TSTP Solution File: LCL684+1.005 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : LCL684+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n009.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  : 600s
% DateTime : Sun Jul 17 11:38:27 EDT 2022

% Result   : Theorem 3.14s 3.35s
% Output   : CNFRefutation 3.14s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(transitivity,axiom,
    ! [X,Y,Z] :
      ( ( r1(X,Y)
        & r1(Y,Z) )
     => r1(X,Z) ),
    input ).

fof(transitivity_0,plain,
    ! [X,Y,Z] :
      ( r1(X,Z)
      | ~ ( r1(X,Y)
          & r1(Y,Z) ) ),
    inference(orientation,[status(thm)],[transitivity]) ).

fof(reflexivity,axiom,
    ! [X] : r1(X,X),
    input ).

fof(reflexivity_0,plain,
    ! [X] :
      ( r1(X,X)
      | $false ),
    inference(orientation,[status(thm)],[reflexivity]) ).

fof(def_lhs_atom1,axiom,
    ! [X] :
      ( lhs_atom1(X)
    <=> r1(X,X) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [X] :
      ( lhs_atom1(X)
      | $false ),
    inference(fold_definition,[status(thm)],[reflexivity_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [Z,X] :
      ( lhs_atom2(Z,X)
    <=> r1(X,Z) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [X,Y,Z] :
      ( lhs_atom2(Z,X)
      | ~ ( r1(X,Y)
          & r1(Y,Z) ) ),
    inference(fold_definition,[status(thm)],[transitivity_0,def_lhs_atom2]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X2,X3,X1] :
      ( lhs_atom2(X2,X1)
      | ~ ( r1(X1,X3)
          & r1(X3,X2) ) ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_1,axiom,
    ! [X1] :
      ( lhs_atom1(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_2,axiom,
    ! [X2,X3,X1] :
      ( lhs_atom2(X2,X1)
      | ~ ( r1(X1,X3)
          & r1(X3,X2) ) ),
    c_0_0 ).

fof(c_0_3,plain,
    ! [X1] : lhs_atom1(X1),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_4,plain,
    ! [X4,X5,X6] :
      ( lhs_atom2(X4,X6)
      | ~ r1(X6,X5)
      | ~ r1(X5,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])]) ).

fof(c_0_5,plain,
    ! [X2] : lhs_atom1(X2),
    inference(variable_rename,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( lhs_atom2(X2,X3)
    | ~ r1(X1,X2)
    | ~ r1(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    lhs_atom1(X1),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( lhs_atom2(X2,X3)
    | ~ r1(X1,X2)
    | ~ r1(X3,X1) ),
    c_0_6,
    [final] ).

cnf(c_0_9,plain,
    lhs_atom1(X1),
    c_0_7,
    [final] ).

% End CNF derivation
cnf(c_0_8_0,axiom,
    ( r1(X3,X2)
    | ~ r1(X1,X2)
    | ~ r1(X3,X1) ),
    inference(unfold_definition,[status(thm)],[c_0_8,def_lhs_atom2]) ).

cnf(c_0_9_0,axiom,
    r1(X1,X1),
    inference(unfold_definition,[status(thm)],[c_0_9,def_lhs_atom1]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    ~ ? [X1] :
        ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p605(X1)
                              & p505(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p605(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p405(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p505(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p405(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p605(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p305(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p505(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p305(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p405(X2) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p305(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p605(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p205(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p505(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p205(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p405(X2) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p205(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p305(X2) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p205(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p605(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p105(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p505(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p105(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p405(X2) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p105(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p305(X2) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p105(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p205(X2) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p105(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p604(X1)
                              & p504(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p604(X1)
                              & p404(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p504(X1)
                              & p404(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p604(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p304(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p504(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p304(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p404(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p304(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p604(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p204(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p504(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p204(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p404(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p204(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p304(X2) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p204(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p604(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p104(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p504(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p104(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p404(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p104(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p304(X2) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p104(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p204(X2) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p104(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p603(X1)
                              & p503(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p603(X1)
                              & p403(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p503(X1)
                              & p403(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p603(X1)
                              & p303(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p503(X1)
                              & p303(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p403(X1)
                              & p303(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p603(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p203(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p503(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p203(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p403(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p203(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p303(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p203(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p603(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p103(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p503(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p103(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p403(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p103(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p303(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p103(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p203(X2) )
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p103(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p602(X1)
                              & p502(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p602(X1)
                              & p402(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p502(X1)
                              & p402(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p602(X1)
                              & p302(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p502(X1)
                              & p302(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p402(X1)
                              & p302(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p602(X1)
                              & p202(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p502(X1)
                              & p202(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p402(X1)
                              & p202(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p302(X1)
                              & p202(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p602(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p102(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p502(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p102(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p402(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p102(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p302(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p102(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p202(X1)
                              & ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p102(X2) ) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p601(X1)
                              & p501(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p601(X1)
                              & p401(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p501(X1)
                              & p401(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p601(X1)
                              & p301(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p501(X1)
                              & p301(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p401(X1)
                              & p301(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p601(X1)
                              & p201(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p501(X1)
                              & p201(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p401(X1)
                              & p201(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p301(X1)
                              & p201(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p601(X1)
                              & p101(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p501(X1)
                              & p101(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p401(X1)
                              & p101(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p301(X1)
                              & p101(X1) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( p201(X1)
                              & p101(X1) ) ) ) )
          | ~ ( ( p605(X1)
                | p604(X1)
                | p603(X1)
                | p602(X1)
                | p601(X1) )
              & ( p505(X1)
                | p504(X1)
                | p503(X1)
                | p502(X1)
                | p501(X1) )
              & ( ! [X2] :
                    ( ~ r1(X1,X2)
                    | p405(X2) )
                | p404(X1)
                | p403(X1)
                | p402(X1)
                | p401(X1) )
              & ( ! [X2] :
                    ( ~ r1(X1,X2)
                    | p305(X2) )
                | ! [X2] :
                    ( ~ r1(X1,X2)
                    | p304(X2) )
                | p303(X1)
                | p302(X1)
                | p301(X1) )
              & ( ! [X2] :
                    ( ~ r1(X1,X2)
                    | p205(X2) )
                | ! [X2] :
                    ( ~ r1(X1,X2)
                    | p204(X2) )
                | ! [X2] :
                    ( ~ r1(X1,X2)
                    | p203(X2) )
                | p202(X1)
                | p201(X1) )
              & ( ! [X2] :
                    ( ~ r1(X1,X2)
                    | p105(X2) )
                | ! [X2] :
                    ( ~ r1(X1,X2)
                    | p104(X2) )
                | ! [X2] :
                    ( ~ r1(X1,X2)
                    | p103(X2) )
                | ! [X2] :
                    ( ~ r1(X1,X2)
                    | p102(X2) )
                | p101(X1) ) ) ),
    file('<stdin>',main) ).

fof(c_0_1_002,plain,
    ! [X2] :
      ( epred1_1(X2)
    <=> ~ ( ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p605(X1)
                    & p505(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p605(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p405(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p505(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p405(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p605(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p305(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p505(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p305(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p405(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p305(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p605(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p205(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p505(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p205(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p405(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p205(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p305(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p205(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p605(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p105(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p505(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p105(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p405(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p105(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p305(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p105(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p205(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p105(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p604(X1)
                    & p504(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p604(X1)
                    & p404(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p504(X1)
                    & p404(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p604(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p304(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p504(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p304(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p404(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p304(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p604(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p204(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p504(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p204(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p404(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p204(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p304(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p204(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p604(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p104(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p504(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p104(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p404(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p104(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p304(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p104(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p204(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p104(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p603(X1)
                    & p503(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p603(X1)
                    & p403(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p503(X1)
                    & p403(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p603(X1)
                    & p303(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p503(X1)
                    & p303(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p403(X1)
                    & p303(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p603(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p203(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p503(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p203(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p403(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p203(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p303(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p203(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p603(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p103(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p503(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p103(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p403(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p103(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p303(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p103(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p203(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p103(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p602(X1)
                    & p502(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p602(X1)
                    & p402(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p502(X1)
                    & p402(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p602(X1)
                    & p302(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p502(X1)
                    & p302(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p402(X1)
                    & p302(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p602(X1)
                    & p202(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p502(X1)
                    & p202(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p402(X1)
                    & p202(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p302(X1)
                    & p202(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p602(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p102(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p502(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p102(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p402(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p102(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p302(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p102(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p202(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p102(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p601(X1)
                    & p501(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p601(X1)
                    & p401(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p501(X1)
                    & p401(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p601(X1)
                    & p301(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p501(X1)
                    & p301(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p401(X1)
                    & p301(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p601(X1)
                    & p201(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p501(X1)
                    & p201(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p401(X1)
                    & p201(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p301(X1)
                    & p201(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p601(X1)
                    & p101(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p501(X1)
                    & p101(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p401(X1)
                    & p101(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p301(X1)
                    & p101(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p201(X1)
                    & p101(X1) ) ) ) ),
    introduced(definition) ).

fof(c_0_2_003,plain,
    ! [X2] :
      ( epred1_1(X2)
     => ~ ( ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p605(X1)
                    & p505(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p605(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p405(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p505(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p405(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p605(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p305(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p505(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p305(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p405(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p305(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p605(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p205(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p505(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p205(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p405(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p205(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p305(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p205(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p605(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p105(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p505(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p105(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p405(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p105(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p305(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p105(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p205(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p105(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p604(X1)
                    & p504(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p604(X1)
                    & p404(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p504(X1)
                    & p404(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p604(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p304(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p504(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p304(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p404(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p304(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p604(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p204(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p504(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p204(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p404(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p204(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p304(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p204(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p604(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p104(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p504(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p104(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p404(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p104(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p304(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p104(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p204(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p104(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p603(X1)
                    & p503(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p603(X1)
                    & p403(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p503(X1)
                    & p403(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p603(X1)
                    & p303(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p503(X1)
                    & p303(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p403(X1)
                    & p303(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p603(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p203(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p503(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p203(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p403(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p203(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p303(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p203(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p603(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p103(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p503(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p103(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p403(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p103(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p303(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p103(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( ! [X2] :
                        ( ~ r1(X1,X2)
                        | p203(X2) )
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p103(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p602(X1)
                    & p502(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p602(X1)
                    & p402(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p502(X1)
                    & p402(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p602(X1)
                    & p302(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p502(X1)
                    & p302(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p402(X1)
                    & p302(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p602(X1)
                    & p202(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p502(X1)
                    & p202(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p402(X1)
                    & p202(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p302(X1)
                    & p202(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p602(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p102(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p502(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p102(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p402(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p102(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p302(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p102(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p202(X1)
                    & ! [X2] :
                        ( ~ r1(X1,X2)
                        | p102(X2) ) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p601(X1)
                    & p501(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p601(X1)
                    & p401(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p501(X1)
                    & p401(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p601(X1)
                    & p301(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p501(X1)
                    & p301(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p401(X1)
                    & p301(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p601(X1)
                    & p201(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p501(X1)
                    & p201(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p401(X1)
                    & p201(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p301(X1)
                    & p201(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p601(X1)
                    & p101(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p501(X1)
                    & p101(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p401(X1)
                    & p101(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p301(X1)
                    & p101(X1) ) )
          | ~ ! [X1] :
                ( ~ r1(X2,X1)
                | ~ ( p201(X1)
                    & p101(X1) ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_1]) ).

fof(c_0_3_004,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | epred1_1(X2) )
            | ~ ( ( p605(X1)
                  | p604(X1)
                  | p603(X1)
                  | p602(X1)
                  | p601(X1) )
                & ( p505(X1)
                  | p504(X1)
                  | p503(X1)
                  | p502(X1)
                  | p501(X1) )
                & ( ! [X2] :
                      ( ~ r1(X1,X2)
                      | p405(X2) )
                  | p404(X1)
                  | p403(X1)
                  | p402(X1)
                  | p401(X1) )
                & ( ! [X2] :
                      ( ~ r1(X1,X2)
                      | p305(X2) )
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | p304(X2) )
                  | p303(X1)
                  | p302(X1)
                  | p301(X1) )
                & ( ! [X2] :
                      ( ~ r1(X1,X2)
                      | p205(X2) )
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | p204(X2) )
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | p203(X2) )
                  | p202(X1)
                  | p201(X1) )
                & ( ! [X2] :
                      ( ~ r1(X1,X2)
                      | p105(X2) )
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | p104(X2) )
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | p103(X2) )
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | p102(X2) )
                  | p101(X1) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]),c_0_1,theory(equality,[symmetry])]) ).

fof(c_0_4_005,plain,
    ! [X3,X4,X5,X7,X9,X11,X13,X16,X18,X20,X23,X26,X28,X30,X33,X36,X39,X40,X41,X42,X44,X46,X48,X50,X52,X54,X57,X59,X61,X63,X66,X69,X70,X71,X72,X73,X74,X75,X77,X79,X81,X83,X85,X87,X89,X91,X94,X95,X96,X97,X98,X99,X100,X101,X102,X103,X104,X106,X108,X110,X112,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128] :
      ( ( ~ r1(X3,X4)
        | ~ p605(X4)
        | ~ p505(X4)
        | ~ epred1_1(X3) )
      & ( r1(X5,esk2_2(X3,X5))
        | ~ p605(X5)
        | ~ r1(X3,X5)
        | ~ epred1_1(X3) )
      & ( ~ p405(esk2_2(X3,X5))
        | ~ p605(X5)
        | ~ r1(X3,X5)
        | ~ epred1_1(X3) )
      & ( r1(X7,esk3_2(X3,X7))
        | ~ p505(X7)
        | ~ r1(X3,X7)
        | ~ epred1_1(X3) )
      & ( ~ p405(esk3_2(X3,X7))
        | ~ p505(X7)
        | ~ r1(X3,X7)
        | ~ epred1_1(X3) )
      & ( r1(X9,esk4_2(X3,X9))
        | ~ p605(X9)
        | ~ r1(X3,X9)
        | ~ epred1_1(X3) )
      & ( ~ p305(esk4_2(X3,X9))
        | ~ p605(X9)
        | ~ r1(X3,X9)
        | ~ epred1_1(X3) )
      & ( r1(X11,esk5_2(X3,X11))
        | ~ p505(X11)
        | ~ r1(X3,X11)
        | ~ epred1_1(X3) )
      & ( ~ p305(esk5_2(X3,X11))
        | ~ p505(X11)
        | ~ r1(X3,X11)
        | ~ epred1_1(X3) )
      & ( r1(X13,esk7_2(X3,X13))
        | r1(X13,esk6_2(X3,X13))
        | ~ r1(X3,X13)
        | ~ epred1_1(X3) )
      & ( ~ p305(esk7_2(X3,X13))
        | r1(X13,esk6_2(X3,X13))
        | ~ r1(X3,X13)
        | ~ epred1_1(X3) )
      & ( r1(X13,esk7_2(X3,X13))
        | ~ p405(esk6_2(X3,X13))
        | ~ r1(X3,X13)
        | ~ epred1_1(X3) )
      & ( ~ p305(esk7_2(X3,X13))
        | ~ p405(esk6_2(X3,X13))
        | ~ r1(X3,X13)
        | ~ epred1_1(X3) )
      & ( r1(X16,esk8_2(X3,X16))
        | ~ p605(X16)
        | ~ r1(X3,X16)
        | ~ epred1_1(X3) )
      & ( ~ p205(esk8_2(X3,X16))
        | ~ p605(X16)
        | ~ r1(X3,X16)
        | ~ epred1_1(X3) )
      & ( r1(X18,esk9_2(X3,X18))
        | ~ p505(X18)
        | ~ r1(X3,X18)
        | ~ epred1_1(X3) )
      & ( ~ p205(esk9_2(X3,X18))
        | ~ p505(X18)
        | ~ r1(X3,X18)
        | ~ epred1_1(X3) )
      & ( r1(X20,esk11_2(X3,X20))
        | r1(X20,esk10_2(X3,X20))
        | ~ r1(X3,X20)
        | ~ epred1_1(X3) )
      & ( ~ p205(esk11_2(X3,X20))
        | r1(X20,esk10_2(X3,X20))
        | ~ r1(X3,X20)
        | ~ epred1_1(X3) )
      & ( r1(X20,esk11_2(X3,X20))
        | ~ p405(esk10_2(X3,X20))
        | ~ r1(X3,X20)
        | ~ epred1_1(X3) )
      & ( ~ p205(esk11_2(X3,X20))
        | ~ p405(esk10_2(X3,X20))
        | ~ r1(X3,X20)
        | ~ epred1_1(X3) )
      & ( r1(X23,esk13_2(X3,X23))
        | r1(X23,esk12_2(X3,X23))
        | ~ r1(X3,X23)
        | ~ epred1_1(X3) )
      & ( ~ p205(esk13_2(X3,X23))
        | r1(X23,esk12_2(X3,X23))
        | ~ r1(X3,X23)
        | ~ epred1_1(X3) )
      & ( r1(X23,esk13_2(X3,X23))
        | ~ p305(esk12_2(X3,X23))
        | ~ r1(X3,X23)
        | ~ epred1_1(X3) )
      & ( ~ p205(esk13_2(X3,X23))
        | ~ p305(esk12_2(X3,X23))
        | ~ r1(X3,X23)
        | ~ epred1_1(X3) )
      & ( r1(X26,esk14_2(X3,X26))
        | ~ p605(X26)
        | ~ r1(X3,X26)
        | ~ epred1_1(X3) )
      & ( ~ p105(esk14_2(X3,X26))
        | ~ p605(X26)
        | ~ r1(X3,X26)
        | ~ epred1_1(X3) )
      & ( r1(X28,esk15_2(X3,X28))
        | ~ p505(X28)
        | ~ r1(X3,X28)
        | ~ epred1_1(X3) )
      & ( ~ p105(esk15_2(X3,X28))
        | ~ p505(X28)
        | ~ r1(X3,X28)
        | ~ epred1_1(X3) )
      & ( r1(X30,esk17_2(X3,X30))
        | r1(X30,esk16_2(X3,X30))
        | ~ r1(X3,X30)
        | ~ epred1_1(X3) )
      & ( ~ p105(esk17_2(X3,X30))
        | r1(X30,esk16_2(X3,X30))
        | ~ r1(X3,X30)
        | ~ epred1_1(X3) )
      & ( r1(X30,esk17_2(X3,X30))
        | ~ p405(esk16_2(X3,X30))
        | ~ r1(X3,X30)
        | ~ epred1_1(X3) )
      & ( ~ p105(esk17_2(X3,X30))
        | ~ p405(esk16_2(X3,X30))
        | ~ r1(X3,X30)
        | ~ epred1_1(X3) )
      & ( r1(X33,esk19_2(X3,X33))
        | r1(X33,esk18_2(X3,X33))
        | ~ r1(X3,X33)
        | ~ epred1_1(X3) )
      & ( ~ p105(esk19_2(X3,X33))
        | r1(X33,esk18_2(X3,X33))
        | ~ r1(X3,X33)
        | ~ epred1_1(X3) )
      & ( r1(X33,esk19_2(X3,X33))
        | ~ p305(esk18_2(X3,X33))
        | ~ r1(X3,X33)
        | ~ epred1_1(X3) )
      & ( ~ p105(esk19_2(X3,X33))
        | ~ p305(esk18_2(X3,X33))
        | ~ r1(X3,X33)
        | ~ epred1_1(X3) )
      & ( r1(X36,esk21_2(X3,X36))
        | r1(X36,esk20_2(X3,X36))
        | ~ r1(X3,X36)
        | ~ epred1_1(X3) )
      & ( ~ p105(esk21_2(X3,X36))
        | r1(X36,esk20_2(X3,X36))
        | ~ r1(X3,X36)
        | ~ epred1_1(X3) )
      & ( r1(X36,esk21_2(X3,X36))
        | ~ p205(esk20_2(X3,X36))
        | ~ r1(X3,X36)
        | ~ epred1_1(X3) )
      & ( ~ p105(esk21_2(X3,X36))
        | ~ p205(esk20_2(X3,X36))
        | ~ r1(X3,X36)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X39)
        | ~ p604(X39)
        | ~ p504(X39)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X40)
        | ~ p604(X40)
        | ~ p404(X40)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X41)
        | ~ p504(X41)
        | ~ p404(X41)
        | ~ epred1_1(X3) )
      & ( r1(X42,esk22_2(X3,X42))
        | ~ p604(X42)
        | ~ r1(X3,X42)
        | ~ epred1_1(X3) )
      & ( ~ p304(esk22_2(X3,X42))
        | ~ p604(X42)
        | ~ r1(X3,X42)
        | ~ epred1_1(X3) )
      & ( r1(X44,esk23_2(X3,X44))
        | ~ p504(X44)
        | ~ r1(X3,X44)
        | ~ epred1_1(X3) )
      & ( ~ p304(esk23_2(X3,X44))
        | ~ p504(X44)
        | ~ r1(X3,X44)
        | ~ epred1_1(X3) )
      & ( r1(X46,esk24_2(X3,X46))
        | ~ p404(X46)
        | ~ r1(X3,X46)
        | ~ epred1_1(X3) )
      & ( ~ p304(esk24_2(X3,X46))
        | ~ p404(X46)
        | ~ r1(X3,X46)
        | ~ epred1_1(X3) )
      & ( r1(X48,esk25_2(X3,X48))
        | ~ p604(X48)
        | ~ r1(X3,X48)
        | ~ epred1_1(X3) )
      & ( ~ p204(esk25_2(X3,X48))
        | ~ p604(X48)
        | ~ r1(X3,X48)
        | ~ epred1_1(X3) )
      & ( r1(X50,esk26_2(X3,X50))
        | ~ p504(X50)
        | ~ r1(X3,X50)
        | ~ epred1_1(X3) )
      & ( ~ p204(esk26_2(X3,X50))
        | ~ p504(X50)
        | ~ r1(X3,X50)
        | ~ epred1_1(X3) )
      & ( r1(X52,esk27_2(X3,X52))
        | ~ p404(X52)
        | ~ r1(X3,X52)
        | ~ epred1_1(X3) )
      & ( ~ p204(esk27_2(X3,X52))
        | ~ p404(X52)
        | ~ r1(X3,X52)
        | ~ epred1_1(X3) )
      & ( r1(X54,esk29_2(X3,X54))
        | r1(X54,esk28_2(X3,X54))
        | ~ r1(X3,X54)
        | ~ epred1_1(X3) )
      & ( ~ p204(esk29_2(X3,X54))
        | r1(X54,esk28_2(X3,X54))
        | ~ r1(X3,X54)
        | ~ epred1_1(X3) )
      & ( r1(X54,esk29_2(X3,X54))
        | ~ p304(esk28_2(X3,X54))
        | ~ r1(X3,X54)
        | ~ epred1_1(X3) )
      & ( ~ p204(esk29_2(X3,X54))
        | ~ p304(esk28_2(X3,X54))
        | ~ r1(X3,X54)
        | ~ epred1_1(X3) )
      & ( r1(X57,esk30_2(X3,X57))
        | ~ p604(X57)
        | ~ r1(X3,X57)
        | ~ epred1_1(X3) )
      & ( ~ p104(esk30_2(X3,X57))
        | ~ p604(X57)
        | ~ r1(X3,X57)
        | ~ epred1_1(X3) )
      & ( r1(X59,esk31_2(X3,X59))
        | ~ p504(X59)
        | ~ r1(X3,X59)
        | ~ epred1_1(X3) )
      & ( ~ p104(esk31_2(X3,X59))
        | ~ p504(X59)
        | ~ r1(X3,X59)
        | ~ epred1_1(X3) )
      & ( r1(X61,esk32_2(X3,X61))
        | ~ p404(X61)
        | ~ r1(X3,X61)
        | ~ epred1_1(X3) )
      & ( ~ p104(esk32_2(X3,X61))
        | ~ p404(X61)
        | ~ r1(X3,X61)
        | ~ epred1_1(X3) )
      & ( r1(X63,esk34_2(X3,X63))
        | r1(X63,esk33_2(X3,X63))
        | ~ r1(X3,X63)
        | ~ epred1_1(X3) )
      & ( ~ p104(esk34_2(X3,X63))
        | r1(X63,esk33_2(X3,X63))
        | ~ r1(X3,X63)
        | ~ epred1_1(X3) )
      & ( r1(X63,esk34_2(X3,X63))
        | ~ p304(esk33_2(X3,X63))
        | ~ r1(X3,X63)
        | ~ epred1_1(X3) )
      & ( ~ p104(esk34_2(X3,X63))
        | ~ p304(esk33_2(X3,X63))
        | ~ r1(X3,X63)
        | ~ epred1_1(X3) )
      & ( r1(X66,esk36_2(X3,X66))
        | r1(X66,esk35_2(X3,X66))
        | ~ r1(X3,X66)
        | ~ epred1_1(X3) )
      & ( ~ p104(esk36_2(X3,X66))
        | r1(X66,esk35_2(X3,X66))
        | ~ r1(X3,X66)
        | ~ epred1_1(X3) )
      & ( r1(X66,esk36_2(X3,X66))
        | ~ p204(esk35_2(X3,X66))
        | ~ r1(X3,X66)
        | ~ epred1_1(X3) )
      & ( ~ p104(esk36_2(X3,X66))
        | ~ p204(esk35_2(X3,X66))
        | ~ r1(X3,X66)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X69)
        | ~ p603(X69)
        | ~ p503(X69)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X70)
        | ~ p603(X70)
        | ~ p403(X70)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X71)
        | ~ p503(X71)
        | ~ p403(X71)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X72)
        | ~ p603(X72)
        | ~ p303(X72)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X73)
        | ~ p503(X73)
        | ~ p303(X73)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X74)
        | ~ p403(X74)
        | ~ p303(X74)
        | ~ epred1_1(X3) )
      & ( r1(X75,esk37_2(X3,X75))
        | ~ p603(X75)
        | ~ r1(X3,X75)
        | ~ epred1_1(X3) )
      & ( ~ p203(esk37_2(X3,X75))
        | ~ p603(X75)
        | ~ r1(X3,X75)
        | ~ epred1_1(X3) )
      & ( r1(X77,esk38_2(X3,X77))
        | ~ p503(X77)
        | ~ r1(X3,X77)
        | ~ epred1_1(X3) )
      & ( ~ p203(esk38_2(X3,X77))
        | ~ p503(X77)
        | ~ r1(X3,X77)
        | ~ epred1_1(X3) )
      & ( r1(X79,esk39_2(X3,X79))
        | ~ p403(X79)
        | ~ r1(X3,X79)
        | ~ epred1_1(X3) )
      & ( ~ p203(esk39_2(X3,X79))
        | ~ p403(X79)
        | ~ r1(X3,X79)
        | ~ epred1_1(X3) )
      & ( r1(X81,esk40_2(X3,X81))
        | ~ p303(X81)
        | ~ r1(X3,X81)
        | ~ epred1_1(X3) )
      & ( ~ p203(esk40_2(X3,X81))
        | ~ p303(X81)
        | ~ r1(X3,X81)
        | ~ epred1_1(X3) )
      & ( r1(X83,esk41_2(X3,X83))
        | ~ p603(X83)
        | ~ r1(X3,X83)
        | ~ epred1_1(X3) )
      & ( ~ p103(esk41_2(X3,X83))
        | ~ p603(X83)
        | ~ r1(X3,X83)
        | ~ epred1_1(X3) )
      & ( r1(X85,esk42_2(X3,X85))
        | ~ p503(X85)
        | ~ r1(X3,X85)
        | ~ epred1_1(X3) )
      & ( ~ p103(esk42_2(X3,X85))
        | ~ p503(X85)
        | ~ r1(X3,X85)
        | ~ epred1_1(X3) )
      & ( r1(X87,esk43_2(X3,X87))
        | ~ p403(X87)
        | ~ r1(X3,X87)
        | ~ epred1_1(X3) )
      & ( ~ p103(esk43_2(X3,X87))
        | ~ p403(X87)
        | ~ r1(X3,X87)
        | ~ epred1_1(X3) )
      & ( r1(X89,esk44_2(X3,X89))
        | ~ p303(X89)
        | ~ r1(X3,X89)
        | ~ epred1_1(X3) )
      & ( ~ p103(esk44_2(X3,X89))
        | ~ p303(X89)
        | ~ r1(X3,X89)
        | ~ epred1_1(X3) )
      & ( r1(X91,esk46_2(X3,X91))
        | r1(X91,esk45_2(X3,X91))
        | ~ r1(X3,X91)
        | ~ epred1_1(X3) )
      & ( ~ p103(esk46_2(X3,X91))
        | r1(X91,esk45_2(X3,X91))
        | ~ r1(X3,X91)
        | ~ epred1_1(X3) )
      & ( r1(X91,esk46_2(X3,X91))
        | ~ p203(esk45_2(X3,X91))
        | ~ r1(X3,X91)
        | ~ epred1_1(X3) )
      & ( ~ p103(esk46_2(X3,X91))
        | ~ p203(esk45_2(X3,X91))
        | ~ r1(X3,X91)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X94)
        | ~ p602(X94)
        | ~ p502(X94)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X95)
        | ~ p602(X95)
        | ~ p402(X95)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X96)
        | ~ p502(X96)
        | ~ p402(X96)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X97)
        | ~ p602(X97)
        | ~ p302(X97)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X98)
        | ~ p502(X98)
        | ~ p302(X98)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X99)
        | ~ p402(X99)
        | ~ p302(X99)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X100)
        | ~ p602(X100)
        | ~ p202(X100)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X101)
        | ~ p502(X101)
        | ~ p202(X101)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X102)
        | ~ p402(X102)
        | ~ p202(X102)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X103)
        | ~ p302(X103)
        | ~ p202(X103)
        | ~ epred1_1(X3) )
      & ( r1(X104,esk47_2(X3,X104))
        | ~ p602(X104)
        | ~ r1(X3,X104)
        | ~ epred1_1(X3) )
      & ( ~ p102(esk47_2(X3,X104))
        | ~ p602(X104)
        | ~ r1(X3,X104)
        | ~ epred1_1(X3) )
      & ( r1(X106,esk48_2(X3,X106))
        | ~ p502(X106)
        | ~ r1(X3,X106)
        | ~ epred1_1(X3) )
      & ( ~ p102(esk48_2(X3,X106))
        | ~ p502(X106)
        | ~ r1(X3,X106)
        | ~ epred1_1(X3) )
      & ( r1(X108,esk49_2(X3,X108))
        | ~ p402(X108)
        | ~ r1(X3,X108)
        | ~ epred1_1(X3) )
      & ( ~ p102(esk49_2(X3,X108))
        | ~ p402(X108)
        | ~ r1(X3,X108)
        | ~ epred1_1(X3) )
      & ( r1(X110,esk50_2(X3,X110))
        | ~ p302(X110)
        | ~ r1(X3,X110)
        | ~ epred1_1(X3) )
      & ( ~ p102(esk50_2(X3,X110))
        | ~ p302(X110)
        | ~ r1(X3,X110)
        | ~ epred1_1(X3) )
      & ( r1(X112,esk51_2(X3,X112))
        | ~ p202(X112)
        | ~ r1(X3,X112)
        | ~ epred1_1(X3) )
      & ( ~ p102(esk51_2(X3,X112))
        | ~ p202(X112)
        | ~ r1(X3,X112)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X114)
        | ~ p601(X114)
        | ~ p501(X114)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X115)
        | ~ p601(X115)
        | ~ p401(X115)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X116)
        | ~ p501(X116)
        | ~ p401(X116)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X117)
        | ~ p601(X117)
        | ~ p301(X117)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X118)
        | ~ p501(X118)
        | ~ p301(X118)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X119)
        | ~ p401(X119)
        | ~ p301(X119)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X120)
        | ~ p601(X120)
        | ~ p201(X120)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X121)
        | ~ p501(X121)
        | ~ p201(X121)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X122)
        | ~ p401(X122)
        | ~ p201(X122)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X123)
        | ~ p301(X123)
        | ~ p201(X123)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X124)
        | ~ p601(X124)
        | ~ p101(X124)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X125)
        | ~ p501(X125)
        | ~ p101(X125)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X126)
        | ~ p401(X126)
        | ~ p101(X126)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X127)
        | ~ p301(X127)
        | ~ p101(X127)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X128)
        | ~ p201(X128)
        | ~ p101(X128)
        | ~ epred1_1(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

fof(c_0_5_006,negated_conjecture,
    ! [X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
      ( ( ~ r1(esk1_0,X4)
        | epred1_1(X4) )
      & ( p605(esk1_0)
        | p604(esk1_0)
        | p603(esk1_0)
        | p602(esk1_0)
        | p601(esk1_0) )
      & ( p505(esk1_0)
        | p504(esk1_0)
        | p503(esk1_0)
        | p502(esk1_0)
        | p501(esk1_0) )
      & ( ~ r1(esk1_0,X5)
        | p405(X5)
        | p404(esk1_0)
        | p403(esk1_0)
        | p402(esk1_0)
        | p401(esk1_0) )
      & ( ~ r1(esk1_0,X6)
        | p305(X6)
        | ~ r1(esk1_0,X7)
        | p304(X7)
        | p303(esk1_0)
        | p302(esk1_0)
        | p301(esk1_0) )
      & ( ~ r1(esk1_0,X8)
        | p205(X8)
        | ~ r1(esk1_0,X9)
        | p204(X9)
        | ~ r1(esk1_0,X10)
        | p203(X10)
        | p202(esk1_0)
        | p201(esk1_0) )
      & ( ~ r1(esk1_0,X11)
        | p105(X11)
        | ~ r1(esk1_0,X12)
        | p104(X12)
        | ~ r1(esk1_0,X13)
        | p103(X13)
        | ~ r1(esk1_0,X14)
        | p102(X14)
        | p101(esk1_0) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).

cnf(c_0_6_007,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p405(esk6_2(X1,X2))
    | ~ p305(esk7_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7_008,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p405(esk10_2(X1,X2))
    | ~ p205(esk11_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8_009,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p305(esk12_2(X1,X2))
    | ~ p205(esk13_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9_010,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p405(esk16_2(X1,X2))
    | ~ p105(esk17_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p305(esk18_2(X1,X2))
    | ~ p105(esk19_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_11,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p205(esk20_2(X1,X2))
    | ~ p105(esk21_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_12,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p304(esk28_2(X1,X2))
    | ~ p204(esk29_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_13,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p304(esk33_2(X1,X2))
    | ~ p104(esk34_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_14,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p204(esk35_2(X1,X2))
    | ~ p104(esk36_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_15,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p203(esk45_2(X1,X2))
    | ~ p103(esk46_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_16,plain,
    ( r1(X2,esk6_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p305(esk7_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_17,plain,
    ( r1(X2,esk7_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p405(esk6_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_18,plain,
    ( r1(X2,esk10_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p205(esk11_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_19,plain,
    ( r1(X2,esk11_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p405(esk10_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_20,plain,
    ( r1(X2,esk12_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p205(esk13_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_21,plain,
    ( r1(X2,esk13_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p305(esk12_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_22,plain,
    ( r1(X2,esk16_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p105(esk17_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_23,plain,
    ( r1(X2,esk17_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p405(esk16_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_24,plain,
    ( r1(X2,esk18_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p105(esk19_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_25,plain,
    ( r1(X2,esk19_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p305(esk18_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_26,plain,
    ( r1(X2,esk20_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p105(esk21_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_27,plain,
    ( r1(X2,esk21_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p205(esk20_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_28,plain,
    ( r1(X2,esk28_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p204(esk29_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_29,plain,
    ( r1(X2,esk29_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p304(esk28_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_30,plain,
    ( r1(X2,esk33_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p104(esk34_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_31,plain,
    ( r1(X2,esk34_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p304(esk33_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_32,plain,
    ( r1(X2,esk35_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p104(esk36_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_33,plain,
    ( r1(X2,esk36_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p204(esk35_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_34,plain,
    ( r1(X2,esk45_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p103(esk46_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_35,plain,
    ( r1(X2,esk46_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p203(esk45_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_36,plain,
    ( r1(X2,esk6_2(X1,X2))
    | r1(X2,esk7_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_37,plain,
    ( r1(X2,esk10_2(X1,X2))
    | r1(X2,esk11_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_38,plain,
    ( r1(X2,esk12_2(X1,X2))
    | r1(X2,esk13_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_39,plain,
    ( r1(X2,esk16_2(X1,X2))
    | r1(X2,esk17_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_40,plain,
    ( r1(X2,esk18_2(X1,X2))
    | r1(X2,esk19_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_41,plain,
    ( r1(X2,esk20_2(X1,X2))
    | r1(X2,esk21_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_42,plain,
    ( r1(X2,esk28_2(X1,X2))
    | r1(X2,esk29_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_43,plain,
    ( r1(X2,esk33_2(X1,X2))
    | r1(X2,esk34_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_44,plain,
    ( r1(X2,esk35_2(X1,X2))
    | r1(X2,esk36_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_45,plain,
    ( r1(X2,esk45_2(X1,X2))
    | r1(X2,esk46_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_46,negated_conjecture,
    ( p101(esk1_0)
    | p102(X1)
    | p103(X2)
    | p104(X3)
    | p105(X4)
    | ~ r1(esk1_0,X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(esk1_0,X3)
    | ~ r1(esk1_0,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_47,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p605(X2)
    | ~ p405(esk2_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_48,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p505(X2)
    | ~ p405(esk3_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_49,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p605(X2)
    | ~ p305(esk4_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_50,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p505(X2)
    | ~ p305(esk5_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_51,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p605(X2)
    | ~ p205(esk8_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_52,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p505(X2)
    | ~ p205(esk9_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_53,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p605(X2)
    | ~ p105(esk14_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_54,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p505(X2)
    | ~ p105(esk15_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_55,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p604(X2)
    | ~ p304(esk22_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_56,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p504(X2)
    | ~ p304(esk23_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_57,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p404(X2)
    | ~ p304(esk24_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_58,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p604(X2)
    | ~ p204(esk25_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_59,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p504(X2)
    | ~ p204(esk26_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_60,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p404(X2)
    | ~ p204(esk27_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_61,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p604(X2)
    | ~ p104(esk30_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_62,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p504(X2)
    | ~ p104(esk31_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_63,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p404(X2)
    | ~ p104(esk32_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_64,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p603(X2)
    | ~ p203(esk37_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_65,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p503(X2)
    | ~ p203(esk38_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_66,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p403(X2)
    | ~ p203(esk39_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_67,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p303(X2)
    | ~ p203(esk40_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_68,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p603(X2)
    | ~ p103(esk41_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_69,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p503(X2)
    | ~ p103(esk42_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_70,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p403(X2)
    | ~ p103(esk43_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_71,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p303(X2)
    | ~ p103(esk44_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_72,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p602(X2)
    | ~ p102(esk47_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_73,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p502(X2)
    | ~ p102(esk48_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_74,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p402(X2)
    | ~ p102(esk49_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_75,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p302(X2)
    | ~ p102(esk50_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_76,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p202(X2)
    | ~ p102(esk51_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_77,negated_conjecture,
    ( p201(esk1_0)
    | p202(esk1_0)
    | p203(X1)
    | p204(X2)
    | p205(X3)
    | ~ r1(esk1_0,X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(esk1_0,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_78,plain,
    ( r1(X2,esk2_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p605(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_79,plain,
    ( r1(X2,esk3_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p505(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_80,plain,
    ( r1(X2,esk4_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p605(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_81,plain,
    ( r1(X2,esk5_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p505(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_82,plain,
    ( r1(X2,esk8_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p605(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_83,plain,
    ( r1(X2,esk9_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p505(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_84,plain,
    ( r1(X2,esk14_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p605(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_85,plain,
    ( r1(X2,esk15_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p505(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_86,plain,
    ( r1(X2,esk22_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p604(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_87,plain,
    ( r1(X2,esk23_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p504(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_88,plain,
    ( r1(X2,esk24_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p404(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_89,plain,
    ( r1(X2,esk25_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p604(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_90,plain,
    ( r1(X2,esk26_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p504(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_91,plain,
    ( r1(X2,esk27_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p404(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_92,plain,
    ( r1(X2,esk30_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p604(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_93,plain,
    ( r1(X2,esk31_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p504(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_94,plain,
    ( r1(X2,esk32_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p404(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_95,plain,
    ( r1(X2,esk37_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p603(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_96,plain,
    ( r1(X2,esk38_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p503(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_97,plain,
    ( r1(X2,esk39_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p403(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_98,plain,
    ( r1(X2,esk40_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p303(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_99,plain,
    ( r1(X2,esk41_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p603(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_100,plain,
    ( r1(X2,esk42_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p503(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_101,plain,
    ( r1(X2,esk43_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p403(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_102,plain,
    ( r1(X2,esk44_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p303(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_103,plain,
    ( r1(X2,esk47_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p602(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_104,plain,
    ( r1(X2,esk48_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p502(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_105,plain,
    ( r1(X2,esk49_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p402(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_106,plain,
    ( r1(X2,esk50_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p302(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_107,plain,
    ( r1(X2,esk51_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p202(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_108,negated_conjecture,
    ( p301(esk1_0)
    | p302(esk1_0)
    | p303(esk1_0)
    | p304(X1)
    | p305(X2)
    | ~ r1(esk1_0,X1)
    | ~ r1(esk1_0,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_109,plain,
    ( ~ epred1_1(X1)
    | ~ p505(X2)
    | ~ p605(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_110,plain,
    ( ~ epred1_1(X1)
    | ~ p504(X2)
    | ~ p604(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_111,plain,
    ( ~ epred1_1(X1)
    | ~ p404(X2)
    | ~ p604(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_112,plain,
    ( ~ epred1_1(X1)
    | ~ p404(X2)
    | ~ p504(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_113,plain,
    ( ~ epred1_1(X1)
    | ~ p503(X2)
    | ~ p603(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_114,plain,
    ( ~ epred1_1(X1)
    | ~ p403(X2)
    | ~ p603(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_115,plain,
    ( ~ epred1_1(X1)
    | ~ p403(X2)
    | ~ p503(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_116,plain,
    ( ~ epred1_1(X1)
    | ~ p303(X2)
    | ~ p603(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_117,plain,
    ( ~ epred1_1(X1)
    | ~ p303(X2)
    | ~ p503(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_118,plain,
    ( ~ epred1_1(X1)
    | ~ p303(X2)
    | ~ p403(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_119,plain,
    ( ~ epred1_1(X1)
    | ~ p502(X2)
    | ~ p602(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_120,plain,
    ( ~ epred1_1(X1)
    | ~ p402(X2)
    | ~ p602(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_121,plain,
    ( ~ epred1_1(X1)
    | ~ p402(X2)
    | ~ p502(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_122,plain,
    ( ~ epred1_1(X1)
    | ~ p302(X2)
    | ~ p602(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_123,plain,
    ( ~ epred1_1(X1)
    | ~ p302(X2)
    | ~ p502(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_124,plain,
    ( ~ epred1_1(X1)
    | ~ p302(X2)
    | ~ p402(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_125,plain,
    ( ~ epred1_1(X1)
    | ~ p202(X2)
    | ~ p602(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_126,plain,
    ( ~ epred1_1(X1)
    | ~ p202(X2)
    | ~ p502(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_127,plain,
    ( ~ epred1_1(X1)
    | ~ p202(X2)
    | ~ p402(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_128,plain,
    ( ~ epred1_1(X1)
    | ~ p202(X2)
    | ~ p302(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_129,plain,
    ( ~ epred1_1(X1)
    | ~ p501(X2)
    | ~ p601(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_130,plain,
    ( ~ epred1_1(X1)
    | ~ p401(X2)
    | ~ p601(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_131,plain,
    ( ~ epred1_1(X1)
    | ~ p401(X2)
    | ~ p501(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_132,plain,
    ( ~ epred1_1(X1)
    | ~ p301(X2)
    | ~ p601(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_133,plain,
    ( ~ epred1_1(X1)
    | ~ p301(X2)
    | ~ p501(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_134,plain,
    ( ~ epred1_1(X1)
    | ~ p301(X2)
    | ~ p401(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_135,plain,
    ( ~ epred1_1(X1)
    | ~ p201(X2)
    | ~ p601(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_136,plain,
    ( ~ epred1_1(X1)
    | ~ p201(X2)
    | ~ p501(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_137,plain,
    ( ~ epred1_1(X1)
    | ~ p201(X2)
    | ~ p401(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_138,plain,
    ( ~ epred1_1(X1)
    | ~ p201(X2)
    | ~ p301(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_139,plain,
    ( ~ epred1_1(X1)
    | ~ p101(X2)
    | ~ p601(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_140,plain,
    ( ~ epred1_1(X1)
    | ~ p101(X2)
    | ~ p501(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_141,plain,
    ( ~ epred1_1(X1)
    | ~ p101(X2)
    | ~ p401(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_142,plain,
    ( ~ epred1_1(X1)
    | ~ p101(X2)
    | ~ p301(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_143,plain,
    ( ~ epred1_1(X1)
    | ~ p101(X2)
    | ~ p201(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_144,negated_conjecture,
    ( p401(esk1_0)
    | p402(esk1_0)
    | p403(esk1_0)
    | p404(esk1_0)
    | p405(X1)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_145,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_146,negated_conjecture,
    ( p601(esk1_0)
    | p602(esk1_0)
    | p603(esk1_0)
    | p604(esk1_0)
    | p605(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_147,negated_conjecture,
    ( p501(esk1_0)
    | p502(esk1_0)
    | p503(esk1_0)
    | p504(esk1_0)
    | p505(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_148,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p405(esk6_2(X1,X2))
    | ~ p305(esk7_2(X1,X2)) ),
    c_0_6,
    [final] ).

cnf(c_0_149,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p405(esk10_2(X1,X2))
    | ~ p205(esk11_2(X1,X2)) ),
    c_0_7,
    [final] ).

cnf(c_0_150,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p305(esk12_2(X1,X2))
    | ~ p205(esk13_2(X1,X2)) ),
    c_0_8,
    [final] ).

cnf(c_0_151,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p405(esk16_2(X1,X2))
    | ~ p105(esk17_2(X1,X2)) ),
    c_0_9,
    [final] ).

cnf(c_0_152,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p305(esk18_2(X1,X2))
    | ~ p105(esk19_2(X1,X2)) ),
    c_0_10,
    [final] ).

cnf(c_0_153,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p205(esk20_2(X1,X2))
    | ~ p105(esk21_2(X1,X2)) ),
    c_0_11,
    [final] ).

cnf(c_0_154,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p304(esk28_2(X1,X2))
    | ~ p204(esk29_2(X1,X2)) ),
    c_0_12,
    [final] ).

cnf(c_0_155,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p304(esk33_2(X1,X2))
    | ~ p104(esk34_2(X1,X2)) ),
    c_0_13,
    [final] ).

cnf(c_0_156,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p204(esk35_2(X1,X2))
    | ~ p104(esk36_2(X1,X2)) ),
    c_0_14,
    [final] ).

cnf(c_0_157,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p203(esk45_2(X1,X2))
    | ~ p103(esk46_2(X1,X2)) ),
    c_0_15,
    [final] ).

cnf(c_0_158,plain,
    ( r1(X2,esk6_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p305(esk7_2(X1,X2)) ),
    c_0_16,
    [final] ).

cnf(c_0_159,plain,
    ( r1(X2,esk7_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p405(esk6_2(X1,X2)) ),
    c_0_17,
    [final] ).

cnf(c_0_160,plain,
    ( r1(X2,esk10_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p205(esk11_2(X1,X2)) ),
    c_0_18,
    [final] ).

cnf(c_0_161,plain,
    ( r1(X2,esk11_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p405(esk10_2(X1,X2)) ),
    c_0_19,
    [final] ).

cnf(c_0_162,plain,
    ( r1(X2,esk12_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p205(esk13_2(X1,X2)) ),
    c_0_20,
    [final] ).

cnf(c_0_163,plain,
    ( r1(X2,esk13_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p305(esk12_2(X1,X2)) ),
    c_0_21,
    [final] ).

cnf(c_0_164,plain,
    ( r1(X2,esk16_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p105(esk17_2(X1,X2)) ),
    c_0_22,
    [final] ).

cnf(c_0_165,plain,
    ( r1(X2,esk17_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p405(esk16_2(X1,X2)) ),
    c_0_23,
    [final] ).

cnf(c_0_166,plain,
    ( r1(X2,esk18_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p105(esk19_2(X1,X2)) ),
    c_0_24,
    [final] ).

cnf(c_0_167,plain,
    ( r1(X2,esk19_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p305(esk18_2(X1,X2)) ),
    c_0_25,
    [final] ).

cnf(c_0_168,plain,
    ( r1(X2,esk20_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p105(esk21_2(X1,X2)) ),
    c_0_26,
    [final] ).

cnf(c_0_169,plain,
    ( r1(X2,esk21_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p205(esk20_2(X1,X2)) ),
    c_0_27,
    [final] ).

cnf(c_0_170,plain,
    ( r1(X2,esk28_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p204(esk29_2(X1,X2)) ),
    c_0_28,
    [final] ).

cnf(c_0_171,plain,
    ( r1(X2,esk29_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p304(esk28_2(X1,X2)) ),
    c_0_29,
    [final] ).

cnf(c_0_172,plain,
    ( r1(X2,esk33_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p104(esk34_2(X1,X2)) ),
    c_0_30,
    [final] ).

cnf(c_0_173,plain,
    ( r1(X2,esk34_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p304(esk33_2(X1,X2)) ),
    c_0_31,
    [final] ).

cnf(c_0_174,plain,
    ( r1(X2,esk35_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p104(esk36_2(X1,X2)) ),
    c_0_32,
    [final] ).

cnf(c_0_175,plain,
    ( r1(X2,esk36_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p204(esk35_2(X1,X2)) ),
    c_0_33,
    [final] ).

cnf(c_0_176,plain,
    ( r1(X2,esk45_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p103(esk46_2(X1,X2)) ),
    c_0_34,
    [final] ).

cnf(c_0_177,plain,
    ( r1(X2,esk46_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p203(esk45_2(X1,X2)) ),
    c_0_35,
    [final] ).

cnf(c_0_178,plain,
    ( r1(X2,esk6_2(X1,X2))
    | r1(X2,esk7_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    c_0_36,
    [final] ).

cnf(c_0_179,plain,
    ( r1(X2,esk10_2(X1,X2))
    | r1(X2,esk11_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    c_0_37,
    [final] ).

cnf(c_0_180,plain,
    ( r1(X2,esk12_2(X1,X2))
    | r1(X2,esk13_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    c_0_38,
    [final] ).

cnf(c_0_181,plain,
    ( r1(X2,esk16_2(X1,X2))
    | r1(X2,esk17_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    c_0_39,
    [final] ).

cnf(c_0_182,plain,
    ( r1(X2,esk18_2(X1,X2))
    | r1(X2,esk19_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    c_0_40,
    [final] ).

cnf(c_0_183,plain,
    ( r1(X2,esk20_2(X1,X2))
    | r1(X2,esk21_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    c_0_41,
    [final] ).

cnf(c_0_184,plain,
    ( r1(X2,esk28_2(X1,X2))
    | r1(X2,esk29_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    c_0_42,
    [final] ).

cnf(c_0_185,plain,
    ( r1(X2,esk33_2(X1,X2))
    | r1(X2,esk34_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    c_0_43,
    [final] ).

cnf(c_0_186,plain,
    ( r1(X2,esk35_2(X1,X2))
    | r1(X2,esk36_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    c_0_44,
    [final] ).

cnf(c_0_187,plain,
    ( r1(X2,esk45_2(X1,X2))
    | r1(X2,esk46_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    c_0_45,
    [final] ).

cnf(c_0_188,negated_conjecture,
    ( p101(esk1_0)
    | p102(X1)
    | p103(X2)
    | p104(X3)
    | p105(X4)
    | ~ r1(esk1_0,X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(esk1_0,X3)
    | ~ r1(esk1_0,X4) ),
    c_0_46,
    [final] ).

cnf(c_0_189,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p605(X2)
    | ~ p405(esk2_2(X1,X2)) ),
    c_0_47,
    [final] ).

cnf(c_0_190,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p505(X2)
    | ~ p405(esk3_2(X1,X2)) ),
    c_0_48,
    [final] ).

cnf(c_0_191,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p605(X2)
    | ~ p305(esk4_2(X1,X2)) ),
    c_0_49,
    [final] ).

cnf(c_0_192,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p505(X2)
    | ~ p305(esk5_2(X1,X2)) ),
    c_0_50,
    [final] ).

cnf(c_0_193,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p605(X2)
    | ~ p205(esk8_2(X1,X2)) ),
    c_0_51,
    [final] ).

cnf(c_0_194,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p505(X2)
    | ~ p205(esk9_2(X1,X2)) ),
    c_0_52,
    [final] ).

cnf(c_0_195,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p605(X2)
    | ~ p105(esk14_2(X1,X2)) ),
    c_0_53,
    [final] ).

cnf(c_0_196,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p505(X2)
    | ~ p105(esk15_2(X1,X2)) ),
    c_0_54,
    [final] ).

cnf(c_0_197,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p604(X2)
    | ~ p304(esk22_2(X1,X2)) ),
    c_0_55,
    [final] ).

cnf(c_0_198,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p504(X2)
    | ~ p304(esk23_2(X1,X2)) ),
    c_0_56,
    [final] ).

cnf(c_0_199,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p404(X2)
    | ~ p304(esk24_2(X1,X2)) ),
    c_0_57,
    [final] ).

cnf(c_0_200,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p604(X2)
    | ~ p204(esk25_2(X1,X2)) ),
    c_0_58,
    [final] ).

cnf(c_0_201,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p504(X2)
    | ~ p204(esk26_2(X1,X2)) ),
    c_0_59,
    [final] ).

cnf(c_0_202,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p404(X2)
    | ~ p204(esk27_2(X1,X2)) ),
    c_0_60,
    [final] ).

cnf(c_0_203,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p604(X2)
    | ~ p104(esk30_2(X1,X2)) ),
    c_0_61,
    [final] ).

cnf(c_0_204,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p504(X2)
    | ~ p104(esk31_2(X1,X2)) ),
    c_0_62,
    [final] ).

cnf(c_0_205,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p404(X2)
    | ~ p104(esk32_2(X1,X2)) ),
    c_0_63,
    [final] ).

cnf(c_0_206,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p603(X2)
    | ~ p203(esk37_2(X1,X2)) ),
    c_0_64,
    [final] ).

cnf(c_0_207,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p503(X2)
    | ~ p203(esk38_2(X1,X2)) ),
    c_0_65,
    [final] ).

cnf(c_0_208,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p403(X2)
    | ~ p203(esk39_2(X1,X2)) ),
    c_0_66,
    [final] ).

cnf(c_0_209,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p303(X2)
    | ~ p203(esk40_2(X1,X2)) ),
    c_0_67,
    [final] ).

cnf(c_0_210,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p603(X2)
    | ~ p103(esk41_2(X1,X2)) ),
    c_0_68,
    [final] ).

cnf(c_0_211,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p503(X2)
    | ~ p103(esk42_2(X1,X2)) ),
    c_0_69,
    [final] ).

cnf(c_0_212,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p403(X2)
    | ~ p103(esk43_2(X1,X2)) ),
    c_0_70,
    [final] ).

cnf(c_0_213,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p303(X2)
    | ~ p103(esk44_2(X1,X2)) ),
    c_0_71,
    [final] ).

cnf(c_0_214,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p602(X2)
    | ~ p102(esk47_2(X1,X2)) ),
    c_0_72,
    [final] ).

cnf(c_0_215,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p502(X2)
    | ~ p102(esk48_2(X1,X2)) ),
    c_0_73,
    [final] ).

cnf(c_0_216,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p402(X2)
    | ~ p102(esk49_2(X1,X2)) ),
    c_0_74,
    [final] ).

cnf(c_0_217,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p302(X2)
    | ~ p102(esk50_2(X1,X2)) ),
    c_0_75,
    [final] ).

cnf(c_0_218,plain,
    ( ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p202(X2)
    | ~ p102(esk51_2(X1,X2)) ),
    c_0_76,
    [final] ).

cnf(c_0_219,negated_conjecture,
    ( p201(esk1_0)
    | p202(esk1_0)
    | p203(X1)
    | p204(X2)
    | p205(X3)
    | ~ r1(esk1_0,X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(esk1_0,X3) ),
    c_0_77,
    [final] ).

cnf(c_0_220,plain,
    ( r1(X2,esk2_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p605(X2) ),
    c_0_78,
    [final] ).

cnf(c_0_221,plain,
    ( r1(X2,esk3_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p505(X2) ),
    c_0_79,
    [final] ).

cnf(c_0_222,plain,
    ( r1(X2,esk4_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p605(X2) ),
    c_0_80,
    [final] ).

cnf(c_0_223,plain,
    ( r1(X2,esk5_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p505(X2) ),
    c_0_81,
    [final] ).

cnf(c_0_224,plain,
    ( r1(X2,esk8_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p605(X2) ),
    c_0_82,
    [final] ).

cnf(c_0_225,plain,
    ( r1(X2,esk9_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p505(X2) ),
    c_0_83,
    [final] ).

cnf(c_0_226,plain,
    ( r1(X2,esk14_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p605(X2) ),
    c_0_84,
    [final] ).

cnf(c_0_227,plain,
    ( r1(X2,esk15_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p505(X2) ),
    c_0_85,
    [final] ).

cnf(c_0_228,plain,
    ( r1(X2,esk22_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p604(X2) ),
    c_0_86,
    [final] ).

cnf(c_0_229,plain,
    ( r1(X2,esk23_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p504(X2) ),
    c_0_87,
    [final] ).

cnf(c_0_230,plain,
    ( r1(X2,esk24_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p404(X2) ),
    c_0_88,
    [final] ).

cnf(c_0_231,plain,
    ( r1(X2,esk25_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p604(X2) ),
    c_0_89,
    [final] ).

cnf(c_0_232,plain,
    ( r1(X2,esk26_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p504(X2) ),
    c_0_90,
    [final] ).

cnf(c_0_233,plain,
    ( r1(X2,esk27_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p404(X2) ),
    c_0_91,
    [final] ).

cnf(c_0_234,plain,
    ( r1(X2,esk30_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p604(X2) ),
    c_0_92,
    [final] ).

cnf(c_0_235,plain,
    ( r1(X2,esk31_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p504(X2) ),
    c_0_93,
    [final] ).

cnf(c_0_236,plain,
    ( r1(X2,esk32_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p404(X2) ),
    c_0_94,
    [final] ).

cnf(c_0_237,plain,
    ( r1(X2,esk37_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p603(X2) ),
    c_0_95,
    [final] ).

cnf(c_0_238,plain,
    ( r1(X2,esk38_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p503(X2) ),
    c_0_96,
    [final] ).

cnf(c_0_239,plain,
    ( r1(X2,esk39_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p403(X2) ),
    c_0_97,
    [final] ).

cnf(c_0_240,plain,
    ( r1(X2,esk40_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p303(X2) ),
    c_0_98,
    [final] ).

cnf(c_0_241,plain,
    ( r1(X2,esk41_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p603(X2) ),
    c_0_99,
    [final] ).

cnf(c_0_242,plain,
    ( r1(X2,esk42_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p503(X2) ),
    c_0_100,
    [final] ).

cnf(c_0_243,plain,
    ( r1(X2,esk43_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p403(X2) ),
    c_0_101,
    [final] ).

cnf(c_0_244,plain,
    ( r1(X2,esk44_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p303(X2) ),
    c_0_102,
    [final] ).

cnf(c_0_245,plain,
    ( r1(X2,esk47_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p602(X2) ),
    c_0_103,
    [final] ).

cnf(c_0_246,plain,
    ( r1(X2,esk48_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p502(X2) ),
    c_0_104,
    [final] ).

cnf(c_0_247,plain,
    ( r1(X2,esk49_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p402(X2) ),
    c_0_105,
    [final] ).

cnf(c_0_248,plain,
    ( r1(X2,esk50_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p302(X2) ),
    c_0_106,
    [final] ).

cnf(c_0_249,plain,
    ( r1(X2,esk51_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p202(X2) ),
    c_0_107,
    [final] ).

cnf(c_0_250,negated_conjecture,
    ( p301(esk1_0)
    | p302(esk1_0)
    | p303(esk1_0)
    | p304(X1)
    | p305(X2)
    | ~ r1(esk1_0,X1)
    | ~ r1(esk1_0,X2) ),
    c_0_108,
    [final] ).

cnf(c_0_251,plain,
    ( ~ epred1_1(X1)
    | ~ p505(X2)
    | ~ p605(X2)
    | ~ r1(X1,X2) ),
    c_0_109,
    [final] ).

cnf(c_0_252,plain,
    ( ~ epred1_1(X1)
    | ~ p504(X2)
    | ~ p604(X2)
    | ~ r1(X1,X2) ),
    c_0_110,
    [final] ).

cnf(c_0_253,plain,
    ( ~ epred1_1(X1)
    | ~ p404(X2)
    | ~ p604(X2)
    | ~ r1(X1,X2) ),
    c_0_111,
    [final] ).

cnf(c_0_254,plain,
    ( ~ epred1_1(X1)
    | ~ p404(X2)
    | ~ p504(X2)
    | ~ r1(X1,X2) ),
    c_0_112,
    [final] ).

cnf(c_0_255,plain,
    ( ~ epred1_1(X1)
    | ~ p503(X2)
    | ~ p603(X2)
    | ~ r1(X1,X2) ),
    c_0_113,
    [final] ).

cnf(c_0_256,plain,
    ( ~ epred1_1(X1)
    | ~ p403(X2)
    | ~ p603(X2)
    | ~ r1(X1,X2) ),
    c_0_114,
    [final] ).

cnf(c_0_257,plain,
    ( ~ epred1_1(X1)
    | ~ p403(X2)
    | ~ p503(X2)
    | ~ r1(X1,X2) ),
    c_0_115,
    [final] ).

cnf(c_0_258,plain,
    ( ~ epred1_1(X1)
    | ~ p303(X2)
    | ~ p603(X2)
    | ~ r1(X1,X2) ),
    c_0_116,
    [final] ).

cnf(c_0_259,plain,
    ( ~ epred1_1(X1)
    | ~ p303(X2)
    | ~ p503(X2)
    | ~ r1(X1,X2) ),
    c_0_117,
    [final] ).

cnf(c_0_260,plain,
    ( ~ epred1_1(X1)
    | ~ p303(X2)
    | ~ p403(X2)
    | ~ r1(X1,X2) ),
    c_0_118,
    [final] ).

cnf(c_0_261,plain,
    ( ~ epred1_1(X1)
    | ~ p502(X2)
    | ~ p602(X2)
    | ~ r1(X1,X2) ),
    c_0_119,
    [final] ).

cnf(c_0_262,plain,
    ( ~ epred1_1(X1)
    | ~ p402(X2)
    | ~ p602(X2)
    | ~ r1(X1,X2) ),
    c_0_120,
    [final] ).

cnf(c_0_263,plain,
    ( ~ epred1_1(X1)
    | ~ p402(X2)
    | ~ p502(X2)
    | ~ r1(X1,X2) ),
    c_0_121,
    [final] ).

cnf(c_0_264,plain,
    ( ~ epred1_1(X1)
    | ~ p302(X2)
    | ~ p602(X2)
    | ~ r1(X1,X2) ),
    c_0_122,
    [final] ).

cnf(c_0_265,plain,
    ( ~ epred1_1(X1)
    | ~ p302(X2)
    | ~ p502(X2)
    | ~ r1(X1,X2) ),
    c_0_123,
    [final] ).

cnf(c_0_266,plain,
    ( ~ epred1_1(X1)
    | ~ p302(X2)
    | ~ p402(X2)
    | ~ r1(X1,X2) ),
    c_0_124,
    [final] ).

cnf(c_0_267,plain,
    ( ~ epred1_1(X1)
    | ~ p202(X2)
    | ~ p602(X2)
    | ~ r1(X1,X2) ),
    c_0_125,
    [final] ).

cnf(c_0_268,plain,
    ( ~ epred1_1(X1)
    | ~ p202(X2)
    | ~ p502(X2)
    | ~ r1(X1,X2) ),
    c_0_126,
    [final] ).

cnf(c_0_269,plain,
    ( ~ epred1_1(X1)
    | ~ p202(X2)
    | ~ p402(X2)
    | ~ r1(X1,X2) ),
    c_0_127,
    [final] ).

cnf(c_0_270,plain,
    ( ~ epred1_1(X1)
    | ~ p202(X2)
    | ~ p302(X2)
    | ~ r1(X1,X2) ),
    c_0_128,
    [final] ).

cnf(c_0_271,plain,
    ( ~ epred1_1(X1)
    | ~ p501(X2)
    | ~ p601(X2)
    | ~ r1(X1,X2) ),
    c_0_129,
    [final] ).

cnf(c_0_272,plain,
    ( ~ epred1_1(X1)
    | ~ p401(X2)
    | ~ p601(X2)
    | ~ r1(X1,X2) ),
    c_0_130,
    [final] ).

cnf(c_0_273,plain,
    ( ~ epred1_1(X1)
    | ~ p401(X2)
    | ~ p501(X2)
    | ~ r1(X1,X2) ),
    c_0_131,
    [final] ).

cnf(c_0_274,plain,
    ( ~ epred1_1(X1)
    | ~ p301(X2)
    | ~ p601(X2)
    | ~ r1(X1,X2) ),
    c_0_132,
    [final] ).

cnf(c_0_275,plain,
    ( ~ epred1_1(X1)
    | ~ p301(X2)
    | ~ p501(X2)
    | ~ r1(X1,X2) ),
    c_0_133,
    [final] ).

cnf(c_0_276,plain,
    ( ~ epred1_1(X1)
    | ~ p301(X2)
    | ~ p401(X2)
    | ~ r1(X1,X2) ),
    c_0_134,
    [final] ).

cnf(c_0_277,plain,
    ( ~ epred1_1(X1)
    | ~ p201(X2)
    | ~ p601(X2)
    | ~ r1(X1,X2) ),
    c_0_135,
    [final] ).

cnf(c_0_278,plain,
    ( ~ epred1_1(X1)
    | ~ p201(X2)
    | ~ p501(X2)
    | ~ r1(X1,X2) ),
    c_0_136,
    [final] ).

cnf(c_0_279,plain,
    ( ~ epred1_1(X1)
    | ~ p201(X2)
    | ~ p401(X2)
    | ~ r1(X1,X2) ),
    c_0_137,
    [final] ).

cnf(c_0_280,plain,
    ( ~ epred1_1(X1)
    | ~ p201(X2)
    | ~ p301(X2)
    | ~ r1(X1,X2) ),
    c_0_138,
    [final] ).

cnf(c_0_281,plain,
    ( ~ epred1_1(X1)
    | ~ p101(X2)
    | ~ p601(X2)
    | ~ r1(X1,X2) ),
    c_0_139,
    [final] ).

cnf(c_0_282,plain,
    ( ~ epred1_1(X1)
    | ~ p101(X2)
    | ~ p501(X2)
    | ~ r1(X1,X2) ),
    c_0_140,
    [final] ).

cnf(c_0_283,plain,
    ( ~ epred1_1(X1)
    | ~ p101(X2)
    | ~ p401(X2)
    | ~ r1(X1,X2) ),
    c_0_141,
    [final] ).

cnf(c_0_284,plain,
    ( ~ epred1_1(X1)
    | ~ p101(X2)
    | ~ p301(X2)
    | ~ r1(X1,X2) ),
    c_0_142,
    [final] ).

cnf(c_0_285,plain,
    ( ~ epred1_1(X1)
    | ~ p101(X2)
    | ~ p201(X2)
    | ~ r1(X1,X2) ),
    c_0_143,
    [final] ).

cnf(c_0_286,negated_conjecture,
    ( p401(esk1_0)
    | p402(esk1_0)
    | p403(esk1_0)
    | p404(esk1_0)
    | p405(X1)
    | ~ r1(esk1_0,X1) ),
    c_0_144,
    [final] ).

cnf(c_0_287,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X1) ),
    c_0_145,
    [final] ).

cnf(c_0_288,negated_conjecture,
    ( p601(esk1_0)
    | p602(esk1_0)
    | p603(esk1_0)
    | p604(esk1_0)
    | p605(esk1_0) ),
    c_0_146,
    [final] ).

cnf(c_0_289,negated_conjecture,
    ( p501(esk1_0)
    | p502(esk1_0)
    | p503(esk1_0)
    | p504(esk1_0)
    | p505(esk1_0) ),
    c_0_147,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_42,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(sk3_esk1_0,X1)
    | ~ r1(sk3_esk1_0,X2)
    | ~ r1(sk3_esk1_0,X3)
    | p105(X0)
    | p104(X1)
    | p103(X2)
    | p101(sk3_esk1_0)
    | p102(X3) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_188) ).

cnf(c_295,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p104(X0)
    | ~ sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_42]) ).

cnf(c_309,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p104(X0)
    | ~ sP7_iProver_split ),
    inference(copy,[status(esa)],[c_295]) ).

cnf(c_595,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p104(X0)
    | ~ sP7_iProver_split ),
    inference(copy,[status(esa)],[c_309]) ).

cnf(c_809,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p104(X0)
    | ~ sP7_iProver_split ),
    inference(copy,[status(esa)],[c_595]) ).

cnf(c_816,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p104(X0)
    | ~ sP7_iProver_split ),
    inference(copy,[status(esa)],[c_809]) ).

cnf(c_1303,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p104(X0)
    | ~ sP7_iProver_split ),
    inference(copy,[status(esa)],[c_816]) ).

cnf(c_1453,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p104(X0)
    | ~ sP7_iProver_split ),
    inference(copy,[status(esa)],[c_1303]) ).

cnf(c_116515,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk36_2(X0,X1))
    | p104(sk3_esk36_2(X0,X1))
    | ~ sP7_iProver_split ),
    inference(instantiation,[status(thm)],[c_1453]) ).

cnf(c_116516,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk36_2(sk3_esk1_0,sk3_esk1_0))
    | p104(sk3_esk36_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP7_iProver_split ),
    inference(instantiation,[status(thm)],[c_116515]) ).

cnf(c_116474,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk32_2(X0,X1))
    | p104(sk3_esk32_2(X0,X1))
    | ~ sP7_iProver_split ),
    inference(instantiation,[status(thm)],[c_1453]) ).

cnf(c_116475,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk32_2(sk3_esk1_0,sk3_esk1_0))
    | p104(sk3_esk32_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP7_iProver_split ),
    inference(instantiation,[status(thm)],[c_116474]) ).

cnf(c_73,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(sk3_esk1_0,X1)
    | ~ r1(sk3_esk1_0,X2)
    | p205(X0)
    | p204(X1)
    | p203(X2)
    | p202(sk3_esk1_0)
    | p201(sk3_esk1_0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_219) ).

cnf(c_290,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p204(X0)
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_73]) ).

cnf(c_304,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p204(X0)
    | ~ sP3_iProver_split ),
    inference(copy,[status(esa)],[c_290]) ).

cnf(c_603,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p204(X0)
    | ~ sP3_iProver_split ),
    inference(copy,[status(esa)],[c_304]) ).

cnf(c_804,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p204(X0)
    | ~ sP3_iProver_split ),
    inference(copy,[status(esa)],[c_603]) ).

cnf(c_821,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p204(X0)
    | ~ sP3_iProver_split ),
    inference(copy,[status(esa)],[c_804]) ).

cnf(c_1295,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p204(X0)
    | ~ sP3_iProver_split ),
    inference(copy,[status(esa)],[c_821]) ).

cnf(c_1445,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p204(X0)
    | ~ sP3_iProver_split ),
    inference(copy,[status(esa)],[c_1295]) ).

cnf(c_116472,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk27_2(X0,X1))
    | p204(sk3_esk27_2(X0,X1))
    | ~ sP3_iProver_split ),
    inference(instantiation,[status(thm)],[c_1445]) ).

cnf(c_116473,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk27_2(sk3_esk1_0,sk3_esk1_0))
    | p204(sk3_esk27_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP3_iProver_split ),
    inference(instantiation,[status(thm)],[c_116472]) ).

cnf(c_104,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(sk3_esk1_0,X1)
    | p305(X0)
    | p304(X1)
    | p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_250) ).

cnf(c_287,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p304(X0)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_104]) ).

cnf(c_301,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p304(X0)
    | ~ sP1_iProver_split ),
    inference(copy,[status(esa)],[c_287]) ).

cnf(c_611,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p304(X0)
    | ~ sP1_iProver_split ),
    inference(copy,[status(esa)],[c_301]) ).

cnf(c_801,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p304(X0)
    | ~ sP1_iProver_split ),
    inference(copy,[status(esa)],[c_611]) ).

cnf(c_824,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p304(X0)
    | ~ sP1_iProver_split ),
    inference(copy,[status(esa)],[c_801]) ).

cnf(c_1291,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p304(X0)
    | ~ sP1_iProver_split ),
    inference(copy,[status(esa)],[c_824]) ).

cnf(c_1441,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p304(X0)
    | ~ sP1_iProver_split ),
    inference(copy,[status(esa)],[c_1291]) ).

cnf(c_116470,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk24_2(X0,X1))
    | p304(sk3_esk24_2(X0,X1))
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_1441]) ).

cnf(c_116471,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk24_2(sk3_esk1_0,sk3_esk1_0))
    | p304(sk3_esk24_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_116470]) ).

cnf(c_294,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p103(X0)
    | ~ sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_42]) ).

cnf(c_308,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p103(X0)
    | ~ sP6_iProver_split ),
    inference(copy,[status(esa)],[c_294]) ).

cnf(c_593,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p103(X0)
    | ~ sP6_iProver_split ),
    inference(copy,[status(esa)],[c_308]) ).

cnf(c_808,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p103(X0)
    | ~ sP6_iProver_split ),
    inference(copy,[status(esa)],[c_593]) ).

cnf(c_817,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p103(X0)
    | ~ sP6_iProver_split ),
    inference(copy,[status(esa)],[c_808]) ).

cnf(c_1301,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p103(X0)
    | ~ sP6_iProver_split ),
    inference(copy,[status(esa)],[c_817]) ).

cnf(c_1451,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p103(X0)
    | ~ sP6_iProver_split ),
    inference(copy,[status(esa)],[c_1301]) ).

cnf(c_116434,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk46_2(X0,X1))
    | p103(sk3_esk46_2(X0,X1))
    | ~ sP6_iProver_split ),
    inference(instantiation,[status(thm)],[c_1451]) ).

cnf(c_116435,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk46_2(sk3_esk1_0,sk3_esk1_0))
    | p103(sk3_esk46_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP6_iProver_split ),
    inference(instantiation,[status(thm)],[c_116434]) ).

cnf(c_312,negated_conjecture,
    ( p101(sk3_esk1_0)
    | sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split
    | sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split,sP8_iProver_split,sP7_iProver_split,sP6_iProver_split,p101(sk3_esk1_0)])],[c_42]) ).

cnf(c_601,negated_conjecture,
    ( p101(sk3_esk1_0)
    | sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split
    | sP9_iProver_split ),
    inference(copy,[status(esa)],[c_312]) ).

cnf(c_812,negated_conjecture,
    ( p101(sk3_esk1_0)
    | sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split
    | sP9_iProver_split ),
    inference(copy,[status(esa)],[c_601]) ).

cnf(c_813,negated_conjecture,
    ( p101(sk3_esk1_0)
    | sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split
    | sP9_iProver_split ),
    inference(copy,[status(esa)],[c_812]) ).

cnf(c_297,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p105(X0)
    | ~ sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_42]) ).

cnf(c_311,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p105(X0)
    | ~ sP9_iProver_split ),
    inference(copy,[status(esa)],[c_297]) ).

cnf(c_599,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p105(X0)
    | ~ sP9_iProver_split ),
    inference(copy,[status(esa)],[c_311]) ).

cnf(c_811,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p105(X0)
    | ~ sP9_iProver_split ),
    inference(copy,[status(esa)],[c_599]) ).

cnf(c_814,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p105(X0)
    | ~ sP9_iProver_split ),
    inference(copy,[status(esa)],[c_811]) ).

cnf(c_965,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p105(X0)
    | p101(sk3_esk1_0)
    | sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(resolution,[status(thm)],[c_813,c_814]) ).

cnf(c_985,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p105(X0)
    | p101(sk3_esk1_0)
    | sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(copy,[status(esa)],[c_965]) ).

cnf(c_992,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p105(X0)
    | p101(sk3_esk1_0)
    | sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(copy,[status(esa)],[c_985]) ).

cnf(c_1317,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p105(X0)
    | p101(sk3_esk1_0)
    | sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(copy,[status(esa)],[c_992]) ).

cnf(c_1467,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p105(X0)
    | p101(sk3_esk1_0)
    | sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(copy,[status(esa)],[c_1317]) ).

cnf(c_116432,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk19_2(X0,X1))
    | p105(sk3_esk19_2(X0,X1))
    | p101(sk3_esk1_0)
    | sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_1467]) ).

cnf(c_116433,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk19_2(sk3_esk1_0,sk3_esk1_0))
    | p105(sk3_esk19_2(sk3_esk1_0,sk3_esk1_0))
    | p101(sk3_esk1_0)
    | sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_116432]) ).

cnf(c_307,negated_conjecture,
    ( p202(sk3_esk1_0)
    | p201(sk3_esk1_0)
    | sP3_iProver_split
    | sP4_iProver_split
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split,sP4_iProver_split,sP3_iProver_split,p202(sk3_esk1_0),p201(sk3_esk1_0)])],[c_73]) ).

cnf(c_609,negated_conjecture,
    ( p202(sk3_esk1_0)
    | p201(sk3_esk1_0)
    | sP3_iProver_split
    | sP4_iProver_split
    | sP5_iProver_split ),
    inference(copy,[status(esa)],[c_307]) ).

cnf(c_807,negated_conjecture,
    ( p202(sk3_esk1_0)
    | p201(sk3_esk1_0)
    | sP3_iProver_split
    | sP4_iProver_split
    | sP5_iProver_split ),
    inference(copy,[status(esa)],[c_609]) ).

cnf(c_818,negated_conjecture,
    ( p202(sk3_esk1_0)
    | p201(sk3_esk1_0)
    | sP3_iProver_split
    | sP4_iProver_split
    | sP5_iProver_split ),
    inference(copy,[status(esa)],[c_807]) ).

cnf(c_292,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p205(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_73]) ).

cnf(c_306,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p205(X0)
    | ~ sP5_iProver_split ),
    inference(copy,[status(esa)],[c_292]) ).

cnf(c_607,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p205(X0)
    | ~ sP5_iProver_split ),
    inference(copy,[status(esa)],[c_306]) ).

cnf(c_806,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p205(X0)
    | ~ sP5_iProver_split ),
    inference(copy,[status(esa)],[c_607]) ).

cnf(c_819,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p205(X0)
    | ~ sP5_iProver_split ),
    inference(copy,[status(esa)],[c_806]) ).

cnf(c_993,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p205(X0)
    | p202(sk3_esk1_0)
    | p201(sk3_esk1_0)
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(resolution,[status(thm)],[c_818,c_819]) ).

cnf(c_1013,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p205(X0)
    | p202(sk3_esk1_0)
    | p201(sk3_esk1_0)
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(copy,[status(esa)],[c_993]) ).

cnf(c_1020,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p205(X0)
    | p202(sk3_esk1_0)
    | p201(sk3_esk1_0)
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(copy,[status(esa)],[c_1013]) ).

cnf(c_1326,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p205(X0)
    | p202(sk3_esk1_0)
    | p201(sk3_esk1_0)
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(copy,[status(esa)],[c_1020]) ).

cnf(c_1476,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p205(X0)
    | p202(sk3_esk1_0)
    | p201(sk3_esk1_0)
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(copy,[status(esa)],[c_1326]) ).

cnf(c_116430,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk13_2(X0,X1))
    | p205(sk3_esk13_2(X0,X1))
    | p202(sk3_esk1_0)
    | p201(sk3_esk1_0)
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_1476]) ).

cnf(c_116431,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk13_2(sk3_esk1_0,sk3_esk1_0))
    | p205(sk3_esk13_2(sk3_esk1_0,sk3_esk1_0))
    | p202(sk3_esk1_0)
    | p201(sk3_esk1_0)
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_116430]) ).

cnf(c_116412,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk41_2(X0,X1))
    | p103(sk3_esk41_2(X0,X1))
    | ~ sP6_iProver_split ),
    inference(instantiation,[status(thm)],[c_1451]) ).

cnf(c_116413,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk41_2(sk3_esk1_0,sk3_esk1_0))
    | p103(sk3_esk41_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP6_iProver_split ),
    inference(instantiation,[status(thm)],[c_116412]) ).

cnf(c_291,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p203(X0)
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_73]) ).

cnf(c_305,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p203(X0)
    | ~ sP4_iProver_split ),
    inference(copy,[status(esa)],[c_291]) ).

cnf(c_605,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p203(X0)
    | ~ sP4_iProver_split ),
    inference(copy,[status(esa)],[c_305]) ).

cnf(c_805,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p203(X0)
    | ~ sP4_iProver_split ),
    inference(copy,[status(esa)],[c_605]) ).

cnf(c_820,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p203(X0)
    | ~ sP4_iProver_split ),
    inference(copy,[status(esa)],[c_805]) ).

cnf(c_1297,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p203(X0)
    | ~ sP4_iProver_split ),
    inference(copy,[status(esa)],[c_820]) ).

cnf(c_1447,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p203(X0)
    | ~ sP4_iProver_split ),
    inference(copy,[status(esa)],[c_1297]) ).

cnf(c_116410,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk37_2(X0,X1))
    | p203(sk3_esk37_2(X0,X1))
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_1447]) ).

cnf(c_116411,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk37_2(sk3_esk1_0,sk3_esk1_0))
    | p203(sk3_esk37_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_116410]) ).

cnf(c_116398,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk11_2(X0,X1))
    | p205(sk3_esk11_2(X0,X1))
    | p202(sk3_esk1_0)
    | p201(sk3_esk1_0)
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_1476]) ).

cnf(c_116399,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk11_2(sk3_esk1_0,sk3_esk1_0))
    | p205(sk3_esk11_2(sk3_esk1_0,sk3_esk1_0))
    | p202(sk3_esk1_0)
    | p201(sk3_esk1_0)
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_116398]) ).

cnf(c_303,negated_conjecture,
    ( p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0)
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split,sP1_iProver_split,p303(sk3_esk1_0),p302(sk3_esk1_0),p301(sk3_esk1_0)])],[c_104]) ).

cnf(c_615,negated_conjecture,
    ( p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0)
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(copy,[status(esa)],[c_303]) ).

cnf(c_803,negated_conjecture,
    ( p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0)
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(copy,[status(esa)],[c_615]) ).

cnf(c_822,negated_conjecture,
    ( p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0)
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(copy,[status(esa)],[c_803]) ).

cnf(c_288,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p305(X0)
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_104]) ).

cnf(c_302,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p305(X0)
    | ~ sP2_iProver_split ),
    inference(copy,[status(esa)],[c_288]) ).

cnf(c_613,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p305(X0)
    | ~ sP2_iProver_split ),
    inference(copy,[status(esa)],[c_302]) ).

cnf(c_802,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p305(X0)
    | ~ sP2_iProver_split ),
    inference(copy,[status(esa)],[c_613]) ).

cnf(c_823,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p305(X0)
    | ~ sP2_iProver_split ),
    inference(copy,[status(esa)],[c_802]) ).

cnf(c_1021,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p305(X0)
    | p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0)
    | sP1_iProver_split ),
    inference(resolution,[status(thm)],[c_822,c_823]) ).

cnf(c_1041,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p305(X0)
    | p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0)
    | sP1_iProver_split ),
    inference(copy,[status(esa)],[c_1021]) ).

cnf(c_1048,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p305(X0)
    | p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0)
    | sP1_iProver_split ),
    inference(copy,[status(esa)],[c_1041]) ).

cnf(c_1335,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p305(X0)
    | p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0)
    | sP1_iProver_split ),
    inference(copy,[status(esa)],[c_1048]) ).

cnf(c_1485,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p305(X0)
    | p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0)
    | sP1_iProver_split ),
    inference(copy,[status(esa)],[c_1335]) ).

cnf(c_116396,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk7_2(X0,X1))
    | p305(sk3_esk7_2(X0,X1))
    | p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0)
    | sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_1485]) ).

cnf(c_116397,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk7_2(sk3_esk1_0,sk3_esk1_0))
    | p305(sk3_esk7_2(sk3_esk1_0,sk3_esk1_0))
    | p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0)
    | sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_116396]) ).

cnf(c_116394,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk17_2(X0,X1))
    | p105(sk3_esk17_2(X0,X1))
    | p101(sk3_esk1_0)
    | sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_1467]) ).

cnf(c_116395,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk17_2(sk3_esk1_0,sk3_esk1_0))
    | p105(sk3_esk17_2(sk3_esk1_0,sk3_esk1_0))
    | p101(sk3_esk1_0)
    | sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_116394]) ).

cnf(c_296,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p102(X0)
    | ~ sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_42]) ).

cnf(c_310,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p102(X0)
    | ~ sP8_iProver_split ),
    inference(copy,[status(esa)],[c_296]) ).

cnf(c_597,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p102(X0)
    | ~ sP8_iProver_split ),
    inference(copy,[status(esa)],[c_310]) ).

cnf(c_810,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p102(X0)
    | ~ sP8_iProver_split ),
    inference(copy,[status(esa)],[c_597]) ).

cnf(c_815,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p102(X0)
    | ~ sP8_iProver_split ),
    inference(copy,[status(esa)],[c_810]) ).

cnf(c_1305,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p102(X0)
    | ~ sP8_iProver_split ),
    inference(copy,[status(esa)],[c_815]) ).

cnf(c_1455,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p102(X0)
    | ~ sP8_iProver_split ),
    inference(copy,[status(esa)],[c_1305]) ).

cnf(c_116385,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk49_2(X0,X1))
    | p102(sk3_esk49_2(X0,X1))
    | ~ sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_1455]) ).

cnf(c_116386,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk49_2(sk3_esk1_0,sk3_esk1_0))
    | p102(sk3_esk49_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_116385]) ).

cnf(c_116383,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk42_2(X0,X1))
    | p103(sk3_esk42_2(X0,X1))
    | ~ sP6_iProver_split ),
    inference(instantiation,[status(thm)],[c_1451]) ).

cnf(c_116384,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk42_2(sk3_esk1_0,sk3_esk1_0))
    | p103(sk3_esk42_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP6_iProver_split ),
    inference(instantiation,[status(thm)],[c_116383]) ).

cnf(c_116381,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk38_2(X0,X1))
    | p203(sk3_esk38_2(X0,X1))
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_1447]) ).

cnf(c_116382,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk38_2(sk3_esk1_0,sk3_esk1_0))
    | p203(sk3_esk38_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_116381]) ).

cnf(c_116370,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk31_2(X0,X1))
    | p104(sk3_esk31_2(X0,X1))
    | ~ sP7_iProver_split ),
    inference(instantiation,[status(thm)],[c_1453]) ).

cnf(c_116371,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk31_2(sk3_esk1_0,sk3_esk1_0))
    | p104(sk3_esk31_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP7_iProver_split ),
    inference(instantiation,[status(thm)],[c_116370]) ).

cnf(c_116368,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk26_2(X0,X1))
    | p204(sk3_esk26_2(X0,X1))
    | ~ sP3_iProver_split ),
    inference(instantiation,[status(thm)],[c_1445]) ).

cnf(c_116369,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk26_2(sk3_esk1_0,sk3_esk1_0))
    | p204(sk3_esk26_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP3_iProver_split ),
    inference(instantiation,[status(thm)],[c_116368]) ).

cnf(c_116366,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk23_2(X0,X1))
    | p304(sk3_esk23_2(X0,X1))
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_1441]) ).

cnf(c_116367,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk23_2(sk3_esk1_0,sk3_esk1_0))
    | p304(sk3_esk23_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_116366]) ).

cnf(c_80052,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk48_2(X0,X1))
    | p102(sk3_esk48_2(X0,X1))
    | ~ sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_1455]) ).

cnf(c_80053,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk48_2(sk3_esk1_0,sk3_esk1_0))
    | p102(sk3_esk48_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_80052]) ).

cnf(c_80039,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk47_2(X0,X1))
    | p102(sk3_esk47_2(X0,X1))
    | ~ sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_1455]) ).

cnf(c_80040,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk47_2(sk3_esk1_0,sk3_esk1_0))
    | p102(sk3_esk47_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_80039]) ).

cnf(c_80024,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk14_2(X0,X1))
    | p105(sk3_esk14_2(X0,X1))
    | p101(sk3_esk1_0)
    | sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_1467]) ).

cnf(c_80025,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk14_2(sk3_esk1_0,sk3_esk1_0))
    | p105(sk3_esk14_2(sk3_esk1_0,sk3_esk1_0))
    | p101(sk3_esk1_0)
    | sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_80024]) ).

cnf(c_80022,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk8_2(X0,X1))
    | p205(sk3_esk8_2(X0,X1))
    | p202(sk3_esk1_0)
    | p201(sk3_esk1_0)
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_1476]) ).

cnf(c_80023,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk8_2(sk3_esk1_0,sk3_esk1_0))
    | p205(sk3_esk8_2(sk3_esk1_0,sk3_esk1_0))
    | p202(sk3_esk1_0)
    | p201(sk3_esk1_0)
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_80022]) ).

cnf(c_80020,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk4_2(X0,X1))
    | p305(sk3_esk4_2(X0,X1))
    | p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0)
    | sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_1485]) ).

cnf(c_80021,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk4_2(sk3_esk1_0,sk3_esk1_0))
    | p305(sk3_esk4_2(sk3_esk1_0,sk3_esk1_0))
    | p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0)
    | sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_80020]) ).

cnf(c_140,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p405(X0)
    | p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_286) ).

cnf(c_300,negated_conjecture,
    ( p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0)
    | sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split,p404(sk3_esk1_0),p403(sk3_esk1_0),p402(sk3_esk1_0),p401(sk3_esk1_0)])],[c_140]) ).

cnf(c_619,negated_conjecture,
    ( p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0)
    | sP0_iProver_split ),
    inference(copy,[status(esa)],[c_300]) ).

cnf(c_800,negated_conjecture,
    ( p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0)
    | sP0_iProver_split ),
    inference(copy,[status(esa)],[c_619]) ).

cnf(c_825,negated_conjecture,
    ( p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0)
    | sP0_iProver_split ),
    inference(copy,[status(esa)],[c_800]) ).

cnf(c_285,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p405(X0)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_140]) ).

cnf(c_299,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p405(X0)
    | ~ sP0_iProver_split ),
    inference(copy,[status(esa)],[c_285]) ).

cnf(c_617,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p405(X0)
    | ~ sP0_iProver_split ),
    inference(copy,[status(esa)],[c_299]) ).

cnf(c_799,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p405(X0)
    | ~ sP0_iProver_split ),
    inference(copy,[status(esa)],[c_617]) ).

cnf(c_826,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p405(X0)
    | ~ sP0_iProver_split ),
    inference(copy,[status(esa)],[c_799]) ).

cnf(c_1049,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p405(X0)
    | p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_825,c_826]) ).

cnf(c_1068,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p405(X0)
    | p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_1049]) ).

cnf(c_1075,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p405(X0)
    | p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_1068]) ).

cnf(c_1405,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p405(X0)
    | p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_1075]) ).

cnf(c_1555,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p405(X0)
    | p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_1405]) ).

cnf(c_80018,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk2_2(X0,X1))
    | p405(sk3_esk2_2(X0,X1))
    | p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_1555]) ).

cnf(c_80019,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk2_2(sk3_esk1_0,sk3_esk1_0))
    | p405(sk3_esk2_2(sk3_esk1_0,sk3_esk1_0))
    | p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_80018]) ).

cnf(c_80016,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk34_2(X0,X1))
    | p104(sk3_esk34_2(X0,X1))
    | ~ sP7_iProver_split ),
    inference(instantiation,[status(thm)],[c_1453]) ).

cnf(c_80017,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk34_2(sk3_esk1_0,sk3_esk1_0))
    | p104(sk3_esk34_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP7_iProver_split ),
    inference(instantiation,[status(thm)],[c_80016]) ).

cnf(c_80014,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk29_2(X0,X1))
    | p204(sk3_esk29_2(X0,X1))
    | ~ sP3_iProver_split ),
    inference(instantiation,[status(thm)],[c_1445]) ).

cnf(c_80015,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk29_2(sk3_esk1_0,sk3_esk1_0))
    | p204(sk3_esk29_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP3_iProver_split ),
    inference(instantiation,[status(thm)],[c_80014]) ).

cnf(c_80006,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk21_2(X0,X1))
    | p105(sk3_esk21_2(X0,X1))
    | p101(sk3_esk1_0)
    | sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_1467]) ).

cnf(c_80007,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk21_2(sk3_esk1_0,sk3_esk1_0))
    | p105(sk3_esk21_2(sk3_esk1_0,sk3_esk1_0))
    | p101(sk3_esk1_0)
    | sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_80006]) ).

cnf(c_80003,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk15_2(X0,X1))
    | p105(sk3_esk15_2(X0,X1))
    | p101(sk3_esk1_0)
    | sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_1467]) ).

cnf(c_80004,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk15_2(sk3_esk1_0,sk3_esk1_0))
    | p105(sk3_esk15_2(sk3_esk1_0,sk3_esk1_0))
    | p101(sk3_esk1_0)
    | sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_80003]) ).

cnf(c_80001,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk51_2(X0,X1))
    | p102(sk3_esk51_2(X0,X1))
    | ~ sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_1455]) ).

cnf(c_80002,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk51_2(sk3_esk1_0,sk3_esk1_0))
    | p102(sk3_esk51_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_80001]) ).

cnf(c_79999,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk50_2(X0,X1))
    | p102(sk3_esk50_2(X0,X1))
    | ~ sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_1455]) ).

cnf(c_80000,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk50_2(sk3_esk1_0,sk3_esk1_0))
    | p102(sk3_esk50_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_79999]) ).

cnf(c_79997,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk30_2(X0,X1))
    | p104(sk3_esk30_2(X0,X1))
    | ~ sP7_iProver_split ),
    inference(instantiation,[status(thm)],[c_1453]) ).

cnf(c_79998,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk30_2(sk3_esk1_0,sk3_esk1_0))
    | p104(sk3_esk30_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP7_iProver_split ),
    inference(instantiation,[status(thm)],[c_79997]) ).

cnf(c_79995,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk44_2(X0,X1))
    | p103(sk3_esk44_2(X0,X1))
    | ~ sP6_iProver_split ),
    inference(instantiation,[status(thm)],[c_1451]) ).

cnf(c_79996,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk44_2(sk3_esk1_0,sk3_esk1_0))
    | p103(sk3_esk44_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP6_iProver_split ),
    inference(instantiation,[status(thm)],[c_79995]) ).

cnf(c_79993,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk43_2(X0,X1))
    | p103(sk3_esk43_2(X0,X1))
    | ~ sP6_iProver_split ),
    inference(instantiation,[status(thm)],[c_1451]) ).

cnf(c_79994,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk43_2(sk3_esk1_0,sk3_esk1_0))
    | p103(sk3_esk43_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP6_iProver_split ),
    inference(instantiation,[status(thm)],[c_79993]) ).

cnf(c_79991,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk9_2(X0,X1))
    | p205(sk3_esk9_2(X0,X1))
    | p202(sk3_esk1_0)
    | p201(sk3_esk1_0)
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_1476]) ).

cnf(c_79992,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk9_2(sk3_esk1_0,sk3_esk1_0))
    | p205(sk3_esk9_2(sk3_esk1_0,sk3_esk1_0))
    | p202(sk3_esk1_0)
    | p201(sk3_esk1_0)
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_79991]) ).

cnf(c_79988,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk20_2(X0,X1))
    | p205(sk3_esk20_2(X0,X1))
    | p202(sk3_esk1_0)
    | p201(sk3_esk1_0)
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_1476]) ).

cnf(c_79989,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk20_2(sk3_esk1_0,sk3_esk1_0))
    | p205(sk3_esk20_2(sk3_esk1_0,sk3_esk1_0))
    | p202(sk3_esk1_0)
    | p201(sk3_esk1_0)
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_79988]) ).

cnf(c_79986,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk40_2(X0,X1))
    | p203(sk3_esk40_2(X0,X1))
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_1447]) ).

cnf(c_79987,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk40_2(sk3_esk1_0,sk3_esk1_0))
    | p203(sk3_esk40_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_79986]) ).

cnf(c_79984,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk39_2(X0,X1))
    | p203(sk3_esk39_2(X0,X1))
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_1447]) ).

cnf(c_79985,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk39_2(sk3_esk1_0,sk3_esk1_0))
    | p203(sk3_esk39_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_79984]) ).

cnf(c_79981,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk45_2(X0,X1))
    | p203(sk3_esk45_2(X0,X1))
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_1447]) ).

cnf(c_79982,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk45_2(sk3_esk1_0,sk3_esk1_0))
    | p203(sk3_esk45_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_79981]) ).

cnf(c_79979,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk25_2(X0,X1))
    | p204(sk3_esk25_2(X0,X1))
    | ~ sP3_iProver_split ),
    inference(instantiation,[status(thm)],[c_1445]) ).

cnf(c_79980,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk25_2(sk3_esk1_0,sk3_esk1_0))
    | p204(sk3_esk25_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP3_iProver_split ),
    inference(instantiation,[status(thm)],[c_79979]) ).

cnf(c_79976,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk35_2(X0,X1))
    | p204(sk3_esk35_2(X0,X1))
    | ~ sP3_iProver_split ),
    inference(instantiation,[status(thm)],[c_1445]) ).

cnf(c_79977,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk35_2(sk3_esk1_0,sk3_esk1_0))
    | p204(sk3_esk35_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP3_iProver_split ),
    inference(instantiation,[status(thm)],[c_79976]) ).

cnf(c_79974,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk5_2(X0,X1))
    | p305(sk3_esk5_2(X0,X1))
    | p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0)
    | sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_1485]) ).

cnf(c_79975,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk5_2(sk3_esk1_0,sk3_esk1_0))
    | p305(sk3_esk5_2(sk3_esk1_0,sk3_esk1_0))
    | p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0)
    | sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_79974]) ).

cnf(c_79970,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk18_2(X0,X1))
    | p305(sk3_esk18_2(X0,X1))
    | p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0)
    | sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_1485]) ).

cnf(c_79971,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk18_2(sk3_esk1_0,sk3_esk1_0))
    | p305(sk3_esk18_2(sk3_esk1_0,sk3_esk1_0))
    | p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0)
    | sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_79970]) ).

cnf(c_79968,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk12_2(X0,X1))
    | p305(sk3_esk12_2(X0,X1))
    | p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0)
    | sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_1485]) ).

cnf(c_79969,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk12_2(sk3_esk1_0,sk3_esk1_0))
    | p305(sk3_esk12_2(sk3_esk1_0,sk3_esk1_0))
    | p303(sk3_esk1_0)
    | p302(sk3_esk1_0)
    | p301(sk3_esk1_0)
    | sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_79968]) ).

cnf(c_79966,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk22_2(X0,X1))
    | p304(sk3_esk22_2(X0,X1))
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_1441]) ).

cnf(c_79967,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk22_2(sk3_esk1_0,sk3_esk1_0))
    | p304(sk3_esk22_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_79966]) ).

cnf(c_79962,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk33_2(X0,X1))
    | p304(sk3_esk33_2(X0,X1))
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_1441]) ).

cnf(c_79963,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk33_2(sk3_esk1_0,sk3_esk1_0))
    | p304(sk3_esk33_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_79962]) ).

cnf(c_79960,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk28_2(X0,X1))
    | p304(sk3_esk28_2(X0,X1))
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_1441]) ).

cnf(c_79961,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk28_2(sk3_esk1_0,sk3_esk1_0))
    | p304(sk3_esk28_2(sk3_esk1_0,sk3_esk1_0))
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_79960]) ).

cnf(c_79955,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk16_2(X0,X1))
    | p405(sk3_esk16_2(X0,X1))
    | p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_1555]) ).

cnf(c_79956,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk16_2(sk3_esk1_0,sk3_esk1_0))
    | p405(sk3_esk16_2(sk3_esk1_0,sk3_esk1_0))
    | p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_79955]) ).

cnf(c_79953,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk10_2(X0,X1))
    | p405(sk3_esk10_2(X0,X1))
    | p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_1555]) ).

cnf(c_79954,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk10_2(sk3_esk1_0,sk3_esk1_0))
    | p405(sk3_esk10_2(sk3_esk1_0,sk3_esk1_0))
    | p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_79953]) ).

cnf(c_79951,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk6_2(X0,X1))
    | p405(sk3_esk6_2(X0,X1))
    | p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_1555]) ).

cnf(c_79952,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk6_2(sk3_esk1_0,sk3_esk1_0))
    | p405(sk3_esk6_2(sk3_esk1_0,sk3_esk1_0))
    | p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_79951]) ).

cnf(c_79949,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk3_2(X0,X1))
    | p405(sk3_esk3_2(X0,X1))
    | p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_1555]) ).

cnf(c_79950,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk3_2(sk3_esk1_0,sk3_esk1_0))
    | p405(sk3_esk3_2(sk3_esk1_0,sk3_esk1_0))
    | p404(sk3_esk1_0)
    | p403(sk3_esk1_0)
    | p402(sk3_esk1_0)
    | p401(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_79949]) ).

cnf(c_0,plain,
    r1(X0,X0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_9_0) ).

cnf(c_284,plain,
    r1(sk3_esk1_0,sk3_esk1_0),
    inference(instantiation,[status(thm)],[c_0]) ).

cnf(c_2,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p405(sk3_esk6_2(X0,X1))
    | ~ p305(sk3_esk7_2(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_148) ).

cnf(c_283,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p405(sk3_esk6_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p305(sk3_esk7_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_2]) ).

cnf(c_3,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p405(sk3_esk10_2(X0,X1))
    | ~ p205(sk3_esk11_2(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_149) ).

cnf(c_282,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p405(sk3_esk10_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p205(sk3_esk11_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_3]) ).

cnf(c_4,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p305(sk3_esk12_2(X0,X1))
    | ~ p205(sk3_esk13_2(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_150) ).

cnf(c_281,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p305(sk3_esk12_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p205(sk3_esk13_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_4]) ).

cnf(c_5,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p405(sk3_esk16_2(X0,X1))
    | ~ p105(sk3_esk17_2(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_151) ).

cnf(c_280,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p405(sk3_esk16_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p105(sk3_esk17_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_5]) ).

cnf(c_6,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p305(sk3_esk18_2(X0,X1))
    | ~ p105(sk3_esk19_2(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_152) ).

cnf(c_279,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p305(sk3_esk18_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p105(sk3_esk19_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_6]) ).

cnf(c_7,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p205(sk3_esk20_2(X0,X1))
    | ~ p105(sk3_esk21_2(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_153) ).

cnf(c_278,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p205(sk3_esk20_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p105(sk3_esk21_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_7]) ).

cnf(c_8,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p304(sk3_esk28_2(X0,X1))
    | ~ p204(sk3_esk29_2(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_154) ).

cnf(c_277,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p304(sk3_esk28_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p204(sk3_esk29_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_8]) ).

cnf(c_9,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p304(sk3_esk33_2(X0,X1))
    | ~ p104(sk3_esk34_2(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_155) ).

cnf(c_276,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p304(sk3_esk33_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p104(sk3_esk34_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_9]) ).

cnf(c_10,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p204(sk3_esk35_2(X0,X1))
    | ~ p104(sk3_esk36_2(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_156) ).

cnf(c_275,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p204(sk3_esk35_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p104(sk3_esk36_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_10]) ).

cnf(c_11,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p203(sk3_esk45_2(X0,X1))
    | ~ p103(sk3_esk46_2(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_157) ).

cnf(c_274,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p203(sk3_esk45_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p103(sk3_esk46_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_11]) ).

cnf(c_12,plain,
    ( r1(X0,sk3_esk6_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p305(sk3_esk7_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_158) ).

cnf(c_273,plain,
    ( r1(sk3_esk1_0,sk3_esk6_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p305(sk3_esk7_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_12]) ).

cnf(c_13,plain,
    ( r1(X0,sk3_esk7_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p405(sk3_esk6_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_159) ).

cnf(c_272,plain,
    ( r1(sk3_esk1_0,sk3_esk7_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p405(sk3_esk6_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_13]) ).

cnf(c_14,plain,
    ( r1(X0,sk3_esk10_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p205(sk3_esk11_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_160) ).

cnf(c_271,plain,
    ( r1(sk3_esk1_0,sk3_esk10_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p205(sk3_esk11_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_14]) ).

cnf(c_15,plain,
    ( r1(X0,sk3_esk11_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p405(sk3_esk10_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_161) ).

cnf(c_270,plain,
    ( r1(sk3_esk1_0,sk3_esk11_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p405(sk3_esk10_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_15]) ).

cnf(c_16,plain,
    ( r1(X0,sk3_esk12_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p205(sk3_esk13_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_162) ).

cnf(c_269,plain,
    ( r1(sk3_esk1_0,sk3_esk12_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p205(sk3_esk13_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_16]) ).

cnf(c_17,plain,
    ( r1(X0,sk3_esk13_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p305(sk3_esk12_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_163) ).

cnf(c_268,plain,
    ( r1(sk3_esk1_0,sk3_esk13_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p305(sk3_esk12_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_17]) ).

cnf(c_18,plain,
    ( r1(X0,sk3_esk16_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p105(sk3_esk17_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_164) ).

cnf(c_267,plain,
    ( r1(sk3_esk1_0,sk3_esk16_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p105(sk3_esk17_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_18]) ).

cnf(c_19,plain,
    ( r1(X0,sk3_esk17_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p405(sk3_esk16_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_165) ).

cnf(c_266,plain,
    ( r1(sk3_esk1_0,sk3_esk17_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p405(sk3_esk16_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_19]) ).

cnf(c_20,plain,
    ( r1(X0,sk3_esk18_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p105(sk3_esk19_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_166) ).

cnf(c_265,plain,
    ( r1(sk3_esk1_0,sk3_esk18_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p105(sk3_esk19_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_20]) ).

cnf(c_21,plain,
    ( r1(X0,sk3_esk19_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p305(sk3_esk18_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_167) ).

cnf(c_264,plain,
    ( r1(sk3_esk1_0,sk3_esk19_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p305(sk3_esk18_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_21]) ).

cnf(c_22,plain,
    ( r1(X0,sk3_esk20_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p105(sk3_esk21_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_168) ).

cnf(c_263,plain,
    ( r1(sk3_esk1_0,sk3_esk20_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p105(sk3_esk21_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_22]) ).

cnf(c_23,plain,
    ( r1(X0,sk3_esk21_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p205(sk3_esk20_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_169) ).

cnf(c_262,plain,
    ( r1(sk3_esk1_0,sk3_esk21_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p205(sk3_esk20_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_23]) ).

cnf(c_24,plain,
    ( r1(X0,sk3_esk28_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p204(sk3_esk29_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_170) ).

cnf(c_261,plain,
    ( r1(sk3_esk1_0,sk3_esk28_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p204(sk3_esk29_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_24]) ).

cnf(c_25,plain,
    ( r1(X0,sk3_esk29_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p304(sk3_esk28_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_171) ).

cnf(c_260,plain,
    ( r1(sk3_esk1_0,sk3_esk29_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p304(sk3_esk28_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_25]) ).

cnf(c_26,plain,
    ( r1(X0,sk3_esk33_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p104(sk3_esk34_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_172) ).

cnf(c_259,plain,
    ( r1(sk3_esk1_0,sk3_esk33_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p104(sk3_esk34_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_26]) ).

cnf(c_27,plain,
    ( r1(X0,sk3_esk34_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p304(sk3_esk33_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_173) ).

cnf(c_258,plain,
    ( r1(sk3_esk1_0,sk3_esk34_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p304(sk3_esk33_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_27]) ).

cnf(c_28,plain,
    ( r1(X0,sk3_esk35_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p104(sk3_esk36_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_174) ).

cnf(c_257,plain,
    ( r1(sk3_esk1_0,sk3_esk35_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p104(sk3_esk36_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_28]) ).

cnf(c_29,plain,
    ( r1(X0,sk3_esk36_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p204(sk3_esk35_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_175) ).

cnf(c_256,plain,
    ( r1(sk3_esk1_0,sk3_esk36_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p204(sk3_esk35_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_29]) ).

cnf(c_30,plain,
    ( r1(X0,sk3_esk45_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p103(sk3_esk46_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_176) ).

cnf(c_255,plain,
    ( r1(sk3_esk1_0,sk3_esk45_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p103(sk3_esk46_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_30]) ).

cnf(c_31,plain,
    ( r1(X0,sk3_esk46_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p203(sk3_esk45_2(X1,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_177) ).

cnf(c_254,plain,
    ( r1(sk3_esk1_0,sk3_esk46_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p203(sk3_esk45_2(sk3_esk1_0,sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_31]) ).

cnf(c_32,plain,
    ( r1(X0,sk3_esk6_2(X1,X0))
    | r1(X0,sk3_esk7_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_178) ).

cnf(c_253,plain,
    ( r1(sk3_esk1_0,sk3_esk6_2(sk3_esk1_0,sk3_esk1_0))
    | r1(sk3_esk1_0,sk3_esk7_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_32]) ).

cnf(c_33,plain,
    ( r1(X0,sk3_esk10_2(X1,X0))
    | r1(X0,sk3_esk11_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_179) ).

cnf(c_252,plain,
    ( r1(sk3_esk1_0,sk3_esk10_2(sk3_esk1_0,sk3_esk1_0))
    | r1(sk3_esk1_0,sk3_esk11_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_33]) ).

cnf(c_34,plain,
    ( r1(X0,sk3_esk12_2(X1,X0))
    | r1(X0,sk3_esk13_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_180) ).

cnf(c_251,plain,
    ( r1(sk3_esk1_0,sk3_esk12_2(sk3_esk1_0,sk3_esk1_0))
    | r1(sk3_esk1_0,sk3_esk13_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_34]) ).

cnf(c_35,plain,
    ( r1(X0,sk3_esk16_2(X1,X0))
    | r1(X0,sk3_esk17_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_181) ).

cnf(c_250,plain,
    ( r1(sk3_esk1_0,sk3_esk16_2(sk3_esk1_0,sk3_esk1_0))
    | r1(sk3_esk1_0,sk3_esk17_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_35]) ).

cnf(c_36,plain,
    ( r1(X0,sk3_esk18_2(X1,X0))
    | r1(X0,sk3_esk19_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_182) ).

cnf(c_249,plain,
    ( r1(sk3_esk1_0,sk3_esk18_2(sk3_esk1_0,sk3_esk1_0))
    | r1(sk3_esk1_0,sk3_esk19_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_36]) ).

cnf(c_37,plain,
    ( r1(X0,sk3_esk20_2(X1,X0))
    | r1(X0,sk3_esk21_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_183) ).

cnf(c_248,plain,
    ( r1(sk3_esk1_0,sk3_esk20_2(sk3_esk1_0,sk3_esk1_0))
    | r1(sk3_esk1_0,sk3_esk21_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_37]) ).

cnf(c_38,plain,
    ( r1(X0,sk3_esk28_2(X1,X0))
    | r1(X0,sk3_esk29_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_184) ).

cnf(c_247,plain,
    ( r1(sk3_esk1_0,sk3_esk28_2(sk3_esk1_0,sk3_esk1_0))
    | r1(sk3_esk1_0,sk3_esk29_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_38]) ).

cnf(c_39,plain,
    ( r1(X0,sk3_esk33_2(X1,X0))
    | r1(X0,sk3_esk34_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_185) ).

cnf(c_246,plain,
    ( r1(sk3_esk1_0,sk3_esk33_2(sk3_esk1_0,sk3_esk1_0))
    | r1(sk3_esk1_0,sk3_esk34_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_39]) ).

cnf(c_40,plain,
    ( r1(X0,sk3_esk35_2(X1,X0))
    | r1(X0,sk3_esk36_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_186) ).

cnf(c_245,plain,
    ( r1(sk3_esk1_0,sk3_esk35_2(sk3_esk1_0,sk3_esk1_0))
    | r1(sk3_esk1_0,sk3_esk36_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_40]) ).

cnf(c_41,plain,
    ( r1(X0,sk3_esk45_2(X1,X0))
    | r1(X0,sk3_esk46_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_187) ).

cnf(c_244,plain,
    ( r1(sk3_esk1_0,sk3_esk45_2(sk3_esk1_0,sk3_esk1_0))
    | r1(sk3_esk1_0,sk3_esk46_2(sk3_esk1_0,sk3_esk1_0))
    | ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_41]) ).

cnf(c_43,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p405(sk3_esk2_2(X0,X1))
    | ~ p605(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_189) ).

cnf(c_243,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p405(sk3_esk2_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p605(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_43]) ).

cnf(c_44,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p405(sk3_esk3_2(X0,X1))
    | ~ p505(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_190) ).

cnf(c_242,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p405(sk3_esk3_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p505(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_44]) ).

cnf(c_45,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p305(sk3_esk4_2(X0,X1))
    | ~ p605(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_191) ).

cnf(c_241,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p305(sk3_esk4_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p605(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_45]) ).

cnf(c_46,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p305(sk3_esk5_2(X0,X1))
    | ~ p505(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_192) ).

cnf(c_240,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p305(sk3_esk5_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p505(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_46]) ).

cnf(c_47,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p205(sk3_esk8_2(X0,X1))
    | ~ p605(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_193) ).

cnf(c_239,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p205(sk3_esk8_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p605(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_47]) ).

cnf(c_48,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p205(sk3_esk9_2(X0,X1))
    | ~ p505(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_194) ).

cnf(c_238,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p205(sk3_esk9_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p505(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_48]) ).

cnf(c_49,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p105(sk3_esk14_2(X0,X1))
    | ~ p605(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_195) ).

cnf(c_237,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p105(sk3_esk14_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p605(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_50,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p105(sk3_esk15_2(X0,X1))
    | ~ p505(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_196) ).

cnf(c_236,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p105(sk3_esk15_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p505(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_51,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p304(sk3_esk22_2(X0,X1))
    | ~ p604(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_197) ).

cnf(c_235,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p304(sk3_esk22_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p604(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_52,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p304(sk3_esk23_2(X0,X1))
    | ~ p504(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_198) ).

cnf(c_234,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p304(sk3_esk23_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p504(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_53,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p304(sk3_esk24_2(X0,X1))
    | ~ p404(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_199) ).

cnf(c_233,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p304(sk3_esk24_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p404(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_54,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p204(sk3_esk25_2(X0,X1))
    | ~ p604(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_200) ).

cnf(c_232,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p204(sk3_esk25_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p604(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_55,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p204(sk3_esk26_2(X0,X1))
    | ~ p504(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_201) ).

cnf(c_231,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p204(sk3_esk26_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p504(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_56,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p204(sk3_esk27_2(X0,X1))
    | ~ p404(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_202) ).

cnf(c_230,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p204(sk3_esk27_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p404(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_57,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p104(sk3_esk30_2(X0,X1))
    | ~ p604(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_203) ).

cnf(c_229,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p104(sk3_esk30_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p604(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_58,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p104(sk3_esk31_2(X0,X1))
    | ~ p504(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_204) ).

cnf(c_228,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p104(sk3_esk31_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p504(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_59,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p104(sk3_esk32_2(X0,X1))
    | ~ p404(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_205) ).

cnf(c_227,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p104(sk3_esk32_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p404(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_60,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p203(sk3_esk37_2(X0,X1))
    | ~ p603(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_206) ).

cnf(c_226,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p203(sk3_esk37_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p603(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_61,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p203(sk3_esk38_2(X0,X1))
    | ~ p503(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_207) ).

cnf(c_225,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p203(sk3_esk38_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p503(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_61]) ).

cnf(c_62,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p203(sk3_esk39_2(X0,X1))
    | ~ p403(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_208) ).

cnf(c_224,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p203(sk3_esk39_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p403(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_63,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p203(sk3_esk40_2(X0,X1))
    | ~ p303(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_209) ).

cnf(c_223,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p203(sk3_esk40_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p303(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_64,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p103(sk3_esk41_2(X0,X1))
    | ~ p603(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_210) ).

cnf(c_222,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p103(sk3_esk41_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p603(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_64]) ).

cnf(c_65,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p103(sk3_esk42_2(X0,X1))
    | ~ p503(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_211) ).

cnf(c_221,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p103(sk3_esk42_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p503(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_65]) ).

cnf(c_66,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p103(sk3_esk43_2(X0,X1))
    | ~ p403(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_212) ).

cnf(c_220,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p103(sk3_esk43_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p403(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_67,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p103(sk3_esk44_2(X0,X1))
    | ~ p303(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_213) ).

cnf(c_219,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p103(sk3_esk44_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p303(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_68,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p102(sk3_esk47_2(X0,X1))
    | ~ p602(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_214) ).

cnf(c_218,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p102(sk3_esk47_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p602(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_69,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p102(sk3_esk48_2(X0,X1))
    | ~ p502(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_215) ).

cnf(c_217,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p102(sk3_esk48_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p502(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_70,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p102(sk3_esk49_2(X0,X1))
    | ~ p402(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_216) ).

cnf(c_216,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p102(sk3_esk49_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p402(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_70]) ).

cnf(c_71,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p102(sk3_esk50_2(X0,X1))
    | ~ p302(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_217) ).

cnf(c_215,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p102(sk3_esk50_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p302(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_72,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p102(sk3_esk51_2(X0,X1))
    | ~ p202(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_218) ).

cnf(c_214,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p102(sk3_esk51_2(sk3_esk1_0,sk3_esk1_0))
    | ~ p202(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_74,plain,
    ( r1(X0,sk3_esk2_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p605(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_220) ).

cnf(c_213,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk2_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p605(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_74]) ).

cnf(c_75,plain,
    ( r1(X0,sk3_esk3_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p505(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_221) ).

cnf(c_212,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk3_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p505(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_75]) ).

cnf(c_76,plain,
    ( r1(X0,sk3_esk4_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p605(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_222) ).

cnf(c_211,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk4_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p605(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_76]) ).

cnf(c_77,plain,
    ( r1(X0,sk3_esk5_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p505(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_223) ).

cnf(c_210,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk5_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p505(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_77]) ).

cnf(c_78,plain,
    ( r1(X0,sk3_esk8_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p605(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_224) ).

cnf(c_209,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk8_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p605(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_78]) ).

cnf(c_79,plain,
    ( r1(X0,sk3_esk9_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p505(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_225) ).

cnf(c_208,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk9_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p505(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_80,plain,
    ( r1(X0,sk3_esk14_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p605(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_226) ).

cnf(c_207,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk14_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p605(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_81,plain,
    ( r1(X0,sk3_esk15_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p505(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_227) ).

cnf(c_206,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk15_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p505(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_81]) ).

cnf(c_82,plain,
    ( r1(X0,sk3_esk22_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p604(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_228) ).

cnf(c_205,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk22_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p604(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_82]) ).

cnf(c_83,plain,
    ( r1(X0,sk3_esk23_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p504(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_229) ).

cnf(c_204,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk23_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p504(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_83]) ).

cnf(c_84,plain,
    ( r1(X0,sk3_esk24_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p404(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_230) ).

cnf(c_203,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk24_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p404(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_84]) ).

cnf(c_85,plain,
    ( r1(X0,sk3_esk25_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p604(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_231) ).

cnf(c_202,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk25_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p604(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_85]) ).

cnf(c_86,plain,
    ( r1(X0,sk3_esk26_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p504(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_232) ).

cnf(c_201,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk26_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p504(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_86]) ).

cnf(c_87,plain,
    ( r1(X0,sk3_esk27_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p404(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_233) ).

cnf(c_200,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk27_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p404(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_87]) ).

cnf(c_88,plain,
    ( r1(X0,sk3_esk30_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p604(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_234) ).

cnf(c_199,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk30_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p604(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_89,plain,
    ( r1(X0,sk3_esk31_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p504(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_235) ).

cnf(c_198,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk31_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p504(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_89]) ).

cnf(c_90,plain,
    ( r1(X0,sk3_esk32_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p404(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_236) ).

cnf(c_197,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk32_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p404(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_90]) ).

cnf(c_91,plain,
    ( r1(X0,sk3_esk37_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p603(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_237) ).

cnf(c_196,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk37_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p603(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_91]) ).

cnf(c_92,plain,
    ( r1(X0,sk3_esk38_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p503(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_238) ).

cnf(c_195,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk38_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p503(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_92]) ).

cnf(c_93,plain,
    ( r1(X0,sk3_esk39_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p403(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_239) ).

cnf(c_194,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk39_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p403(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_94,plain,
    ( r1(X0,sk3_esk40_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p303(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_240) ).

cnf(c_193,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk40_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p303(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_95,plain,
    ( r1(X0,sk3_esk41_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p603(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_241) ).

cnf(c_192,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk41_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p603(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_95]) ).

cnf(c_96,plain,
    ( r1(X0,sk3_esk42_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p503(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_242) ).

cnf(c_191,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk42_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p503(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_96]) ).

cnf(c_97,plain,
    ( r1(X0,sk3_esk43_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p403(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_243) ).

cnf(c_190,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk43_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p403(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_97]) ).

cnf(c_98,plain,
    ( r1(X0,sk3_esk44_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p303(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_244) ).

cnf(c_189,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk44_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p303(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_98]) ).

cnf(c_99,plain,
    ( r1(X0,sk3_esk47_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p602(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_245) ).

cnf(c_188,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk47_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p602(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_99]) ).

cnf(c_100,plain,
    ( r1(X0,sk3_esk48_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p502(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_246) ).

cnf(c_187,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk48_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p502(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_100]) ).

cnf(c_101,plain,
    ( r1(X0,sk3_esk49_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p402(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_247) ).

cnf(c_186,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk49_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p402(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_101]) ).

cnf(c_102,plain,
    ( r1(X0,sk3_esk50_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p302(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_248) ).

cnf(c_185,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk50_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p302(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_103,plain,
    ( r1(X0,sk3_esk51_2(X1,X0))
    | ~ r1(X1,X0)
    | ~ epred1_1(X1)
    | ~ p202(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_249) ).

cnf(c_184,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | r1(sk3_esk1_0,sk3_esk51_2(sk3_esk1_0,sk3_esk1_0))
    | ~ epred1_1(sk3_esk1_0)
    | ~ p202(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_103]) ).

cnf(c_105,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p605(X1)
    | ~ p505(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_251) ).

cnf(c_183,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p605(sk3_esk1_0)
    | ~ p505(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_106,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p604(X1)
    | ~ p504(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_252) ).

cnf(c_182,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p604(sk3_esk1_0)
    | ~ p504(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_106]) ).

cnf(c_107,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p604(X1)
    | ~ p404(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_253) ).

cnf(c_181,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p604(sk3_esk1_0)
    | ~ p404(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_107]) ).

cnf(c_108,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p504(X1)
    | ~ p404(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_254) ).

cnf(c_180,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p504(sk3_esk1_0)
    | ~ p404(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_108]) ).

cnf(c_109,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p603(X1)
    | ~ p503(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_255) ).

cnf(c_179,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p603(sk3_esk1_0)
    | ~ p503(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_109]) ).

cnf(c_110,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p603(X1)
    | ~ p403(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_256) ).

cnf(c_178,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p603(sk3_esk1_0)
    | ~ p403(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_110]) ).

cnf(c_111,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p503(X1)
    | ~ p403(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_257) ).

cnf(c_177,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p503(sk3_esk1_0)
    | ~ p403(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_111]) ).

cnf(c_112,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p603(X1)
    | ~ p303(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_258) ).

cnf(c_176,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p603(sk3_esk1_0)
    | ~ p303(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_113,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p503(X1)
    | ~ p303(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_259) ).

cnf(c_175,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p503(sk3_esk1_0)
    | ~ p303(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_114,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p403(X1)
    | ~ p303(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_260) ).

cnf(c_174,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p403(sk3_esk1_0)
    | ~ p303(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_114]) ).

cnf(c_115,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p602(X1)
    | ~ p502(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_261) ).

cnf(c_173,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p602(sk3_esk1_0)
    | ~ p502(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_115]) ).

cnf(c_116,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p602(X1)
    | ~ p402(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_262) ).

cnf(c_172,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p602(sk3_esk1_0)
    | ~ p402(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_117,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p502(X1)
    | ~ p402(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_263) ).

cnf(c_171,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p502(sk3_esk1_0)
    | ~ p402(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_118,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p602(X1)
    | ~ p302(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_264) ).

cnf(c_170,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p602(sk3_esk1_0)
    | ~ p302(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_118]) ).

cnf(c_119,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p502(X1)
    | ~ p302(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_265) ).

cnf(c_169,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p502(sk3_esk1_0)
    | ~ p302(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_119]) ).

cnf(c_120,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p402(X1)
    | ~ p302(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_266) ).

cnf(c_168,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p402(sk3_esk1_0)
    | ~ p302(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_120]) ).

cnf(c_121,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p602(X1)
    | ~ p202(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_267) ).

cnf(c_167,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p602(sk3_esk1_0)
    | ~ p202(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_121]) ).

cnf(c_122,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p502(X1)
    | ~ p202(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_268) ).

cnf(c_166,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p502(sk3_esk1_0)
    | ~ p202(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_122]) ).

cnf(c_123,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p402(X1)
    | ~ p202(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_269) ).

cnf(c_165,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p402(sk3_esk1_0)
    | ~ p202(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_123]) ).

cnf(c_124,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p302(X1)
    | ~ p202(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_270) ).

cnf(c_164,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p302(sk3_esk1_0)
    | ~ p202(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_124]) ).

cnf(c_125,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p501(X1)
    | ~ p601(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_271) ).

cnf(c_163,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p501(sk3_esk1_0)
    | ~ p601(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_125]) ).

cnf(c_126,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p601(X1)
    | ~ p401(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_272) ).

cnf(c_162,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p601(sk3_esk1_0)
    | ~ p401(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_126]) ).

cnf(c_127,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p501(X1)
    | ~ p401(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_273) ).

cnf(c_161,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p501(sk3_esk1_0)
    | ~ p401(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_127]) ).

cnf(c_128,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p301(X1)
    | ~ p601(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_274) ).

cnf(c_160,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p301(sk3_esk1_0)
    | ~ p601(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_128]) ).

cnf(c_129,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p301(X1)
    | ~ p501(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_275) ).

cnf(c_159,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p301(sk3_esk1_0)
    | ~ p501(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_129]) ).

cnf(c_130,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p301(X1)
    | ~ p401(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_276) ).

cnf(c_158,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p301(sk3_esk1_0)
    | ~ p401(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_130]) ).

cnf(c_131,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p201(X1)
    | ~ p601(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_277) ).

cnf(c_157,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p201(sk3_esk1_0)
    | ~ p601(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_131]) ).

cnf(c_132,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p201(X1)
    | ~ p501(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_278) ).

cnf(c_156,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p201(sk3_esk1_0)
    | ~ p501(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_132]) ).

cnf(c_133,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p201(X1)
    | ~ p401(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_279) ).

cnf(c_155,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p201(sk3_esk1_0)
    | ~ p401(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_133]) ).

cnf(c_134,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p201(X1)
    | ~ p301(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_280) ).

cnf(c_154,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p201(sk3_esk1_0)
    | ~ p301(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_134]) ).

cnf(c_135,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p101(X1)
    | ~ p601(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_281) ).

cnf(c_153,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p101(sk3_esk1_0)
    | ~ p601(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_135]) ).

cnf(c_136,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p101(X1)
    | ~ p501(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_282) ).

cnf(c_152,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p101(sk3_esk1_0)
    | ~ p501(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_136]) ).

cnf(c_137,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p101(X1)
    | ~ p401(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_283) ).

cnf(c_151,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p101(sk3_esk1_0)
    | ~ p401(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_137]) ).

cnf(c_138,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p101(X1)
    | ~ p301(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_284) ).

cnf(c_150,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p101(sk3_esk1_0)
    | ~ p301(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_138]) ).

cnf(c_139,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p101(X1)
    | ~ p201(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_285) ).

cnf(c_149,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ epred1_1(sk3_esk1_0)
    | ~ p101(sk3_esk1_0)
    | ~ p201(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_139]) ).

cnf(c_141,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | epred1_1(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_287) ).

cnf(c_144,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | epred1_1(sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_141]) ).

cnf(c_142,negated_conjecture,
    ( p605(sk3_esk1_0)
    | p604(sk3_esk1_0)
    | p603(sk3_esk1_0)
    | p602(sk3_esk1_0)
    | p601(sk3_esk1_0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_288) ).

cnf(c_143,negated_conjecture,
    ( p505(sk3_esk1_0)
    | p504(sk3_esk1_0)
    | p503(sk3_esk1_0)
    | p502(sk3_esk1_0)
    | p501(sk3_esk1_0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_972c4a.p',c_0_289) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_116516,c_116475,c_116473,c_116471,c_116435,c_116433,c_116431,c_116413,c_116411,c_116399,c_116397,c_116395,c_116386,c_116384,c_116382,c_116371,c_116369,c_116367,c_80053,c_80040,c_80025,c_80023,c_80021,c_80019,c_80017,c_80015,c_80007,c_80004,c_80002,c_80000,c_79998,c_79996,c_79994,c_79992,c_79989,c_79987,c_79985,c_79982,c_79980,c_79977,c_79975,c_79971,c_79969,c_79967,c_79963,c_79961,c_79956,c_79954,c_79952,c_79950,c_284,c_283,c_282,c_281,c_280,c_279,c_278,c_277,c_276,c_275,c_274,c_273,c_272,c_271,c_270,c_269,c_268,c_267,c_266,c_265,c_264,c_263,c_262,c_261,c_260,c_259,c_258,c_257,c_256,c_255,c_254,c_253,c_252,c_251,c_250,c_249,c_248,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_240,c_239,c_238,c_237,c_236,c_235,c_234,c_233,c_232,c_231,c_230,c_229,c_228,c_227,c_226,c_225,c_224,c_223,c_222,c_221,c_220,c_219,c_218,c_217,c_216,c_215,c_214,c_213,c_212,c_211,c_210,c_209,c_208,c_207,c_206,c_205,c_204,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_194,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_161,c_160,c_159,c_158,c_157,c_156,c_155,c_154,c_153,c_152,c_151,c_150,c_149,c_144,c_142,c_143]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LCL684+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : iprover_modulo %s %d
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  2 19:11:07 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Running in mono-core mode
% 0.19/0.40  % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.40  % FOF problem with conjecture
% 0.19/0.40  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_69834b.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_972c4a.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_88c45c | grep -v "SZS"
% 0.19/0.42  
% 0.19/0.42  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.42  
% 0.19/0.42  % 
% 0.19/0.42  % ------  iProver source info 
% 0.19/0.42  
% 0.19/0.42  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.42  % git: non_committed_changes: true
% 0.19/0.42  % git: last_make_outside_of_git: true
% 0.19/0.42  
% 0.19/0.42  % 
% 0.19/0.42  % ------ Input Options
% 0.19/0.42  
% 0.19/0.42  % --out_options                         all
% 0.19/0.42  % --tptp_safe_out                       true
% 0.19/0.42  % --problem_path                        ""
% 0.19/0.42  % --include_path                        ""
% 0.19/0.42  % --clausifier                          .//eprover
% 0.19/0.42  % --clausifier_options                  --tstp-format  
% 0.19/0.42  % --stdin                               false
% 0.19/0.42  % --dbg_backtrace                       false
% 0.19/0.42  % --dbg_dump_prop_clauses               false
% 0.19/0.42  % --dbg_dump_prop_clauses_file          -
% 0.19/0.42  % --dbg_out_stat                        false
% 0.19/0.42  
% 0.19/0.42  % ------ General Options
% 0.19/0.42  
% 0.19/0.42  % --fof                                 false
% 0.19/0.42  % --time_out_real                       150.
% 0.19/0.42  % --time_out_prep_mult                  0.2
% 0.19/0.42  % --time_out_virtual                    -1.
% 0.19/0.42  % --schedule                            none
% 0.19/0.42  % --ground_splitting                    input
% 0.19/0.42  % --splitting_nvd                       16
% 0.19/0.42  % --non_eq_to_eq                        false
% 0.19/0.42  % --prep_gs_sim                         true
% 0.19/0.42  % --prep_unflatten                      false
% 0.19/0.42  % --prep_res_sim                        true
% 0.19/0.42  % --prep_upred                          true
% 0.19/0.42  % --res_sim_input                       true
% 0.19/0.42  % --clause_weak_htbl                    true
% 0.19/0.42  % --gc_record_bc_elim                   false
% 0.19/0.42  % --symbol_type_check                   false
% 0.19/0.42  % --clausify_out                        false
% 0.19/0.42  % --large_theory_mode                   false
% 0.19/0.42  % --prep_sem_filter                     none
% 0.19/0.42  % --prep_sem_filter_out                 false
% 0.19/0.42  % --preprocessed_out                    false
% 0.19/0.42  % --sub_typing                          false
% 0.19/0.42  % --brand_transform                     false
% 0.19/0.42  % --pure_diseq_elim                     true
% 0.19/0.42  % --min_unsat_core                      false
% 0.19/0.42  % --pred_elim                           true
% 0.19/0.42  % --add_important_lit                   false
% 0.19/0.42  % --soft_assumptions                    false
% 0.19/0.42  % --reset_solvers                       false
% 0.19/0.42  % --bc_imp_inh                          []
% 0.19/0.42  % --conj_cone_tolerance                 1.5
% 0.19/0.42  % --prolific_symb_bound                 500
% 0.19/0.42  % --lt_threshold                        2000
% 0.19/0.42  
% 0.19/0.42  % ------ SAT Options
% 0.19/0.42  
% 0.19/0.42  % --sat_mode                            false
% 0.19/0.42  % --sat_fm_restart_options              ""
% 0.19/0.42  % --sat_gr_def                          false
% 0.19/0.42  % --sat_epr_types                       true
% 0.19/0.42  % --sat_non_cyclic_types                false
% 0.19/0.42  % --sat_finite_models                   false
% 0.19/0.42  % --sat_fm_lemmas                       false
% 0.19/0.42  % --sat_fm_prep                         false
% 0.19/0.42  % --sat_fm_uc_incr                      true
% 0.19/0.42  % --sat_out_model                       small
% 0.19/0.42  % --sat_out_clauses                     false
% 0.19/0.42  
% 0.19/0.42  % ------ QBF Options
% 0.19/0.42  
% 0.19/0.42  % --qbf_mode                            false
% 0.19/0.42  % --qbf_elim_univ                       true
% 0.19/0.42  % --qbf_sk_in                           true
% 0.19/0.42  % --qbf_pred_elim                       true
% 0.19/0.42  % --qbf_split                           32
% 0.19/0.42  
% 0.19/0.42  % ------ BMC1 Options
% 0.19/0.42  
% 0.19/0.42  % --bmc1_incremental                    false
% 0.19/0.42  % --bmc1_axioms                         reachable_all
% 0.19/0.42  % --bmc1_min_bound                      0
% 0.19/0.42  % --bmc1_max_bound                      -1
% 0.19/0.42  % --bmc1_max_bound_default              -1
% 0.19/0.42  % --bmc1_symbol_reachability            true
% 0.19/0.42  % --bmc1_property_lemmas                false
% 0.19/0.42  % --bmc1_k_induction                    false
% 0.19/0.42  % --bmc1_non_equiv_states               false
% 0.19/0.42  % --bmc1_deadlock                       false
% 0.19/0.42  % --bmc1_ucm                            false
% 0.19/0.42  % --bmc1_add_unsat_core                 none
% 0.19/0.42  % --bmc1_unsat_core_children            false
% 0.19/0.42  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.42  % --bmc1_out_stat                       full
% 0.19/0.42  % --bmc1_ground_init                    false
% 0.19/0.42  % --bmc1_pre_inst_next_state            false
% 0.19/0.42  % --bmc1_pre_inst_state                 false
% 0.19/0.42  % --bmc1_pre_inst_reach_state           false
% 0.19/0.42  % --bmc1_out_unsat_core                 false
% 0.19/0.42  % --bmc1_aig_witness_out                false
% 0.19/0.42  % --bmc1_verbose                        false
% 0.19/0.42  % --bmc1_dump_clauses_tptp              false
% 0.19/0.45  % --bmc1_dump_unsat_core_tptp           false
% 0.19/0.45  % --bmc1_dump_file                      -
% 0.19/0.45  % --bmc1_ucm_expand_uc_limit            128
% 0.19/0.45  % --bmc1_ucm_n_expand_iterations        6
% 0.19/0.45  % --bmc1_ucm_extend_mode                1
% 0.19/0.45  % --bmc1_ucm_init_mode                  2
% 0.19/0.45  % --bmc1_ucm_cone_mode                  none
% 0.19/0.45  % --bmc1_ucm_reduced_relation_type      0
% 0.19/0.45  % --bmc1_ucm_relax_model                4
% 0.19/0.45  % --bmc1_ucm_full_tr_after_sat          true
% 0.19/0.45  % --bmc1_ucm_expand_neg_assumptions     false
% 0.19/0.45  % --bmc1_ucm_layered_model              none
% 0.19/0.45  % --bmc1_ucm_max_lemma_size             10
% 0.19/0.45  
% 0.19/0.45  % ------ AIG Options
% 0.19/0.45  
% 0.19/0.45  % --aig_mode                            false
% 0.19/0.45  
% 0.19/0.45  % ------ Instantiation Options
% 0.19/0.45  
% 0.19/0.45  % --instantiation_flag                  true
% 0.19/0.45  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.45  % --inst_solver_per_active              750
% 0.19/0.45  % --inst_solver_calls_frac              0.5
% 0.19/0.45  % --inst_passive_queue_type             priority_queues
% 0.19/0.45  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.45  % --inst_passive_queues_freq            [25;2]
% 0.19/0.45  % --inst_dismatching                    true
% 0.19/0.45  % --inst_eager_unprocessed_to_passive   true
% 0.19/0.45  % --inst_prop_sim_given                 true
% 0.19/0.45  % --inst_prop_sim_new                   false
% 0.19/0.45  % --inst_orphan_elimination             true
% 0.19/0.45  % --inst_learning_loop_flag             true
% 0.19/0.45  % --inst_learning_start                 3000
% 0.19/0.45  % --inst_learning_factor                2
% 0.19/0.45  % --inst_start_prop_sim_after_learn     3
% 0.19/0.45  % --inst_sel_renew                      solver
% 0.19/0.45  % --inst_lit_activity_flag              true
% 0.19/0.45  % --inst_out_proof                      true
% 0.19/0.45  
% 0.19/0.45  % ------ Resolution Options
% 0.19/0.45  
% 0.19/0.45  % --resolution_flag                     true
% 0.19/0.45  % --res_lit_sel                         kbo_max
% 0.19/0.45  % --res_to_prop_solver                  none
% 0.19/0.45  % --res_prop_simpl_new                  false
% 0.19/0.45  % --res_prop_simpl_given                false
% 0.19/0.45  % --res_passive_queue_type              priority_queues
% 0.19/0.45  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.45  % --res_passive_queues_freq             [15;5]
% 0.19/0.45  % --res_forward_subs                    full
% 0.19/0.45  % --res_backward_subs                   full
% 0.19/0.45  % --res_forward_subs_resolution         true
% 0.19/0.45  % --res_backward_subs_resolution        true
% 0.19/0.45  % --res_orphan_elimination              false
% 0.19/0.45  % --res_time_limit                      1000.
% 0.19/0.45  % --res_out_proof                       true
% 0.19/0.45  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_69834b.s
% 0.19/0.45  % --modulo                              true
% 0.19/0.45  
% 0.19/0.45  % ------ Combination Options
% 0.19/0.45  
% 0.19/0.45  % --comb_res_mult                       1000
% 0.19/0.45  % --comb_inst_mult                      300
% 0.19/0.45  % ------ 
% 0.19/0.45  
% 0.19/0.45  % ------ Parsing...% successful
% 0.19/0.45  
% 0.19/0.45  % ------ Preprocessing... gs_s  sp: 20 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.19/0.45  
% 0.19/0.45  % ------ Proving...
% 0.19/0.45  % ------ Problem Properties 
% 0.19/0.45  
% 0.19/0.45  % 
% 0.19/0.45  % EPR                                   false
% 0.19/0.45  % Horn                                  false
% 0.19/0.45  % Has equality                          false
% 0.19/0.45  
% 0.19/0.45  % % ------ Input Options Time Limit: Unbounded
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  % % ------ Current options:
% 0.19/0.45  
% 0.19/0.45  % ------ Input Options
% 0.19/0.45  
% 0.19/0.45  % --out_options                         all
% 0.19/0.45  % --tptp_safe_out                       true
% 0.19/0.45  % --problem_path                        ""
% 0.19/0.45  % --include_path                        ""
% 0.19/0.45  % --clausifier                          .//eprover
% 0.19/0.45  % --clausifier_options                  --tstp-format  
% 0.19/0.45  % --stdin                               false
% 0.19/0.45  % --dbg_backtrace                       false
% 0.19/0.45  % --dbg_dump_prop_clauses               false
% 0.19/0.45  % --dbg_dump_prop_clauses_file          -
% 0.19/0.45  % --dbg_out_stat                        false
% 0.19/0.45  
% 0.19/0.45  % ------ General Options
% 0.19/0.45  
% 0.19/0.45  % --fof                                 false
% 0.19/0.45  % --time_out_real                       150.
% 0.19/0.45  % --time_out_prep_mult                  0.2
% 0.19/0.45  % --time_out_virtual                    -1.
% 0.19/0.45  % --schedule                            none
% 0.19/0.45  % --ground_splitting                    input
% 0.19/0.45  % --splitting_nvd                       16
% 0.19/0.45  % --non_eq_to_eq                        false
% 0.19/0.45  % --prep_gs_sim                         true
% 0.19/0.45  % --prep_unflatten                      false
% 0.19/0.45  % --prep_res_sim                        true
% 0.19/0.45  % --prep_upred                          true
% 0.19/0.45  % --res_sim_input                       true
% 0.19/0.45  % --clause_weak_htbl                    true
% 0.19/0.45  % --gc_record_bc_elim                   false
% 0.19/0.45  % --symbol_type_check                   false
% 0.19/0.45  % --clausify_out                        false
% 0.19/0.45  % --large_theory_mode                   false
% 0.19/0.45  % --prep_sem_filter                     none
% 0.19/0.45  % --prep_sem_filter_out                 false
% 0.19/0.45  % --preprocessed_out                    false
% 0.19/0.45  % --sub_typing                          false
% 0.19/0.45  % --brand_transform                     false
% 0.19/0.45  % --pure_diseq_elim                     true
% 0.19/0.45  % --min_unsat_core                      false
% 0.19/0.45  % --pred_elim                           true
% 0.19/0.45  % --add_important_lit                   false
% 0.19/0.45  % --soft_assumptions                    false
% 0.19/0.45  % --reset_solvers                       false
% 0.19/0.45  % --bc_imp_inh                          []
% 0.19/0.45  % --conj_cone_tolerance                 1.5
% 0.19/0.45  % --prolific_symb_bound                 500
% 0.19/0.45  % --lt_threshold                        2000
% 0.19/0.45  
% 0.19/0.45  % ------ SAT Options
% 0.19/0.45  
% 0.19/0.45  % --sat_mode                            false
% 0.19/0.45  % --sat_fm_restart_options              ""
% 0.19/0.45  % --sat_gr_def                          false
% 0.19/0.45  % --sat_epr_types                       true
% 0.19/0.45  % --sat_non_cyclic_types                false
% 0.19/0.45  % --sat_finite_models                   false
% 0.19/0.45  % --sat_fm_lemmas                       false
% 0.19/0.45  % --sat_fm_prep                         false
% 0.19/0.45  % --sat_fm_uc_incr                      true
% 0.19/0.45  % --sat_out_model                       small
% 0.19/0.45  % --sat_out_clauses                     false
% 0.19/0.45  
% 0.19/0.45  % ------ QBF Options
% 0.19/0.45  
% 0.19/0.45  % --qbf_mode                            false
% 0.19/0.45  % --qbf_elim_univ                       true
% 0.19/0.45  % --qbf_sk_in                           true
% 0.19/0.45  % --qbf_pred_elim                       true
% 0.19/0.45  % --qbf_split                           32
% 0.19/0.45  
% 0.19/0.45  % ------ BMC1 Options
% 0.19/0.45  
% 0.19/0.45  % --bmc1_incremental                    false
% 0.19/0.45  % --bmc1_axioms                         reachable_all
% 0.19/0.45  % --bmc1_min_bound                      0
% 0.19/0.45  % --bmc1_max_bound                      -1
% 0.19/0.45  % --bmc1_max_bound_default              -1
% 0.19/0.45  % --bmc1_symbol_reachability            true
% 0.19/0.45  % --bmc1_property_lemmas                false
% 0.19/0.45  % --bmc1_k_induction                    false
% 0.19/0.45  % --bmc1_non_equiv_states               false
% 0.19/0.45  % --bmc1_deadlock                       false
% 0.19/0.45  % --bmc1_ucm                            false
% 0.19/0.45  % --bmc1_add_unsat_core                 none
% 0.19/0.45  % --bmc1_unsat_core_children            false
% 0.19/0.45  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.45  % --bmc1_out_stat                       full
% 0.19/0.45  % --bmc1_ground_init                    false
% 0.19/0.45  % --bmc1_pre_inst_next_state            false
% 0.19/0.45  % --bmc1_pre_inst_state                 false
% 0.19/0.45  % --bmc1_pre_inst_reach_state           false
% 0.19/0.45  % --bmc1_out_unsat_core                 false
% 0.19/0.45  % --bmc1_aig_witness_out                false
% 0.19/0.45  % --bmc1_verbose                        false
% 0.19/0.45  % --bmc1_dump_clauses_tptp              false
% 0.19/0.45  % --bmc1_dump_unsat_core_tptp           false
% 0.19/0.45  % --bmc1_dump_file                      -
% 0.19/0.45  % --bmc1_ucm_expand_uc_limit            128
% 0.19/0.45  % --bmc1_ucm_n_expand_iterations        6
% 0.19/0.45  % --bmc1_ucm_extend_mode                1
% 0.19/0.45  % --bmc1_ucm_init_mode                  2
% 0.19/0.45  % --bmc1_ucm_cone_mode                  none
% 0.19/0.45  % --bmc1_ucm_reduced_relation_type      0
% 0.19/0.45  % --bmc1_ucm_relax_model                4
% 0.19/0.45  % --bmc1_ucm_full_tr_after_sat          true
% 0.19/0.45  % --bmc1_ucm_expand_neg_assumptions     false
% 0.19/0.45  % --bmc1_ucm_layered_model              none
% 0.19/0.45  % --bmc1_ucm_max_lemma_size             10
% 0.19/0.45  
% 0.19/0.45  % ------ AIG Options
% 0.19/0.45  
% 0.19/0.45  % --aig_mode                            false
% 0.19/0.45  
% 0.19/0.45  % ------ Instantiation Options
% 0.19/0.45  
% 0.19/0.45  % --instantiation_flag                  true
% 0.19/0.45  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.45  % --inst_solver_per_active              750
% 0.19/0.45  % --inst_solver_calls_frac              0.5
% 0.19/0.45  % --inst_passive_queue_type             priority_queues
% 0.19/0.45  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.45  % --inst_passive_queues_freq            [25;2]
% 0.19/0.45  % --inst_dismatching                    true
% 0.19/0.45  % --inst_eager_unprocessed_to_passive   true
% 3.14/3.35  % --inst_prop_sim_given                 true
% 3.14/3.35  % --inst_prop_sim_new                   false
% 3.14/3.35  % --inst_orphan_elimination             true
% 3.14/3.35  % --inst_learning_loop_flag             true
% 3.14/3.35  % --inst_learning_start                 3000
% 3.14/3.35  % --inst_learning_factor                2
% 3.14/3.35  % --inst_start_prop_sim_after_learn     3
% 3.14/3.35  % --inst_sel_renew                      solver
% 3.14/3.35  % --inst_lit_activity_flag              true
% 3.14/3.35  % --inst_out_proof                      true
% 3.14/3.35  
% 3.14/3.35  % ------ Resolution Options
% 3.14/3.35  
% 3.14/3.35  % --resolution_flag                     true
% 3.14/3.35  % --res_lit_sel                         kbo_max
% 3.14/3.35  % --res_to_prop_solver                  none
% 3.14/3.35  % --res_prop_simpl_new                  false
% 3.14/3.35  % --res_prop_simpl_given                false
% 3.14/3.35  % --res_passive_queue_type              priority_queues
% 3.14/3.35  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.14/3.35  % --res_passive_queues_freq             [15;5]
% 3.14/3.35  % --res_forward_subs                    full
% 3.14/3.35  % --res_backward_subs                   full
% 3.14/3.35  % --res_forward_subs_resolution         true
% 3.14/3.35  % --res_backward_subs_resolution        true
% 3.14/3.35  % --res_orphan_elimination              false
% 3.14/3.35  % --res_time_limit                      1000.
% 3.14/3.35  % --res_out_proof                       true
% 3.14/3.35  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_69834b.s
% 3.14/3.35  % --modulo                              true
% 3.14/3.35  
% 3.14/3.35  % ------ Combination Options
% 3.14/3.35  
% 3.14/3.35  % --comb_res_mult                       1000
% 3.14/3.35  % --comb_inst_mult                      300
% 3.14/3.35  % ------ 
% 3.14/3.35  
% 3.14/3.35  
% 3.14/3.35  
% 3.14/3.35  % ------ Proving...
% 3.14/3.35  % 
% 3.14/3.35  
% 3.14/3.35  
% 3.14/3.35  % ------                             Statistics
% 3.14/3.35  
% 3.14/3.35  % ------ General
% 3.14/3.35  
% 3.14/3.35  % num_of_input_clauses:                 144
% 3.14/3.35  % num_of_input_neg_conjectures:         7
% 3.14/3.35  % num_of_splits:                        20
% 3.14/3.35  % num_of_split_atoms:                   10
% 3.14/3.35  % num_of_sem_filtered_clauses:          0
% 3.14/3.35  % num_of_subtypes:                      0
% 3.14/3.35  % monotx_restored_types:                0
% 3.14/3.35  % sat_num_of_epr_types:                 0
% 3.14/3.35  % sat_num_of_non_cyclic_types:          0
% 3.14/3.35  % sat_guarded_non_collapsed_types:      0
% 3.14/3.35  % is_epr:                               0
% 3.14/3.35  % is_horn:                              0
% 3.14/3.35  % has_eq:                               0
% 3.14/3.35  % num_pure_diseq_elim:                  0
% 3.14/3.35  % simp_replaced_by:                     0
% 3.14/3.35  % res_preprocessed:                     169
% 3.14/3.35  % prep_upred:                           0
% 3.14/3.35  % prep_unflattend:                      0
% 3.14/3.35  % pred_elim_cands:                      10
% 3.14/3.35  % pred_elim:                            4
% 3.14/3.35  % pred_elim_cl:                         4
% 3.14/3.35  % pred_elim_cycles:                     10
% 3.14/3.35  % forced_gc_time:                       0
% 3.14/3.35  % gc_basic_clause_elim:                 0
% 3.14/3.35  % parsing_time:                         0.005
% 3.14/3.35  % sem_filter_time:                      0.
% 3.14/3.35  % pred_elim_time:                       0.004
% 3.14/3.35  % out_proof_time:                       0.008
% 3.14/3.35  % monotx_time:                          0.
% 3.14/3.35  % subtype_inf_time:                     0.
% 3.14/3.35  % unif_index_cands_time:                0.002
% 3.14/3.35  % unif_index_add_time:                  0.002
% 3.14/3.35  % total_time:                           2.936
% 3.14/3.35  % num_of_symbols:                       118
% 3.14/3.35  % num_of_terms:                         9801
% 3.14/3.35  
% 3.14/3.35  % ------ Propositional Solver
% 3.14/3.35  
% 3.14/3.35  % prop_solver_calls:                    23
% 3.14/3.35  % prop_fast_solver_calls:               1332
% 3.14/3.35  % prop_num_of_clauses:                  493
% 3.14/3.35  % prop_preprocess_simplified:           2531
% 3.14/3.35  % prop_fo_subsumed:                     0
% 3.14/3.35  % prop_solver_time:                     0.002
% 3.14/3.35  % prop_fast_solver_time:                0.
% 3.14/3.35  % prop_unsat_core_time:                 0.001
% 3.14/3.35  
% 3.14/3.35  % ------ QBF 
% 3.14/3.35  
% 3.14/3.35  % qbf_q_res:                            0
% 3.14/3.35  % qbf_num_tautologies:                  0
% 3.14/3.35  % qbf_prep_cycles:                      0
% 3.14/3.35  
% 3.14/3.35  % ------ BMC1
% 3.14/3.35  
% 3.14/3.35  % bmc1_current_bound:                   -1
% 3.14/3.35  % bmc1_last_solved_bound:               -1
% 3.14/3.35  % bmc1_unsat_core_size:                 -1
% 3.14/3.35  % bmc1_unsat_core_parents_size:         -1
% 3.14/3.35  % bmc1_merge_next_fun:                  0
% 3.14/3.35  % bmc1_unsat_core_clauses_time:         0.
% 3.14/3.35  
% 3.14/3.35  % ------ Instantiation
% 3.14/3.35  
% 3.14/3.35  % inst_num_of_clauses:                  279
% 3.14/3.35  % inst_num_in_passive:                  14
% 3.14/3.35  % inst_num_in_active:                   243
% 3.14/3.35  % inst_num_in_unprocessed:              1
% 3.14/3.35  % inst_num_of_loops:                    515
% 3.14/3.35  % inst_num_of_learning_restarts:        0
% 3.14/3.35  % inst_num_moves_active_passive:        229
% 3.14/3.35  % inst_lit_activity:                    70
% 3.14/3.35  % inst_lit_activity_moves:              0
% 3.14/3.35  % inst_num_tautologies:                 21
% 3.14/3.35  % inst_num_prop_implied:                0
% 3.14/3.35  % inst_num_existing_simplified:         0
% 3.14/3.35  % inst_num_eq_res_simplified:           0
% 3.14/3.35  % inst_num_child_elim:                  0
% 3.14/3.35  % inst_num_of_dismatching_blockings:    0
% 3.14/3.35  % inst_num_of_non_proper_insts:         132
% 3.14/3.35  % inst_num_of_duplicates:               55
% 3.14/3.35  % inst_inst_num_from_inst_to_res:       0
% 3.14/3.35  % inst_dismatching_checking_time:       0.
% 3.14/3.35  
% 3.14/3.35  % ------ Resolution
% 3.14/3.35  
% 3.14/3.35  % res_num_of_clauses:                   42269
% 3.14/3.35  % res_num_in_passive:                   40511
% 3.14/3.35  % res_num_in_active:                    1758
% 3.14/3.35  % res_num_of_loops:                     2000
% 3.14/3.35  % res_forward_subset_subsumed:          221
% 3.14/3.35  % res_backward_subset_subsumed:         0
% 3.14/3.35  % res_forward_subsumed:                 164
% 3.14/3.35  % res_backward_subsumed:                80
% 3.14/3.35  % res_forward_subsumption_resolution:   401
% 3.14/3.35  % res_backward_subsumption_resolution:  0
% 3.14/3.35  % res_clause_to_clause_subsumption:     30238
% 3.14/3.35  % res_orphan_elimination:               0
% 3.14/3.35  % res_tautology_del:                    2099
% 3.14/3.35  % res_num_eq_res_simplified:            0
% 3.14/3.35  % res_num_sel_changes:                  0
% 3.14/3.35  % res_moves_from_active_to_pass:        0
% 3.14/3.35  
% 3.14/3.35  % Status Unsatisfiable
% 3.14/3.35  % SZS status Theorem
% 3.14/3.35  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------