TSTP Solution File: LCL512+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL512+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n029.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 : Tue Apr 30 13:42:37 EDT 2024

% Result   : Theorem 0.20s 0.38s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  125 (  30 unt;   0 def)
%            Number of atoms       :  258 (  22 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  222 (  89   ~;  84   |;   2   &)
%                                         (  33 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   36 (  34 usr;  34 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :  128 ( 124   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f244,plain,
    $false,
    inference(avatar_sat_refutation,[],[f102,f107,f112,f117,f122,f127,f132,f137,f142,f146,f150,f154,f159,f163,f169,f174,f187,f193,f197,f202,f214,f221,f225,f229,f243]) ).

fof(f243,plain,
    ( spl2_13
    | ~ spl2_24 ),
    inference(avatar_contradiction_clause,[],[f240]) ).

fof(f240,plain,
    ( $false
    | spl2_13
    | ~ spl2_24 ),
    inference(resolution,[],[f228,f158]) ).

fof(f158,plain,
    ( ~ is_a_theorem(implies(equiv(sK0,sK1),implies(sK0,sK1)))
    | spl2_13 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f156,plain,
    ( spl2_13
  <=> is_a_theorem(implies(equiv(sK0,sK1),implies(sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).

fof(f228,plain,
    ( ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))
    | ~ spl2_24 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f227,plain,
    ( spl2_24
  <=> ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).

fof(f229,plain,
    ( spl2_24
    | ~ spl2_11
    | ~ spl2_17 ),
    inference(avatar_split_clause,[],[f189,f185,f148,f227]) ).

fof(f148,plain,
    ( spl2_11
  <=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).

fof(f185,plain,
    ( spl2_17
  <=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).

fof(f189,plain,
    ( ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))
    | ~ spl2_11
    | ~ spl2_17 ),
    inference(superposition,[],[f149,f186]) ).

fof(f186,plain,
    ( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
    | ~ spl2_17 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f149,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
    | ~ spl2_11 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f225,plain,
    ( spl2_23
    | ~ spl2_10
    | ~ spl2_17 ),
    inference(avatar_split_clause,[],[f188,f185,f144,f223]) ).

fof(f223,plain,
    ( spl2_23
  <=> ! [X0] : is_a_theorem(implies(implies(X0,X0),equiv(X0,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).

fof(f144,plain,
    ( spl2_10
  <=> ! [X0] : is_a_theorem(implies(X0,and(X0,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f188,plain,
    ( ! [X0] : is_a_theorem(implies(implies(X0,X0),equiv(X0,X0)))
    | ~ spl2_10
    | ~ spl2_17 ),
    inference(superposition,[],[f145,f186]) ).

fof(f145,plain,
    ( ! [X0] : is_a_theorem(implies(X0,and(X0,X0)))
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f221,plain,
    ( spl2_22
    | ~ spl2_15
    | ~ spl2_16 ),
    inference(avatar_split_clause,[],[f179,f172,f167,f219]) ).

fof(f219,plain,
    ( spl2_22
  <=> ! [X0,X1] : or(X0,X1) = implies(not(X0),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).

fof(f167,plain,
    ( spl2_15
  <=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).

fof(f172,plain,
    ( spl2_16
  <=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).

fof(f179,plain,
    ( ! [X0,X1] : or(X0,X1) = implies(not(X0),X1)
    | ~ spl2_15
    | ~ spl2_16 ),
    inference(superposition,[],[f173,f168]) ).

fof(f168,plain,
    ( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
    | ~ spl2_15 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f173,plain,
    ( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
    | ~ spl2_16 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f214,plain,
    ( spl2_21
    | ~ spl2_11
    | ~ spl2_14 ),
    inference(avatar_split_clause,[],[f165,f161,f148,f212]) ).

fof(f212,plain,
    ( spl2_21
  <=> ! [X0,X1] :
        ( ~ is_a_theorem(and(X0,X1))
        | is_a_theorem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).

fof(f161,plain,
    ( spl2_14
  <=> ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).

fof(f165,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(and(X0,X1))
        | is_a_theorem(X0) )
    | ~ spl2_11
    | ~ spl2_14 ),
    inference(resolution,[],[f162,f149]) ).

fof(f162,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0)
        | is_a_theorem(X1) )
    | ~ spl2_14 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f202,plain,
    ( spl2_20
    | ~ spl2_15
    | ~ spl2_16
    | ~ spl2_19 ),
    inference(avatar_split_clause,[],[f198,f195,f172,f167,f200]) ).

fof(f200,plain,
    ( spl2_20
  <=> ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),or(and(X1,X2),not(and(X2,X0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).

fof(f195,plain,
    ( spl2_19
  <=> ! [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_19])]) ).

fof(f198,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),or(and(X1,X2),not(and(X2,X0)))))
    | ~ spl2_15
    | ~ spl2_16
    | ~ spl2_19 ),
    inference(forward_demodulation,[],[f196,f179]) ).

fof(f196,plain,
    ( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))
    | ~ spl2_19 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f197,plain,
    ( ~ spl2_4
    | spl2_19 ),
    inference(avatar_split_clause,[],[f97,f195,f114]) ).

fof(f114,plain,
    ( spl2_4
  <=> kn3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f97,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))
      | ~ kn3 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))
    | ~ kn3 ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,plain,
    ( kn3
   => ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))) ),
    inference(unused_predicate_definition_removal,[],[f56]) ).

fof(f56,plain,
    ( kn3
  <=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ( kn3
  <=> ! [X3,X4,X5] : 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(f193,plain,
    ( spl2_18
    | ~ spl2_10
    | ~ spl2_14 ),
    inference(avatar_split_clause,[],[f164,f161,f144,f191]) ).

fof(f191,plain,
    ( spl2_18
  <=> ! [X0] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(and(X0,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).

fof(f164,plain,
    ( ! [X0] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(and(X0,X0)) )
    | ~ spl2_10
    | ~ spl2_14 ),
    inference(resolution,[],[f162,f145]) ).

fof(f187,plain,
    ( ~ spl2_9
    | spl2_17 ),
    inference(avatar_split_clause,[],[f91,f185,f139]) ).

fof(f139,plain,
    ( spl2_9
  <=> op_equiv ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
      | ~ op_equiv ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,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/sandbox/benchmark/theBenchmark.p',op_equiv) ).

fof(f174,plain,
    ( ~ spl2_7
    | spl2_16 ),
    inference(avatar_split_clause,[],[f90,f172,f129]) ).

fof(f129,plain,
    ( spl2_7
  <=> op_or ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( or(X0,X1) = not(and(not(X0),not(X1)))
      | ~ op_or ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
    | ~ op_or ),
    inference(ennf_transformation,[],[f27]) ).

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

fof(f169,plain,
    ( ~ spl2_8
    | spl2_15 ),
    inference(avatar_split_clause,[],[f89,f167,f134]) ).

fof(f134,plain,
    ( spl2_8
  <=> op_implies_and ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = not(and(X0,not(X1)))
      | ~ op_implies_and ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
    | ~ op_implies_and ),
    inference(ennf_transformation,[],[f29]) ).

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

fof(f163,plain,
    ( ~ spl2_6
    | spl2_14 ),
    inference(avatar_split_clause,[],[f96,f161,f124]) ).

fof(f124,plain,
    ( spl2_6
  <=> modus_ponens ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( is_a_theorem(X1)
      | ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | ~ modus_ponens ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0) )
    | ~ modus_ponens ),
    inference(flattening,[],[f72]) ).

fof(f72,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0) )
    | ~ modus_ponens ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,plain,
    ( modus_ponens
   => ! [X0,X1] :
        ( ( is_a_theorem(implies(X0,X1))
          & is_a_theorem(X0) )
       => is_a_theorem(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

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

fof(f159,plain,
    ( ~ spl2_13
    | spl2_1 ),
    inference(avatar_split_clause,[],[f92,f99,f156]) ).

fof(f99,plain,
    ( spl2_1
  <=> equivalence_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f92,plain,
    ( equivalence_1
    | ~ is_a_theorem(implies(equiv(sK0,sK1),implies(sK0,sK1))) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ( equivalence_1
    | ~ is_a_theorem(implies(equiv(sK0,sK1),implies(sK0,sK1))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f68,f75]) ).

fof(f75,plain,
    ( ? [X0,X1] : ~ is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))
   => ~ is_a_theorem(implies(equiv(sK0,sK1),implies(sK0,sK1))) ),
    introduced(choice_axiom,[]) ).

fof(f68,plain,
    ( equivalence_1
    | ? [X0,X1] : ~ is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ( ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))
   => equivalence_1 ),
    inference(unused_predicate_definition_removal,[],[f13]) ).

fof(f13,axiom,
    ( equivalence_1
  <=> ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence_1) ).

fof(f154,plain,
    ( ~ spl2_5
    | spl2_12 ),
    inference(avatar_split_clause,[],[f95,f152,f119]) ).

fof(f119,plain,
    ( spl2_5
  <=> substitution_of_equivalents ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f152,plain,
    ( spl2_12
  <=> ! [X0,X1] :
        ( X0 = X1
        | ~ is_a_theorem(equiv(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ is_a_theorem(equiv(X0,X1))
      | ~ substitution_of_equivalents ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ( ! [X0,X1] :
        ( X0 = X1
        | ~ is_a_theorem(equiv(X0,X1)) )
    | ~ substitution_of_equivalents ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,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/sandbox/benchmark/theBenchmark.p',substitution_of_equivalents) ).

fof(f150,plain,
    ( ~ spl2_3
    | spl2_11 ),
    inference(avatar_split_clause,[],[f94,f148,f109]) ).

fof(f109,plain,
    ( spl2_3
  <=> kn2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(and(X0,X1),X0))
      | ~ kn2 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
    | ~ kn2 ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,plain,
    ( kn2
   => ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
    inference(unused_predicate_definition_removal,[],[f55]) ).

fof(f55,plain,
    ( kn2
  <=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
    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(f146,plain,
    ( ~ spl2_2
    | spl2_10 ),
    inference(avatar_split_clause,[],[f93,f144,f104]) ).

fof(f104,plain,
    ( spl2_2
  <=> kn1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f93,plain,
    ! [X0] :
      ( is_a_theorem(implies(X0,and(X0,X0)))
      | ~ kn1 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ( ! [X0] : is_a_theorem(implies(X0,and(X0,X0)))
    | ~ kn1 ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,plain,
    ( kn1
   => ! [X0] : is_a_theorem(implies(X0,and(X0,X0))) ),
    inference(unused_predicate_definition_removal,[],[f54]) ).

fof(f54,plain,
    ( kn1
  <=> ! [X0] : is_a_theorem(implies(X0,and(X0,X0))) ),
    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(f142,plain,
    spl2_9,
    inference(avatar_split_clause,[],[f85,f139]) ).

fof(f85,plain,
    op_equiv,
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    op_equiv,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_op_equiv) ).

fof(f137,plain,
    spl2_8,
    inference(avatar_split_clause,[],[f84,f134]) ).

fof(f84,plain,
    op_implies_and,
    inference(cnf_transformation,[],[f41]) ).

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

fof(f132,plain,
    spl2_7,
    inference(avatar_split_clause,[],[f83,f129]) ).

fof(f83,plain,
    op_or,
    inference(cnf_transformation,[],[f40]) ).

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

fof(f127,plain,
    spl2_6,
    inference(avatar_split_clause,[],[f82,f124]) ).

fof(f82,plain,
    modus_ponens,
    inference(cnf_transformation,[],[f35]) ).

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

fof(f122,plain,
    spl2_5,
    inference(avatar_split_clause,[],[f81,f119]) ).

fof(f81,plain,
    substitution_of_equivalents,
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    substitution_of_equivalents,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',substitution_of_equivalents) ).

fof(f117,plain,
    spl2_4,
    inference(avatar_split_clause,[],[f80,f114]) ).

fof(f80,plain,
    kn3,
    inference(cnf_transformation,[],[f38]) ).

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

fof(f112,plain,
    spl2_3,
    inference(avatar_split_clause,[],[f79,f109]) ).

fof(f79,plain,
    kn2,
    inference(cnf_transformation,[],[f37]) ).

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

fof(f107,plain,
    spl2_2,
    inference(avatar_split_clause,[],[f78,f104]) ).

fof(f78,plain,
    kn1,
    inference(cnf_transformation,[],[f36]) ).

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

fof(f102,plain,
    ~ spl2_1,
    inference(avatar_split_clause,[],[f77,f99]) ).

fof(f77,plain,
    ~ equivalence_1,
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ~ equivalence_1,
    inference(flattening,[],[f44]) ).

fof(f44,negated_conjecture,
    ~ equivalence_1,
    inference(negated_conjecture,[],[f43]) ).

fof(f43,conjecture,
    equivalence_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_equivalence_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : LCL512+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Apr 29 23:19:20 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (8963)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37  % (8968)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [2]
% 0.20/0.38  TRYING [3]
% 0.20/0.38  % (8967)WARNING: value z3 for option sas not known
% 0.20/0.38  % (8966)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38  % (8965)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38  % (8967)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.38  % (8970)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.38  % (8971)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.38  % (8972)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.38  TRYING [1]
% 0.20/0.38  % (8970)First to succeed.
% 0.20/0.38  TRYING [4]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  TRYING [1]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  % (8967)Also succeeded, but the first one will report.
% 0.20/0.38  % (8972)Also succeeded, but the first one will report.
% 0.20/0.38  % (8970)Refutation found. Thanks to Tanya!
% 0.20/0.38  % SZS status Theorem for theBenchmark
% 0.20/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39  % (8970)------------------------------
% 0.20/0.39  % (8970)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.39  % (8970)Termination reason: Refutation
% 0.20/0.39  
% 0.20/0.39  % (8970)Memory used [KB]: 938
% 0.20/0.39  % (8970)Time elapsed: 0.007 s
% 0.20/0.39  % (8970)Instructions burned: 8 (million)
% 0.20/0.39  % (8970)------------------------------
% 0.20/0.39  % (8970)------------------------------
% 0.20/0.39  % (8963)Success in time 0.025 s
%------------------------------------------------------------------------------