TSTP Solution File: LCL500+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL500+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 17:48:32 EDT 2022

% Result   : Theorem 2.15s 0.68s
% Output   : Refutation 2.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  176 (  69 unt;   0 def)
%            Number of atoms       :  347 (  42 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  310 ( 139   ~; 130   |;   2   &)
%                                         (  20 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :   22 (  20 usr;  20 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :  277 ( 273   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2621,plain,
    $false,
    inference(avatar_sat_refutation,[],[f130,f142,f151,f152,f183,f187,f2618]) ).

fof(f2618,plain,
    ( ~ spl2_2
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(avatar_contradiction_clause,[],[f2610]) ).

fof(f2610,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(resolution,[],[f2476,f194]) ).

fof(f194,plain,
    ( ~ is_a_theorem(implies(not(implies(sK1,not(sK0))),sK1))
    | ~ spl2_4 ),
    inference(backward_demodulation,[],[f169,f189]) ).

fof(f189,plain,
    ( ! [X0,X1] : implies(X1,X0) = implies(not(not(X1)),X0)
    | ~ spl2_4 ),
    inference(forward_demodulation,[],[f141,f164]) ).

fof(f164,plain,
    ! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
    inference(backward_demodulation,[],[f153,f163]) ).

fof(f163,plain,
    ! [X0,X1] : implies(X1,X0) = not(and(X1,not(X0))),
    inference(subsumption_resolution,[],[f114,f99]) ).

fof(f99,plain,
    op_implies_and,
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    op_implies_and,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rosser_op_implies_and) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ~ op_implies_and
      | implies(X1,X0) = not(and(X1,not(X0))) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ( ~ op_implies_and
    | ! [X0,X1] : implies(X1,X0) = not(and(X1,not(X0))) ),
    inference(rectify,[],[f83]) ).

fof(f83,plain,
    ( ~ op_implies_and
    | ! [X1,X0] : implies(X0,X1) = not(and(X0,not(X1))) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ( op_implies_and
   => ! [X1,X0] : implies(X0,X1) = not(and(X0,not(X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_and) ).

fof(f153,plain,
    ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
    inference(subsumption_resolution,[],[f110,f118]) ).

fof(f118,plain,
    op_or,
    inference(cnf_transformation,[],[f42]) ).

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

fof(f110,plain,
    ! [X0,X1] :
      ( or(X0,X1) = not(and(not(X0),not(X1)))
      | ~ op_or ),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ( ~ op_or
    | ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ( op_or
   => ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_or) ).

fof(f141,plain,
    ( ! [X0,X1] : implies(X1,X0) = or(not(X1),X0)
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f140,plain,
    ( spl2_4
  <=> ! [X0,X1] : implies(X1,X0) = or(not(X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f169,plain,
    ~ is_a_theorem(implies(not(implies(not(not(sK1)),not(sK0))),sK1)),
    inference(backward_demodulation,[],[f132,f168]) ).

fof(f168,plain,
    ! [X0,X1] : and(X0,X1) = not(implies(not(not(X0)),not(X1))),
    inference(backward_demodulation,[],[f157,f163]) ).

fof(f157,plain,
    ! [X0,X1] : and(X0,X1) = not(not(and(not(not(X0)),not(not(X1))))),
    inference(backward_demodulation,[],[f143,f153]) ).

fof(f143,plain,
    ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
    inference(subsumption_resolution,[],[f107,f119]) ).

fof(f119,plain,
    op_and,
    inference(cnf_transformation,[],[f33]) ).

fof(f33,axiom,
    op_and,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_op_and) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ~ op_and
      | and(X0,X1) = not(or(not(X0),not(X1))) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ( ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1)))
    | ~ op_and ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ( op_and
   => ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_and) ).

fof(f132,plain,
    ~ is_a_theorem(implies(and(sK1,sK0),sK1)),
    inference(subsumption_resolution,[],[f108,f101]) ).

fof(f101,plain,
    ~ kn2,
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ~ kn2,
    inference(flattening,[],[f46]) ).

fof(f46,negated_conjecture,
    ~ kn2,
    inference(negated_conjecture,[],[f45]) ).

fof(f45,conjecture,
    kn2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rosser_kn2) ).

fof(f108,plain,
    ( ~ is_a_theorem(implies(and(sK1,sK0),sK1))
    | kn2 ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ( kn2
    | ~ is_a_theorem(implies(and(sK1,sK0),sK1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f76,f90]) ).

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

fof(f76,plain,
    ( kn2
    | ? [X0,X1] : ~ is_a_theorem(implies(and(X1,X0),X1)) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,plain,
    ( ! [X1,X0] : is_a_theorem(implies(and(X1,X0),X1))
   => kn2 ),
    inference(unused_predicate_definition_removal,[],[f54]) ).

fof(f54,plain,
    ( kn2
  <=> ! [X1,X0] : is_a_theorem(implies(and(X1,X0),X1)) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ( kn2
  <=> ! [X4,X3] : is_a_theorem(implies(and(X3,X4),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kn2) ).

fof(f2476,plain,
    ( ! [X19,X20] : is_a_theorem(implies(not(implies(X19,X20)),X19))
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(forward_demodulation,[],[f2473,f1617]) ).

fof(f1617,plain,
    ( ! [X0] : not(not(X0)) = X0
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(subsumption_resolution,[],[f1603,f883]) ).

fof(f883,plain,
    ( ! [X0] : is_a_theorem(implies(X0,X0))
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(forward_demodulation,[],[f878,f189]) ).

fof(f878,plain,
    ( ! [X0] : is_a_theorem(implies(not(not(X0)),X0))
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(resolution,[],[f865,f204]) ).

fof(f204,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(not(X1),X0))
        | is_a_theorem(implies(not(X0),X1)) )
    | ~ spl2_6 ),
    inference(resolution,[],[f172,f150]) ).

fof(f150,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X1,X0))
        | is_a_theorem(X0)
        | ~ is_a_theorem(X1) )
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f149]) ).

fof(f149,plain,
    ( spl2_6
  <=> ! [X0,X1] :
        ( is_a_theorem(X0)
        | ~ is_a_theorem(X1)
        | ~ is_a_theorem(implies(X1,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f172,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(not(X1),X0))),
    inference(forward_demodulation,[],[f171,f170]) ).

fof(f170,plain,
    ! [X0,X1] : implies(X1,X0) = not(not(implies(not(not(X1)),not(not(X0))))),
    inference(backward_demodulation,[],[f163,f168]) ).

fof(f171,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),not(not(implies(not(not(not(X1))),not(not(X0))))))),
    inference(forward_demodulation,[],[f167,f168]) ).

fof(f167,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),not(and(not(X1),not(X0))))),
    inference(backward_demodulation,[],[f162,f163]) ).

fof(f162,plain,
    ! [X0,X1] : is_a_theorem(implies(not(and(not(X0),not(X1))),not(and(not(X1),not(X0))))),
    inference(forward_demodulation,[],[f155,f153]) ).

fof(f155,plain,
    ! [X0,X1] : is_a_theorem(implies(not(and(not(X0),not(X1))),or(X1,X0))),
    inference(backward_demodulation,[],[f134,f153]) ).

fof(f134,plain,
    ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))),
    inference(subsumption_resolution,[],[f113,f100]) ).

fof(f100,plain,
    r3,
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    r3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r3) ).

fof(f113,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(or(X0,X1),or(X1,X0)))
      | ~ r3 ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
    | ~ r3 ),
    inference(rectify,[],[f86]) ).

fof(f86,plain,
    ( ! [X1,X0] : is_a_theorem(implies(or(X1,X0),or(X0,X1)))
    | ~ r3 ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,plain,
    ( r3
   => ! [X1,X0] : is_a_theorem(implies(or(X1,X0),or(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f65]) ).

fof(f65,plain,
    ( ! [X1,X0] : is_a_theorem(implies(or(X1,X0),or(X0,X1)))
  <=> r3 ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ( r3
  <=> ! [X4,X3] : is_a_theorem(implies(or(X3,X4),or(X4,X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r3) ).

fof(f865,plain,
    ( ! [X2] : is_a_theorem(implies(not(X2),not(X2)))
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(resolution,[],[f848,f196]) ).

fof(f196,plain,
    ( ! [X2] :
        ( ~ is_a_theorem(implies(not(X2),X2))
        | is_a_theorem(X2) )
    | ~ spl2_2
    | ~ spl2_6 ),
    inference(resolution,[],[f150,f188]) ).

fof(f188,plain,
    ( ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0))
    | ~ spl2_2 ),
    inference(forward_demodulation,[],[f129,f164]) ).

fof(f129,plain,
    ( ! [X0] : is_a_theorem(implies(or(X0,X0),X0))
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f128,plain,
    ( spl2_2
  <=> ! [X0] : is_a_theorem(implies(or(X0,X0),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f848,plain,
    ( ! [X11,X12] : is_a_theorem(implies(not(X11),implies(not(X12),not(X12))))
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(resolution,[],[f244,f200]) ).

fof(f200,plain,
    ( ! [X2,X3] : is_a_theorem(implies(X3,implies(X2,X3)))
    | ~ spl2_4 ),
    inference(superposition,[],[f182,f189]) ).

fof(f182,plain,
    ! [X0,X1] : is_a_theorem(implies(X1,implies(not(X0),X1))),
    inference(forward_demodulation,[],[f181,f164]) ).

fof(f181,plain,
    ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))),
    inference(subsumption_resolution,[],[f121,f102]) ).

fof(f102,plain,
    r2,
    inference(cnf_transformation,[],[f37]) ).

fof(f37,axiom,
    r2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r2) ).

fof(f121,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X1,or(X0,X1)))
      | ~ r2 ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
    | ~ r2 ),
    inference(rectify,[],[f81]) ).

fof(f81,plain,
    ( ! [X1,X0] : is_a_theorem(implies(X0,or(X1,X0)))
    | ~ r2 ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ( r2
   => ! [X1,X0] : is_a_theorem(implies(X0,or(X1,X0))) ),
    inference(unused_predicate_definition_removal,[],[f58]) ).

fof(f58,plain,
    ( ! [X1,X0] : is_a_theorem(implies(X0,or(X1,X0)))
  <=> r2 ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ( r2
  <=> ! [X4,X3] : is_a_theorem(implies(X4,or(X3,X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r2) ).

fof(f244,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(not(X1),implies(not(X0),X2)))
        | is_a_theorem(implies(not(X0),implies(not(X1),X2))) )
    | ~ spl2_6 ),
    inference(resolution,[],[f180,f150]) ).

fof(f180,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(not(X1),implies(not(X2),X0)),implies(not(X2),implies(not(X1),X0)))),
    inference(forward_demodulation,[],[f179,f170]) ).

fof(f179,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(not(not(implies(not(not(not(X1))),not(not(implies(not(X2),X0)))))),implies(not(X2),implies(not(X1),X0)))),
    inference(forward_demodulation,[],[f178,f168]) ).

fof(f178,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(not(and(not(X1),not(implies(not(X2),X0)))),implies(not(X2),implies(not(X1),X0)))),
    inference(forward_demodulation,[],[f177,f170]) ).

fof(f177,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(not(and(not(X1),not(implies(not(X2),X0)))),implies(not(X2),not(not(implies(not(not(not(X1))),not(not(X0)))))))),
    inference(forward_demodulation,[],[f176,f168]) ).

fof(f176,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(not(and(not(X1),not(implies(not(X2),X0)))),implies(not(X2),not(and(not(X1),not(X0)))))),
    inference(forward_demodulation,[],[f175,f170]) ).

fof(f175,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(not(and(not(X1),not(implies(not(X2),X0)))),not(not(implies(not(not(not(X2))),not(not(not(and(not(X1),not(X0)))))))))),
    inference(forward_demodulation,[],[f165,f168]) ).

fof(f165,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(not(and(not(X1),not(implies(not(X2),X0)))),not(and(not(X2),not(not(and(not(X1),not(X0)))))))),
    inference(backward_demodulation,[],[f160,f163]) ).

fof(f160,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(not(and(not(X1),not(not(and(not(X2),not(X0)))))),not(and(not(X2),not(not(and(not(X1),not(X0)))))))),
    inference(forward_demodulation,[],[f159,f153]) ).

fof(f159,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(not(and(not(X1),not(or(X2,X0)))),not(and(not(X2),not(not(and(not(X1),not(X0)))))))),
    inference(forward_demodulation,[],[f158,f153]) ).

fof(f158,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(not(and(not(X1),not(or(X2,X0)))),not(and(not(X2),not(or(X1,X0)))))),
    inference(forward_demodulation,[],[f154,f153]) ).

fof(f154,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(not(and(not(X1),not(or(X2,X0)))),or(X2,or(X1,X0)))),
    inference(backward_demodulation,[],[f131,f153]) ).

fof(f131,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(or(X1,or(X2,X0)),or(X2,or(X1,X0)))),
    inference(subsumption_resolution,[],[f111,f109]) ).

fof(f109,plain,
    r4,
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    r4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r4) ).

fof(f111,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(or(X1,or(X2,X0)),or(X2,or(X1,X0))))
      | ~ r4 ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ( ! [X0,X1,X2] : is_a_theorem(implies(or(X1,or(X2,X0)),or(X2,or(X1,X0))))
    | ~ r4 ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,plain,
    ( r4
   => ! [X0,X1,X2] : is_a_theorem(implies(or(X1,or(X2,X0)),or(X2,or(X1,X0)))) ),
    inference(unused_predicate_definition_removal,[],[f62]) ).

fof(f62,plain,
    ( ! [X0,X1,X2] : is_a_theorem(implies(or(X1,or(X2,X0)),or(X2,or(X1,X0))))
  <=> r4 ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ( r4
  <=> ! [X5,X3,X4] : is_a_theorem(implies(or(X3,or(X4,X5)),or(X4,or(X3,X5)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r4) ).

fof(f1603,plain,
    ( ! [X0] :
        ( ~ is_a_theorem(implies(X0,X0))
        | not(not(X0)) = X0 )
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(resolution,[],[f1268,f232]) ).

fof(f232,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(not(implies(implies(X1,X0),not(implies(X0,X1)))))
        | not(not(X0)) = X1 )
    | ~ spl2_4 ),
    inference(forward_demodulation,[],[f230,f210]) ).

fof(f210,plain,
    ( ! [X2,X0,X1] : implies(implies(X0,not(not(X1))),X2) = implies(implies(X0,X1),X2)
    | ~ spl2_4 ),
    inference(superposition,[],[f189,f193]) ).

fof(f193,plain,
    ( ! [X0,X1] : implies(X1,X0) = not(not(implies(X1,not(not(X0)))))
    | ~ spl2_4 ),
    inference(backward_demodulation,[],[f170,f189]) ).

fof(f230,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(not(implies(implies(X1,not(not(X0))),not(implies(X0,X1)))))
        | not(not(X0)) = X1 )
    | ~ spl2_4 ),
    inference(superposition,[],[f191,f189]) ).

fof(f191,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(not(implies(implies(X0,X1),not(implies(X1,X0)))))
        | X0 = X1 )
    | ~ spl2_4 ),
    inference(backward_demodulation,[],[f186,f189]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ is_a_theorem(not(implies(not(not(implies(X0,X1))),not(implies(X1,X0))))) ),
    inference(backward_demodulation,[],[f122,f185]) ).

fof(f185,plain,
    ! [X0,X1] : equiv(X0,X1) = not(implies(not(not(implies(X0,X1))),not(implies(X1,X0)))),
    inference(forward_demodulation,[],[f184,f168]) ).

fof(f184,plain,
    ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
    inference(subsumption_resolution,[],[f96,f117]) ).

fof(f117,plain,
    op_equiv,
    inference(cnf_transformation,[],[f44]) ).

fof(f44,axiom,
    op_equiv,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rosser_op_equiv) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ~ op_equiv
      | equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
    | ~ op_equiv ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ( op_equiv
   => ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_equiv) ).

fof(f122,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ is_a_theorem(equiv(X0,X1)) ),
    inference(subsumption_resolution,[],[f112,f105]) ).

fof(f105,plain,
    substitution_of_equivalents,
    inference(cnf_transformation,[],[f41]) ).

fof(f41,axiom,
    substitution_of_equivalents,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',substitution_of_equivalents) ).

fof(f112,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ is_a_theorem(equiv(X0,X1))
      | ~ substitution_of_equivalents ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ( ~ substitution_of_equivalents
    | ! [X0,X1] :
        ( ~ is_a_theorem(equiv(X0,X1))
        | X0 = X1 ) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,plain,
    ( substitution_of_equivalents
   => ! [X0,X1] :
        ( is_a_theorem(equiv(X0,X1))
       => X0 = X1 ) ),
    inference(unused_predicate_definition_removal,[],[f2]) ).

fof(f2,axiom,
    ( substitution_of_equivalents
  <=> ! [X0,X1] :
        ( is_a_theorem(equiv(X0,X1))
       => X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',substitution_of_equivalents) ).

fof(f1268,plain,
    ( ! [X2] :
        ( is_a_theorem(not(implies(X2,not(X2))))
        | ~ is_a_theorem(X2) )
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(resolution,[],[f1230,f150]) ).

fof(f1230,plain,
    ( ! [X37] : is_a_theorem(implies(X37,not(implies(X37,not(X37)))))
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(forward_demodulation,[],[f1209,f189]) ).

fof(f1209,plain,
    ( ! [X37] : is_a_theorem(implies(not(not(X37)),not(implies(X37,not(X37)))))
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(resolution,[],[f288,f201]) ).

fof(f201,plain,
    ( ! [X4] : is_a_theorem(implies(implies(X4,not(X4)),not(X4)))
    | ~ spl2_2
    | ~ spl2_4 ),
    inference(superposition,[],[f188,f189]) ).

fof(f288,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | is_a_theorem(implies(not(X1),not(X0))) )
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(superposition,[],[f204,f189]) ).

fof(f2473,plain,
    ( ! [X19,X20] : is_a_theorem(implies(not(implies(X19,X20)),not(not(X19))))
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(resolution,[],[f2464,f288]) ).

fof(f2464,plain,
    ( ! [X2,X1] : is_a_theorem(implies(not(X1),implies(X1,X2)))
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(forward_demodulation,[],[f2435,f1617]) ).

fof(f2435,plain,
    ( ! [X2,X1] : is_a_theorem(implies(not(X1),implies(not(not(X1)),X2)))
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(resolution,[],[f1847,f172]) ).

fof(f1847,plain,
    ( ! [X26,X27,X25] :
        ( ~ is_a_theorem(implies(implies(X27,not(X25)),X26))
        | is_a_theorem(implies(not(X25),X26)) )
    | ~ spl2_4
    | ~ spl2_6 ),
    inference(resolution,[],[f423,f200]) ).

fof(f423,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(implies(not(X2),X0))
        | is_a_theorem(implies(not(X2),X1))
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ spl2_6 ),
    inference(resolution,[],[f233,f150]) ).

fof(f233,plain,
    ( ! [X2,X0,X1] :
        ( is_a_theorem(implies(implies(not(X0),X1),implies(not(X0),X2)))
        | ~ is_a_theorem(implies(X1,X2)) )
    | ~ spl2_6 ),
    inference(resolution,[],[f174,f150]) ).

fof(f174,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X1,X2),implies(implies(not(X0),X1),implies(not(X0),X2)))),
    inference(forward_demodulation,[],[f173,f170]) ).

fof(f173,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X1,X2),implies(implies(not(X0),X1),not(not(implies(not(not(not(X0))),not(not(X2)))))))),
    inference(forward_demodulation,[],[f166,f168]) ).

fof(f166,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X1,X2),implies(implies(not(X0),X1),not(and(not(X0),not(X2)))))),
    inference(backward_demodulation,[],[f161,f163]) ).

fof(f161,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X1,X2),implies(not(and(not(X0),not(X1))),not(and(not(X0),not(X2)))))),
    inference(forward_demodulation,[],[f156,f153]) ).

fof(f156,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X1,X2),implies(not(and(not(X0),not(X1))),or(X0,X2)))),
    inference(backward_demodulation,[],[f133,f153]) ).

fof(f133,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))),
    inference(subsumption_resolution,[],[f97,f103]) ).

fof(f103,plain,
    r5,
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    r5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r5) ).

fof(f97,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2))))
      | ~ r5 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ( ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2))))
    | ~ r5 ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ( r5
   => ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))) ),
    inference(unused_predicate_definition_removal,[],[f64]) ).

fof(f64,plain,
    ( r5
  <=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X1,X2),implies(or(X0,X1),or(X0,X2)))) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ( ! [X3,X4,X5] : is_a_theorem(implies(implies(X4,X5),implies(or(X3,X4),or(X3,X5))))
  <=> r5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r5) ).

fof(f187,plain,
    spl2_1,
    inference(avatar_split_clause,[],[f115,f124]) ).

fof(f124,plain,
    ( spl2_1
  <=> r1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f115,plain,
    r1,
    inference(cnf_transformation,[],[f36]) ).

fof(f36,axiom,
    r1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_r1) ).

fof(f183,plain,
    spl2_3,
    inference(avatar_split_clause,[],[f116,f136]) ).

fof(f136,plain,
    ( spl2_3
  <=> op_implies_or ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f116,plain,
    op_implies_or,
    inference(cnf_transformation,[],[f32]) ).

fof(f32,axiom,
    op_implies_or,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',principia_op_implies_or) ).

fof(f152,plain,
    spl2_5,
    inference(avatar_split_clause,[],[f98,f145]) ).

fof(f145,plain,
    ( spl2_5
  <=> modus_ponens ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f98,plain,
    modus_ponens,
    inference(cnf_transformation,[],[f35]) ).

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

fof(f151,plain,
    ( ~ spl2_5
    | spl2_6 ),
    inference(avatar_split_clause,[],[f104,f149,f145]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( is_a_theorem(X0)
      | ~ modus_ponens
      | ~ is_a_theorem(X1)
      | ~ is_a_theorem(implies(X1,X0)) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X1,X0))
        | ~ is_a_theorem(X1)
        | is_a_theorem(X0) )
    | ~ modus_ponens ),
    inference(rectify,[],[f88]) ).

fof(f88,plain,
    ( ! [X1,X0] :
        ( ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0)
        | is_a_theorem(X1) )
    | ~ modus_ponens ),
    inference(flattening,[],[f87]) ).

fof(f87,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ modus_ponens ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,plain,
    ( modus_ponens
   => ! [X0,X1] :
        ( ( is_a_theorem(X0)
          & is_a_theorem(implies(X0,X1)) )
       => is_a_theorem(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

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

fof(f142,plain,
    ( ~ spl2_3
    | spl2_4 ),
    inference(avatar_split_clause,[],[f120,f140,f136]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( implies(X1,X0) = or(not(X1),X0)
      | ~ op_implies_or ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ( ~ op_implies_or
    | ! [X0,X1] : implies(X1,X0) = or(not(X1),X0) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,plain,
    ( op_implies_or
   => ! [X0,X1] : implies(X1,X0) = or(not(X1),X0) ),
    inference(rectify,[],[f30]) ).

fof(f30,axiom,
    ( op_implies_or
   => ! [X1,X0] : implies(X0,X1) = or(not(X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_implies_or) ).

fof(f130,plain,
    ( ~ spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f95,f128,f124]) ).

fof(f95,plain,
    ! [X0] :
      ( is_a_theorem(implies(or(X0,X0),X0))
      | ~ r1 ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ( ~ r1
    | ! [X0] : is_a_theorem(implies(or(X0,X0),X0)) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,plain,
    ( r1
   => ! [X0] : is_a_theorem(implies(or(X0,X0),X0)) ),
    inference(unused_predicate_definition_removal,[],[f63]) ).

fof(f63,plain,
    ( ! [X0] : is_a_theorem(implies(or(X0,X0),X0))
  <=> r1 ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ( r1
  <=> ! [X3] : is_a_theorem(implies(or(X3,X3),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL500+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
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 02:20:30 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (12387)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)
% 0.19/0.50  % (12379)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)
% 0.19/0.50  % (12373)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)
% 0.19/0.51  % (12367)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)
% 0.19/0.51  % (12371)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (12365)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)
% 0.19/0.51  % (12381)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52  % (12374)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (12390)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)
% 0.19/0.52  % (12371)Instruction limit reached!
% 0.19/0.52  % (12371)------------------------------
% 0.19/0.52  % (12371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (12371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (12371)Termination reason: Unknown
% 0.19/0.52  % (12371)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (12371)Memory used [KB]: 5628
% 0.19/0.52  % (12371)Time elapsed: 0.068 s
% 0.19/0.52  % (12371)Instructions burned: 8 (million)
% 0.19/0.52  % (12371)------------------------------
% 0.19/0.52  % (12371)------------------------------
% 0.19/0.52  % (12369)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)
% 0.19/0.53  % (12366)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)
% 0.19/0.53  % (12364)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)
% 0.19/0.53  % (12368)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (12370)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)
% 0.19/0.53  % (12384)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)
% 0.19/0.53  % (12382)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  TRYING [2]
% 0.19/0.53  % (12372)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (12372)Instruction limit reached!
% 0.19/0.53  % (12372)------------------------------
% 0.19/0.53  % (12372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (12372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (12372)Termination reason: Unknown
% 0.19/0.53  % (12372)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (12372)Memory used [KB]: 5500
% 0.19/0.53  % (12372)Time elapsed: 0.002 s
% 0.19/0.53  % (12372)Instructions burned: 3 (million)
% 0.19/0.53  % (12372)------------------------------
% 0.19/0.53  % (12372)------------------------------
% 0.19/0.54  TRYING [1]
% 0.19/0.54  TRYING [2]
% 0.19/0.54  % (12392)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54  % (12375)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)
% 0.19/0.54  % (12383)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)
% 0.19/0.54  % (12389)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  % (12385)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54  % (12388)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54  TRYING [3]
% 0.19/0.54  % (12377)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (12376)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.55  % (12380)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)
% 0.19/0.55  % (12378)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)
% 0.19/0.55  TRYING [1]
% 0.19/0.55  TRYING [2]
% 0.19/0.55  % (12391)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)
% 0.19/0.55  % (12393)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)
% 0.19/0.55  % (12386)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)
% 0.19/0.55  TRYING [4]
% 0.19/0.56  TRYING [3]
% 0.19/0.56  TRYING [3]
% 1.78/0.59  % (12365)Instruction limit reached!
% 1.78/0.59  % (12365)------------------------------
% 1.78/0.59  % (12365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.59  TRYING [4]
% 1.78/0.59  % (12373)Instruction limit reached!
% 1.78/0.59  % (12373)------------------------------
% 1.78/0.59  % (12373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.59  % (12365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.59  % (12365)Termination reason: Unknown
% 1.78/0.59  % (12365)Termination phase: Saturation
% 1.78/0.59  
% 1.78/0.59  % (12365)Memory used [KB]: 6652
% 1.78/0.59  % (12365)Time elapsed: 0.166 s
% 1.78/0.59  % (12365)Instructions burned: 50 (million)
% 1.78/0.59  % (12365)------------------------------
% 1.78/0.59  % (12365)------------------------------
% 1.78/0.59  % (12373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.59  % (12373)Termination reason: Unknown
% 1.78/0.59  % (12373)Termination phase: Saturation
% 1.78/0.59  
% 1.78/0.59  % (12373)Memory used [KB]: 2046
% 1.78/0.59  % (12370)Instruction limit reached!
% 1.78/0.59  % (12370)------------------------------
% 1.78/0.59  % (12370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.59  % (12373)Time elapsed: 0.165 s
% 1.78/0.59  % (12370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.59  % (12370)Termination reason: Unknown
% 1.78/0.59  % (12370)Termination phase: Finite model building constraint generation
% 1.78/0.59  
% 1.78/0.59  % (12370)Memory used [KB]: 7164
% 1.78/0.59  % (12370)Time elapsed: 0.166 s
% 1.78/0.59  % (12370)Instructions burned: 52 (million)
% 1.78/0.59  % (12370)------------------------------
% 1.78/0.59  % (12370)------------------------------
% 1.78/0.59  % (12373)Instructions burned: 51 (million)
% 1.78/0.59  % (12373)------------------------------
% 1.78/0.59  % (12373)------------------------------
% 1.78/0.60  TRYING [4]
% 1.93/0.61  % (12381)Instruction limit reached!
% 1.93/0.61  % (12381)------------------------------
% 1.93/0.61  % (12381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61  % (12381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61  % (12381)Termination reason: Unknown
% 1.93/0.61  % (12381)Termination phase: Finite model building SAT solving
% 1.93/0.61  
% 1.93/0.61  % (12381)Memory used [KB]: 7675
% 1.93/0.61  % (12381)Time elapsed: 0.185 s
% 1.93/0.61  % (12381)Instructions burned: 60 (million)
% 1.93/0.61  % (12381)------------------------------
% 1.93/0.61  % (12381)------------------------------
% 1.93/0.61  % (12366)Instruction limit reached!
% 1.93/0.61  % (12366)------------------------------
% 1.93/0.61  % (12366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61  % (12366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61  % (12366)Termination reason: Unknown
% 1.93/0.61  % (12366)Termination phase: Saturation
% 1.93/0.61  
% 1.93/0.61  % (12366)Memory used [KB]: 1791
% 1.93/0.61  % (12366)Time elapsed: 0.165 s
% 1.93/0.61  % (12366)Instructions burned: 38 (million)
% 1.93/0.61  % (12366)------------------------------
% 1.93/0.61  % (12366)------------------------------
% 1.93/0.61  % (12369)Instruction limit reached!
% 1.93/0.61  % (12369)------------------------------
% 1.93/0.61  % (12369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61  % (12369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61  % (12369)Termination reason: Unknown
% 1.93/0.61  % (12369)Termination phase: Saturation
% 1.93/0.61  
% 1.93/0.61  % (12369)Memory used [KB]: 6268
% 1.93/0.61  % (12369)Time elapsed: 0.210 s
% 1.93/0.61  % (12369)Instructions burned: 48 (million)
% 1.93/0.61  % (12369)------------------------------
% 1.93/0.61  % (12369)------------------------------
% 1.93/0.61  % (12379)Instruction limit reached!
% 1.93/0.61  % (12379)------------------------------
% 1.93/0.61  % (12379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61  % (12379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61  % (12379)Termination reason: Unknown
% 1.93/0.61  % (12379)Termination phase: Saturation
% 1.93/0.61  
% 1.93/0.61  % (12379)Memory used [KB]: 2302
% 1.93/0.61  % (12379)Time elapsed: 0.151 s
% 1.93/0.61  % (12379)Instructions burned: 76 (million)
% 1.93/0.61  % (12379)------------------------------
% 1.93/0.61  % (12379)------------------------------
% 1.93/0.61  % (12367)Instruction limit reached!
% 1.93/0.61  % (12367)------------------------------
% 1.93/0.61  % (12367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61  % (12367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61  % (12367)Termination reason: Unknown
% 1.93/0.61  % (12367)Termination phase: Saturation
% 1.93/0.61  
% 1.93/0.61  % (12367)Memory used [KB]: 6780
% 1.93/0.61  % (12367)Time elapsed: 0.216 s
% 1.93/0.61  % (12367)Instructions burned: 52 (million)
% 1.93/0.61  % (12367)------------------------------
% 1.93/0.61  % (12367)------------------------------
% 1.93/0.62  % (12374)Instruction limit reached!
% 1.93/0.62  % (12374)------------------------------
% 1.93/0.62  % (12374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.62  % (12374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.62  % (12374)Termination reason: Unknown
% 1.93/0.62  % (12374)Termination phase: Saturation
% 1.93/0.62  
% 1.93/0.62  % (12374)Memory used [KB]: 6780
% 1.93/0.62  % (12374)Time elapsed: 0.199 s
% 1.93/0.62  % (12374)Instructions burned: 51 (million)
% 1.93/0.62  % (12374)------------------------------
% 1.93/0.62  % (12374)------------------------------
% 2.15/0.63  % (12390)Instruction limit reached!
% 2.15/0.63  % (12390)------------------------------
% 2.15/0.63  % (12390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.63  % (12390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.63  % (12390)Termination reason: Unknown
% 2.15/0.63  % (12390)Termination phase: Saturation
% 2.15/0.63  
% 2.15/0.63  % (12390)Memory used [KB]: 7036
% 2.15/0.63  % (12390)Time elapsed: 0.034 s
% 2.15/0.63  % (12390)Instructions burned: 68 (million)
% 2.15/0.63  % (12390)------------------------------
% 2.15/0.63  % (12390)------------------------------
% 2.15/0.63  % (12461)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)
% 2.15/0.64  % (12368)Instruction limit reached!
% 2.15/0.64  % (12368)------------------------------
% 2.15/0.64  % (12368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.64  % (12368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.64  % (12368)Termination reason: Unknown
% 2.15/0.64  % (12368)Termination phase: Saturation
% 2.15/0.64  
% 2.15/0.64  % (12368)Memory used [KB]: 6652
% 2.15/0.64  % (12368)Time elapsed: 0.233 s
% 2.15/0.64  % (12368)Instructions burned: 51 (million)
% 2.15/0.64  % (12368)------------------------------
% 2.15/0.64  % (12368)------------------------------
% 2.15/0.65  % (12378)Instruction limit reached!
% 2.15/0.65  % (12378)------------------------------
% 2.15/0.65  % (12378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.65  % (12378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.65  % (12378)Termination reason: Unknown
% 2.15/0.65  % (12378)Termination phase: Saturation
% 2.15/0.65  
% 2.15/0.65  % (12378)Memory used [KB]: 7036
% 2.15/0.65  % (12378)Time elapsed: 0.035 s
% 2.15/0.65  % (12378)Instructions burned: 70 (million)
% 2.15/0.65  % (12378)------------------------------
% 2.15/0.65  % (12378)------------------------------
% 2.15/0.67  % (12387)First to succeed.
% 2.15/0.68  % (12387)Refutation found. Thanks to Tanya!
% 2.15/0.68  % SZS status Theorem for theBenchmark
% 2.15/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 2.15/0.68  % (12387)------------------------------
% 2.15/0.68  % (12387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.68  % (12387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.68  % (12387)Termination reason: Refutation
% 2.15/0.68  
% 2.15/0.68  % (12387)Memory used [KB]: 7291
% 2.15/0.68  % (12387)Time elapsed: 0.218 s
% 2.15/0.68  % (12387)Instructions burned: 126 (million)
% 2.15/0.68  % (12387)------------------------------
% 2.15/0.68  % (12387)------------------------------
% 2.15/0.68  % (12363)Success in time 0.324 s
%------------------------------------------------------------------------------