↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LAT346+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n016.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 11:48:32 AM UTC 2026

% Result   : Theorem 0.20s 0.58s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  172 (  25 unt;  12 def)
%            Number of atoms       :  645 (   0 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  775 ( 302   ~; 341   |; 103   &)
%                                         (  15 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :   33 (  32 usr;  13 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :   78 (   0 sgn  73   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
      ( ( ~ v3_conlat_1(X0)
        & l2_conlat_1(X0) )
     => r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_conlat_2) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_conlat_1(X0)
          & l2_conlat_1(X0) )
       => r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0))) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f14,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ! [X1] :
          ( ( ~ v3_struct_0(X1)
            & v10_lattices(X1)
            & l3_lattices(X1) )
         => ( r1_filter_1(X0,X1)
          <=> ? [X2] :
                ( m1_lattice4(X2,X0,X1)
                & v3_lattice4(X2,X0,X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_lattice4) ).

fof(f18,axiom,
    ! [X0] :
      ( ( ~ v3_conlat_1(X0)
        & l2_conlat_1(X0) )
     => m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k10_conlat_2) ).

fof(f19,axiom,
    ! [X0] :
      ( ( ~ v3_conlat_1(X0)
        & l2_conlat_1(X0) )
     => ( ~ v3_struct_0(k11_conlat_1(X0))
        & v3_lattices(k11_conlat_1(X0))
        & l3_lattices(k11_conlat_1(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_conlat_1) ).

fof(f20,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( v3_lattices(k1_lattice2(X0))
        & l3_lattices(k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).

fof(f26,axiom,
    ! [X0] :
      ( ( ~ v3_conlat_1(X0)
        & l2_conlat_1(X0) )
     => ( ~ v3_conlat_1(k7_conlat_2(X0))
        & v4_conlat_1(k7_conlat_2(X0))
        & l2_conlat_1(k7_conlat_2(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_conlat_2) ).

fof(f54,axiom,
    ! [X0] :
      ( ( ~ v3_conlat_1(X0)
        & l2_conlat_1(X0) )
     => ( ~ v3_struct_0(k11_conlat_1(X0))
        & v3_lattices(k11_conlat_1(X0))
        & v4_lattices(k11_conlat_1(X0))
        & v5_lattices(k11_conlat_1(X0))
        & v6_lattices(k11_conlat_1(X0))
        & v7_lattices(k11_conlat_1(X0))
        & v8_lattices(k11_conlat_1(X0))
        & v9_lattices(k11_conlat_1(X0))
        & v10_lattices(k11_conlat_1(X0))
        & v13_lattices(k11_conlat_1(X0))
        & v14_lattices(k11_conlat_1(X0))
        & v15_lattices(k11_conlat_1(X0))
        & v4_lattice3(k11_conlat_1(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_conlat_2) ).

fof(f55,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l3_lattices(X0) )
     => ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).

fof(f69,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0) )
     => ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0))
        & v4_lattices(k1_lattice2(X0))
        & v5_lattices(k1_lattice2(X0))
        & v6_lattices(k1_lattice2(X0))
        & v7_lattices(k1_lattice2(X0))
        & v8_lattices(k1_lattice2(X0))
        & v9_lattices(k1_lattice2(X0))
        & v10_lattices(k1_lattice2(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).

fof(f94,axiom,
    ! [X0,X1] :
      ( ( ~ v3_struct_0(X0)
        & v10_lattices(X0)
        & l3_lattices(X0)
        & ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( r1_filter_1(X0,X1)
       => r1_filter_1(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r1_filter_1) ).

fof(f96,axiom,
    ! [X0] :
      ( ( ~ v3_conlat_1(X0)
        & l2_conlat_1(X0) )
     => v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_conlat_2) ).

fof(f110,plain,
    ? [X0] :
      ( ~ r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0)))
      & ~ v3_conlat_1(X0)
      & l2_conlat_1(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f111,plain,
    ? [X0] :
      ( ~ r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0)))
      & ~ v3_conlat_1(X0)
      & l2_conlat_1(X0) ),
    inference(flattening,[],[f110]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( r1_filter_1(X0,X1)
          <=> ? [X2] :
                ( m1_lattice4(X2,X0,X1)
                & v3_lattice4(X2,X0,X1) ) )
          | v3_struct_0(X1)
          | ~ v10_lattices(X1)
          | ~ l3_lattices(X1) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f133,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( r1_filter_1(X0,X1)
          <=> ? [X2] :
                ( m1_lattice4(X2,X0,X1)
                & v3_lattice4(X2,X0,X1) ) )
          | v3_struct_0(X1)
          | ~ v10_lattices(X1)
          | ~ l3_lattices(X1) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f132]) ).

fof(f139,plain,
    ! [X0] :
      ( m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
      | v3_conlat_1(X0)
      | ~ l2_conlat_1(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f140,plain,
    ! [X0] :
      ( m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
      | v3_conlat_1(X0)
      | ~ l2_conlat_1(X0) ),
    inference(flattening,[],[f139]) ).

fof(f141,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k11_conlat_1(X0))
        & v3_lattices(k11_conlat_1(X0))
        & l3_lattices(k11_conlat_1(X0)) )
      | v3_conlat_1(X0)
      | ~ l2_conlat_1(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f142,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k11_conlat_1(X0))
        & v3_lattices(k11_conlat_1(X0))
        & l3_lattices(k11_conlat_1(X0)) )
      | v3_conlat_1(X0)
      | ~ l2_conlat_1(X0) ),
    inference(flattening,[],[f141]) ).

fof(f143,plain,
    ! [X0] :
      ( ( v3_lattices(k1_lattice2(X0))
        & l3_lattices(k1_lattice2(X0)) )
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f146,plain,
    ! [X0] :
      ( ( ~ v3_conlat_1(k7_conlat_2(X0))
        & v4_conlat_1(k7_conlat_2(X0))
        & l2_conlat_1(k7_conlat_2(X0)) )
      | v3_conlat_1(X0)
      | ~ l2_conlat_1(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f147,plain,
    ! [X0] :
      ( ( ~ v3_conlat_1(k7_conlat_2(X0))
        & v4_conlat_1(k7_conlat_2(X0))
        & l2_conlat_1(k7_conlat_2(X0)) )
      | v3_conlat_1(X0)
      | ~ l2_conlat_1(X0) ),
    inference(flattening,[],[f146]) ).

fof(f162,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k11_conlat_1(X0))
        & v3_lattices(k11_conlat_1(X0))
        & v4_lattices(k11_conlat_1(X0))
        & v5_lattices(k11_conlat_1(X0))
        & v6_lattices(k11_conlat_1(X0))
        & v7_lattices(k11_conlat_1(X0))
        & v8_lattices(k11_conlat_1(X0))
        & v9_lattices(k11_conlat_1(X0))
        & v10_lattices(k11_conlat_1(X0))
        & v13_lattices(k11_conlat_1(X0))
        & v14_lattices(k11_conlat_1(X0))
        & v15_lattices(k11_conlat_1(X0))
        & v4_lattice3(k11_conlat_1(X0)) )
      | v3_conlat_1(X0)
      | ~ l2_conlat_1(X0) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f163,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k11_conlat_1(X0))
        & v3_lattices(k11_conlat_1(X0))
        & v4_lattices(k11_conlat_1(X0))
        & v5_lattices(k11_conlat_1(X0))
        & v6_lattices(k11_conlat_1(X0))
        & v7_lattices(k11_conlat_1(X0))
        & v8_lattices(k11_conlat_1(X0))
        & v9_lattices(k11_conlat_1(X0))
        & v10_lattices(k11_conlat_1(X0))
        & v13_lattices(k11_conlat_1(X0))
        & v14_lattices(k11_conlat_1(X0))
        & v15_lattices(k11_conlat_1(X0))
        & v4_lattice3(k11_conlat_1(X0)) )
      | v3_conlat_1(X0)
      | ~ l2_conlat_1(X0) ),
    inference(flattening,[],[f162]) ).

fof(f164,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f165,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f164]) ).

fof(f188,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0))
        & v4_lattices(k1_lattice2(X0))
        & v5_lattices(k1_lattice2(X0))
        & v6_lattices(k1_lattice2(X0))
        & v7_lattices(k1_lattice2(X0))
        & v8_lattices(k1_lattice2(X0))
        & v9_lattices(k1_lattice2(X0))
        & v10_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f189,plain,
    ! [X0] :
      ( ( ~ v3_struct_0(k1_lattice2(X0))
        & v3_lattices(k1_lattice2(X0))
        & v4_lattices(k1_lattice2(X0))
        & v5_lattices(k1_lattice2(X0))
        & v6_lattices(k1_lattice2(X0))
        & v7_lattices(k1_lattice2(X0))
        & v8_lattices(k1_lattice2(X0))
        & v9_lattices(k1_lattice2(X0))
        & v10_lattices(k1_lattice2(X0)) )
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(flattening,[],[f188]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( r1_filter_1(X1,X0)
      | ~ r1_filter_1(X0,X1)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0)
      | v3_struct_0(X1)
      | ~ v10_lattices(X1)
      | ~ l3_lattices(X1) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( r1_filter_1(X1,X0)
      | ~ r1_filter_1(X0,X1)
      | v3_struct_0(X0)
      | ~ v10_lattices(X0)
      | ~ l3_lattices(X0)
      | v3_struct_0(X1)
      | ~ v10_lattices(X1)
      | ~ l3_lattices(X1) ),
    inference(flattening,[],[f205]) ).

fof(f208,plain,
    ! [X0] :
      ( v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
      | v3_conlat_1(X0)
      | ~ l2_conlat_1(X0) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f209,plain,
    ! [X0] :
      ( v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
      | v3_conlat_1(X0)
      | ~ l2_conlat_1(X0) ),
    inference(flattening,[],[f208]) ).

fof(f219,plain,
    l2_conlat_1(sK0),
    inference(cnf_transformation,[],[f111]) ).

fof(f220,plain,
    ~ v3_conlat_1(sK0),
    inference(cnf_transformation,[],[f111]) ).

fof(f221,plain,
    ~ r1_filter_1(k11_conlat_1(k7_conlat_2(sK0)),k1_lattice2(k11_conlat_1(sK0))),
    inference(cnf_transformation,[],[f111]) ).

fof(f242,plain,
    ! [X2,X0,X1] :
      ( ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | ~ l3_lattices(X1)
      | ~ v10_lattices(X1)
      | v3_struct_0(X1)
      | ~ v3_lattice4(X2,X0,X1)
      | ~ m1_lattice4(X2,X0,X1)
      | r1_filter_1(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f248,plain,
    ! [X0] :
      ( ~ l2_conlat_1(X0)
      | v3_conlat_1(X0)
      | m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f249,plain,
    ! [X0] :
      ( ~ l2_conlat_1(X0)
      | v3_conlat_1(X0)
      | l3_lattices(k11_conlat_1(X0)) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f251,plain,
    ! [X0] :
      ( ~ l2_conlat_1(X0)
      | v3_conlat_1(X0)
      | ~ v3_struct_0(k11_conlat_1(X0)) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f252,plain,
    ! [X0] :
      ( l3_lattices(k1_lattice2(X0))
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f256,plain,
    ! [X0] :
      ( ~ l2_conlat_1(X0)
      | v3_conlat_1(X0)
      | l2_conlat_1(k7_conlat_2(X0)) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f258,plain,
    ! [X0] :
      ( ~ l2_conlat_1(X0)
      | v3_conlat_1(X0)
      | ~ v3_conlat_1(k7_conlat_2(X0)) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f290,plain,
    ! [X0] :
      ( ~ l2_conlat_1(X0)
      | v3_conlat_1(X0)
      | v10_lattices(k11_conlat_1(X0)) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f300,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | v3_struct_0(X0)
      | ~ v3_struct_0(k1_lattice2(X0)) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f353,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | v10_lattices(k1_lattice2(X0)) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f429,plain,
    ! [X0,X1] :
      ( ~ l3_lattices(X1)
      | ~ v10_lattices(X1)
      | v3_struct_0(X1)
      | ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0)
      | ~ r1_filter_1(X0,X1)
      | r1_filter_1(X1,X0) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f431,plain,
    ! [X0] :
      ( ~ l2_conlat_1(X0)
      | v3_conlat_1(X0)
      | v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
    inference(cnf_transformation,[],[f209]) ).

fof(f439,plain,
    r1_filter_1(k11_conlat_1(k7_conlat_2(sK0)),k1_lattice2(k11_conlat_1(sK0))),
    inference(consistent_polarity_flipping,[],[f221]) ).

fof(f440,plain,
    v3_conlat_1(sK0),
    inference(consistent_polarity_flipping,[],[f220]) ).

fof(f441,plain,
    ~ l2_conlat_1(sK0),
    inference(consistent_polarity_flipping,[],[f219]) ).

fof(f458,plain,
    ! [X2,X0,X1] :
      ( ~ r1_filter_1(X0,X1)
      | v10_lattices(X0)
      | ~ v3_struct_0(X0)
      | ~ l3_lattices(X1)
      | v10_lattices(X1)
      | ~ v3_struct_0(X1)
      | ~ v3_lattice4(X2,X0,X1)
      | ~ m1_lattice4(X2,X0,X1)
      | ~ l3_lattices(X0) ),
    inference(consistent_polarity_flipping,[],[f242]) ).

fof(f466,plain,
    ! [X0] :
      ( m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
      | ~ v3_conlat_1(X0)
      | l2_conlat_1(X0) ),
    inference(consistent_polarity_flipping,[],[f248]) ).

fof(f467,plain,
    ! [X0] :
      ( v3_struct_0(k11_conlat_1(X0))
      | ~ v3_conlat_1(X0)
      | l2_conlat_1(X0) ),
    inference(consistent_polarity_flipping,[],[f251]) ).

fof(f469,plain,
    ! [X0] :
      ( l3_lattices(k11_conlat_1(X0))
      | ~ v3_conlat_1(X0)
      | l2_conlat_1(X0) ),
    inference(consistent_polarity_flipping,[],[f249]) ).

fof(f472,plain,
    ! [X0] :
      ( v3_conlat_1(k7_conlat_2(X0))
      | ~ v3_conlat_1(X0)
      | l2_conlat_1(X0) ),
    inference(consistent_polarity_flipping,[],[f258]) ).

fof(f474,plain,
    ! [X0] :
      ( ~ l2_conlat_1(k7_conlat_2(X0))
      | ~ v3_conlat_1(X0)
      | l2_conlat_1(X0) ),
    inference(consistent_polarity_flipping,[],[f256]) ).

fof(f507,plain,
    ! [X0] :
      ( ~ v10_lattices(k11_conlat_1(X0))
      | ~ v3_conlat_1(X0)
      | l2_conlat_1(X0) ),
    inference(consistent_polarity_flipping,[],[f290]) ).

fof(f512,plain,
    ! [X0] :
      ( v3_struct_0(k1_lattice2(X0))
      | ~ v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(consistent_polarity_flipping,[],[f300]) ).

fof(f571,plain,
    ! [X0] :
      ( ~ v10_lattices(k1_lattice2(X0))
      | v10_lattices(X0)
      | ~ v3_struct_0(X0)
      | ~ l3_lattices(X0) ),
    inference(consistent_polarity_flipping,[],[f353]) ).

fof(f614,plain,
    ! [X0,X1] :
      ( ~ r1_filter_1(X1,X0)
      | v10_lattices(X1)
      | ~ v3_struct_0(X1)
      | ~ l3_lattices(X0)
      | v10_lattices(X0)
      | ~ v3_struct_0(X0)
      | r1_filter_1(X0,X1)
      | ~ l3_lattices(X1) ),
    inference(consistent_polarity_flipping,[],[f429]) ).

fof(f615,plain,
    ! [X0] :
      ( v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
      | ~ v3_conlat_1(X0)
      | l2_conlat_1(X0) ),
    inference(consistent_polarity_flipping,[],[f431]) ).

fof(f829,plain,
    ( v10_lattices(k11_conlat_1(k7_conlat_2(sK0)))
    | ~ v3_struct_0(k11_conlat_1(k7_conlat_2(sK0)))
    | ~ l3_lattices(k1_lattice2(k11_conlat_1(sK0)))
    | v10_lattices(k1_lattice2(k11_conlat_1(sK0)))
    | ~ v3_struct_0(k1_lattice2(k11_conlat_1(sK0)))
    | r1_filter_1(k1_lattice2(k11_conlat_1(sK0)),k11_conlat_1(k7_conlat_2(sK0)))
    | ~ l3_lattices(k11_conlat_1(k7_conlat_2(sK0))) ),
    inference(resolution,[],[f614,f439]) ).

fof(f831,definition,
    ( spl28_13
  <=> l3_lattices(k11_conlat_1(k7_conlat_2(sK0))) ),
    introduced(definition,[new_symbols(definition,[spl28_13])],[avatar_definition]) ).

fof(f832,plain,
    ( l3_lattices(k11_conlat_1(k7_conlat_2(sK0)))
    | ~ spl28_13 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f833,plain,
    ( ~ l3_lattices(k11_conlat_1(k7_conlat_2(sK0)))
    | spl28_13 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f835,definition,
    ( spl28_14
  <=> r1_filter_1(k1_lattice2(k11_conlat_1(sK0)),k11_conlat_1(k7_conlat_2(sK0))) ),
    introduced(definition,[new_symbols(definition,[spl28_14])],[avatar_definition]) ).

fof(f837,plain,
    ( r1_filter_1(k1_lattice2(k11_conlat_1(sK0)),k11_conlat_1(k7_conlat_2(sK0)))
    | ~ spl28_14 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f839,definition,
    ( spl28_15
  <=> v3_struct_0(k1_lattice2(k11_conlat_1(sK0))) ),
    introduced(definition,[new_symbols(definition,[spl28_15])],[avatar_definition]) ).

fof(f840,plain,
    ( v3_struct_0(k1_lattice2(k11_conlat_1(sK0)))
    | ~ spl28_15 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f841,plain,
    ( ~ v3_struct_0(k1_lattice2(k11_conlat_1(sK0)))
    | spl28_15 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f843,definition,
    ( spl28_16
  <=> v10_lattices(k1_lattice2(k11_conlat_1(sK0))) ),
    introduced(definition,[new_symbols(definition,[spl28_16])],[avatar_definition]) ).

fof(f844,plain,
    ( ~ v10_lattices(k1_lattice2(k11_conlat_1(sK0)))
    | spl28_16 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f845,plain,
    ( v10_lattices(k1_lattice2(k11_conlat_1(sK0)))
    | ~ spl28_16 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f847,definition,
    ( spl28_17
  <=> l3_lattices(k1_lattice2(k11_conlat_1(sK0))) ),
    introduced(definition,[new_symbols(definition,[spl28_17])],[avatar_definition]) ).

fof(f848,plain,
    ( l3_lattices(k1_lattice2(k11_conlat_1(sK0)))
    | ~ spl28_17 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f849,plain,
    ( ~ l3_lattices(k1_lattice2(k11_conlat_1(sK0)))
    | spl28_17 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f851,definition,
    ( spl28_18
  <=> v3_struct_0(k11_conlat_1(k7_conlat_2(sK0))) ),
    introduced(definition,[new_symbols(definition,[spl28_18])],[avatar_definition]) ).

fof(f852,plain,
    ( v3_struct_0(k11_conlat_1(k7_conlat_2(sK0)))
    | ~ spl28_18 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f853,plain,
    ( ~ v3_struct_0(k11_conlat_1(k7_conlat_2(sK0)))
    | spl28_18 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f855,definition,
    ( spl28_19
  <=> v10_lattices(k11_conlat_1(k7_conlat_2(sK0))) ),
    introduced(definition,[new_symbols(definition,[spl28_19])],[avatar_definition]) ).

fof(f856,plain,
    ( ~ v10_lattices(k11_conlat_1(k7_conlat_2(sK0)))
    | spl28_19 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f857,plain,
    ( v10_lattices(k11_conlat_1(k7_conlat_2(sK0)))
    | ~ spl28_19 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f858,plain,
    ( ~ spl28_13
    | spl28_14
    | ~ spl28_15
    | spl28_16
    | ~ spl28_17
    | ~ spl28_18
    | spl28_19 ),
    inference(avatar_split_clause,[],[f829,f855,f851,f847,f843,f839,f835,f831]) ).

fof(f915,plain,
    ( ~ v3_conlat_1(k7_conlat_2(sK0))
    | l2_conlat_1(k7_conlat_2(sK0))
    | spl28_13 ),
    inference(resolution,[],[f833,f469]) ).

fof(f917,definition,
    ( spl28_21
  <=> l2_conlat_1(k7_conlat_2(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl28_21])],[avatar_definition]) ).

fof(f918,plain,
    ( ~ l2_conlat_1(k7_conlat_2(sK0))
    | spl28_21 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f919,plain,
    ( l2_conlat_1(k7_conlat_2(sK0))
    | ~ spl28_21 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f921,definition,
    ( spl28_22
  <=> v3_conlat_1(k7_conlat_2(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl28_22])],[avatar_definition]) ).

fof(f922,plain,
    ( v3_conlat_1(k7_conlat_2(sK0))
    | ~ spl28_22 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f923,plain,
    ( ~ v3_conlat_1(k7_conlat_2(sK0))
    | spl28_22 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f924,plain,
    ( spl28_21
    | ~ spl28_22
    | spl28_13 ),
    inference(avatar_split_clause,[],[f915,f831,f921,f917]) ).

fof(f945,plain,
    ( ~ v3_conlat_1(sK0)
    | l2_conlat_1(sK0)
    | spl28_22 ),
    inference(resolution,[],[f923,f472]) ).

fof(f946,plain,
    ( l2_conlat_1(sK0)
    | spl28_22 ),
    inference(forward_subsumption_resolution,[],[f945,f440]) ).

fof(f947,plain,
    ( $false
    | spl28_22 ),
    inference(forward_subsumption_resolution,[],[f946,f441]) ).

fof(f948,plain,
    spl28_22,
    inference(avatar_contradiction_clause,[],[f947]) ).

fof(f1120,plain,
    ( ~ v3_struct_0(k11_conlat_1(sK0))
    | ~ l3_lattices(k11_conlat_1(sK0))
    | spl28_15 ),
    inference(resolution,[],[f841,f512]) ).

fof(f1122,definition,
    ( spl28_59
  <=> l3_lattices(k11_conlat_1(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl28_59])],[avatar_definition]) ).

fof(f1123,plain,
    ( l3_lattices(k11_conlat_1(sK0))
    | ~ spl28_59 ),
    inference(avatar_component_clause,[],[f1122]) ).

fof(f1124,plain,
    ( ~ l3_lattices(k11_conlat_1(sK0))
    | spl28_59 ),
    inference(avatar_component_clause,[],[f1122]) ).

fof(f1126,definition,
    ( spl28_60
  <=> v3_struct_0(k11_conlat_1(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl28_60])],[avatar_definition]) ).

fof(f1127,plain,
    ( v3_struct_0(k11_conlat_1(sK0))
    | ~ spl28_60 ),
    inference(avatar_component_clause,[],[f1126]) ).

fof(f1128,plain,
    ( ~ v3_struct_0(k11_conlat_1(sK0))
    | spl28_60 ),
    inference(avatar_component_clause,[],[f1126]) ).

fof(f1129,plain,
    ( ~ spl28_59
    | ~ spl28_60
    | spl28_15 ),
    inference(avatar_split_clause,[],[f1120,f839,f1126,f1122]) ).

fof(f1153,plain,
    ( ~ v3_conlat_1(sK0)
    | l2_conlat_1(sK0)
    | ~ spl28_21 ),
    inference(resolution,[],[f919,f474]) ).

fof(f1154,plain,
    ( l2_conlat_1(sK0)
    | ~ spl28_21 ),
    inference(forward_subsumption_resolution,[],[f1153,f440]) ).

fof(f1155,plain,
    ( $false
    | ~ spl28_21 ),
    inference(forward_subsumption_resolution,[],[f1154,f441]) ).

fof(f1156,plain,
    ~ spl28_21,
    inference(avatar_contradiction_clause,[],[f1155]) ).

fof(f1160,plain,
    ( ~ v3_conlat_1(sK0)
    | l2_conlat_1(sK0)
    | spl28_59 ),
    inference(resolution,[],[f1124,f469]) ).

fof(f1161,plain,
    ( l2_conlat_1(sK0)
    | spl28_59 ),
    inference(forward_subsumption_resolution,[],[f1160,f440]) ).

fof(f1162,plain,
    ( $false
    | spl28_59 ),
    inference(forward_subsumption_resolution,[],[f1161,f441]) ).

fof(f1163,plain,
    spl28_59,
    inference(avatar_contradiction_clause,[],[f1162]) ).

fof(f1189,plain,
    ( ~ v3_conlat_1(sK0)
    | l2_conlat_1(sK0)
    | spl28_60 ),
    inference(resolution,[],[f1128,f467]) ).

fof(f1190,plain,
    ( l2_conlat_1(sK0)
    | spl28_60 ),
    inference(forward_subsumption_resolution,[],[f1189,f440]) ).

fof(f1191,plain,
    ( $false
    | spl28_60 ),
    inference(forward_subsumption_resolution,[],[f1190,f441]) ).

fof(f1192,plain,
    spl28_60,
    inference(avatar_contradiction_clause,[],[f1191]) ).

fof(f1193,plain,
    ( ~ l3_lattices(k11_conlat_1(sK0))
    | spl28_17 ),
    inference(resolution,[],[f849,f252]) ).

fof(f1194,plain,
    ( $false
    | spl28_17
    | ~ spl28_59 ),
    inference(forward_subsumption_resolution,[],[f1193,f1123]) ).

fof(f1195,plain,
    ( spl28_17
    | ~ spl28_59 ),
    inference(avatar_contradiction_clause,[],[f1194]) ).

fof(f1196,plain,
    ( ~ v3_conlat_1(k7_conlat_2(sK0))
    | l2_conlat_1(k7_conlat_2(sK0))
    | spl28_18 ),
    inference(resolution,[],[f853,f467]) ).

fof(f1197,plain,
    ( l2_conlat_1(k7_conlat_2(sK0))
    | spl28_18
    | ~ spl28_22 ),
    inference(forward_subsumption_resolution,[],[f1196,f922]) ).

fof(f1198,plain,
    ( $false
    | spl28_18
    | spl28_21
    | ~ spl28_22 ),
    inference(forward_subsumption_resolution,[],[f1197,f918]) ).

fof(f1199,plain,
    ( spl28_18
    | spl28_21
    | ~ spl28_22 ),
    inference(avatar_contradiction_clause,[],[f1198]) ).

fof(f1200,plain,
    ( v10_lattices(k11_conlat_1(sK0))
    | ~ v3_struct_0(k11_conlat_1(sK0))
    | ~ l3_lattices(k11_conlat_1(sK0))
    | ~ spl28_16 ),
    inference(resolution,[],[f845,f571]) ).

fof(f1203,plain,
    ( v10_lattices(k11_conlat_1(sK0))
    | ~ v3_struct_0(k11_conlat_1(sK0))
    | ~ spl28_16
    | ~ spl28_59 ),
    inference(forward_subsumption_resolution,[],[f1200,f1123]) ).

fof(f1206,definition,
    ( spl28_64
  <=> v10_lattices(k11_conlat_1(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl28_64])],[avatar_definition]) ).

fof(f1208,plain,
    ( v10_lattices(k11_conlat_1(sK0))
    | ~ spl28_64 ),
    inference(avatar_component_clause,[],[f1206]) ).

fof(f1235,plain,
    ( ~ v3_conlat_1(k7_conlat_2(sK0))
    | l2_conlat_1(k7_conlat_2(sK0))
    | ~ spl28_19 ),
    inference(resolution,[],[f857,f507]) ).

fof(f1238,plain,
    ( l2_conlat_1(k7_conlat_2(sK0))
    | ~ spl28_19
    | ~ spl28_22 ),
    inference(forward_subsumption_resolution,[],[f1235,f922]) ).

fof(f1240,plain,
    ( $false
    | ~ spl28_19
    | spl28_21
    | ~ spl28_22 ),
    inference(forward_subsumption_resolution,[],[f1238,f918]) ).

fof(f1241,plain,
    ( ~ spl28_19
    | spl28_21
    | ~ spl28_22 ),
    inference(avatar_contradiction_clause,[],[f1240]) ).

fof(f1267,plain,
    ( ! [X0] :
        ( v10_lattices(k1_lattice2(k11_conlat_1(sK0)))
        | ~ v3_struct_0(k1_lattice2(k11_conlat_1(sK0)))
        | ~ l3_lattices(k11_conlat_1(k7_conlat_2(sK0)))
        | v10_lattices(k11_conlat_1(k7_conlat_2(sK0)))
        | ~ v3_struct_0(k11_conlat_1(k7_conlat_2(sK0)))
        | ~ v3_lattice4(X0,k1_lattice2(k11_conlat_1(sK0)),k11_conlat_1(k7_conlat_2(sK0)))
        | ~ m1_lattice4(X0,k1_lattice2(k11_conlat_1(sK0)),k11_conlat_1(k7_conlat_2(sK0)))
        | ~ l3_lattices(k1_lattice2(k11_conlat_1(sK0))) )
    | ~ spl28_14 ),
    inference(resolution,[],[f837,f458]) ).

fof(f1269,plain,
    ( ! [X0] :
        ( ~ v3_struct_0(k1_lattice2(k11_conlat_1(sK0)))
        | ~ l3_lattices(k11_conlat_1(k7_conlat_2(sK0)))
        | v10_lattices(k11_conlat_1(k7_conlat_2(sK0)))
        | ~ v3_struct_0(k11_conlat_1(k7_conlat_2(sK0)))
        | ~ v3_lattice4(X0,k1_lattice2(k11_conlat_1(sK0)),k11_conlat_1(k7_conlat_2(sK0)))
        | ~ m1_lattice4(X0,k1_lattice2(k11_conlat_1(sK0)),k11_conlat_1(k7_conlat_2(sK0)))
        | ~ l3_lattices(k1_lattice2(k11_conlat_1(sK0))) )
    | ~ spl28_14
    | spl28_16 ),
    inference(forward_subsumption_resolution,[],[f1267,f844]) ).

fof(f1270,plain,
    ( ! [X0] :
        ( ~ l3_lattices(k11_conlat_1(k7_conlat_2(sK0)))
        | v10_lattices(k11_conlat_1(k7_conlat_2(sK0)))
        | ~ v3_struct_0(k11_conlat_1(k7_conlat_2(sK0)))
        | ~ v3_lattice4(X0,k1_lattice2(k11_conlat_1(sK0)),k11_conlat_1(k7_conlat_2(sK0)))
        | ~ m1_lattice4(X0,k1_lattice2(k11_conlat_1(sK0)),k11_conlat_1(k7_conlat_2(sK0)))
        | ~ l3_lattices(k1_lattice2(k11_conlat_1(sK0))) )
    | ~ spl28_14
    | ~ spl28_15
    | spl28_16 ),
    inference(forward_subsumption_resolution,[],[f1269,f840]) ).

fof(f1271,plain,
    ( ! [X0] :
        ( v10_lattices(k11_conlat_1(k7_conlat_2(sK0)))
        | ~ v3_struct_0(k11_conlat_1(k7_conlat_2(sK0)))
        | ~ v3_lattice4(X0,k1_lattice2(k11_conlat_1(sK0)),k11_conlat_1(k7_conlat_2(sK0)))
        | ~ m1_lattice4(X0,k1_lattice2(k11_conlat_1(sK0)),k11_conlat_1(k7_conlat_2(sK0)))
        | ~ l3_lattices(k1_lattice2(k11_conlat_1(sK0))) )
    | ~ spl28_13
    | ~ spl28_14
    | ~ spl28_15
    | spl28_16 ),
    inference(forward_subsumption_resolution,[],[f1270,f832]) ).

fof(f1272,plain,
    ( ! [X0] :
        ( ~ v3_struct_0(k11_conlat_1(k7_conlat_2(sK0)))
        | ~ v3_lattice4(X0,k1_lattice2(k11_conlat_1(sK0)),k11_conlat_1(k7_conlat_2(sK0)))
        | ~ m1_lattice4(X0,k1_lattice2(k11_conlat_1(sK0)),k11_conlat_1(k7_conlat_2(sK0)))
        | ~ l3_lattices(k1_lattice2(k11_conlat_1(sK0))) )
    | ~ spl28_13
    | ~ spl28_14
    | ~ spl28_15
    | spl28_16
    | spl28_19 ),
    inference(forward_subsumption_resolution,[],[f1271,f856]) ).

fof(f1273,plain,
    ( ! [X0] :
        ( ~ v3_lattice4(X0,k1_lattice2(k11_conlat_1(sK0)),k11_conlat_1(k7_conlat_2(sK0)))
        | ~ m1_lattice4(X0,k1_lattice2(k11_conlat_1(sK0)),k11_conlat_1(k7_conlat_2(sK0)))
        | ~ l3_lattices(k1_lattice2(k11_conlat_1(sK0))) )
    | ~ spl28_13
    | ~ spl28_14
    | ~ spl28_15
    | spl28_16
    | ~ spl28_18
    | spl28_19 ),
    inference(forward_subsumption_resolution,[],[f1272,f852]) ).

fof(f1274,plain,
    ( ! [X0] :
        ( ~ v3_lattice4(X0,k1_lattice2(k11_conlat_1(sK0)),k11_conlat_1(k7_conlat_2(sK0)))
        | ~ m1_lattice4(X0,k1_lattice2(k11_conlat_1(sK0)),k11_conlat_1(k7_conlat_2(sK0))) )
    | ~ spl28_13
    | ~ spl28_14
    | ~ spl28_15
    | spl28_16
    | ~ spl28_17
    | ~ spl28_18
    | spl28_19 ),
    inference(forward_subsumption_resolution,[],[f1273,f848]) ).

fof(f1885,plain,
    ( ~ m1_lattice4(k10_conlat_2(sK0),k1_lattice2(k11_conlat_1(sK0)),k11_conlat_1(k7_conlat_2(sK0)))
    | ~ v3_conlat_1(sK0)
    | l2_conlat_1(sK0)
    | ~ spl28_13
    | ~ spl28_14
    | ~ spl28_15
    | spl28_16
    | ~ spl28_17
    | ~ spl28_18
    | spl28_19 ),
    inference(resolution,[],[f1274,f615]) ).

fof(f1887,plain,
    ( ~ v3_conlat_1(sK0)
    | l2_conlat_1(sK0)
    | ~ spl28_13
    | ~ spl28_14
    | ~ spl28_15
    | spl28_16
    | ~ spl28_17
    | ~ spl28_18
    | spl28_19 ),
    inference(forward_subsumption_resolution,[],[f1885,f466]) ).

fof(f1888,plain,
    ( l2_conlat_1(sK0)
    | ~ spl28_13
    | ~ spl28_14
    | ~ spl28_15
    | spl28_16
    | ~ spl28_17
    | ~ spl28_18
    | spl28_19 ),
    inference(forward_subsumption_resolution,[],[f1887,f440]) ).

fof(f1889,plain,
    ( $false
    | ~ spl28_13
    | ~ spl28_14
    | ~ spl28_15
    | spl28_16
    | ~ spl28_17
    | ~ spl28_18
    | spl28_19 ),
    inference(forward_subsumption_resolution,[],[f1888,f441]) ).

fof(f1890,plain,
    ( ~ spl28_13
    | ~ spl28_14
    | ~ spl28_15
    | spl28_16
    | ~ spl28_17
    | ~ spl28_18
    | spl28_19 ),
    inference(avatar_contradiction_clause,[],[f1889]) ).

fof(f1894,plain,
    ( v10_lattices(k11_conlat_1(sK0))
    | ~ spl28_16
    | ~ spl28_59
    | ~ spl28_60 ),
    inference(forward_subsumption_resolution,[],[f1203,f1127]) ).

fof(f1900,plain,
    ( spl28_64
    | ~ spl28_16
    | ~ spl28_59
    | ~ spl28_60 ),
    inference(avatar_split_clause,[],[f1894,f1126,f1122,f843,f1206]) ).

fof(f1917,plain,
    ( ~ v3_conlat_1(sK0)
    | l2_conlat_1(sK0)
    | ~ spl28_64 ),
    inference(resolution,[],[f1208,f507]) ).

fof(f1920,plain,
    ( l2_conlat_1(sK0)
    | ~ spl28_64 ),
    inference(forward_subsumption_resolution,[],[f1917,f440]) ).

fof(f1922,plain,
    ( $false
    | ~ spl28_64 ),
    inference(forward_subsumption_resolution,[],[f1920,f441]) ).

fof(f1923,plain,
    ~ spl28_64,
    inference(avatar_contradiction_clause,[],[f1922]) ).

cnf(s11,plain,
    ( ~ spl28_13
    | spl28_14
    | ~ spl28_15
    | spl28_16
    | ~ spl28_17
    | ~ spl28_18
    | spl28_19 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s13,plain,
    ( spl28_13
    | spl28_21
    | ~ spl28_22 ),
    inference(sat_conversion,[],[f924]) ).

cnf(s14,plain,
    spl28_22,
    inference(sat_conversion,[],[f948]) ).

cnf(s27,plain,
    ( spl28_15
    | ~ spl28_59
    | ~ spl28_60 ),
    inference(sat_conversion,[],[f1129]) ).

cnf(s31,plain,
    ~ spl28_21,
    inference(sat_conversion,[],[f1156]) ).

cnf(s32,plain,
    spl28_59,
    inference(sat_conversion,[],[f1163]) ).

cnf(s33,plain,
    spl28_60,
    inference(sat_conversion,[],[f1192]) ).

cnf(s34,plain,
    ( spl28_17
    | ~ spl28_59 ),
    inference(sat_conversion,[],[f1195]) ).

cnf(s35,plain,
    ( spl28_18
    | spl28_21
    | ~ spl28_22 ),
    inference(sat_conversion,[],[f1199]) ).

cnf(s38,plain,
    ( ~ spl28_19
    | spl28_21
    | ~ spl28_22 ),
    inference(sat_conversion,[],[f1241]) ).

cnf(s55,plain,
    ( ~ spl28_13
    | ~ spl28_14
    | ~ spl28_15
    | spl28_16
    | ~ spl28_17
    | ~ spl28_18
    | spl28_19 ),
    inference(sat_conversion,[],[f1890]) ).

cnf(s58,plain,
    ( ~ spl28_16
    | ~ spl28_59
    | ~ spl28_60
    | spl28_64 ),
    inference(sat_conversion,[],[f1900]) ).

cnf(s64,plain,
    ~ spl28_64,
    inference(sat_conversion,[],[f1923]) ).

cnf(s66,plain,
    ( ~ spl28_16
    | ~ spl28_59
    | ~ spl28_60 ),
    inference(rat,[],[s58,s64]) ).

cnf(s68,plain,
    ~ spl28_16,
    inference(rat,[],[s66,s33,s32]) ).

cnf(s69,plain,
    spl28_17,
    inference(rat,[],[s34,s32]) ).

cnf(s72,plain,
    spl28_15,
    inference(rat,[],[s27,s33,s32]) ).

cnf(s76,plain,
    ~ spl28_19,
    inference(rat,[],[s38,s31,s14]) ).

cnf(s77,plain,
    spl28_18,
    inference(rat,[],[s35,s31,s14]) ).

cnf(s78,plain,
    spl28_13,
    inference(rat,[],[s13,s14,s31]) ).

cnf(s79,plain,
    ~ spl28_14,
    inference(rat,[],[s55,s76,s77,s69,s68,s72,s78]) ).

cnf(s81,plain,
    $false,
    inference(rat,[],[s11,s76,s77,s69,s68,s72,s79,s78]) ).

fof(f1949,plain,
    $false,
    inference(avatar_sat_refutation,[],[s81]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT346+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41  % Computer : n016.cluster.edu
% 0.12/0.41  % Model    : x86_64 x86_64
% 0.12/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41  % Memory   : 8046.5625MB
% 0.12/0.41  % OS       : Linux 6.8.0-71-generic
% 0.12/0.41  % CPULimit : 300
% 0.12/0.41  % WCLimit  : 300
% 0.12/0.41  % DateTime : Sun Sep 27 14:57:02 UTC 2026
% 0.12/0.41  % CPUTime  : 
% 0.12/0.42  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.45  Running first-order model finding
% 0.12/0.45  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.58  % (2735378)Will run a generic schedule for satisfiability detection.
% 0.20/0.58  % (2735387)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=61319840:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.58  % (2735384)% WARNING: option uhcvi not known.
% 0.20/0.58  % (2735386)dis+10_1_sil=32000:sp=arity:random_seed=4016952780:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.58  % (2735385)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2573162211:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.58  % (2735383)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2172594622_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.58  % (2735384)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=424408199:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.58  % (2735389)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=859541170:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.58  % (2735388)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2812311276:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.58  % TRYING [1]
% 0.20/0.58  % TRYING [2]
% 0.20/0.58  % TRYING [3]
% 0.20/0.58  % TRYING [4]
% 0.20/0.58  % (2735387)Instruction limit reached! 
% 0.20/0.58  % (2735387)------------------------------
% 0.20/0.58  % (2735387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.58  % (2735387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.58  % (2735387)CaDiCaL version: 2.1.3
% 0.20/0.58  % (2735387)Termination reason: Instruction limit
% 0.20/0.58  % (2735387)Termination phase: Saturation
% 0.20/0.58  % (2735387)Time elapsed: 0.066 s
% 0.20/0.58  % (2735387)Peak memory usage: 13 MB
% 0.20/0.58  % (2735387)Instructions burned: 116 (million)
% 0.20/0.58  % (2735384) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2735378-2735384"...
% 0.20/0.58  % (2735397)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=159021757:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.58  % (2735384)...printing done.
% 0.20/0.58  % (2735384)Refutation found. Thanks to Tanya!
% 0.20/0.58  % SZS status Theorem for theBenchmark
% 0.20/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59  % (2735384)------------------------------
% 0.20/0.59  % (2735384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.59  % (2735384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.59  % (2735384)CaDiCaL version: 2.1.3
% 0.20/0.59  % (2735384)Termination reason: Refutation
% 0.20/0.59  % (2735384)Time elapsed: 0.073 s
% 0.20/0.59  % (2735384)Peak memory usage: 13 MB
% 0.20/0.59  % (2735384)Instructions burned: 69 (million)
% 0.20/0.59  % (2735378)Success in time 0.117 s
% 0.20/0.59  % Vampire exiting
%------------------------------------------------------------------------------