TSTP Solution File: LCL537+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL537+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 : n004.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 : Sun May  5 07:47:34 EDT 2024

% Result   : Theorem 127.43s 18.50s
% Output   : Refutation 127.43s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f157596,plain,
    $false,
    inference(resolution,[],[f152040,f208]) ).

fof(f208,plain,
    ~ is_a_theorem(implies(possibly(sK0),necessarily(possibly(sK0)))),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183]) ).

fof(f183,plain,
    ( axiom_5
    | ~ is_a_theorem(implies(possibly(sK0),necessarily(possibly(sK0)))) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ( axiom_5
    | ~ is_a_theorem(implies(possibly(sK0),necessarily(possibly(sK0)))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f130,f152]) ).

fof(f152,plain,
    ( ? [X0] : ~ is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
   => ~ is_a_theorem(implies(possibly(sK0),necessarily(possibly(sK0)))) ),
    introduced(choice_axiom,[]) ).

fof(f130,plain,
    ( axiom_5
    | ? [X0] : ~ is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
    inference(ennf_transformation,[],[f100]) ).

fof(f100,plain,
    ( ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
   => axiom_5 ),
    inference(unused_predicate_definition_removal,[],[f58]) ).

fof(f58,axiom,
    ( axiom_5
  <=> ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f207,plain,
    ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
      | ~ op_equiv ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,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(f206,plain,
    ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( or(X0,X1) = not(and(not(X0),not(X1)))
      | ~ op_or ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,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/sandbox2/benchmark/theBenchmark.p',op_or) ).

fof(f205,plain,
    ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180]) ).

fof(f180,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = not(and(X0,not(X1)))
      | ~ op_implies_and ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,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/sandbox2/benchmark/theBenchmark.p',op_implies_and) ).

fof(f204,plain,
    ! [X0] : possibly(X0) = not(necessarily(not(X0))),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179]) ).

fof(f179,plain,
    ! [X0] :
      ( possibly(X0) = not(necessarily(not(X0)))
      | ~ op_possibly ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( ! [X0] : possibly(X0) = not(necessarily(not(X0)))
    | ~ op_possibly ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,axiom,
    ( op_possibly
   => ! [X0] : possibly(X0) = not(necessarily(not(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',op_possibly) ).

fof(f178,plain,
    op_possibly,
    inference(cnf_transformation,[],[f77]) ).

fof(f77,axiom,
    op_possibly,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km4b_op_possibly) ).

fof(f177,plain,
    op_implies_and,
    inference(cnf_transformation,[],[f33]) ).

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

fof(f176,plain,
    op_equiv,
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    op_equiv,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_equiv) ).

fof(f175,plain,
    op_or,
    inference(cnf_transformation,[],[f32]) ).

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

fof(f174,plain,
    and_3,
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    and_3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_3) ).

fof(f173,plain,
    modus_ponens,
    inference(cnf_transformation,[],[f35]) ).

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

fof(f172,plain,
    modus_tollens,
    inference(cnf_transformation,[],[f36]) ).

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

fof(f171,plain,
    implies_1,
    inference(cnf_transformation,[],[f37]) ).

fof(f37,axiom,
    implies_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_implies_1) ).

fof(f170,plain,
    implies_2,
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    implies_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_implies_2) ).

fof(f169,plain,
    implies_3,
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    implies_3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_implies_3) ).

fof(f168,plain,
    and_1,
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    and_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_1) ).

fof(f167,plain,
    and_2,
    inference(cnf_transformation,[],[f41]) ).

fof(f41,axiom,
    and_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_2) ).

fof(f166,plain,
    or_1,
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    or_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_or_1) ).

fof(f165,plain,
    or_2,
    inference(cnf_transformation,[],[f44]) ).

fof(f44,axiom,
    or_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_or_2) ).

fof(f164,plain,
    or_3,
    inference(cnf_transformation,[],[f45]) ).

fof(f45,axiom,
    or_3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_or_3) ).

fof(f163,plain,
    equivalence_1,
    inference(cnf_transformation,[],[f46]) ).

fof(f46,axiom,
    equivalence_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_equivalence_1) ).

fof(f162,plain,
    equivalence_2,
    inference(cnf_transformation,[],[f47]) ).

fof(f47,axiom,
    equivalence_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_equivalence_2) ).

fof(f161,plain,
    equivalence_3,
    inference(cnf_transformation,[],[f48]) ).

fof(f48,axiom,
    equivalence_3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_equivalence_3) ).

fof(f160,plain,
    substitution_of_equivalents,
    inference(cnf_transformation,[],[f49]) ).

fof(f49,axiom,
    substitution_of_equivalents,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',substitution_of_equivalents) ).

fof(f159,plain,
    necessitation,
    inference(cnf_transformation,[],[f78]) ).

fof(f78,axiom,
    necessitation,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km4b_necessitation) ).

fof(f158,plain,
    axiom_K,
    inference(cnf_transformation,[],[f79]) ).

fof(f79,axiom,
    axiom_K,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km4b_axiom_K) ).

fof(f157,plain,
    axiom_M,
    inference(cnf_transformation,[],[f80]) ).

fof(f80,axiom,
    axiom_M,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km4b_axiom_M) ).

fof(f156,plain,
    axiom_4,
    inference(cnf_transformation,[],[f81]) ).

fof(f81,axiom,
    axiom_4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km4b_axiom_4) ).

fof(f155,plain,
    axiom_B,
    inference(cnf_transformation,[],[f82]) ).

fof(f82,axiom,
    axiom_B,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km4b_axiom_B) ).

fof(f154,plain,
    ~ axiom_5,
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ~ axiom_5,
    inference(flattening,[],[f84]) ).

fof(f84,negated_conjecture,
    ~ axiom_5,
    inference(negated_conjecture,[],[f83]) ).

fof(f83,conjecture,
    axiom_5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',km5_axiom_5) ).

fof(f152040,plain,
    ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))),
    inference(superposition,[],[f210,f151801]) ).

fof(f151801,plain,
    ! [X1] : possibly(X1) = possibly(possibly(X1)),
    inference(forward_demodulation,[],[f151800,f204]) ).

fof(f151800,plain,
    ! [X1] : not(necessarily(not(X1))) = possibly(possibly(X1)),
    inference(forward_demodulation,[],[f151799,f140812]) ).

fof(f140812,plain,
    ! [X0] : necessarily(X0) = necessarily(necessarily(X0)),
    inference(subsumption_resolution,[],[f140630,f209]) ).

fof(f209,plain,
    ! [X0] : is_a_theorem(implies(necessarily(X0),X0)),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183,f208,f184]) ).

fof(f184,plain,
    ! [X0] :
      ( is_a_theorem(implies(necessarily(X0),X0))
      | ~ axiom_M ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ( ! [X0] : is_a_theorem(implies(necessarily(X0),X0))
    | ~ axiom_M ),
    inference(ennf_transformation,[],[f103]) ).

fof(f103,plain,
    ( axiom_M
   => ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
    inference(unused_predicate_definition_removal,[],[f55]) ).

fof(f55,axiom,
    ( axiom_M
  <=> ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_M) ).

fof(f140630,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(necessarily(necessarily(X0)),necessarily(X0)))
      | necessarily(X0) = necessarily(necessarily(X0)) ),
    inference(resolution,[],[f5047,f211]) ).

fof(f211,plain,
    ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183,f208,f184,f209,f185,f210,f186]) ).

fof(f186,plain,
    ! [X0] :
      ( is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))
      | ~ axiom_4 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ( ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))
    | ~ axiom_4 ),
    inference(ennf_transformation,[],[f102]) ).

fof(f102,plain,
    ( axiom_4
   => ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
    inference(unused_predicate_definition_removal,[],[f56]) ).

fof(f56,axiom,
    ( axiom_4
  <=> ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f185,plain,
    ! [X0] :
      ( is_a_theorem(implies(X0,necessarily(possibly(X0))))
      | ~ axiom_B ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ( ! [X0] : is_a_theorem(implies(X0,necessarily(possibly(X0))))
    | ~ axiom_B ),
    inference(ennf_transformation,[],[f101]) ).

fof(f101,plain,
    ( axiom_B
   => ! [X0] : is_a_theorem(implies(X0,necessarily(possibly(X0)))) ),
    inference(unused_predicate_definition_removal,[],[f57]) ).

fof(f57,axiom,
    ( axiom_B
  <=> ! [X0] : is_a_theorem(implies(X0,necessarily(possibly(X0)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_B) ).

fof(f5047,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X1,X0))
      | ~ is_a_theorem(implies(X0,X1))
      | X0 = X1 ),
    inference(resolution,[],[f1496,f225]) ).

fof(f225,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(equiv(X0,X1))
      | X0 = X1 ),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183,f208,f184,f209,f185,f210,f186,f211,f187,f212,f188,f213,f189,f214,f190,f215,f191,f216,f192,f217,f193,f218,f194,f219,f195,f220,f196,f221,f197,f222,f198,f223,f199,f224,f200]) ).

fof(f200,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ is_a_theorem(equiv(X0,X1))
      | ~ substitution_of_equivalents ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ( ! [X0,X1] :
        ( X0 = X1
        | ~ is_a_theorem(equiv(X0,X1)) )
    | ~ substitution_of_equivalents ),
    inference(ennf_transformation,[],[f119]) ).

fof(f119,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(f224,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183,f208,f184,f209,f185,f210,f186,f211,f187,f212,f188,f213,f189,f214,f190,f215,f191,f216,f192,f217,f193,f218,f194,f219,f195,f220,f196,f221,f197,f222,f198,f223,f199]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))
      | ~ equivalence_3 ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))
    | ~ equivalence_3 ),
    inference(ennf_transformation,[],[f106]) ).

fof(f106,plain,
    ( equivalence_3
   => ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ),
    inference(unused_predicate_definition_removal,[],[f15]) ).

fof(f15,axiom,
    ( equivalence_3
  <=> ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalence_3) ).

fof(f223,plain,
    ! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183,f208,f184,f209,f185,f210,f186,f211,f187,f212,f188,f213,f189,f214,f190,f215,f191,f216,f192,f217,f193,f218,f194,f219,f195,f220,f196,f221,f197,f222,f198]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))
      | ~ axiom_K ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ( ! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))
    | ~ axiom_K ),
    inference(ennf_transformation,[],[f104]) ).

fof(f104,plain,
    ( axiom_K
   => ! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))) ),
    inference(unused_predicate_definition_removal,[],[f54]) ).

fof(f54,axiom,
    ( axiom_K
  <=> ! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_K) ).

fof(f222,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183,f208,f184,f209,f185,f210,f186,f211,f187,f212,f188,f213,f189,f214,f190,f215,f191,f216,f192,f217,f193,f218,f194,f219,f195,f220,f196,f221,f197]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
      | ~ implies_2 ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
    | ~ implies_2 ),
    inference(ennf_transformation,[],[f116]) ).

fof(f116,plain,
    ( implies_2
   => ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f5]) ).

fof(f5,axiom,
    ( implies_2
  <=> ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_2) ).

fof(f221,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183,f208,f184,f209,f185,f210,f186,f211,f187,f212,f188,f213,f189,f214,f190,f215,f191,f216,f192,f217,f193,f218,f194,f219,f195,f220,f196]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
      | ~ modus_tollens ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ( ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1)))
    | ~ modus_tollens ),
    inference(ennf_transformation,[],[f118]) ).

fof(f118,plain,
    ( modus_tollens
   => ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f3]) ).

fof(f3,axiom,
    ( modus_tollens
  <=> ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modus_tollens) ).

fof(f220,plain,
    ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183,f208,f184,f209,f185,f210,f186,f211,f187,f212,f188,f213,f189,f214,f190,f215,f191,f216,f192,f217,f193,f218,f194,f219,f195]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
      | ~ equivalence_2 ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ( ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
    | ~ equivalence_2 ),
    inference(ennf_transformation,[],[f107]) ).

fof(f107,plain,
    ( equivalence_2
   => ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
    inference(unused_predicate_definition_removal,[],[f14]) ).

fof(f14,axiom,
    ( equivalence_2
  <=> ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalence_2) ).

fof(f219,plain,
    ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183,f208,f184,f209,f185,f210,f186,f211,f187,f212,f188,f213,f189,f214,f190,f215,f191,f216,f192,f217,f193,f218,f194]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))
      | ~ equivalence_1 ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ( ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X0,X1)))
    | ~ equivalence_1 ),
    inference(ennf_transformation,[],[f108]) ).

fof(f108,plain,
    ( equivalence_1
   => ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
    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/sandbox2/benchmark/theBenchmark.p',equivalence_1) ).

fof(f218,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183,f208,f184,f209,f185,f210,f186,f211,f187,f212,f188,f213,f189,f214,f190,f215,f191,f216,f192,f217,f193]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
      | ~ and_3 ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
    | ~ and_3 ),
    inference(ennf_transformation,[],[f112]) ).

fof(f112,plain,
    ( and_3
   => ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
    inference(unused_predicate_definition_removal,[],[f9]) ).

fof(f9,axiom,
    ( and_3
  <=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_3) ).

fof(f217,plain,
    ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183,f208,f184,f209,f185,f210,f186,f211,f187,f212,f188,f213,f189,f214,f190,f215,f191,f216,f192]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(and(X0,X1),X0))
      | ~ and_1 ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
    | ~ and_1 ),
    inference(ennf_transformation,[],[f114]) ).

fof(f114,plain,
    ( and_1
   => ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
    inference(unused_predicate_definition_removal,[],[f7]) ).

fof(f7,axiom,
    ( and_1
  <=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_1) ).

fof(f216,plain,
    ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183,f208,f184,f209,f185,f210,f186,f211,f187,f212,f188,f213,f189,f214,f190,f215,f191]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(and(X0,X1),X1))
      | ~ and_2 ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1))
    | ~ and_2 ),
    inference(ennf_transformation,[],[f113]) ).

fof(f113,plain,
    ( and_2
   => ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
    inference(unused_predicate_definition_removal,[],[f8]) ).

fof(f8,axiom,
    ( and_2
  <=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_2) ).

fof(f215,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183,f208,f184,f209,f185,f210,f186,f211,f187,f212,f188,f213,f189,f214,f190]) ).

fof(f190,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,X0)))
      | ~ implies_1 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
    | ~ implies_1 ),
    inference(ennf_transformation,[],[f117]) ).

fof(f117,plain,
    ( implies_1
   => ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
    inference(unused_predicate_definition_removal,[],[f4]) ).

fof(f4,axiom,
    ( implies_1
  <=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_1) ).

fof(f214,plain,
    ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183,f208,f184,f209,f185,f210,f186,f211,f187,f212,f188,f213,f189]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X1,or(X0,X1)))
      | ~ or_2 ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
    | ~ or_2 ),
    inference(ennf_transformation,[],[f110]) ).

fof(f110,plain,
    ( or_2
   => ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f11]) ).

fof(f11,axiom,
    ( or_2
  <=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_2) ).

fof(f213,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183,f208,f184,f209,f185,f210,f186,f211,f187,f212,f188]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,or(X0,X1)))
      | ~ or_1 ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1)))
    | ~ or_1 ),
    inference(ennf_transformation,[],[f111]) ).

fof(f111,plain,
    ( or_1
   => ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f10]) ).

fof(f10,axiom,
    ( or_1
  <=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_1) ).

fof(f212,plain,
    ! [X0] :
      ( is_a_theorem(necessarily(X0))
      | ~ is_a_theorem(X0) ),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183,f208,f184,f209,f185,f210,f186,f211,f187]) ).

fof(f187,plain,
    ! [X0] :
      ( is_a_theorem(necessarily(X0))
      | ~ is_a_theorem(X0)
      | ~ necessitation ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ( ! [X0] :
        ( is_a_theorem(necessarily(X0))
        | ~ is_a_theorem(X0) )
    | ~ necessitation ),
    inference(ennf_transformation,[],[f105]) ).

fof(f105,plain,
    ( necessitation
   => ! [X0] :
        ( is_a_theorem(X0)
       => is_a_theorem(necessarily(X0)) ) ),
    inference(unused_predicate_definition_removal,[],[f50]) ).

fof(f50,axiom,
    ( necessitation
  <=> ! [X0] :
        ( is_a_theorem(X0)
       => is_a_theorem(necessarily(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',necessitation) ).

fof(f1496,plain,
    ! [X0,X1] :
      ( is_a_theorem(equiv(X0,X1))
      | ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(implies(X1,X0)) ),
    inference(resolution,[],[f475,f226]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183,f208,f184,f209,f185,f210,f186,f211,f187,f212,f188,f213,f189,f214,f190,f215,f191,f216,f192,f217,f193,f218,f194,f219,f195,f220,f196,f221,f197,f222,f198,f223,f199,f224,f200,f225,f201]) ).

fof(f201,plain,
    ! [X0,X1] :
      ( is_a_theorem(X1)
      | ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | ~ modus_ponens ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0) )
    | ~ modus_ponens ),
    inference(flattening,[],[f148]) ).

fof(f148,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0) )
    | ~ modus_ponens ),
    inference(ennf_transformation,[],[f120]) ).

fof(f120,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/sandbox2/benchmark/theBenchmark.p',modus_ponens) ).

fof(f475,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),equiv(X1,X0)))
      | ~ is_a_theorem(implies(X1,X0)) ),
    inference(resolution,[],[f224,f226]) ).

fof(f151799,plain,
    ! [X1] : possibly(possibly(X1)) = not(necessarily(necessarily(not(X1)))),
    inference(forward_demodulation,[],[f151577,f146671]) ).

fof(f146671,plain,
    ! [X0,X1] : and(implies(X0,X0),X1) = X1,
    inference(resolution,[],[f140753,f549]) ).

fof(f549,plain,
    ! [X0] : is_a_theorem(implies(X0,X0)),
    inference(resolution,[],[f326,f215]) ).

fof(f326,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X0,X1)))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f222,f226]) ).

fof(f140753,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X0)
      | and(X0,X1) = X1 ),
    inference(subsumption_resolution,[],[f140363,f216]) ).

fof(f140363,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(and(X0,X1),X1))
      | and(X0,X1) = X1
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f5047,f234]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,and(X1,X0)))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f226,f218]) ).

fof(f151577,plain,
    ! [X0,X1] : not(necessarily(necessarily(not(X1)))) = possibly(and(implies(X0,X0),possibly(X1))),
    inference(superposition,[],[f668,f148075]) ).

fof(f148075,plain,
    ! [X0,X1] : implies(implies(X0,X0),X1) = X1,
    inference(resolution,[],[f140761,f549]) ).

fof(f140761,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X1)
      | implies(X1,X0) = X0 ),
    inference(subsumption_resolution,[],[f140430,f215]) ).

fof(f140430,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X0)))
      | implies(X1,X0) = X0
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f5047,f5204]) ).

fof(f5204,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),X1))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f1566,f233]) ).

fof(f233,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f226,f215]) ).

fof(f1566,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,X1),X0))
      | is_a_theorem(implies(implies(X0,X1),X1)) ),
    inference(resolution,[],[f543,f326]) ).

fof(f543,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
      | ~ is_a_theorem(implies(X2,X0)) ),
    inference(resolution,[],[f227,f226]) ).

fof(f227,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183,f208,f184,f209,f185,f210,f186,f211,f187,f212,f188,f213,f189,f214,f190,f215,f191,f216,f192,f217,f193,f218,f194,f219,f195,f220,f196,f221,f197,f222,f198,f223,f199,f224,f200,f225,f201,f226,f202]) ).

fof(f202,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
      | ~ implies_3 ),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
    | ~ implies_3 ),
    inference(ennf_transformation,[],[f115]) ).

fof(f115,plain,
    ( implies_3
   => ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
    inference(unused_predicate_definition_removal,[],[f6]) ).

fof(f6,axiom,
    ( implies_3
  <=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_3) ).

fof(f668,plain,
    ! [X0,X1] : possibly(and(X0,possibly(X1))) = not(necessarily(implies(X0,necessarily(not(X1))))),
    inference(superposition,[],[f204,f247]) ).

fof(f247,plain,
    ! [X0,X1] : implies(X1,necessarily(not(X0))) = not(and(X1,possibly(X0))),
    inference(superposition,[],[f205,f204]) ).

fof(f210,plain,
    ! [X0] : is_a_theorem(implies(X0,necessarily(possibly(X0)))),
    inference(global_subsumption,[],[f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f204,f180,f205,f181,f206,f182,f207,f183,f208,f184,f209,f185]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : LCL537+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n004.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 13:55:49 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.32  % (30700)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.33  % (30703)WARNING: value z3 for option sas not known
% 0.10/0.33  % (30703)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)
% 0.10/0.33  % (30706)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)
% 0.10/0.33  % (30701)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.33  % (30704)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.33  % (30702)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.33  % (30705)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)
% 0.10/0.33  % (30707)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)
% 0.15/0.34  TRYING [1]
% 0.15/0.34  TRYING [2]
% 0.15/0.34  TRYING [1]
% 0.15/0.34  TRYING [3]
% 0.15/0.34  TRYING [2]
% 0.15/0.36  TRYING [4]
% 0.15/0.36  TRYING [3]
% 0.15/0.40  TRYING [4]
% 0.15/0.41  TRYING [5]
% 0.15/0.55  TRYING [5]
% 1.97/0.62  TRYING [6]
% 2.25/0.63  TRYING [1]
% 2.25/0.63  TRYING [2]
% 2.27/0.64  TRYING [3]
% 2.27/0.66  TRYING [4]
% 2.74/0.72  TRYING [5]
% 4.38/0.98  TRYING [6]
% 8.06/1.47  TRYING [7]
% 10.54/1.89  TRYING [6]
% 13.36/2.22  TRYING [7]
% 33.72/5.15  TRYING [8]
% 53.53/7.99  TRYING [8]
% 127.43/18.49  % (30703)First to succeed.
% 127.43/18.50  % (30703)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30700"
% 127.43/18.50  % (30703)Refutation found. Thanks to Tanya!
% 127.43/18.50  % SZS status Theorem for theBenchmark
% 127.43/18.50  % SZS output start Proof for theBenchmark
% See solution above
% 127.43/18.51  % (30703)------------------------------
% 127.43/18.51  % (30703)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 127.43/18.51  % (30703)Termination reason: Refutation
% 127.43/18.51  
% 127.43/18.51  % (30703)Memory used [KB]: 91672
% 127.43/18.51  % (30703)Time elapsed: 18.167 s
% 127.43/18.51  % (30703)Instructions burned: 75169 (million)
% 127.43/18.51  % (30700)Success in time 18.122 s
%------------------------------------------------------------------------------