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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET648+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:44:18 PM UTC 2026

% Result   : Theorem 42.90s 6.54s
% Output   : Refutation 42.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   81 (  13 unt;   0 def)
%            Number of atoms       :  278 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  314 ( 117   ~; 143   |;  12   &)
%                                         (  13 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-2 aty)
%            Number of variables   :  159 ( 155   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0] :
      ( ilf_type(X0,binary_relation_type)
     => subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).

fof(f3,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ! [X2] :
              ( ilf_type(X2,set_type)
             => ( subset(X0,X1)
               => ( subset(cross_product(X0,X2),cross_product(X1,X2))
                  & subset(cross_product(X2,X0),cross_product(X2,X1)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).

fof(f4,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ! [X2] :
                ( ilf_type(X2,subset_type(cross_product(X0,X1)))
               => ilf_type(X2,relation_type(X0,X1)) )
            & ! [X3] :
                ( ilf_type(X3,relation_type(X0,X1))
               => ilf_type(X3,subset_type(cross_product(X0,X1))) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).

fof(f12,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( subset(X0,X1)
          <=> ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                 => member(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12) ).

fof(f15,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( ilf_type(X1,subset_type(X0))
          <=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15) ).

fof(f20,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,set_type)
         => ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( ilf_type(X2,set_type)
               => ( member(X2,X0)
                 => member(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20) ).

fof(f22,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ( ~ empty(X1)
            & ilf_type(X1,set_type) )
         => ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22) ).

fof(f24,axiom,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ( empty(X0)
      <=> ! [X1] :
            ( ilf_type(X1,set_type)
           => ~ member(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24) ).

fof(f26,axiom,
    ! [X0] : ilf_type(X0,set_type),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26) ).

fof(f27,conjecture,
    ! [X0] :
      ( ilf_type(X0,set_type)
     => ! [X1] :
          ( ilf_type(X1,binary_relation_type)
         => ( subset(range_of(X1),X0)
           => ilf_type(X1,relation_type(domain_of(X1),X0)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_10) ).

fof(f28,negated_conjecture,
    ~ ! [X0] :
        ( ilf_type(X0,set_type)
       => ! [X1] :
            ( ilf_type(X1,binary_relation_type)
           => ( subset(range_of(X1),X0)
             => ilf_type(X1,relation_type(domain_of(X1),X0)) ) ) ),
    inference(negated_conjecture,[status(cth)],[f27]) ).

fof(f31,plain,
    ! [X0] :
      ( subset(X0,cross_product(domain_of(X0),range_of(X0)))
      | ~ ilf_type(X0,binary_relation_type) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f32,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( subset(cross_product(X0,X2),cross_product(X1,X2))
                & subset(cross_product(X2,X0),cross_product(X2,X1)) )
              | ~ subset(X0,X1)
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f33,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( subset(cross_product(X0,X2),cross_product(X1,X2))
                & subset(cross_product(X2,X0),cross_product(X2,X1)) )
              | ~ subset(X0,X1)
              | ~ ilf_type(X2,set_type) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f32]) ).

fof(f34,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( ilf_type(X2,relation_type(X0,X1))
                | ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
            & ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X0,X1)))
                | ~ ilf_type(X3,relation_type(X0,X1)) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( subset(X0,X1)
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f42,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( subset(X0,X1)
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f41]) ).

fof(f45,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X1,subset_type(X0))
          <=> ilf_type(X1,member_type(power_set(X0))) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f51,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f52,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( member(X0,power_set(X1))
          <=> ! [X2] :
                ( member(X2,X1)
                | ~ member(X2,X0)
                | ~ ilf_type(X2,set_type) ) )
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f51]) ).

fof(f54,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | empty(X1)
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f55,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ilf_type(X0,member_type(X1))
          <=> member(X0,X1) )
          | empty(X1)
          | ~ ilf_type(X1,set_type) )
      | ~ ilf_type(X0,set_type) ),
    inference(flattening,[],[f54]) ).

fof(f58,plain,
    ! [X0] :
      ( ( empty(X0)
      <=> ! [X1] :
            ( ~ member(X1,X0)
            | ~ ilf_type(X1,set_type) ) )
      | ~ ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f61,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ ilf_type(X1,relation_type(domain_of(X1),X0))
          & subset(range_of(X1),X0)
          & ilf_type(X1,binary_relation_type) )
      & ilf_type(X0,set_type) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f62,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ ilf_type(X1,relation_type(domain_of(X1),X0))
          & subset(range_of(X1),X0)
          & ilf_type(X1,binary_relation_type) )
      & ilf_type(X0,set_type) ),
    inference(flattening,[],[f61]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ ilf_type(X0,binary_relation_type)
      | subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ subset(X0,X1)
      | subset(cross_product(X2,X0),cross_product(X2,X1)) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f67,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
      | ilf_type(X2,relation_type(X0,X1)) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f81,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X2,set_type)
      | ~ member(X2,X0)
      | member(X2,X1)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ ilf_type(X1,member_type(power_set(X0)))
      | ilf_type(X1,subset_type(X0)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | member(sK9(X0,X1),X0)
      | member(X0,power_set(X1)) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ member(sK9(X0,X1),X1)
      | member(X0,power_set(X1)) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | empty(X1)
      | ~ member(X0,X1)
      | ilf_type(X0,member_type(X1)) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,set_type)
      | ~ ilf_type(X1,set_type)
      | ~ member(X1,X0)
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f111,plain,
    ! [X0] : ilf_type(X0,set_type),
    inference(cnf_transformation,[],[f26]) ).

fof(f112,plain,
    ilf_type(sK13,binary_relation_type),
    inference(cnf_transformation,[],[f62]) ).

fof(f113,plain,
    subset(range_of(sK13),sK12),
    inference(cnf_transformation,[],[f62]) ).

fof(f114,plain,
    ~ ilf_type(sK13,relation_type(domain_of(sK13),sK12)),
    inference(cnf_transformation,[],[f62]) ).

fof(f117,plain,
    ! [X0] :
      ( subset(X0,cross_product(domain_of(X0),range_of(X0)))
      | ilf_type(X0,binary_relation_type) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f119,plain,
    ! [X2,X0,X1] :
      ( ilf_type(X0,set_type)
      | ilf_type(X1,set_type)
      | ilf_type(X2,set_type)
      | ~ subset(X0,X1)
      | subset(cross_product(X2,X0),cross_product(X2,X1)) ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f121,plain,
    ! [X2,X0,X1] :
      ( ilf_type(X0,set_type)
      | ilf_type(X1,set_type)
      | ilf_type(X2,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X2,relation_type(X0,X1)) ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f137,plain,
    ! [X2,X0,X1] :
      ( ilf_type(X0,set_type)
      | ilf_type(X1,set_type)
      | ilf_type(X2,set_type)
      | ~ member(X2,X0)
      | member(X2,X1)
      | ~ subset(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f81]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ilf_type(X0,set_type)
      | ilf_type(X1,set_type)
      | ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,subset_type(X0)) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ilf_type(X0,set_type)
      | ilf_type(X1,set_type)
      | ~ member(sK9(X0,X1),X1)
      | member(X0,power_set(X1)) ),
    inference(consistent_polarity_flipping,[],[f101]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( ilf_type(X0,set_type)
      | ilf_type(X1,set_type)
      | member(sK9(X0,X1),X0)
      | member(X0,power_set(X1)) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ilf_type(X0,set_type)
      | ilf_type(X1,set_type)
      | empty(X1)
      | ~ member(X0,X1)
      | ~ ilf_type(X0,member_type(X1)) ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ilf_type(X0,set_type)
      | ilf_type(X1,set_type)
      | ~ member(X1,X0)
      | ~ empty(X0) ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f164,plain,
    ! [X0] : ~ ilf_type(X0,set_type),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f166,plain,
    ilf_type(sK13,relation_type(domain_of(sK13),sK12)),
    inference(consistent_polarity_flipping,[],[f114]) ).

fof(f167,plain,
    ~ ilf_type(sK13,binary_relation_type),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f180,plain,
    ! [X0,X1] :
      ( ilf_type(X1,set_type)
      | ~ member(X1,X0)
      | ~ empty(X0) ),
    inference(forward_subsumption_resolution,[],[f162,f164]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( ~ empty(X0)
      | ~ member(X1,X0) ),
    inference(forward_subsumption_resolution,[],[f180,f164]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( ilf_type(X1,set_type)
      | ilf_type(X1,member_type(power_set(X0)))
      | ~ ilf_type(X1,subset_type(X0)) ),
    inference(forward_subsumption_resolution,[],[f141,f164]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X1,subset_type(X0))
      | ilf_type(X1,member_type(power_set(X0))) ),
    inference(forward_subsumption_resolution,[],[f195,f164]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( ilf_type(X1,set_type)
      | ~ member(sK9(X0,X1),X1)
      | member(X0,power_set(X1)) ),
    inference(forward_subsumption_resolution,[],[f151,f164]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( ~ member(sK9(X0,X1),X1)
      | member(X0,power_set(X1)) ),
    inference(forward_subsumption_resolution,[],[f198,f164]) ).

fof(f200,plain,
    ! [X0,X1] :
      ( ilf_type(X1,set_type)
      | member(sK9(X0,X1),X0)
      | member(X0,power_set(X1)) ),
    inference(forward_subsumption_resolution,[],[f152,f164]) ).

fof(f201,plain,
    ! [X0,X1] :
      ( member(sK9(X0,X1),X0)
      | member(X0,power_set(X1)) ),
    inference(forward_subsumption_resolution,[],[f200,f164]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( ilf_type(X1,set_type)
      | empty(X1)
      | ~ member(X0,X1)
      | ~ ilf_type(X0,member_type(X1)) ),
    inference(forward_subsumption_resolution,[],[f158,f164]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( empty(X1)
      | ~ member(X0,X1)
      | ~ ilf_type(X0,member_type(X1)) ),
    inference(forward_subsumption_resolution,[],[f210,f164]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ~ ilf_type(X0,member_type(X1))
      | ~ member(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f211,f181]) ).

fof(f217,plain,
    ! [X2,X0,X1] :
      ( ilf_type(X1,set_type)
      | ilf_type(X2,subset_type(cross_product(X0,X1)))
      | ~ ilf_type(X2,relation_type(X0,X1)) ),
    inference(forward_subsumption_resolution,[],[f121,f164]) ).

fof(f218,plain,
    ! [X2,X0,X1] :
      ( ~ ilf_type(X2,relation_type(X0,X1))
      | ilf_type(X2,subset_type(cross_product(X0,X1))) ),
    inference(forward_subsumption_resolution,[],[f217,f164]) ).

fof(f219,plain,
    ilf_type(sK13,subset_type(cross_product(domain_of(sK13),sK12))),
    inference(resolution,[],[f218,f166]) ).

fof(f221,plain,
    ilf_type(sK13,member_type(power_set(cross_product(domain_of(sK13),sK12)))),
    inference(resolution,[],[f219,f196]) ).

fof(f228,plain,
    ~ member(sK13,power_set(cross_product(domain_of(sK13),sK12))),
    inference(resolution,[],[f221,f212]) ).

fof(f251,plain,
    ! [X2,X0,X1] :
      ( ilf_type(X1,set_type)
      | ilf_type(X2,set_type)
      | ~ member(X2,X0)
      | member(X2,X1)
      | ~ subset(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f137,f164]) ).

fof(f252,plain,
    ! [X2,X0,X1] :
      ( ilf_type(X2,set_type)
      | ~ member(X2,X0)
      | member(X2,X1)
      | ~ subset(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f251,f164]) ).

fof(f253,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X1)
      | member(X2,X1)
      | ~ member(X2,X0) ),
    inference(forward_subsumption_resolution,[],[f252,f164]) ).

fof(f256,plain,
    ! [X0,X1] :
      ( member(X0,cross_product(domain_of(X1),range_of(X1)))
      | ~ member(X0,X1)
      | ilf_type(X1,binary_relation_type) ),
    inference(resolution,[],[f253,f117]) ).

fof(f311,plain,
    ! [X2,X0,X1] :
      ( ilf_type(X0,set_type)
      | ilf_type(X1,set_type)
      | ~ subset(X0,X1)
      | subset(cross_product(X2,X0),cross_product(X2,X1)) ),
    inference(forward_subsumption_resolution,[],[f119,f164]) ).

fof(f312,plain,
    ! [X2,X0,X1] :
      ( ilf_type(X0,set_type)
      | ~ subset(X0,X1)
      | subset(cross_product(X2,X0),cross_product(X2,X1)) ),
    inference(forward_subsumption_resolution,[],[f311,f164]) ).

fof(f313,plain,
    ! [X2,X0,X1] :
      ( subset(cross_product(X2,X0),cross_product(X2,X1))
      | ~ subset(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f312,f164]) ).

fof(f314,plain,
    ! [X2,X3,X0,X1] :
      ( ~ subset(X0,X1)
      | member(X2,cross_product(X3,X1))
      | ~ member(X2,cross_product(X3,X0)) ),
    inference(resolution,[],[f313,f253]) ).

fof(f397,plain,
    ! [X0,X1] :
      ( ~ member(X0,cross_product(X1,range_of(sK13)))
      | member(X0,cross_product(X1,sK12)) ),
    inference(resolution,[],[f314,f113]) ).

fof(f497,plain,
    ! [X0] :
      ( member(X0,cross_product(domain_of(sK13),sK12))
      | ~ member(X0,sK13)
      | ilf_type(sK13,binary_relation_type) ),
    inference(resolution,[],[f397,f256]) ).

fof(f505,plain,
    ! [X0] :
      ( member(X0,cross_product(domain_of(sK13),sK12))
      | ~ member(X0,sK13) ),
    inference(forward_subsumption_resolution,[],[f497,f167]) ).

fof(f1285,plain,
    ! [X0] :
      ( ~ member(sK9(X0,cross_product(domain_of(sK13),sK12)),sK13)
      | member(X0,power_set(cross_product(domain_of(sK13),sK12))) ),
    inference(resolution,[],[f505,f199]) ).

fof(f128615,plain,
    ( member(sK13,power_set(cross_product(domain_of(sK13),sK12)))
    | member(sK13,power_set(cross_product(domain_of(sK13),sK12))) ),
    inference(resolution,[],[f1285,f201]) ).

fof(f128730,plain,
    member(sK13,power_set(cross_product(domain_of(sK13),sK12))),
    inference(duplicate_literal_removal,[],[f128615]) ).

fof(f128748,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f128730,f228]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET648+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38  % Computer : n004.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Sep 28 02:27:58 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42  Running first-order model finding
% 0.12/0.42  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.67/2.83  % (4091957)Will run a generic schedule for satisfiability detection.
% 16.67/2.83  % (4091969)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2094446420:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.67/2.83  % (4091966)% WARNING: option uhcvi not known.
% 16.67/2.83  % (4091965)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3181845028_2999 on theBenchmark for (2999ds/0Mi)
% 16.67/2.83  % (4091967)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2766367776:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.67/2.83  % (4091966)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1929846235:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.67/2.83  % (4091968)dis+10_1_sil=32000:sp=arity:random_seed=1541002443:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.67/2.83  % (4091970)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3662580469:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.67/2.83  % (4091971)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1159980770:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.67/2.83  % TRYING [1]
% 16.67/2.83  % TRYING [2]
% 16.67/2.83  % TRYING [3]
% 16.67/2.83  % (4091969)Instruction limit reached! 
% 16.67/2.83  % (4091969)------------------------------
% 16.67/2.83  % (4091969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.67/2.83  % (4091969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.67/2.83  % (4091969)CaDiCaL version: 2.1.3
% 16.67/2.83  % (4091969)Termination reason: Instruction limit
% 16.67/2.83  % (4091969)Termination phase: Saturation
% 16.67/2.83  % (4091969)Time elapsed: 0.038 s
% 16.67/2.83  % (4091969)Peak memory usage: 12 MB
% 16.67/2.83  % (4091969)Instructions burned: 118 (million)
% 16.67/2.83  % (4091991)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1324732535:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.67/2.83  % TRYING [1]
% 16.67/2.83  % TRYING [2]
% 16.67/2.83  % TRYING [3]
% 16.67/2.83  % (4091968)Instruction limit reached! 
% 16.67/2.83  % (4091968)------------------------------
% 16.67/2.83  % (4091968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.67/2.83  % (4091968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.67/2.83  % (4091968)CaDiCaL version: 2.1.3
% 16.67/2.83  % (4091968)Termination reason: Instruction limit
% 16.67/2.83  % (4091968)Termination phase: Saturation
% 16.67/2.83  % (4091968)Time elapsed: 0.066 s
% 16.67/2.83  % (4091968)Peak memory usage: 12 MB
% 16.67/2.83  % (4091968)Instructions burned: 104 (million)
% 16.67/2.83  % TRYING [4]
% 16.67/2.83  % TRYING [4]
% 16.67/2.83  % (4091999)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2923031751:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 16.67/2.83  % (4091970)Instruction limit reached! 
% 16.67/2.83  % (4091970)------------------------------
% 16.67/2.83  % (4091970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.67/2.83  % (4091970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.67/2.83  % (4091970)CaDiCaL version: 2.1.3
% 16.67/2.83  % (4091970)Termination reason: Instruction limit
% 16.67/2.83  % (4091970)Termination phase: Saturation
% 16.67/2.83  % (4091970)Time elapsed: 0.088 s
% 16.67/2.83  % (4091970)Peak memory usage: 13 MB
% 16.67/2.83  % (4091970)Instructions burned: 131 (million)
% 16.67/2.83  % (4091971)Instruction limit reached! 
% 16.67/2.83  % (4091971)------------------------------
% 16.67/2.83  % (4091971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.67/2.83  % (4091971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.67/2.83  % (4091971)CaDiCaL version: 2.1.3
% 16.67/2.83  % (4091971)Termination reason: Instruction limit
% 16.67/2.83  % (4091971)Termination phase: Saturation
% 16.67/2.83  % (4091971)Time elapsed: 0.108 s
% 16.67/2.83  % (4091971)Peak memory usage: 14 MB
% 16.67/2.83  % (4091971)Instructions burned: 159 (million)
% 16.67/2.83  % (4092009)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=719238412:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.67/2.83  % (4092010)ott-21_1_sil=16000:fs=off:random_seed=1433143817:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.67/2.83  % (4091999)Instruction limit reached! 
% 16.67/2.83  % (4091999)------------------------------
% 16.67/2.83  % (4091999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.67/2.83  % (4091999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.02/6.22  % (4091999)CaDiCaL version: 2.1.3
% 41.02/6.22  % (4091999)Termination reason: Instruction limit
% 41.02/6.22  % (4091999)Termination phase: Saturation
% 41.02/6.22  % (4091999)Time elapsed: 0.085 s
% 41.02/6.22  % (4091999)Peak memory usage: 14 MB
% 41.02/6.22  % (4091999)Instructions burned: 132 (million)
% 41.02/6.22  % (4092013)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3586835119:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 41.02/6.22  % (4092010)Instruction limit reached! 
% 41.02/6.22  % (4092010)------------------------------
% 41.02/6.22  % (4092010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.02/6.22  % (4092010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.02/6.22  % (4092010)CaDiCaL version: 2.1.3
% 41.02/6.22  % (4092010)Termination reason: Instruction limit
% 41.02/6.22  % (4092010)Termination phase: Saturation
% 41.02/6.22  % (4092010)Time elapsed: 0.093 s
% 41.02/6.22  % (4092010)Peak memory usage: 13 MB
% 41.02/6.22  % (4092010)Instructions burned: 180 (million)
% 41.02/6.22  % (4092023)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3691108668:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 41.02/6.22  % TRYING [1]
% 41.02/6.22  % TRYING [2]
% 41.02/6.22  % TRYING [3]
% 41.02/6.22  % (4091991)Instruction limit reached! 
% 41.02/6.22  % (4091991)------------------------------
% 41.02/6.22  % (4091991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.02/6.22  % (4091991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.02/6.22  % (4091991)CaDiCaL version: 2.1.3
% 41.02/6.22  % (4091991)Termination reason: Instruction limit
% 41.02/6.22  % (4091991)Termination phase: Finite model building SAT solving
% 41.02/6.22  % (4091991)Time elapsed: 0.212 s
% 41.02/6.22  % (4091991)Peak memory usage: 15 MB
% 41.02/6.22  % (4091991)Instructions burned: 718 (million)
% 41.02/6.22  % (4092043)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=715437701:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 41.02/6.22  % TRYING [4]
% 41.02/6.22  % (4092009)Instruction limit reached! 
% 41.02/6.22  % (4092009)------------------------------
% 41.02/6.22  % (4092009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.02/6.22  % (4092009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.02/6.23  % (4092009)CaDiCaL version: 2.1.3
% 41.02/6.23  % (4092009)Termination reason: Instruction limit
% 41.02/6.23  % (4092009)Termination phase: Saturation
% 41.02/6.23  % (4092009)Time elapsed: 0.345 s
% 41.02/6.23  % (4092009)Peak memory usage: 20 MB
% 41.02/6.23  % (4092009)Instructions burned: 685 (million)
% 41.02/6.23  % (4092013)Instruction limit reached! 
% 41.02/6.23  % (4092013)------------------------------
% 41.02/6.23  % (4092013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.02/6.23  % (4092013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.02/6.23  % (4092013)CaDiCaL version: 2.1.3
% 41.02/6.23  % (4092013)Termination reason: Instruction limit
% 41.02/6.23  % (4092013)Termination phase: Saturation
% 41.02/6.23  % (4092013)Time elapsed: 0.265 s
% 41.02/6.23  % (4092013)Peak memory usage: 14 MB
% 41.02/6.23  % (4092013)Instructions burned: 477 (million)
% 41.02/6.23  % (4092066)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4179252219:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 41.02/6.23  % (4092067)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=277663586:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 41.02/6.23  % TRYING [14]
% 41.02/6.23  % TRYING [5]
% 41.02/6.23  % (4092043)Instruction limit reached! 
% 41.02/6.23  % (4092043)------------------------------
% 41.02/6.23  % (4092043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.02/6.23  % (4092043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.02/6.23  % (4092043)CaDiCaL version: 2.1.3
% 41.02/6.23  % (4092043)Termination reason: Instruction limit
% 41.02/6.23  % (4092043)Termination phase: Saturation
% 41.02/6.23  % (4092043)Time elapsed: 0.385 s
% 41.02/6.23  % (4092043)Peak memory usage: 21 MB
% 41.02/6.23  % (4092043)Instructions burned: 1179 (million)
% 41.02/6.23  % (4092070)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1020796998:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 41.02/6.23  % TRYING [5]
% 41.02/6.23  % (4092023)Instruction limit reached! 
% 41.02/6.23  % (4092023)------------------------------
% 41.02/6.23  % (4092023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.90/6.54  % (4092023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.90/6.54  % (4092023)CaDiCaL version: 2.1.3
% 42.90/6.54  % (4092023)Termination reason: Instruction limit
% 42.90/6.54  % (4092023)Termination phase: Finite model building constraint generation
% 42.90/6.54  % (4092023)Time elapsed: 0.514 s
% 42.90/6.54  % (4092023)Peak memory usage: 13 MB
% 42.90/6.54  % (4092023)Instructions burned: 866 (million)
% 42.90/6.54  % (4092072)fmb+10_1_sil=64000:random_seed=820428022:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 42.90/6.54  % TRYING [1]
% 42.90/6.54  % TRYING [2]
% 42.90/6.54  % TRYING [3]
% 42.90/6.54  % (4092066)Instruction limit reached! 
% 42.90/6.54  % (4092066)------------------------------
% 42.90/6.54  % (4092066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.90/6.54  % (4092066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.90/6.54  % (4092066)CaDiCaL version: 2.1.3
% 42.90/6.54  % (4092066)Termination reason: Instruction limit
% 42.90/6.54  % (4092066)Termination phase: Finite model building constraint generation
% 42.90/6.54  % (4092066)Time elapsed: 0.328 s
% 42.90/6.54  % (4092066)Peak memory usage: 63 MB
% 42.90/6.54  % (4092066)Instructions burned: 889 (million)
% 42.90/6.54  % TRYING [4]
% 42.90/6.54  % (4092074)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1343406702:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 42.90/6.54  % TRYING [20]
% 42.90/6.54  % (4092067)Instruction limit reached! 
% 42.90/6.54  % (4092067)------------------------------
% 42.90/6.54  % (4092067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.90/6.54  % (4092067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.90/6.54  % (4092067)CaDiCaL version: 2.1.3
% 42.90/6.54  % (4092067)Termination reason: Instruction limit
% 42.90/6.54  % (4092067)Termination phase: Saturation
% 42.90/6.54  % (4092067)Time elapsed: 0.386 s
% 42.90/6.54  % (4092067)Peak memory usage: 19 MB
% 42.90/6.54  % (4092067)Instructions burned: 692 (million)
% 42.90/6.54  % (4092076)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1253664244:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 42.90/6.54  % TRYING [8]
% 42.90/6.54  % (4092070)Instruction limit reached! 
% 42.90/6.54  % (4092070)------------------------------
% 42.90/6.54  % (4092070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.90/6.54  % (4092070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.90/6.54  % (4092070)CaDiCaL version: 2.1.3
% 42.90/6.54  % (4092070)Termination reason: Instruction limit
% 42.90/6.54  % (4092070)Termination phase: Saturation
% 42.90/6.54  % (4092070)Time elapsed: 0.251 s
% 42.90/6.54  % (4092070)Peak memory usage: 17 MB
% 42.90/6.54  % (4092070)Instructions burned: 882 (million)
% 42.90/6.54  % (4092078)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2093152165:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 42.90/6.54  % TRYING [5]
% 42.90/6.54  % (4092076)Instruction limit reached! 
% 42.90/6.54  % (4092076)------------------------------
% 42.90/6.54  % (4092076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.90/6.54  % (4092076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.90/6.54  % (4092076)CaDiCaL version: 2.1.3
% 42.90/6.54  % (4092076)Termination reason: Instruction limit
% 42.90/6.54  % (4092076)Termination phase: Finite model building SAT solving
% 42.90/6.54  % (4092076)Time elapsed: 0.468 s
% 42.90/6.54  % (4092076)Peak memory usage: 39 MB
% 42.90/6.54  % (4092076)Instructions burned: 920 (million)
% 42.90/6.54  % (4092080)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=351399061:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 42.90/6.54  % TRYING [6]
% 42.90/6.54  % (4092080)Instruction limit reached! 
% 42.90/6.54  % (4092080)------------------------------
% 42.90/6.54  % (4092080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.90/6.54  % (4092080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.90/6.54  % (4092080)CaDiCaL version: 2.1.3
% 42.90/6.54  % (4092080)Termination reason: Instruction limit
% 42.90/6.54  % (4092080)Termination phase: Saturation
% 42.90/6.54  % (4092080)Time elapsed: 0.728 s
% 42.90/6.54  % (4092080)Peak memory usage: 27 MB
% 42.90/6.54  % (4092080)Instructions burned: 1474 (million)
% 42.90/6.54  % (4092082)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=227461966:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 42.90/6.54  % TRYING [77]
% 42.90/6.54  % (4092078)Instruction limit reached! 
% 42.90/6.54  % (4092078)------------------------------
% 42.90/6.54  % (4092078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.90/6.54  % (4092078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.90/6.54  % (4092078)CaDiCaL version: 2.1.3
% 42.90/6.54  % (4092078)Termination reason: Instruction limit
% 42.90/6.54  % (4092078)Termination phase: Saturation
% 42.90/6.54  % (4092078)Time elapsed: 1.456 s
% 42.90/6.54  % (4092078)Peak memory usage: 26 MB
% 42.90/6.54  % (4092078)Instructions burned: 5132 (million)
% 42.90/6.54  % (4092084)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2194790169:fmbsr=2.30978:i=2174_2975 on theBenchmark for (2975ds/2174Mi)
% 42.90/6.54  % TRYING [16]
% 42.90/6.54  % (4092084)Instruction limit reached! 
% 42.90/6.54  % (4092084)------------------------------
% 42.90/6.54  % (4092084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.90/6.54  % (4092084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.90/6.54  % (4092084)CaDiCaL version: 2.1.3
% 42.90/6.54  % (4092084)Termination reason: Instruction limit
% 42.90/6.54  % (4092084)Termination phase: Finite model building constraint generation
% 42.90/6.54  % (4092084)Time elapsed: 0.417 s
% 42.90/6.54  % (4092084)Peak memory usage: 144 MB
% 42.90/6.54  % (4092084)Instructions burned: 2178 (million)
% 42.90/6.54  % (4092086)ott-2_1_sil=16000:newcnf=on:random_seed=3245326786:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2971 on theBenchmark for (2971ds/869Mi)
% 42.90/6.54  % (4092086)Instruction limit reached! 
% 42.90/6.54  % (4092086)------------------------------
% 42.90/6.54  % (4092086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.90/6.54  % (4092086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.90/6.54  % (4092086)CaDiCaL version: 2.1.3
% 42.90/6.54  % (4092086)Termination reason: Instruction limit
% 42.90/6.54  % (4092086)Termination phase: Saturation
% 42.90/6.54  % (4092086)Time elapsed: 0.286 s
% 42.90/6.54  % (4092086)Peak memory usage: 17 MB
% 42.90/6.54  % (4092086)Instructions burned: 870 (million)
% 42.90/6.54  % (4092088)ott+10_1_sil=32000:tgt=ground:random_seed=1438585499:i=5114:av=off_2968 on theBenchmark for (2968ds/5114Mi)
% 42.90/6.54  % TRYING [7]
% 42.90/6.54  % (4092082)Instruction limit reached! 
% 42.90/6.54  % (4092082)------------------------------
% 42.90/6.54  % (4092082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.90/6.54  % (4092082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.90/6.54  % (4092082)CaDiCaL version: 2.1.3
% 42.90/6.54  % (4092082)Termination reason: Instruction limit
% 42.90/6.54  % (4092082)Termination phase: Finite model building constraint generation
% 42.90/6.54  % (4092082)Time elapsed: 2.166 s
% 42.90/6.54  % (4092082)Peak memory usage: 405 MB
% 42.90/6.54  % (4092082)Instructions burned: 6326 (million)
% 42.90/6.54  % (4092090)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=248624736:i=54282_2956 on theBenchmark for (2956ds/54282Mi)
% 42.90/6.54  % TRYING [1]
% 42.90/6.54  % TRYING [2]
% 42.90/6.54  % TRYING [3]
% 42.90/6.54  % TRYING [4]
% 42.90/6.54  % TRYING [6]
% 42.90/6.54  % (4092088)Instruction limit reached! 
% 42.90/6.54  % (4092088)------------------------------
% 42.90/6.54  % (4092088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.90/6.54  % (4092088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.90/6.54  % (4092088)CaDiCaL version: 2.1.3
% 42.90/6.54  % (4092088)Termination reason: Instruction limit
% 42.90/6.54  % (4092088)Termination phase: Saturation
% 42.90/6.54  % (4092088)Time elapsed: 1.625 s
% 42.90/6.54  % (4092088)Peak memory usage: 55 MB
% 42.90/6.54  % (4092088)Instructions burned: 5115 (million)
% 42.90/6.54  % (4092092)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1495075199:i=3512:aac=none_2952 on theBenchmark for (2952ds/3512Mi)
% 42.90/6.54  % TRYING [5]
% 42.90/6.54  % (4092074)Instruction limit reached! 
% 42.90/6.54  % (4092074)------------------------------
% 42.90/6.54  % (4092074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.90/6.54  % (4092074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.90/6.54  % (4092074)CaDiCaL version: 2.1.3
% 42.90/6.54  % (4092074)Termination reason: Instruction limit
% 42.90/6.54  % (4092074)Termination phase: Finite model building SAT solving
% 42.90/6.54  % (4092074)Time elapsed: 4.207 s
% 42.90/6.54  % (4092074)Peak memory usage: 476 MB
% 42.90/6.54  % (4092074)Instructions burned: 9515 (million)
% 42.90/6.54  % (4092094)dis+21_1_sil=32000:sas=cadical:random_seed=1087824631:i=3773:amm=off_2948 on theBenchmark for (2948ds/3773Mi)
% 42.90/6.54  % (4092092)Instruction limit reached! 
% 42.90/6.54  % (4092092)------------------------------
% 42.90/6.54  % (4092092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.90/6.54  % (4092092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.90/6.54  % (4092092)CaDiCaL version: 2.1.3
% 42.90/6.54  % (4092092)Termination reason: Instruction limit
% 42.90/6.54  % (4092092)Termination phase: Saturation
% 42.90/6.54  % (4092092)Time elapsed: 1.011 s
% 42.90/6.54  % (4092092)Peak memory usage: 31 MB
% 42.90/6.54  % (4092092)Instructions burned: 3515 (million)
% 42.90/6.54  % (4092096)ott+11_1_sil=16000:gs=on:random_seed=1798605642:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2941 on theBenchmark for (2941ds/2251Mi)
% 42.90/6.54  % (4091966) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4091957-4091966"...
% 42.90/6.54  % (4091966)...printing done.
% 42.90/6.54  % (4091966)Refutation found. Thanks to Tanya!
% 42.90/6.54  % SZS status Theorem for theBenchmark
% 42.90/6.54  % SZS output start Proof for theBenchmark
% See solution above
% 42.90/6.54  % (4091966)------------------------------
% 42.90/6.54  % (4091966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.90/6.54  % (4091966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.90/6.54  % (4091966)CaDiCaL version: 2.1.3
% 42.90/6.54  % (4091966)Termination reason: Refutation
% 42.90/6.54  % (4091966)Time elapsed: 6.062 s
% 42.90/6.54  % (4091966)Peak memory usage: 91 MB
% 42.90/6.54  % (4091966)Instructions burned: 10967 (million)
% 42.90/6.54  % (4091957)Success in time 6.113 s
% 42.90/6.54  % Vampire exiting
%------------------------------------------------------------------------------