % (6802)------------------------------
% 2.57/0.76  % (6798)Instruction limit reached!
% 2.57/0.76  % (6798)------------------------------
% 2.57/0.76  % (6798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.76  % (6798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.76  % (6798)Termination reason: Unknown
% 2.57/0.76  % (6798)Termination phase: Saturation
% 2.57/0.76  
% 2.57/0.76  % (6798)Memory used [KB]: 6908
% 2.57/0.76  % (6798)Time elapsed: 0.340 s
% 2.57/0.76  % (6798)Instructions burned: 101 (million)
% 2.57/0.76  % (6798)------------------------------
% 2.57/0.76  % (6798)------------------------------
% 2.57/0.76  % (6797)Instruction limit reached!
% 2.57/0.76  % (6797)------------------------------
% 2.57/0.76  % (6797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.76  % (6797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.76  % (6797)Termination reason: Unknown
% 2.57/0.76  % (6797)Termination phase: Saturation
% 2.57/0.76  
% 2.57/0.76  % (6797)Memory used [KB]: 6652
% 2.57/0.76  % (6797)Time elapsed: 0.338 s
% 2.57/0.76  % (6797)Instructions burned: 100 (million)
% 2.57/0.76  % (6797)------------------------------
% 2.57/0.76  % (6797)------------------------------
% 2.57/0.77  % (6804)Instruction limit reached!
% 2.57/0.77  % (6804)------------------------------
% 2.57/0.77  % (6804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.77  % (6804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.77  % (6804)Termination reason: Unknown
% 2.57/0.77  % (6804)Termination phase: Saturation
% 2.57/0.77  
% 2.57/0.77  % (6804)Memory used [KB]: 6908
% 2.57/0.77  % (6804)Time elapsed: 0.330 s
% 2.57/0.77  % (6804)Instructions burned: 100 (million)
% 2.57/0.77  % (6804)------------------------------
% 2.57/0.77  % (6804)------------------------------
% 2.57/0.77  % (6805)Instruction limit reached!
% 2.57/0.77  % (6805)------------------------------
% 2.57/0.77  % (6805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.78  % (6805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.78  % (6805)Termination reason: Unknown
% 2.57/0.78  % (6805)Termination phase: Saturation
% 2.57/0.78  
% 2.57/0.78  % (6805)Memory used [KB]: 2430
% 2.57/0.78  % (6805)Time elapsed: 0.339 s
% 2.57/0.78  % (6805)Instructions burned: 100 (million)
% 2.57/0.78  % (6805)------------------------------
% 2.57/0.78  % (6805)------------------------------
% 2.57/0.79  % (6873)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 2.57/0.80  % (6799)Instruction limit reached!
% 2.57/0.80  % (6799)------------------------------
% 2.57/0.80  % (6799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.57/0.80  % (6880)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.57/0.80  TRYING [4]
% 2.57/0.81  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.57/0.81  % (6887)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 2.57/0.81  % (6799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.57/0.81  % (6799)Termination reason: Unknown
% 2.57/0.81  % (6799)Termination phase: Saturation
% 2.57/0.81  
% 2.57/0.81  % (6799)Memory used [KB]: 6780
% 2.57/0.81  % (6799)Time elapsed: 0.363 s
% 2.57/0.81  % (6799)Instructions burned: 100 (million)
% 2.57/0.81  % (6799)------------------------------
% 2.57/0.81  % (6799)------------------------------
% 3.10/0.81  % (6883)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.10/0.82  % (6844)Instruction limit reached!
% 3.10/0.82  % (6844)------------------------------
% 3.10/0.82  % (6844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.10/0.82  % (6844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.10/0.82  % (6844)Termination reason: Unknown
% 3.10/0.82  % (6844)Termination phase: Saturation
% 3.10/0.82  
% 3.10/0.82  % (6844)Memory used [KB]: 6652
% 3.10/0.82  % (6844)Time elapsed: 0.179 s
% 3.10/0.82  % (6844)Instructions burned: 90 (million)
% 3.10/0.82  % (6844)------------------------------
% 3.10/0.82  % (6844)------------------------------
% 3.10/0.83  % (6811)First to succeed.
% 3.10/0.83  % (6896)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.10/0.84  % (6811)Refutation found. Thanks to Tanya!
% 3.10/0.84  % SZS status Theorem for theBenchmark
% 3.10/0.84  % SZS output start Proof for theBenchmark
% See solution above
% 3.10/0.84  % (6811)------------------------------
% 3.10/0.84  % (6811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.10/0.84  % (6811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.10/0.84  % (6811)Termination reason: Refutation
% 3.10/0.84  
% 3.10/0.84  % (6811)Memory used [KB]: 7036
% 3.10/0.84  % (6811)Time elapsed: 0.375 s
% 3.10/0.84  % (6811)Instructions burned: 118 (million)
% 3.10/0.84  % (6811)------------------------------
% 3.10/0.84  % (6811)------------------------------
% 3.10/0.84  % (6785)Success in time 0.485 s
%------------------------------------------------------------------------------