TSTP Solution File: LCL520+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL520+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 17:48:36 EDT 2022

% Result   : Theorem 2.64s 0.76s
% Output   : Refutation 2.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  149 (  34 unt;   0 def)
%            Number of atoms       :  362 (  41 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  396 ( 183   ~; 176   |;   3   &)
%                                         (  18 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   21 (  19 usr;  19 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :  218 ( 212   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2833,plain,
    $false,
    inference(avatar_sat_refutation,[],[f124,f132,f140,f141,f142,f156,f158,f159,f2829]) ).

fof(f2829,plain,
    ( ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(avatar_contradiction_clause,[],[f2815]) ).

fof(f2815,plain,
    ( $false
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(resolution,[],[f2806,f144]) ).

fof(f144,plain,
    ~ is_a_theorem(implies(or(sK1,sK0),or(sK0,sK1))),
    inference(subsumption_resolution,[],[f104,f113]) ).

fof(f113,plain,
    ~ r3,
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ~ r3,
    inference(flattening,[],[f44]) ).

fof(f44,negated_conjecture,
    ~ r3,
    inference(negated_conjecture,[],[f43]) ).

fof(f43,conjecture,
    r3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r3) ).

fof(f104,plain,
    ( ~ is_a_theorem(implies(or(sK1,sK0),or(sK0,sK1)))
    | r3 ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ( r3
    | ~ is_a_theorem(implies(or(sK1,sK0),or(sK0,sK1))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f89,f90]) ).

fof(f90,plain,
    ( ? [X0,X1] : ~ is_a_theorem(implies(or(X1,X0),or(X0,X1)))
   => ~ is_a_theorem(implies(or(sK1,sK0),or(sK0,sK1))) ),
    introduced(choice_axiom,[]) ).

fof(f89,plain,
    ( r3
    | ? [X0,X1] : ~ is_a_theorem(implies(or(X1,X0),or(X0,X1))) ),
    inference(rectify,[],[f81]) ).

fof(f81,plain,
    ( r3
    | ? [X1,X0] : ~ is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,plain,
    ( ! [X1,X0] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
   => r3 ),
    inference(unused_predicate_definition_removal,[],[f66]) ).

fof(f66,plain,
    ( ! [X1,X0] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
  <=> r3 ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ( ! [X3,X4] : is_a_theorem(implies(or(X3,X4),or(X4,X3)))
  <=> r3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',r3) ).

fof(f2806,plain,
    ( ! [X2,X3] : is_a_theorem(implies(or(X3,X2),or(X2,X3)))
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(forward_demodulation,[],[f2805,f179]) ).

fof(f179,plain,
    ( ! [X0,X1] : or(X0,X1) = implies(not(X0),X1)
    | ~ spl2_6 ),
    inference(superposition,[],[f139,f147]) ).

fof(f147,plain,
    ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
    inference(subsumption_resolution,[],[f109,f98]) ).

fof(f98,plain,
    op_or,
    inference(cnf_transformation,[],[f32]) ).

fof(f32,axiom,
    op_or,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_op_or) ).

fof(f109,plain,
    ! [X0,X1] :
      ( or(X0,X1) = not(and(not(X0),not(X1)))
      | ~ op_or ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ( ~ op_or
    | ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
    inference(rectify,[],[f76]) ).

fof(f76,plain,
    ( ~ op_or
    | ! [X1,X0] : or(X1,X0) = not(and(not(X1),not(X0))) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,plain,
    ( op_or
   => ! [X1,X0] : or(X1,X0) = not(and(not(X1),not(X0))) ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ( op_or
   => ! [X1,X0] : or(X0,X1) = not(and(not(X0),not(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_or) ).

fof(f139,plain,
    ( ! [X0,X1] : implies(X1,X0) = not(and(X1,not(X0)))
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f138,plain,
    ( spl2_6
  <=> ! [X0,X1] : implies(X1,X0) = not(and(X1,not(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f2805,plain,
    ( ! [X2,X3] : is_a_theorem(implies(implies(not(X3),X2),or(X2,X3)))
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(forward_demodulation,[],[f2785,f183]) ).

fof(f183,plain,
    ( ! [X2,X0,X1] : implies(implies(X0,X1),X2) = or(and(X0,not(X1)),X2)
    | ~ spl2_6 ),
    inference(forward_demodulation,[],[f172,f139]) ).

fof(f172,plain,
    ( ! [X2,X0,X1] : or(and(X0,not(X1)),X2) = not(and(implies(X0,X1),not(X2)))
    | ~ spl2_6 ),
    inference(superposition,[],[f147,f139]) ).

fof(f2785,plain,
    ( ! [X2,X3] : is_a_theorem(or(and(not(X3),not(X2)),or(X2,X3)))
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(superposition,[],[f1354,f147]) ).

fof(f1354,plain,
    ( ! [X2,X1] : is_a_theorem(or(and(X1,X2),not(and(X2,X1))))
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(resolution,[],[f1014,f263]) ).

fof(f263,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),or(and(X1,X2),not(and(X2,X0)))))
    | ~ spl2_1
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(backward_demodulation,[],[f171,f252]) ).

fof(f252,plain,
    ( ! [X2,X0,X1] : not(and(X2,and(not(X0),X1))) = implies(X2,or(X0,not(X1)))
    | ~ spl2_1
    | ~ spl2_6 ),
    inference(superposition,[],[f139,f192]) ).

fof(f192,plain,
    ( ! [X3,X4] : not(or(X3,not(X4))) = and(not(X3),X4)
    | ~ spl2_1
    | ~ spl2_6 ),
    inference(superposition,[],[f160,f179]) ).

fof(f160,plain,
    ( ! [X0,X1] : and(X0,X1) = not(implies(X0,not(X1)))
    | ~ spl2_1 ),
    inference(forward_demodulation,[],[f119,f157]) ).

fof(f157,plain,
    ! [X0,X1] : implies(X1,X0) = or(not(X1),X0),
    inference(subsumption_resolution,[],[f97,f103]) ).

fof(f103,plain,
    op_implies_or,
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    op_implies_or,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_op_implies_or) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ op_implies_or
      | implies(X1,X0) = or(not(X1),X0) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ( ! [X0,X1] : implies(X1,X0) = or(not(X1),X0)
    | ~ op_implies_or ),
    inference(rectify,[],[f74]) ).

fof(f74,plain,
    ( ! [X1,X0] : implies(X0,X1) = or(not(X0),X1)
    | ~ op_implies_or ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ( op_implies_or
   => ! [X1,X0] : implies(X0,X1) = or(not(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_implies_or) ).

fof(f119,plain,
    ( ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1)))
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f118,plain,
    ( spl2_1
  <=> ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f171,plain,
    ( ! [X2,X0,X1] : is_a_theorem(not(and(implies(X0,X1),and(not(and(X1,X2)),and(X2,X0)))))
    | ~ spl2_1
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(backward_demodulation,[],[f151,f169]) ).

fof(f169,plain,
    ( ! [X2,X0,X1] : implies(X2,implies(X0,not(X1))) = not(and(X2,and(X0,X1)))
    | ~ spl2_1
    | ~ spl2_6 ),
    inference(superposition,[],[f139,f160]) ).

fof(f151,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))
    | ~ spl2_7 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f150,plain,
    ( spl2_7
  <=> ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f1014,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(implies(X0,X0),X1))
        | is_a_theorem(X1) )
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(resolution,[],[f985,f216]) ).

fof(f216,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(not(not(X0)))
        | ~ is_a_theorem(implies(X0,X1))
        | is_a_theorem(X1) )
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(superposition,[],[f191,f157]) ).

fof(f191,plain,
    ( ! [X2,X1] :
        ( ~ is_a_theorem(or(X1,X2))
        | is_a_theorem(X2)
        | ~ is_a_theorem(not(X1)) )
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(superposition,[],[f131,f179]) ).

fof(f131,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X1,X0))
        | ~ is_a_theorem(X1)
        | is_a_theorem(X0) )
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f130,plain,
    ( spl2_4
  <=> ! [X0,X1] :
        ( ~ is_a_theorem(X1)
        | is_a_theorem(X0)
        | ~ is_a_theorem(implies(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f985,plain,
    ( ! [X0] : is_a_theorem(not(not(implies(X0,X0))))
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(resolution,[],[f984,f295]) ).

fof(f295,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(equiv(X0,X1))
        | is_a_theorem(not(not(implies(X0,X1)))) )
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(superposition,[],[f276,f145]) ).

fof(f145,plain,
    ! [X0,X1] : and(implies(X1,X0),implies(X0,X1)) = equiv(X1,X0),
    inference(subsumption_resolution,[],[f114,f115]) ).

fof(f115,plain,
    op_equiv,
    inference(cnf_transformation,[],[f42]) ).

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

fof(f114,plain,
    ! [X0,X1] :
      ( and(implies(X1,X0),implies(X0,X1)) = equiv(X1,X0)
      | ~ op_equiv ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ( ~ op_equiv
    | ! [X0,X1] : and(implies(X1,X0),implies(X0,X1)) = equiv(X1,X0) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,plain,
    ( op_equiv
   => ! [X0,X1] : and(implies(X1,X0),implies(X0,X1)) = equiv(X1,X0) ),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ( op_equiv
   => ! [X1,X0] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_equiv) ).

fof(f276,plain,
    ( ! [X6,X5] :
        ( ~ is_a_theorem(and(X5,X6))
        | is_a_theorem(not(not(X5))) )
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(superposition,[],[f162,f266]) ).

fof(f266,plain,
    ( ! [X0,X1] : and(X0,X1) = and(not(not(X0)),X1)
    | ~ spl2_1
    | ~ spl2_6 ),
    inference(forward_demodulation,[],[f251,f160]) ).

fof(f251,plain,
    ( ! [X0,X1] : and(not(not(X0)),X1) = not(implies(X0,not(X1)))
    | ~ spl2_1
    | ~ spl2_6 ),
    inference(superposition,[],[f192,f157]) ).

fof(f162,plain,
    ( ! [X2,X1] :
        ( ~ is_a_theorem(and(X1,X2))
        | is_a_theorem(X1) )
    | ~ spl2_4 ),
    inference(resolution,[],[f131,f148]) ).

fof(f148,plain,
    ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)),
    inference(subsumption_resolution,[],[f99,f100]) ).

fof(f100,plain,
    kn2,
    inference(cnf_transformation,[],[f37]) ).

fof(f37,axiom,
    kn2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_kn2) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ~ kn2
      | is_a_theorem(implies(and(X0,X1),X0)) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ( ~ kn2
    | ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ( kn2
   => ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
    inference(unused_predicate_definition_removal,[],[f64]) ).

fof(f64,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
  <=> kn2 ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ( kn2
  <=> ! [X3,X4] : is_a_theorem(implies(and(X3,X4),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kn2) ).

fof(f984,plain,
    ( ! [X4] : is_a_theorem(equiv(X4,X4))
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(forward_demodulation,[],[f980,f145]) ).

fof(f980,plain,
    ( ! [X4] : is_a_theorem(and(implies(X4,X4),implies(X4,X4)))
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(resolution,[],[f950,f161]) ).

fof(f161,plain,
    ( ! [X0] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(and(X0,X0)) )
    | ~ spl2_4 ),
    inference(resolution,[],[f131,f146]) ).

fof(f146,plain,
    ! [X0] : is_a_theorem(implies(X0,and(X0,X0))),
    inference(subsumption_resolution,[],[f111,f112]) ).

fof(f112,plain,
    kn1,
    inference(cnf_transformation,[],[f36]) ).

fof(f36,axiom,
    kn1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_kn1) ).

fof(f111,plain,
    ! [X0] :
      ( ~ kn1
      | is_a_theorem(implies(X0,and(X0,X0))) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ( ~ kn1
    | ! [X0] : is_a_theorem(implies(X0,and(X0,X0))) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,plain,
    ( kn1
   => ! [X0] : is_a_theorem(implies(X0,and(X0,X0))) ),
    inference(unused_predicate_definition_removal,[],[f47]) ).

fof(f47,plain,
    ( ! [X0] : is_a_theorem(implies(X0,and(X0,X0)))
  <=> kn1 ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ( kn1
  <=> ! [X3] : is_a_theorem(implies(X3,and(X3,X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kn1) ).

fof(f950,plain,
    ( ! [X0] : is_a_theorem(implies(X0,X0))
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(forward_demodulation,[],[f938,f157]) ).

fof(f938,plain,
    ( ! [X0] : is_a_theorem(or(not(X0),X0))
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(resolution,[],[f924,f351]) ).

fof(f351,plain,
    ( ! [X0,X1] : is_a_theorem(or(or(X0,X1),not(X0)))
    | ~ spl2_6 ),
    inference(superposition,[],[f321,f179]) ).

fof(f321,plain,
    ( ! [X0,X1] : is_a_theorem(or(implies(X0,X1),X0))
    | ~ spl2_6 ),
    inference(superposition,[],[f148,f166]) ).

fof(f166,plain,
    ( ! [X2,X0,X1] : or(implies(X0,X1),X2) = implies(and(X0,not(X1)),X2)
    | ~ spl2_6 ),
    inference(superposition,[],[f157,f139]) ).

fof(f924,plain,
    ( ! [X2,X1] :
        ( ~ is_a_theorem(or(or(X1,X1),X2))
        | is_a_theorem(or(X2,X1)) )
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(resolution,[],[f915,f131]) ).

fof(f915,plain,
    ( ! [X2,X3] : is_a_theorem(implies(or(or(X3,X3),X2),or(X2,X3)))
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(forward_demodulation,[],[f914,f179]) ).

fof(f914,plain,
    ( ! [X2,X3] : is_a_theorem(implies(or(implies(not(X3),X3),X2),or(X2,X3)))
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(forward_demodulation,[],[f913,f166]) ).

fof(f913,plain,
    ( ! [X2,X3] : is_a_theorem(implies(implies(and(not(X3),not(X3)),X2),or(X2,X3)))
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(forward_demodulation,[],[f907,f183]) ).

fof(f907,plain,
    ( ! [X2,X3] : is_a_theorem(or(and(and(not(X3),not(X3)),not(X2)),or(X2,X3)))
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(superposition,[],[f587,f147]) ).

fof(f587,plain,
    ( ! [X0,X1] : is_a_theorem(or(and(and(X0,X0),X1),not(and(X1,X0))))
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(resolution,[],[f417,f263]) ).

fof(f417,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(implies(X0,and(X0,X0)),X1))
        | is_a_theorem(X1) )
    | ~ spl2_1
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(resolution,[],[f216,f205]) ).

fof(f205,plain,
    ( ! [X0] : is_a_theorem(not(not(implies(X0,and(X0,X0)))))
    | ~ spl2_1
    | ~ spl2_6 ),
    inference(forward_demodulation,[],[f204,f168]) ).

fof(f168,plain,
    ( ! [X3,X4,X5] : and(X5,implies(X3,not(X4))) = not(implies(X5,and(X3,X4)))
    | ~ spl2_1 ),
    inference(superposition,[],[f160,f160]) ).

fof(f204,plain,
    ( ! [X0] : is_a_theorem(not(and(X0,implies(X0,not(X0)))))
    | ~ spl2_6 ),
    inference(forward_demodulation,[],[f203,f165]) ).

fof(f165,plain,
    ( ! [X2,X0,X1] : not(and(X2,implies(X0,X1))) = implies(X2,and(X0,not(X1)))
    | ~ spl2_6 ),
    inference(superposition,[],[f139,f139]) ).

fof(f203,plain,
    ( ! [X0] : is_a_theorem(implies(X0,and(X0,not(not(X0)))))
    | ~ spl2_6 ),
    inference(forward_demodulation,[],[f202,f157]) ).

fof(f202,plain,
    ( ! [X0] : is_a_theorem(or(not(X0),and(X0,not(not(X0)))))
    | ~ spl2_6 ),
    inference(forward_demodulation,[],[f198,f175]) ).

fof(f175,plain,
    ( ! [X2,X0,X1] : or(X2,and(X0,not(X1))) = not(and(not(X2),implies(X0,X1)))
    | ~ spl2_6 ),
    inference(superposition,[],[f147,f139]) ).

fof(f198,plain,
    ( ! [X0] : is_a_theorem(not(and(not(not(X0)),implies(X0,not(X0)))))
    | ~ spl2_6 ),
    inference(superposition,[],[f193,f157]) ).

fof(f193,plain,
    ( ! [X0] : is_a_theorem(not(and(not(X0),or(X0,X0))))
    | ~ spl2_6 ),
    inference(forward_demodulation,[],[f190,f176]) ).

fof(f176,plain,
    ! [X3,X4,X5] : or(X5,and(not(X3),not(X4))) = not(and(not(X5),or(X3,X4))),
    inference(superposition,[],[f147,f147]) ).

fof(f190,plain,
    ( ! [X0] : is_a_theorem(or(X0,and(not(X0),not(X0))))
    | ~ spl2_6 ),
    inference(superposition,[],[f146,f179]) ).

fof(f159,plain,
    spl2_8,
    inference(avatar_split_clause,[],[f110,f153]) ).

fof(f153,plain,
    ( spl2_8
  <=> kn3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).

fof(f110,plain,
    kn3,
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    kn3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_kn3) ).

fof(f158,plain,
    spl2_5,
    inference(avatar_split_clause,[],[f106,f134]) ).

fof(f134,plain,
    ( spl2_5
  <=> op_implies_and ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f106,plain,
    op_implies_and,
    inference(cnf_transformation,[],[f33]) ).

fof(f33,axiom,
    op_implies_and,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_op_implies_and) ).

fof(f156,plain,
    ( spl2_7
    | ~ spl2_8 ),
    inference(avatar_split_clause,[],[f101,f153,f150]) ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( ~ kn3
      | is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))
    | ~ kn3 ),
    inference(rectify,[],[f79]) ).

fof(f79,plain,
    ( ! [X0,X2,X1] : is_a_theorem(implies(implies(X0,X2),implies(not(and(X2,X1)),not(and(X1,X0)))))
    | ~ kn3 ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,plain,
    ( kn3
   => ! [X0,X2,X1] : is_a_theorem(implies(implies(X0,X2),implies(not(and(X2,X1)),not(and(X1,X0))))) ),
    inference(unused_predicate_definition_removal,[],[f58]) ).

fof(f58,plain,
    ( kn3
  <=> ! [X0,X2,X1] : is_a_theorem(implies(implies(X0,X2),implies(not(and(X2,X1)),not(and(X1,X0))))) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ( kn3
  <=> ! [X3,X5,X4] : is_a_theorem(implies(implies(X3,X4),implies(not(and(X4,X5)),not(and(X5,X3))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kn3) ).

fof(f142,plain,
    spl2_3,
    inference(avatar_split_clause,[],[f107,f126]) ).

fof(f126,plain,
    ( spl2_3
  <=> modus_ponens ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f107,plain,
    modus_ponens,
    inference(cnf_transformation,[],[f35]) ).

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

fof(f141,plain,
    spl2_2,
    inference(avatar_split_clause,[],[f95,f121]) ).

fof(f121,plain,
    ( spl2_2
  <=> op_and ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f95,plain,
    op_and,
    inference(cnf_transformation,[],[f41]) ).

fof(f41,axiom,
    op_and,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_op_and) ).

fof(f140,plain,
    ( ~ spl2_5
    | spl2_6 ),
    inference(avatar_split_clause,[],[f102,f138,f134]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( implies(X1,X0) = not(and(X1,not(X0)))
      | ~ op_implies_and ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ( ! [X0,X1] : implies(X1,X0) = not(and(X1,not(X0)))
    | ~ op_implies_and ),
    inference(rectify,[],[f80]) ).

fof(f80,plain,
    ( ! [X1,X0] : implies(X0,X1) = not(and(X0,not(X1)))
    | ~ op_implies_and ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ( op_implies_and
   => ! [X1,X0] : implies(X0,X1) = not(and(X0,not(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_implies_and) ).

fof(f132,plain,
    ( ~ spl2_3
    | spl2_4 ),
    inference(avatar_split_clause,[],[f105,f130,f126]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X1)
      | ~ is_a_theorem(implies(X1,X0))
      | is_a_theorem(X0)
      | ~ modus_ponens ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ( ~ modus_ponens
    | ! [X0,X1] :
        ( ~ is_a_theorem(implies(X1,X0))
        | ~ is_a_theorem(X1)
        | is_a_theorem(X0) ) ),
    inference(flattening,[],[f82]) ).

fof(f82,plain,
    ( ! [X1,X0] :
        ( is_a_theorem(X0)
        | ~ is_a_theorem(implies(X1,X0))
        | ~ is_a_theorem(X1) )
    | ~ modus_ponens ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,plain,
    ( modus_ponens
   => ! [X1,X0] :
        ( ( is_a_theorem(implies(X1,X0))
          & is_a_theorem(X1) )
       => is_a_theorem(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f54]) ).

fof(f54,plain,
    ( modus_ponens
  <=> ! [X1,X0] :
        ( ( 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/sandbox/benchmark/theBenchmark.p',modus_ponens) ).

fof(f124,plain,
    ( spl2_1
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f116,f121,f118]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ~ op_and
      | and(X0,X1) = not(or(not(X0),not(X1))) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ( ~ op_and
    | ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ( op_and
   => ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_and) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : LCL520+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % 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 02:21:45 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.50  % (17735)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)
% 0.20/0.51  % (17737)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)
% 0.20/0.51  % (17750)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)
% 0.20/0.52  % (17757)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)
% 0.20/0.52  % (17761)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)
% 0.20/0.53  % (17738)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (17745)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)
% 0.20/0.53  % (17760)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  % (17749)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)
% 0.20/0.53  % (17758)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)
% 0.20/0.53  % (17743)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)
% 0.20/0.53  % (17736)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)
% 0.20/0.53  % (17756)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53  % (17763)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (17740)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)
% 0.20/0.54  % (17755)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)
% 0.20/0.54  % (17734)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)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (17762)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)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  TRYING [3]
% 0.20/0.54  % (17741)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  TRYING [3]
% 0.20/0.54  % (17753)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (17751)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (17764)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)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  % (17748)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  TRYING [2]
% 0.20/0.54  % (17742)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  % (17742)Instruction limit reached!
% 0.20/0.55  % (17742)------------------------------
% 0.20/0.55  % (17742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (17742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (17742)Termination reason: Unknown
% 0.20/0.55  % (17742)Termination phase: Unused predicate definition removal
% 0.20/0.55  
% 0.20/0.55  % (17742)Memory used [KB]: 895
% 0.20/0.55  % (17742)Time elapsed: 0.002 s
% 0.20/0.55  % (17742)Instructions burned: 2 (million)
% 0.20/0.55  % (17742)------------------------------
% 0.20/0.55  % (17742)------------------------------
% 0.20/0.55  % (17746)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55  % (17759)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55  % (17744)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (17741)Instruction limit reached!
% 0.20/0.55  % (17741)------------------------------
% 0.20/0.55  % (17741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (17741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (17741)Termination reason: Unknown
% 0.20/0.55  % (17741)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (17741)Memory used [KB]: 5628
% 0.20/0.55  % (17741)Time elapsed: 0.110 s
% 0.20/0.55  % (17741)Instructions burned: 7 (million)
% 0.20/0.55  % (17741)------------------------------
% 0.20/0.55  % (17741)------------------------------
% 0.20/0.56  TRYING [4]
% 0.20/0.57  TRYING [3]
% 1.71/0.57  TRYING [4]
% 1.71/0.58  % (17740)Instruction limit reached!
% 1.71/0.58  % (17740)------------------------------
% 1.71/0.58  % (17740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58  % (17739)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)
% 1.71/0.59  % (17754)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)
% 1.71/0.59  % (17736)Instruction limit reached!
% 1.71/0.59  % (17736)------------------------------
% 1.71/0.59  % (17736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59  % (17736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59  % (17736)Termination reason: Unknown
% 1.71/0.59  % (17736)Termination phase: Saturation
% 1.71/0.59  
% 1.71/0.59  % (17736)Memory used [KB]: 1791
% 1.71/0.59  % (17736)Time elapsed: 0.196 s
% 1.71/0.59  % (17736)Instructions burned: 37 (million)
% 1.71/0.59  % (17736)------------------------------
% 1.71/0.59  % (17736)------------------------------
% 1.71/0.59  % (17740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59  % (17740)Termination reason: Unknown
% 1.71/0.59  % (17740)Termination phase: Finite model building constraint generation
% 1.71/0.59  
% 1.71/0.59  % (17740)Memory used [KB]: 7036
% 1.71/0.59  % (17740)Time elapsed: 0.179 s
% 1.71/0.59  % (17740)Instructions burned: 52 (million)
% 1.71/0.59  % (17740)------------------------------
% 1.71/0.59  % (17740)------------------------------
% 1.71/0.59  TRYING [4]
% 1.91/0.59  % (17737)Instruction limit reached!
% 1.91/0.59  % (17737)------------------------------
% 1.91/0.59  % (17737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.60  % (17747)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.91/0.61  % (17738)Instruction limit reached!
% 1.91/0.61  % (17738)------------------------------
% 1.91/0.61  % (17738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.62  % (17738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62  % (17738)Termination reason: Unknown
% 1.91/0.62  % (17738)Termination phase: Saturation
% 1.91/0.62  
% 1.91/0.62  % (17738)Memory used [KB]: 6652
% 1.91/0.62  % (17738)Time elapsed: 0.197 s
% 1.91/0.62  % (17738)Instructions burned: 51 (million)
% 1.91/0.62  % (17738)------------------------------
% 1.91/0.62  % (17738)------------------------------
% 1.91/0.62  % (17735)Instruction limit reached!
% 1.91/0.62  % (17735)------------------------------
% 1.91/0.62  % (17735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.62  % (17735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62  % (17735)Termination reason: Unknown
% 1.91/0.62  % (17735)Termination phase: Saturation
% 1.91/0.62  
% 1.91/0.62  % (17735)Memory used [KB]: 6652
% 1.91/0.62  % (17735)Time elapsed: 0.217 s
% 1.91/0.62  % (17735)Instructions burned: 51 (million)
% 1.91/0.62  % (17735)------------------------------
% 1.91/0.62  % (17735)------------------------------
% 1.91/0.62  % (17737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62  % (17737)Termination reason: Unknown
% 1.91/0.62  % (17737)Termination phase: Saturation
% 1.91/0.62  
% 1.91/0.62  % (17737)Memory used [KB]: 6780
% 1.91/0.62  % (17737)Time elapsed: 0.204 s
% 1.91/0.62  % (17737)Instructions burned: 52 (million)
% 1.91/0.62  % (17737)------------------------------
% 1.91/0.62  % (17737)------------------------------
% 1.91/0.63  % (17744)Instruction limit reached!
% 1.91/0.63  % (17744)------------------------------
% 1.91/0.63  % (17744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.63  % (17744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.63  % (17744)Termination reason: Unknown
% 1.91/0.63  % (17744)Termination phase: Saturation
% 1.91/0.63  
% 1.91/0.63  % (17744)Memory used [KB]: 6652
% 1.91/0.63  % (17744)Time elapsed: 0.233 s
% 1.91/0.63  % (17744)Instructions burned: 50 (million)
% 1.91/0.63  % (17744)------------------------------
% 1.91/0.63  % (17744)------------------------------
% 1.91/0.63  % (17751)Instruction limit reached!
% 1.91/0.63  % (17751)------------------------------
% 1.91/0.63  % (17751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.63  % (17751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.63  % (17751)Termination reason: Unknown
% 1.91/0.63  % (17751)Termination phase: Finite model building SAT solving
% 1.91/0.63  
% 1.91/0.63  % (17751)Memory used [KB]: 7164
% 1.91/0.63  % (17751)Time elapsed: 0.215 s
% 1.91/0.63  % (17751)Instructions burned: 60 (million)
% 1.91/0.63  % (17751)------------------------------
% 1.91/0.63  % (17751)------------------------------
% 1.91/0.63  % (17761)Instruction limit reached!
% 1.91/0.63  % (17761)------------------------------
% 1.91/0.63  % (17761)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.64  % (17743)Instruction limit reached!
% 2.24/0.64  % (17743)------------------------------
% 2.24/0.64  % (17743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.64  % (17743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.64  % (17743)Termination reason: Unknown
% 2.24/0.64  % (17743)Termination phase: Saturation
% 2.24/0.64  
% 2.24/0.64  % (17743)Memory used [KB]: 2174
% 2.24/0.64  % (17743)Time elapsed: 0.224 s
% 2.24/0.64  % (17743)Instructions burned: 51 (million)
% 2.24/0.64  % (17743)------------------------------
% 2.24/0.64  % (17743)------------------------------
% 2.24/0.65  % (17761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.65  % (17761)Termination reason: Unknown
% 2.24/0.65  % (17761)Termination phase: Saturation
% 2.24/0.65  
% 2.24/0.65  % (17761)Memory used [KB]: 6780
% 2.24/0.65  % (17761)Time elapsed: 0.036 s
% 2.24/0.65  % (17761)Instructions burned: 69 (million)
% 2.24/0.65  % (17761)------------------------------
% 2.24/0.65  % (17761)------------------------------
% 2.24/0.65  % (17748)Instruction limit reached!
% 2.24/0.65  % (17748)------------------------------
% 2.24/0.65  % (17748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.65  % (17748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.65  % (17748)Termination reason: Unknown
% 2.24/0.65  % (17748)Termination phase: Saturation
% 2.24/0.65  
% 2.24/0.65  % (17748)Memory used [KB]: 6780
% 2.24/0.65  % (17748)Time elapsed: 0.045 s
% 2.24/0.65  % (17748)Instructions burned: 68 (million)
% 2.24/0.65  % (17748)------------------------------
% 2.24/0.65  % (17748)------------------------------
% 2.24/0.69  % (17746)Instruction limit reached!
% 2.24/0.69  % (17746)------------------------------
% 2.24/0.69  % (17746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.69  % (17745)Instruction limit reached!
% 2.24/0.69  % (17745)------------------------------
% 2.24/0.69  % (17745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.69  % (17745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.69  % (17745)Termination reason: Unknown
% 2.24/0.69  % (17745)Termination phase: Saturation
% 2.24/0.69  
% 2.24/0.69  % (17745)Memory used [KB]: 7803
% 2.24/0.69  % (17745)Time elapsed: 0.287 s
% 2.24/0.69  % (17745)Instructions burned: 100 (million)
% 2.24/0.69  % (17745)------------------------------
% 2.24/0.69  % (17745)------------------------------
% 2.24/0.69  % (17749)Instruction limit reached!
% 2.24/0.69  % (17749)------------------------------
% 2.24/0.69  % (17749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.69  % (17753)Instruction limit reached!
% 2.24/0.69  % (17753)------------------------------
% 2.24/0.69  % (17753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.69  % (17753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.69  % (17753)Termination reason: Unknown
% 2.24/0.69  % (17753)Termination phase: Saturation
% 2.24/0.69  
% 2.24/0.69  % (17753)Memory used [KB]: 7675
% 2.24/0.69  % (17753)Time elapsed: 0.301 s
% 2.24/0.69  % (17753)Instructions burned: 101 (million)
% 2.24/0.69  % (17753)------------------------------
% 2.24/0.69  % (17753)------------------------------
% 2.24/0.69  % (17746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.69  % (17746)Termination reason: Unknown
% 2.24/0.69  % (17746)Termination phase: Saturation
% 2.24/0.69  
% 2.24/0.70  % (17746)Memory used [KB]: 7419
% 2.24/0.70  % (17746)Time elapsed: 0.286 s
% 2.24/0.70  % (17746)Instructions burned: 103 (million)
% 2.24/0.70  % (17746)------------------------------
% 2.24/0.70  % (17746)------------------------------
% 2.24/0.70  % (17749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.70  % (17749)Termination reason: Unknown
% 2.24/0.70  % (17749)Termination phase: Saturation
% 2.24/0.70  
% 2.24/0.70  % (17749)Memory used [KB]: 2686
% 2.24/0.70  % (17749)Time elapsed: 0.286 s
% 2.24/0.70  % (17749)Instructions burned: 76 (million)
% 2.24/0.70  % (17749)------------------------------
% 2.24/0.70  % (17749)------------------------------
% 2.64/0.70  % (17739)Instruction limit reached!
% 2.64/0.70  % (17739)------------------------------
% 2.64/0.70  % (17739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.70  % (17739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.70  % (17739)Termination reason: Unknown
% 2.64/0.70  % (17739)Termination phase: Saturation
% 2.64/0.70  
% 2.64/0.70  % (17739)Memory used [KB]: 6268
% 2.64/0.70  % (17739)Time elapsed: 0.260 s
% 2.64/0.70  % (17739)Instructions burned: 49 (million)
% 2.64/0.70  % (17739)------------------------------
% 2.64/0.70  % (17739)------------------------------
% 2.64/0.70  % (17845)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)
% 2.64/0.71  % (17849)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)
% 2.64/0.71  % (17750)Instruction limit reached!
% 2.64/0.71  % (17750)------------------------------
% 2.64/0.71  % (17750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.71  % (17750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.71  % (17750)Termination reason: Unknown
% 2.64/0.71  % (17750)Termination phase: Saturation
% 2.64/0.71  
% 2.64/0.71  % (17750)Memory used [KB]: 7036
% 2.64/0.71  % (17750)Time elapsed: 0.301 s
% 2.64/0.71  % (17750)Instructions burned: 100 (million)
% 2.64/0.71  % (17750)------------------------------
% 2.64/0.71  % (17750)------------------------------
% 2.64/0.72  % (17862)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)
% 2.64/0.74  % (17763)First to succeed.
% 2.64/0.74  % (17864)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.64/0.75  % (17886)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)
% 2.64/0.76  % (17874)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)
% 2.64/0.76  % (17763)Refutation found. Thanks to Tanya!
% 2.64/0.76  % SZS status Theorem for theBenchmark
% 2.64/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 2.64/0.76  % (17763)------------------------------
% 2.64/0.76  % (17763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.76  % (17763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.88/0.76  % (17763)Termination reason: Refutation
% 2.88/0.76  
% 2.88/0.76  % (17763)Memory used [KB]: 8059
% 2.88/0.76  % (17763)Time elapsed: 0.343 s
% 2.88/0.76  % (17763)Instructions burned: 115 (million)
% 2.88/0.76  % (17763)------------------------------
% 2.88/0.76  % (17763)------------------------------
% 2.88/0.76  % (17728)Success in time 0.4 s
%------------------------------------------------------------------------------