TSTP Solution File: LCL674+1.015 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : LCL674+1.015 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n008.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 11:38:11 EDT 2022

% Result   : Theorem 9.72s 9.89s
% Output   : CNFRefutation 9.72s
% 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)
                | p7(X2) )
          | ~ ( ! [X2] :
                  ( ~ r1(X1,X2)
                  | ( ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p16(X1)
                                  & ~ p116(X1)
                                  & p115(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p16(X1)
                                  & ~ p116(X1)
                                  & p115(X1) ) ) )
                      | ~ ( ~ p115(X2)
                          & p114(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p15(X1)
                                  & ~ p115(X1)
                                  & p114(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p15(X1)
                                  & ~ p115(X1)
                                  & p114(X1) ) ) )
                      | ~ ( ~ p114(X2)
                          & p113(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p14(X1)
                                  & ~ p114(X1)
                                  & p113(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p14(X1)
                                  & ~ p114(X1)
                                  & p113(X1) ) ) )
                      | ~ ( ~ p113(X2)
                          & p112(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p13(X1)
                                  & ~ p113(X1)
                                  & p112(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p13(X1)
                                  & ~ p113(X1)
                                  & p112(X1) ) ) )
                      | ~ ( ~ p112(X2)
                          & p111(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p12(X1)
                                  & ~ p112(X1)
                                  & p111(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p12(X1)
                                  & ~ p112(X1)
                                  & p111(X1) ) ) )
                      | ~ ( ~ p111(X2)
                          & p110(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p11(X1)
                                  & ~ p111(X1)
                                  & p110(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p11(X1)
                                  & ~ p111(X1)
                                  & p110(X1) ) ) )
                      | ~ ( ~ p110(X2)
                          & p109(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p10(X1)
                                  & ~ p110(X1)
                                  & p109(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p10(X1)
                                  & ~ p110(X1)
                                  & p109(X1) ) ) )
                      | ~ ( ~ p109(X2)
                          & p108(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p9(X1)
                                  & ~ p109(X1)
                                  & p108(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p9(X1)
                                  & ~ p109(X1)
                                  & p108(X1) ) ) )
                      | ~ ( ~ p108(X2)
                          & p107(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p8(X1)
                                  & ~ p108(X1)
                                  & p107(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p8(X1)
                                  & ~ p108(X1)
                                  & p107(X1) ) ) )
                      | ~ ( ~ p107(X2)
                          & p106(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p7(X1)
                                  & ~ p107(X1)
                                  & p106(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p7(X1)
                                  & ~ p107(X1)
                                  & p106(X1) ) ) )
                      | ~ ( ~ p106(X2)
                          & p105(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p6(X1)
                                  & ~ p106(X1)
                                  & p105(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p6(X1)
                                  & ~ p106(X1)
                                  & p105(X1) ) ) )
                      | ~ ( ~ p105(X2)
                          & p104(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p5(X1)
                                  & ~ p105(X1)
                                  & p104(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p5(X1)
                                  & ~ p105(X1)
                                  & p104(X1) ) ) )
                      | ~ ( ~ p104(X2)
                          & p103(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p4(X1)
                                  & ~ p104(X1)
                                  & p103(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p4(X1)
                                  & ~ p104(X1)
                                  & p103(X1) ) ) )
                      | ~ ( ~ p103(X2)
                          & p102(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p3(X1)
                                  & ~ p103(X1)
                                  & p102(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p3(X1)
                                  & ~ p103(X1)
                                  & p102(X1) ) ) )
                      | ~ ( ~ p102(X2)
                          & p101(X2) ) )
                    & ( ( ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( ~ p2(X1)
                                  & ~ p102(X1)
                                  & p101(X1) ) )
                        & ~ ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ ( p2(X1)
                                  & ~ p102(X1)
                                  & p101(X1) ) ) )
                      | ~ ( ~ p101(X2)
                          & p100(X2) ) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p16(X1)
                              | ~ p115(X1) )
                          | p16(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p16(X1)
                              | ~ p115(X1) )
                          | ~ p16(X2) ) )
                      | ~ p115(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p15(X1)
                              | ~ p114(X1) )
                          | p15(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p15(X1)
                              | ~ p114(X1) )
                          | ~ p15(X2) ) )
                      | ~ p114(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p14(X1)
                              | ~ p113(X1) )
                          | p14(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p14(X1)
                              | ~ p113(X1) )
                          | ~ p14(X2) ) )
                      | ~ p113(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p13(X1)
                              | ~ p112(X1) )
                          | p13(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p13(X1)
                              | ~ p112(X1) )
                          | ~ p13(X2) ) )
                      | ~ p112(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p12(X1)
                              | ~ p111(X1) )
                          | p12(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p12(X1)
                              | ~ p111(X1) )
                          | ~ p12(X2) ) )
                      | ~ p111(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p11(X1)
                              | ~ p110(X1) )
                          | p11(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p11(X1)
                              | ~ p110(X1) )
                          | ~ p11(X2) ) )
                      | ~ p110(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p10(X1)
                              | ~ p109(X1) )
                          | p10(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p10(X1)
                              | ~ p109(X1) )
                          | ~ p10(X2) ) )
                      | ~ p109(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p9(X1)
                              | ~ p108(X1) )
                          | p9(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p9(X1)
                              | ~ p108(X1) )
                          | ~ p9(X2) ) )
                      | ~ p108(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p8(X1)
                              | ~ p107(X1) )
                          | p8(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p8(X1)
                              | ~ p107(X1) )
                          | ~ p8(X2) ) )
                      | ~ p107(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p7(X1)
                              | ~ p106(X1) )
                          | p7(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p7(X1)
                              | ~ p106(X1) )
                          | ~ p7(X2) ) )
                      | ~ p106(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p6(X1)
                              | ~ p105(X1) )
                          | p6(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p6(X1)
                              | ~ p105(X1) )
                          | ~ p6(X2) ) )
                      | ~ p105(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p5(X1)
                              | ~ p104(X1) )
                          | p5(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p5(X1)
                              | ~ p104(X1) )
                          | ~ p5(X2) ) )
                      | ~ p104(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p4(X1)
                              | ~ p103(X1) )
                          | p4(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p4(X1)
                              | ~ p103(X1) )
                          | ~ p4(X2) ) )
                      | ~ p103(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p3(X1)
                              | ~ p102(X1) )
                          | p3(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p3(X1)
                              | ~ p102(X1) )
                          | ~ p3(X2) ) )
                      | ~ p102(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p2(X1)
                              | ~ p101(X1) )
                          | p2(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p2(X1)
                              | ~ p101(X1) )
                          | ~ p2(X2) ) )
                      | ~ p101(X2) )
                    & ( ( ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | ~ p1(X1)
                              | ~ p100(X1) )
                          | p1(X2) )
                        & ( ! [X1] :
                              ( ~ r1(X2,X1)
                              | p1(X1)
                              | ~ p100(X1) )
                          | ~ p1(X2) ) )
                      | ~ p100(X2) )
                    & ( p115(X2)
                      | ~ p116(X2) )
                    & ( p114(X2)
                      | ~ p115(X2) )
                    & ( p113(X2)
                      | ~ p114(X2) )
                    & ( p112(X2)
                      | ~ p113(X2) )
                    & ( p111(X2)
                      | ~ p112(X2) )
                    & ( p110(X2)
                      | ~ p111(X2) )
                    & ( p109(X2)
                      | ~ p110(X2) )
                    & ( p108(X2)
                      | ~ p109(X2) )
                    & ( p107(X2)
                      | ~ p108(X2) )
                    & ( p106(X2)
                      | ~ p107(X2) )
                    & ( p105(X2)
                      | ~ p106(X2) )
                    & ( p104(X2)
                      | ~ p105(X2) )
                    & ( p103(X2)
                      | ~ p104(X2) )
                    & ( p102(X2)
                      | ~ p103(X2) )
                    & ( p101(X2)
                      | ~ p102(X2) )
                    & ( p100(X2)
                      | ~ p101(X2) ) ) )
              & ~ p101(X1)
              & p100(X1) ) ),
    file('<stdin>',main) ).

fof(c_0_1_002,plain,
    ! [X2] :
      ( epred1_1(X2)
    <=> ( ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p16(X1)
                      & ~ p116(X1)
                      & p115(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p16(X1)
                      & ~ p116(X1)
                      & p115(X1) ) ) )
          | ~ ( ~ p115(X2)
              & p114(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p15(X1)
                      & ~ p115(X1)
                      & p114(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p15(X1)
                      & ~ p115(X1)
                      & p114(X1) ) ) )
          | ~ ( ~ p114(X2)
              & p113(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p14(X1)
                      & ~ p114(X1)
                      & p113(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p14(X1)
                      & ~ p114(X1)
                      & p113(X1) ) ) )
          | ~ ( ~ p113(X2)
              & p112(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p13(X1)
                      & ~ p113(X1)
                      & p112(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p13(X1)
                      & ~ p113(X1)
                      & p112(X1) ) ) )
          | ~ ( ~ p112(X2)
              & p111(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p12(X1)
                      & ~ p112(X1)
                      & p111(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p12(X1)
                      & ~ p112(X1)
                      & p111(X1) ) ) )
          | ~ ( ~ p111(X2)
              & p110(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p11(X1)
                      & ~ p111(X1)
                      & p110(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p11(X1)
                      & ~ p111(X1)
                      & p110(X1) ) ) )
          | ~ ( ~ p110(X2)
              & p109(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p10(X1)
                      & ~ p110(X1)
                      & p109(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p10(X1)
                      & ~ p110(X1)
                      & p109(X1) ) ) )
          | ~ ( ~ p109(X2)
              & p108(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p9(X1)
                      & ~ p109(X1)
                      & p108(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p9(X1)
                      & ~ p109(X1)
                      & p108(X1) ) ) )
          | ~ ( ~ p108(X2)
              & p107(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p8(X1)
                      & ~ p108(X1)
                      & p107(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p8(X1)
                      & ~ p108(X1)
                      & p107(X1) ) ) )
          | ~ ( ~ p107(X2)
              & p106(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p7(X1)
                      & ~ p107(X1)
                      & p106(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p7(X1)
                      & ~ p107(X1)
                      & p106(X1) ) ) )
          | ~ ( ~ p106(X2)
              & p105(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p6(X1)
                      & ~ p106(X1)
                      & p105(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p6(X1)
                      & ~ p106(X1)
                      & p105(X1) ) ) )
          | ~ ( ~ p105(X2)
              & p104(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p5(X1)
                      & ~ p105(X1)
                      & p104(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p5(X1)
                      & ~ p105(X1)
                      & p104(X1) ) ) )
          | ~ ( ~ p104(X2)
              & p103(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p4(X1)
                      & ~ p104(X1)
                      & p103(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p4(X1)
                      & ~ p104(X1)
                      & p103(X1) ) ) )
          | ~ ( ~ p103(X2)
              & p102(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p3(X1)
                      & ~ p103(X1)
                      & p102(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p3(X1)
                      & ~ p103(X1)
                      & p102(X1) ) ) )
          | ~ ( ~ p102(X2)
              & p101(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p2(X1)
                      & ~ p102(X1)
                      & p101(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p2(X1)
                      & ~ p102(X1)
                      & p101(X1) ) ) )
          | ~ ( ~ p101(X2)
              & p100(X2) ) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p16(X1)
                  | ~ p115(X1) )
              | p16(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p16(X1)
                  | ~ p115(X1) )
              | ~ p16(X2) ) )
          | ~ p115(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p15(X1)
                  | ~ p114(X1) )
              | p15(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p15(X1)
                  | ~ p114(X1) )
              | ~ p15(X2) ) )
          | ~ p114(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p14(X1)
                  | ~ p113(X1) )
              | p14(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p14(X1)
                  | ~ p113(X1) )
              | ~ p14(X2) ) )
          | ~ p113(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p13(X1)
                  | ~ p112(X1) )
              | p13(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p13(X1)
                  | ~ p112(X1) )
              | ~ p13(X2) ) )
          | ~ p112(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p12(X1)
                  | ~ p111(X1) )
              | p12(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p12(X1)
                  | ~ p111(X1) )
              | ~ p12(X2) ) )
          | ~ p111(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p11(X1)
                  | ~ p110(X1) )
              | p11(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p11(X1)
                  | ~ p110(X1) )
              | ~ p11(X2) ) )
          | ~ p110(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p10(X1)
                  | ~ p109(X1) )
              | p10(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p10(X1)
                  | ~ p109(X1) )
              | ~ p10(X2) ) )
          | ~ p109(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p9(X1)
                  | ~ p108(X1) )
              | p9(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p9(X1)
                  | ~ p108(X1) )
              | ~ p9(X2) ) )
          | ~ p108(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p8(X1)
                  | ~ p107(X1) )
              | p8(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p8(X1)
                  | ~ p107(X1) )
              | ~ p8(X2) ) )
          | ~ p107(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p7(X1)
                  | ~ p106(X1) )
              | p7(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p7(X1)
                  | ~ p106(X1) )
              | ~ p7(X2) ) )
          | ~ p106(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p6(X1)
                  | ~ p105(X1) )
              | p6(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p6(X1)
                  | ~ p105(X1) )
              | ~ p6(X2) ) )
          | ~ p105(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p5(X1)
                  | ~ p104(X1) )
              | p5(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p5(X1)
                  | ~ p104(X1) )
              | ~ p5(X2) ) )
          | ~ p104(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p4(X1)
                  | ~ p103(X1) )
              | p4(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p4(X1)
                  | ~ p103(X1) )
              | ~ p4(X2) ) )
          | ~ p103(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p3(X1)
                  | ~ p102(X1) )
              | p3(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p3(X1)
                  | ~ p102(X1) )
              | ~ p3(X2) ) )
          | ~ p102(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p2(X1)
                  | ~ p101(X1) )
              | p2(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p2(X1)
                  | ~ p101(X1) )
              | ~ p2(X2) ) )
          | ~ p101(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p1(X1)
                  | ~ p100(X1) )
              | p1(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p1(X1)
                  | ~ p100(X1) )
              | ~ p1(X2) ) )
          | ~ p100(X2) )
        & ( p115(X2)
          | ~ p116(X2) )
        & ( p114(X2)
          | ~ p115(X2) )
        & ( p113(X2)
          | ~ p114(X2) )
        & ( p112(X2)
          | ~ p113(X2) )
        & ( p111(X2)
          | ~ p112(X2) )
        & ( p110(X2)
          | ~ p111(X2) )
        & ( p109(X2)
          | ~ p110(X2) )
        & ( p108(X2)
          | ~ p109(X2) )
        & ( p107(X2)
          | ~ p108(X2) )
        & ( p106(X2)
          | ~ p107(X2) )
        & ( p105(X2)
          | ~ p106(X2) )
        & ( p104(X2)
          | ~ p105(X2) )
        & ( p103(X2)
          | ~ p104(X2) )
        & ( p102(X2)
          | ~ p103(X2) )
        & ( p101(X2)
          | ~ p102(X2) )
        & ( p100(X2)
          | ~ p101(X2) ) ) ),
    introduced(definition) ).

fof(c_0_2_003,plain,
    ! [X2] :
      ( epred1_1(X2)
     => ( ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p16(X1)
                      & ~ p116(X1)
                      & p115(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p16(X1)
                      & ~ p116(X1)
                      & p115(X1) ) ) )
          | ~ ( ~ p115(X2)
              & p114(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p15(X1)
                      & ~ p115(X1)
                      & p114(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p15(X1)
                      & ~ p115(X1)
                      & p114(X1) ) ) )
          | ~ ( ~ p114(X2)
              & p113(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p14(X1)
                      & ~ p114(X1)
                      & p113(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p14(X1)
                      & ~ p114(X1)
                      & p113(X1) ) ) )
          | ~ ( ~ p113(X2)
              & p112(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p13(X1)
                      & ~ p113(X1)
                      & p112(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p13(X1)
                      & ~ p113(X1)
                      & p112(X1) ) ) )
          | ~ ( ~ p112(X2)
              & p111(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p12(X1)
                      & ~ p112(X1)
                      & p111(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p12(X1)
                      & ~ p112(X1)
                      & p111(X1) ) ) )
          | ~ ( ~ p111(X2)
              & p110(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p11(X1)
                      & ~ p111(X1)
                      & p110(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p11(X1)
                      & ~ p111(X1)
                      & p110(X1) ) ) )
          | ~ ( ~ p110(X2)
              & p109(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p10(X1)
                      & ~ p110(X1)
                      & p109(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p10(X1)
                      & ~ p110(X1)
                      & p109(X1) ) ) )
          | ~ ( ~ p109(X2)
              & p108(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p9(X1)
                      & ~ p109(X1)
                      & p108(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p9(X1)
                      & ~ p109(X1)
                      & p108(X1) ) ) )
          | ~ ( ~ p108(X2)
              & p107(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p8(X1)
                      & ~ p108(X1)
                      & p107(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p8(X1)
                      & ~ p108(X1)
                      & p107(X1) ) ) )
          | ~ ( ~ p107(X2)
              & p106(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p7(X1)
                      & ~ p107(X1)
                      & p106(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p7(X1)
                      & ~ p107(X1)
                      & p106(X1) ) ) )
          | ~ ( ~ p106(X2)
              & p105(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p6(X1)
                      & ~ p106(X1)
                      & p105(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p6(X1)
                      & ~ p106(X1)
                      & p105(X1) ) ) )
          | ~ ( ~ p105(X2)
              & p104(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p5(X1)
                      & ~ p105(X1)
                      & p104(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p5(X1)
                      & ~ p105(X1)
                      & p104(X1) ) ) )
          | ~ ( ~ p104(X2)
              & p103(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p4(X1)
                      & ~ p104(X1)
                      & p103(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p4(X1)
                      & ~ p104(X1)
                      & p103(X1) ) ) )
          | ~ ( ~ p103(X2)
              & p102(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p3(X1)
                      & ~ p103(X1)
                      & p102(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p3(X1)
                      & ~ p103(X1)
                      & p102(X1) ) ) )
          | ~ ( ~ p102(X2)
              & p101(X2) ) )
        & ( ( ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ~ p2(X1)
                      & ~ p102(X1)
                      & p101(X1) ) )
            & ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( p2(X1)
                      & ~ p102(X1)
                      & p101(X1) ) ) )
          | ~ ( ~ p101(X2)
              & p100(X2) ) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p16(X1)
                  | ~ p115(X1) )
              | p16(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p16(X1)
                  | ~ p115(X1) )
              | ~ p16(X2) ) )
          | ~ p115(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p15(X1)
                  | ~ p114(X1) )
              | p15(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p15(X1)
                  | ~ p114(X1) )
              | ~ p15(X2) ) )
          | ~ p114(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p14(X1)
                  | ~ p113(X1) )
              | p14(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p14(X1)
                  | ~ p113(X1) )
              | ~ p14(X2) ) )
          | ~ p113(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p13(X1)
                  | ~ p112(X1) )
              | p13(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p13(X1)
                  | ~ p112(X1) )
              | ~ p13(X2) ) )
          | ~ p112(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p12(X1)
                  | ~ p111(X1) )
              | p12(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p12(X1)
                  | ~ p111(X1) )
              | ~ p12(X2) ) )
          | ~ p111(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p11(X1)
                  | ~ p110(X1) )
              | p11(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p11(X1)
                  | ~ p110(X1) )
              | ~ p11(X2) ) )
          | ~ p110(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p10(X1)
                  | ~ p109(X1) )
              | p10(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p10(X1)
                  | ~ p109(X1) )
              | ~ p10(X2) ) )
          | ~ p109(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p9(X1)
                  | ~ p108(X1) )
              | p9(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p9(X1)
                  | ~ p108(X1) )
              | ~ p9(X2) ) )
          | ~ p108(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p8(X1)
                  | ~ p107(X1) )
              | p8(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p8(X1)
                  | ~ p107(X1) )
              | ~ p8(X2) ) )
          | ~ p107(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p7(X1)
                  | ~ p106(X1) )
              | p7(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p7(X1)
                  | ~ p106(X1) )
              | ~ p7(X2) ) )
          | ~ p106(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p6(X1)
                  | ~ p105(X1) )
              | p6(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p6(X1)
                  | ~ p105(X1) )
              | ~ p6(X2) ) )
          | ~ p105(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p5(X1)
                  | ~ p104(X1) )
              | p5(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p5(X1)
                  | ~ p104(X1) )
              | ~ p5(X2) ) )
          | ~ p104(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p4(X1)
                  | ~ p103(X1) )
              | p4(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p4(X1)
                  | ~ p103(X1) )
              | ~ p4(X2) ) )
          | ~ p103(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p3(X1)
                  | ~ p102(X1) )
              | p3(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p3(X1)
                  | ~ p102(X1) )
              | ~ p3(X2) ) )
          | ~ p102(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p2(X1)
                  | ~ p101(X1) )
              | p2(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p2(X1)
                  | ~ p101(X1) )
              | ~ p2(X2) ) )
          | ~ p101(X2) )
        & ( ( ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p1(X1)
                  | ~ p100(X1) )
              | p1(X2) )
            & ( ! [X1] :
                  ( ~ r1(X2,X1)
                  | p1(X1)
                  | ~ p100(X1) )
              | ~ p1(X2) ) )
          | ~ p100(X2) )
        & ( p115(X2)
          | ~ p116(X2) )
        & ( p114(X2)
          | ~ p115(X2) )
        & ( p113(X2)
          | ~ p114(X2) )
        & ( p112(X2)
          | ~ p113(X2) )
        & ( p111(X2)
          | ~ p112(X2) )
        & ( p110(X2)
          | ~ p111(X2) )
        & ( p109(X2)
          | ~ p110(X2) )
        & ( p108(X2)
          | ~ p109(X2) )
        & ( p107(X2)
          | ~ p108(X2) )
        & ( p106(X2)
          | ~ p107(X2) )
        & ( p105(X2)
          | ~ p106(X2) )
        & ( p104(X2)
          | ~ p105(X2) )
        & ( p103(X2)
          | ~ p104(X2) )
        & ( p102(X2)
          | ~ p103(X2) )
        & ( p101(X2)
          | ~ p102(X2) )
        & ( p100(X2)
          | ~ p101(X2) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_1]) ).

fof(c_0_3_004,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | p7(X2) )
            | ~ ( ! [X2] :
                    ( ~ r1(X1,X2)
                    | epred1_1(X2) )
                & ~ p101(X1)
                & p100(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,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65] :
      ( ( r1(X3,esk2_1(X3))
        | p115(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( ~ p16(esk2_1(X3))
        | p115(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( ~ p116(esk2_1(X3))
        | p115(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( p115(esk2_1(X3))
        | p115(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk3_1(X3))
        | p115(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( p16(esk3_1(X3))
        | p115(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( ~ p116(esk3_1(X3))
        | p115(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( p115(esk3_1(X3))
        | p115(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk4_1(X3))
        | p114(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( ~ p15(esk4_1(X3))
        | p114(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( ~ p115(esk4_1(X3))
        | p114(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( p114(esk4_1(X3))
        | p114(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk5_1(X3))
        | p114(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( p15(esk5_1(X3))
        | p114(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( ~ p115(esk5_1(X3))
        | p114(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( p114(esk5_1(X3))
        | p114(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk6_1(X3))
        | p113(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( ~ p14(esk6_1(X3))
        | p113(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( ~ p114(esk6_1(X3))
        | p113(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( p113(esk6_1(X3))
        | p113(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk7_1(X3))
        | p113(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( p14(esk7_1(X3))
        | p113(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( ~ p114(esk7_1(X3))
        | p113(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( p113(esk7_1(X3))
        | p113(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk8_1(X3))
        | p112(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( ~ p13(esk8_1(X3))
        | p112(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( ~ p113(esk8_1(X3))
        | p112(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( p112(esk8_1(X3))
        | p112(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk9_1(X3))
        | p112(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( p13(esk9_1(X3))
        | p112(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( ~ p113(esk9_1(X3))
        | p112(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( p112(esk9_1(X3))
        | p112(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk10_1(X3))
        | p111(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( ~ p12(esk10_1(X3))
        | p111(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( ~ p112(esk10_1(X3))
        | p111(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( p111(esk10_1(X3))
        | p111(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk11_1(X3))
        | p111(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( p12(esk11_1(X3))
        | p111(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( ~ p112(esk11_1(X3))
        | p111(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( p111(esk11_1(X3))
        | p111(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk12_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( ~ p11(esk12_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( ~ p111(esk12_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( p110(esk12_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk13_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( p11(esk13_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( ~ p111(esk13_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( p110(esk13_1(X3))
        | p110(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk14_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( ~ p10(esk14_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( ~ p110(esk14_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( p109(esk14_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk15_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( p10(esk15_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( ~ p110(esk15_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( p109(esk15_1(X3))
        | p109(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk16_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( ~ p9(esk16_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( ~ p109(esk16_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( p108(esk16_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk17_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( p9(esk17_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( ~ p109(esk17_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( p108(esk17_1(X3))
        | p108(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk18_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( ~ p8(esk18_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( ~ p108(esk18_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( p107(esk18_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk19_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( p8(esk19_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( ~ p108(esk19_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( p107(esk19_1(X3))
        | p107(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk20_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( ~ p7(esk20_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( ~ p107(esk20_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( p106(esk20_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk21_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( p7(esk21_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( ~ p107(esk21_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( p106(esk21_1(X3))
        | p106(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk22_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( ~ p6(esk22_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( ~ p106(esk22_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( p105(esk22_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk23_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( p6(esk23_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( ~ p106(esk23_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( p105(esk23_1(X3))
        | p105(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk24_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( ~ p5(esk24_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( ~ p105(esk24_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( p104(esk24_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk25_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( p5(esk25_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( ~ p105(esk25_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( p104(esk25_1(X3))
        | p104(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk26_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( ~ p4(esk26_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( ~ p104(esk26_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( p103(esk26_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk27_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( p4(esk27_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( ~ p104(esk27_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( p103(esk27_1(X3))
        | p103(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk28_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( ~ p3(esk28_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( ~ p103(esk28_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( p102(esk28_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk29_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( p3(esk29_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( ~ p103(esk29_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( p102(esk29_1(X3))
        | p102(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk30_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( ~ p2(esk30_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( ~ p102(esk30_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( p101(esk30_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk31_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( p2(esk31_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( ~ p102(esk31_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( p101(esk31_1(X3))
        | p101(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X34)
        | ~ p16(X34)
        | ~ p115(X34)
        | p16(X3)
        | ~ p115(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X35)
        | p16(X35)
        | ~ p115(X35)
        | ~ p16(X3)
        | ~ p115(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X36)
        | ~ p15(X36)
        | ~ p114(X36)
        | p15(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X37)
        | p15(X37)
        | ~ p114(X37)
        | ~ p15(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X38)
        | ~ p14(X38)
        | ~ p113(X38)
        | p14(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X39)
        | p14(X39)
        | ~ p113(X39)
        | ~ p14(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X40)
        | ~ p13(X40)
        | ~ p112(X40)
        | p13(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X41)
        | p13(X41)
        | ~ p112(X41)
        | ~ p13(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X42)
        | ~ p12(X42)
        | ~ p111(X42)
        | p12(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X43)
        | p12(X43)
        | ~ p111(X43)
        | ~ p12(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X44)
        | ~ p11(X44)
        | ~ p110(X44)
        | p11(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X45)
        | p11(X45)
        | ~ p110(X45)
        | ~ p11(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X46)
        | ~ p10(X46)
        | ~ p109(X46)
        | p10(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X47)
        | p10(X47)
        | ~ p109(X47)
        | ~ p10(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X48)
        | ~ p9(X48)
        | ~ p108(X48)
        | p9(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X49)
        | p9(X49)
        | ~ p108(X49)
        | ~ p9(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X50)
        | ~ p8(X50)
        | ~ p107(X50)
        | p8(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X51)
        | p8(X51)
        | ~ p107(X51)
        | ~ p8(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X52)
        | ~ p7(X52)
        | ~ p106(X52)
        | p7(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X53)
        | p7(X53)
        | ~ p106(X53)
        | ~ p7(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X54)
        | ~ p6(X54)
        | ~ p105(X54)
        | p6(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X55)
        | p6(X55)
        | ~ p105(X55)
        | ~ p6(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X56)
        | ~ p5(X56)
        | ~ p104(X56)
        | p5(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X57)
        | p5(X57)
        | ~ p104(X57)
        | ~ p5(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X58)
        | ~ p4(X58)
        | ~ p103(X58)
        | p4(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X59)
        | p4(X59)
        | ~ p103(X59)
        | ~ p4(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X60)
        | ~ p3(X60)
        | ~ p102(X60)
        | p3(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X61)
        | p3(X61)
        | ~ p102(X61)
        | ~ p3(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X62)
        | ~ p2(X62)
        | ~ p101(X62)
        | p2(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X63)
        | p2(X63)
        | ~ p101(X63)
        | ~ p2(X3)
        | ~ p101(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X64)
        | ~ p1(X64)
        | ~ p100(X64)
        | p1(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( ~ r1(X3,X65)
        | p1(X65)
        | ~ p100(X65)
        | ~ p1(X3)
        | ~ p100(X3)
        | ~ epred1_1(X3) )
      & ( p115(X3)
        | ~ p116(X3)
        | ~ epred1_1(X3) )
      & ( p114(X3)
        | ~ p115(X3)
        | ~ epred1_1(X3) )
      & ( p113(X3)
        | ~ p114(X3)
        | ~ epred1_1(X3) )
      & ( p112(X3)
        | ~ p113(X3)
        | ~ epred1_1(X3) )
      & ( p111(X3)
        | ~ p112(X3)
        | ~ epred1_1(X3) )
      & ( p110(X3)
        | ~ p111(X3)
        | ~ epred1_1(X3) )
      & ( p109(X3)
        | ~ p110(X3)
        | ~ epred1_1(X3) )
      & ( p108(X3)
        | ~ p109(X3)
        | ~ epred1_1(X3) )
      & ( p107(X3)
        | ~ p108(X3)
        | ~ epred1_1(X3) )
      & ( p106(X3)
        | ~ p107(X3)
        | ~ epred1_1(X3) )
      & ( p105(X3)
        | ~ p106(X3)
        | ~ epred1_1(X3) )
      & ( p104(X3)
        | ~ p105(X3)
        | ~ epred1_1(X3) )
      & ( p103(X3)
        | ~ p104(X3)
        | ~ epred1_1(X3) )
      & ( p102(X3)
        | ~ p103(X3)
        | ~ epred1_1(X3) )
      & ( p101(X3)
        | ~ p102(X3)
        | ~ epred1_1(X3) )
      & ( p100(X3)
        | ~ p101(X3)
        | ~ 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] :
      ( ( ~ r1(esk1_0,X4)
        | p7(X4) )
      & ( ~ r1(esk1_0,X5)
        | epred1_1(X5) )
      & ~ p101(esk1_0)
      & p100(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,
    ( p16(X1)
    | ~ epred1_1(X1)
    | ~ p115(X1)
    | ~ p115(X2)
    | ~ p16(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7_008,plain,
    ( p16(X2)
    | ~ epred1_1(X1)
    | ~ p115(X1)
    | ~ p16(X1)
    | ~ p115(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8_009,plain,
    ( p15(X1)
    | ~ epred1_1(X1)
    | ~ p114(X1)
    | ~ p114(X2)
    | ~ p15(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9_010,plain,
    ( p15(X2)
    | ~ epred1_1(X1)
    | ~ p114(X1)
    | ~ p15(X1)
    | ~ p114(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,plain,
    ( p14(X1)
    | ~ epred1_1(X1)
    | ~ p113(X1)
    | ~ p113(X2)
    | ~ p14(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_11,plain,
    ( p14(X2)
    | ~ epred1_1(X1)
    | ~ p113(X1)
    | ~ p14(X1)
    | ~ p113(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_12,plain,
    ( p13(X1)
    | ~ epred1_1(X1)
    | ~ p112(X1)
    | ~ p112(X2)
    | ~ p13(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_13,plain,
    ( p13(X2)
    | ~ epred1_1(X1)
    | ~ p112(X1)
    | ~ p13(X1)
    | ~ p112(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_14,plain,
    ( p12(X1)
    | ~ epred1_1(X1)
    | ~ p111(X1)
    | ~ p111(X2)
    | ~ p12(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_15,plain,
    ( p12(X2)
    | ~ epred1_1(X1)
    | ~ p111(X1)
    | ~ p12(X1)
    | ~ p111(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_16,plain,
    ( p11(X1)
    | ~ epred1_1(X1)
    | ~ p110(X1)
    | ~ p110(X2)
    | ~ p11(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_17,plain,
    ( p11(X2)
    | ~ epred1_1(X1)
    | ~ p110(X1)
    | ~ p11(X1)
    | ~ p110(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_18,plain,
    ( p10(X1)
    | ~ epred1_1(X1)
    | ~ p109(X1)
    | ~ p109(X2)
    | ~ p10(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_19,plain,
    ( p10(X2)
    | ~ epred1_1(X1)
    | ~ p109(X1)
    | ~ p10(X1)
    | ~ p109(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_20,plain,
    ( p9(X1)
    | ~ epred1_1(X1)
    | ~ p108(X1)
    | ~ p108(X2)
    | ~ p9(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_21,plain,
    ( p9(X2)
    | ~ epred1_1(X1)
    | ~ p108(X1)
    | ~ p9(X1)
    | ~ p108(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_22,plain,
    ( p8(X1)
    | ~ epred1_1(X1)
    | ~ p107(X1)
    | ~ p107(X2)
    | ~ p8(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_23,plain,
    ( p8(X2)
    | ~ epred1_1(X1)
    | ~ p107(X1)
    | ~ p8(X1)
    | ~ p107(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_24,plain,
    ( p7(X1)
    | ~ epred1_1(X1)
    | ~ p106(X1)
    | ~ p106(X2)
    | ~ p7(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_25,plain,
    ( p7(X2)
    | ~ epred1_1(X1)
    | ~ p106(X1)
    | ~ p7(X1)
    | ~ p106(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_26,plain,
    ( p6(X1)
    | ~ epred1_1(X1)
    | ~ p105(X1)
    | ~ p105(X2)
    | ~ p6(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_27,plain,
    ( p6(X2)
    | ~ epred1_1(X1)
    | ~ p105(X1)
    | ~ p6(X1)
    | ~ p105(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_28,plain,
    ( p5(X1)
    | ~ epred1_1(X1)
    | ~ p104(X1)
    | ~ p104(X2)
    | ~ p5(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_29,plain,
    ( p5(X2)
    | ~ epred1_1(X1)
    | ~ p104(X1)
    | ~ p5(X1)
    | ~ p104(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_30,plain,
    ( p4(X1)
    | ~ epred1_1(X1)
    | ~ p103(X1)
    | ~ p103(X2)
    | ~ p4(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_31,plain,
    ( p4(X2)
    | ~ epred1_1(X1)
    | ~ p103(X1)
    | ~ p4(X1)
    | ~ p103(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_32,plain,
    ( p3(X1)
    | ~ epred1_1(X1)
    | ~ p102(X1)
    | ~ p102(X2)
    | ~ p3(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_33,plain,
    ( p3(X2)
    | ~ epred1_1(X1)
    | ~ p102(X1)
    | ~ p3(X1)
    | ~ p102(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_34,plain,
    ( p2(X1)
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ p101(X2)
    | ~ p2(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_35,plain,
    ( p2(X2)
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ p2(X1)
    | ~ p101(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_36,plain,
    ( p1(X1)
    | ~ epred1_1(X1)
    | ~ p100(X1)
    | ~ p100(X2)
    | ~ p1(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_37,plain,
    ( p1(X2)
    | ~ epred1_1(X1)
    | ~ p100(X1)
    | ~ p1(X1)
    | ~ p100(X2)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_38,plain,
    ( p115(X1)
    | r1(X1,esk2_1(X1))
    | ~ epred1_1(X1)
    | ~ p114(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_39,plain,
    ( p115(X1)
    | r1(X1,esk3_1(X1))
    | ~ epred1_1(X1)
    | ~ p114(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_40,plain,
    ( p114(X1)
    | r1(X1,esk4_1(X1))
    | ~ epred1_1(X1)
    | ~ p113(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_41,plain,
    ( p114(X1)
    | r1(X1,esk5_1(X1))
    | ~ epred1_1(X1)
    | ~ p113(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_42,plain,
    ( p113(X1)
    | r1(X1,esk6_1(X1))
    | ~ epred1_1(X1)
    | ~ p112(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_43,plain,
    ( p113(X1)
    | r1(X1,esk7_1(X1))
    | ~ epred1_1(X1)
    | ~ p112(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_44,plain,
    ( p112(X1)
    | r1(X1,esk8_1(X1))
    | ~ epred1_1(X1)
    | ~ p111(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_45,plain,
    ( p112(X1)
    | r1(X1,esk9_1(X1))
    | ~ epred1_1(X1)
    | ~ p111(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_46,plain,
    ( p111(X1)
    | r1(X1,esk10_1(X1))
    | ~ epred1_1(X1)
    | ~ p110(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_47,plain,
    ( p111(X1)
    | r1(X1,esk11_1(X1))
    | ~ epred1_1(X1)
    | ~ p110(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_48,plain,
    ( p110(X1)
    | r1(X1,esk12_1(X1))
    | ~ epred1_1(X1)
    | ~ p109(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_49,plain,
    ( p110(X1)
    | r1(X1,esk13_1(X1))
    | ~ epred1_1(X1)
    | ~ p109(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_50,plain,
    ( p109(X1)
    | r1(X1,esk14_1(X1))
    | ~ epred1_1(X1)
    | ~ p108(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_51,plain,
    ( p109(X1)
    | r1(X1,esk15_1(X1))
    | ~ epred1_1(X1)
    | ~ p108(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_52,plain,
    ( p108(X1)
    | r1(X1,esk16_1(X1))
    | ~ epred1_1(X1)
    | ~ p107(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_53,plain,
    ( p108(X1)
    | r1(X1,esk17_1(X1))
    | ~ epred1_1(X1)
    | ~ p107(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_54,plain,
    ( p107(X1)
    | r1(X1,esk18_1(X1))
    | ~ epred1_1(X1)
    | ~ p106(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_55,plain,
    ( p107(X1)
    | r1(X1,esk19_1(X1))
    | ~ epred1_1(X1)
    | ~ p106(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_56,plain,
    ( p106(X1)
    | r1(X1,esk20_1(X1))
    | ~ epred1_1(X1)
    | ~ p105(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_57,plain,
    ( p106(X1)
    | r1(X1,esk21_1(X1))
    | ~ epred1_1(X1)
    | ~ p105(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_58,plain,
    ( p105(X1)
    | r1(X1,esk22_1(X1))
    | ~ epred1_1(X1)
    | ~ p104(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_59,plain,
    ( p105(X1)
    | r1(X1,esk23_1(X1))
    | ~ epred1_1(X1)
    | ~ p104(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_60,plain,
    ( p104(X1)
    | r1(X1,esk24_1(X1))
    | ~ epred1_1(X1)
    | ~ p103(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_61,plain,
    ( p104(X1)
    | r1(X1,esk25_1(X1))
    | ~ epred1_1(X1)
    | ~ p103(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_62,plain,
    ( p103(X1)
    | r1(X1,esk26_1(X1))
    | ~ epred1_1(X1)
    | ~ p102(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_63,plain,
    ( p103(X1)
    | r1(X1,esk27_1(X1))
    | ~ epred1_1(X1)
    | ~ p102(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_64,plain,
    ( p102(X1)
    | r1(X1,esk28_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_65,plain,
    ( p102(X1)
    | r1(X1,esk29_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_66,plain,
    ( p101(X1)
    | r1(X1,esk30_1(X1))
    | ~ epred1_1(X1)
    | ~ p100(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_67,plain,
    ( p101(X1)
    | r1(X1,esk31_1(X1))
    | ~ epred1_1(X1)
    | ~ p100(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_68,plain,
    ( p115(X1)
    | ~ epred1_1(X1)
    | ~ p114(X1)
    | ~ p16(esk2_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_69,plain,
    ( p115(X1)
    | ~ epred1_1(X1)
    | ~ p114(X1)
    | ~ p116(esk2_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_70,plain,
    ( p115(X1)
    | ~ epred1_1(X1)
    | ~ p114(X1)
    | ~ p116(esk3_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_71,plain,
    ( p114(X1)
    | ~ epred1_1(X1)
    | ~ p113(X1)
    | ~ p15(esk4_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_72,plain,
    ( p114(X1)
    | ~ epred1_1(X1)
    | ~ p113(X1)
    | ~ p115(esk4_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_73,plain,
    ( p114(X1)
    | ~ epred1_1(X1)
    | ~ p113(X1)
    | ~ p115(esk5_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_74,plain,
    ( p113(X1)
    | ~ epred1_1(X1)
    | ~ p112(X1)
    | ~ p14(esk6_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_75,plain,
    ( p113(X1)
    | ~ epred1_1(X1)
    | ~ p112(X1)
    | ~ p114(esk6_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_76,plain,
    ( p113(X1)
    | ~ epred1_1(X1)
    | ~ p112(X1)
    | ~ p114(esk7_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_77,plain,
    ( p112(X1)
    | ~ epred1_1(X1)
    | ~ p111(X1)
    | ~ p13(esk8_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_78,plain,
    ( p112(X1)
    | ~ epred1_1(X1)
    | ~ p111(X1)
    | ~ p113(esk8_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_79,plain,
    ( p112(X1)
    | ~ epred1_1(X1)
    | ~ p111(X1)
    | ~ p113(esk9_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_80,plain,
    ( p111(X1)
    | ~ epred1_1(X1)
    | ~ p110(X1)
    | ~ p12(esk10_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_81,plain,
    ( p111(X1)
    | ~ epred1_1(X1)
    | ~ p110(X1)
    | ~ p112(esk10_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_82,plain,
    ( p111(X1)
    | ~ epred1_1(X1)
    | ~ p110(X1)
    | ~ p112(esk11_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_83,plain,
    ( p110(X1)
    | ~ epred1_1(X1)
    | ~ p109(X1)
    | ~ p11(esk12_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_84,plain,
    ( p110(X1)
    | ~ epred1_1(X1)
    | ~ p109(X1)
    | ~ p111(esk12_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_85,plain,
    ( p110(X1)
    | ~ epred1_1(X1)
    | ~ p109(X1)
    | ~ p111(esk13_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_86,plain,
    ( p109(X1)
    | ~ epred1_1(X1)
    | ~ p108(X1)
    | ~ p10(esk14_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_87,plain,
    ( p109(X1)
    | ~ epred1_1(X1)
    | ~ p108(X1)
    | ~ p110(esk14_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_88,plain,
    ( p109(X1)
    | ~ epred1_1(X1)
    | ~ p108(X1)
    | ~ p110(esk15_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_89,plain,
    ( p108(X1)
    | ~ epred1_1(X1)
    | ~ p107(X1)
    | ~ p9(esk16_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_90,plain,
    ( p108(X1)
    | ~ epred1_1(X1)
    | ~ p107(X1)
    | ~ p109(esk16_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_91,plain,
    ( p108(X1)
    | ~ epred1_1(X1)
    | ~ p107(X1)
    | ~ p109(esk17_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_92,plain,
    ( p107(X1)
    | ~ epred1_1(X1)
    | ~ p106(X1)
    | ~ p8(esk18_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_93,plain,
    ( p107(X1)
    | ~ epred1_1(X1)
    | ~ p106(X1)
    | ~ p108(esk18_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_94,plain,
    ( p107(X1)
    | ~ epred1_1(X1)
    | ~ p106(X1)
    | ~ p108(esk19_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_95,plain,
    ( p106(X1)
    | ~ epred1_1(X1)
    | ~ p105(X1)
    | ~ p7(esk20_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_96,plain,
    ( p106(X1)
    | ~ epred1_1(X1)
    | ~ p105(X1)
    | ~ p107(esk20_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_97,plain,
    ( p106(X1)
    | ~ epred1_1(X1)
    | ~ p105(X1)
    | ~ p107(esk21_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_98,plain,
    ( p105(X1)
    | ~ epred1_1(X1)
    | ~ p104(X1)
    | ~ p6(esk22_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_99,plain,
    ( p105(X1)
    | ~ epred1_1(X1)
    | ~ p104(X1)
    | ~ p106(esk22_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_100,plain,
    ( p105(X1)
    | ~ epred1_1(X1)
    | ~ p104(X1)
    | ~ p106(esk23_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_101,plain,
    ( p104(X1)
    | ~ epred1_1(X1)
    | ~ p103(X1)
    | ~ p5(esk24_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_102,plain,
    ( p104(X1)
    | ~ epred1_1(X1)
    | ~ p103(X1)
    | ~ p105(esk24_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_103,plain,
    ( p104(X1)
    | ~ epred1_1(X1)
    | ~ p103(X1)
    | ~ p105(esk25_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_104,plain,
    ( p103(X1)
    | ~ epred1_1(X1)
    | ~ p102(X1)
    | ~ p4(esk26_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_105,plain,
    ( p103(X1)
    | ~ epred1_1(X1)
    | ~ p102(X1)
    | ~ p104(esk26_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_106,plain,
    ( p103(X1)
    | ~ epred1_1(X1)
    | ~ p102(X1)
    | ~ p104(esk27_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_107,plain,
    ( p102(X1)
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ p3(esk28_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_108,plain,
    ( p102(X1)
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ p103(esk28_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_109,plain,
    ( p102(X1)
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ p103(esk29_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_110,plain,
    ( p101(X1)
    | ~ epred1_1(X1)
    | ~ p100(X1)
    | ~ p2(esk30_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_111,plain,
    ( p101(X1)
    | ~ epred1_1(X1)
    | ~ p100(X1)
    | ~ p102(esk30_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_112,plain,
    ( p101(X1)
    | ~ epred1_1(X1)
    | ~ p100(X1)
    | ~ p102(esk31_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_113,plain,
    ( p115(X1)
    | p115(esk2_1(X1))
    | ~ epred1_1(X1)
    | ~ p114(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_114,plain,
    ( p115(X1)
    | p16(esk3_1(X1))
    | ~ epred1_1(X1)
    | ~ p114(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_115,plain,
    ( p115(X1)
    | p115(esk3_1(X1))
    | ~ epred1_1(X1)
    | ~ p114(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_116,plain,
    ( p114(X1)
    | p114(esk4_1(X1))
    | ~ epred1_1(X1)
    | ~ p113(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_117,plain,
    ( p114(X1)
    | p15(esk5_1(X1))
    | ~ epred1_1(X1)
    | ~ p113(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_118,plain,
    ( p114(X1)
    | p114(esk5_1(X1))
    | ~ epred1_1(X1)
    | ~ p113(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_119,plain,
    ( p113(X1)
    | p113(esk6_1(X1))
    | ~ epred1_1(X1)
    | ~ p112(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_120,plain,
    ( p113(X1)
    | p14(esk7_1(X1))
    | ~ epred1_1(X1)
    | ~ p112(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_121,plain,
    ( p113(X1)
    | p113(esk7_1(X1))
    | ~ epred1_1(X1)
    | ~ p112(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_122,plain,
    ( p112(X1)
    | p112(esk8_1(X1))
    | ~ epred1_1(X1)
    | ~ p111(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_123,plain,
    ( p112(X1)
    | p13(esk9_1(X1))
    | ~ epred1_1(X1)
    | ~ p111(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_124,plain,
    ( p112(X1)
    | p112(esk9_1(X1))
    | ~ epred1_1(X1)
    | ~ p111(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_125,plain,
    ( p111(X1)
    | p111(esk10_1(X1))
    | ~ epred1_1(X1)
    | ~ p110(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_126,plain,
    ( p111(X1)
    | p12(esk11_1(X1))
    | ~ epred1_1(X1)
    | ~ p110(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_127,plain,
    ( p111(X1)
    | p111(esk11_1(X1))
    | ~ epred1_1(X1)
    | ~ p110(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_128,plain,
    ( p110(X1)
    | p110(esk12_1(X1))
    | ~ epred1_1(X1)
    | ~ p109(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_129,plain,
    ( p110(X1)
    | p11(esk13_1(X1))
    | ~ epred1_1(X1)
    | ~ p109(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_130,plain,
    ( p110(X1)
    | p110(esk13_1(X1))
    | ~ epred1_1(X1)
    | ~ p109(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_131,plain,
    ( p109(X1)
    | p109(esk14_1(X1))
    | ~ epred1_1(X1)
    | ~ p108(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_132,plain,
    ( p109(X1)
    | p10(esk15_1(X1))
    | ~ epred1_1(X1)
    | ~ p108(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_133,plain,
    ( p109(X1)
    | p109(esk15_1(X1))
    | ~ epred1_1(X1)
    | ~ p108(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_134,plain,
    ( p108(X1)
    | p108(esk16_1(X1))
    | ~ epred1_1(X1)
    | ~ p107(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_135,plain,
    ( p108(X1)
    | p9(esk17_1(X1))
    | ~ epred1_1(X1)
    | ~ p107(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_136,plain,
    ( p108(X1)
    | p108(esk17_1(X1))
    | ~ epred1_1(X1)
    | ~ p107(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_137,plain,
    ( p107(X1)
    | p107(esk18_1(X1))
    | ~ epred1_1(X1)
    | ~ p106(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_138,plain,
    ( p107(X1)
    | p8(esk19_1(X1))
    | ~ epred1_1(X1)
    | ~ p106(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_139,plain,
    ( p107(X1)
    | p107(esk19_1(X1))
    | ~ epred1_1(X1)
    | ~ p106(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_140,plain,
    ( p106(X1)
    | p106(esk20_1(X1))
    | ~ epred1_1(X1)
    | ~ p105(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_141,plain,
    ( p106(X1)
    | p7(esk21_1(X1))
    | ~ epred1_1(X1)
    | ~ p105(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_142,plain,
    ( p106(X1)
    | p106(esk21_1(X1))
    | ~ epred1_1(X1)
    | ~ p105(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_143,plain,
    ( p105(X1)
    | p105(esk22_1(X1))
    | ~ epred1_1(X1)
    | ~ p104(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_144,plain,
    ( p105(X1)
    | p6(esk23_1(X1))
    | ~ epred1_1(X1)
    | ~ p104(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_145,plain,
    ( p105(X1)
    | p105(esk23_1(X1))
    | ~ epred1_1(X1)
    | ~ p104(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_146,plain,
    ( p104(X1)
    | p104(esk24_1(X1))
    | ~ epred1_1(X1)
    | ~ p103(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_147,plain,
    ( p104(X1)
    | p5(esk25_1(X1))
    | ~ epred1_1(X1)
    | ~ p103(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_148,plain,
    ( p104(X1)
    | p104(esk25_1(X1))
    | ~ epred1_1(X1)
    | ~ p103(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_149,plain,
    ( p103(X1)
    | p103(esk26_1(X1))
    | ~ epred1_1(X1)
    | ~ p102(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_150,plain,
    ( p103(X1)
    | p4(esk27_1(X1))
    | ~ epred1_1(X1)
    | ~ p102(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_151,plain,
    ( p103(X1)
    | p103(esk27_1(X1))
    | ~ epred1_1(X1)
    | ~ p102(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_152,plain,
    ( p102(X1)
    | p102(esk28_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_153,plain,
    ( p102(X1)
    | p3(esk29_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_154,plain,
    ( p102(X1)
    | p102(esk29_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_155,plain,
    ( p101(X1)
    | p101(esk30_1(X1))
    | ~ epred1_1(X1)
    | ~ p100(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_156,plain,
    ( p101(X1)
    | p2(esk31_1(X1))
    | ~ epred1_1(X1)
    | ~ p100(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_157,plain,
    ( p101(X1)
    | p101(esk31_1(X1))
    | ~ epred1_1(X1)
    | ~ p100(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_158,negated_conjecture,
    ( p7(X1)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_159,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_160,plain,
    ( p115(X1)
    | ~ epred1_1(X1)
    | ~ p116(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_161,plain,
    ( p114(X1)
    | ~ epred1_1(X1)
    | ~ p115(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_162,plain,
    ( p113(X1)
    | ~ epred1_1(X1)
    | ~ p114(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_163,plain,
    ( p112(X1)
    | ~ epred1_1(X1)
    | ~ p113(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_164,plain,
    ( p111(X1)
    | ~ epred1_1(X1)
    | ~ p112(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_165,plain,
    ( p110(X1)
    | ~ epred1_1(X1)
    | ~ p111(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_166,plain,
    ( p109(X1)
    | ~ epred1_1(X1)
    | ~ p110(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_167,plain,
    ( p108(X1)
    | ~ epred1_1(X1)
    | ~ p109(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_168,plain,
    ( p107(X1)
    | ~ epred1_1(X1)
    | ~ p108(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_169,plain,
    ( p106(X1)
    | ~ epred1_1(X1)
    | ~ p107(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_170,plain,
    ( p105(X1)
    | ~ epred1_1(X1)
    | ~ p106(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_171,plain,
    ( p104(X1)
    | ~ epred1_1(X1)
    | ~ p105(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_172,plain,
    ( p103(X1)
    | ~ epred1_1(X1)
    | ~ p104(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_173,plain,
    ( p102(X1)
    | ~ epred1_1(X1)
    | ~ p103(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_174,plain,
    ( p101(X1)
    | ~ epred1_1(X1)
    | ~ p102(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_175,plain,
    ( p100(X1)
    | ~ epred1_1(X1)
    | ~ p101(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_176,negated_conjecture,
    ~ p101(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_177,negated_conjecture,
    p100(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_178,plain,
    ( p16(X1)
    | ~ epred1_1(X1)
    | ~ p115(X1)
    | ~ p115(X2)
    | ~ p16(X2)
    | ~ r1(X1,X2) ),
    c_0_6,
    [final] ).

cnf(c_0_179,plain,
    ( p16(X2)
    | ~ epred1_1(X1)
    | ~ p115(X1)
    | ~ p16(X1)
    | ~ p115(X2)
    | ~ r1(X1,X2) ),
    c_0_7,
    [final] ).

cnf(c_0_180,plain,
    ( p15(X1)
    | ~ epred1_1(X1)
    | ~ p114(X1)
    | ~ p114(X2)
    | ~ p15(X2)
    | ~ r1(X1,X2) ),
    c_0_8,
    [final] ).

cnf(c_0_181,plain,
    ( p15(X2)
    | ~ epred1_1(X1)
    | ~ p114(X1)
    | ~ p15(X1)
    | ~ p114(X2)
    | ~ r1(X1,X2) ),
    c_0_9,
    [final] ).

cnf(c_0_182,plain,
    ( p14(X1)
    | ~ epred1_1(X1)
    | ~ p113(X1)
    | ~ p113(X2)
    | ~ p14(X2)
    | ~ r1(X1,X2) ),
    c_0_10,
    [final] ).

cnf(c_0_183,plain,
    ( p14(X2)
    | ~ epred1_1(X1)
    | ~ p113(X1)
    | ~ p14(X1)
    | ~ p113(X2)
    | ~ r1(X1,X2) ),
    c_0_11,
    [final] ).

cnf(c_0_184,plain,
    ( p13(X1)
    | ~ epred1_1(X1)
    | ~ p112(X1)
    | ~ p112(X2)
    | ~ p13(X2)
    | ~ r1(X1,X2) ),
    c_0_12,
    [final] ).

cnf(c_0_185,plain,
    ( p13(X2)
    | ~ epred1_1(X1)
    | ~ p112(X1)
    | ~ p13(X1)
    | ~ p112(X2)
    | ~ r1(X1,X2) ),
    c_0_13,
    [final] ).

cnf(c_0_186,plain,
    ( p12(X1)
    | ~ epred1_1(X1)
    | ~ p111(X1)
    | ~ p111(X2)
    | ~ p12(X2)
    | ~ r1(X1,X2) ),
    c_0_14,
    [final] ).

cnf(c_0_187,plain,
    ( p12(X2)
    | ~ epred1_1(X1)
    | ~ p111(X1)
    | ~ p12(X1)
    | ~ p111(X2)
    | ~ r1(X1,X2) ),
    c_0_15,
    [final] ).

cnf(c_0_188,plain,
    ( p11(X1)
    | ~ epred1_1(X1)
    | ~ p110(X1)
    | ~ p110(X2)
    | ~ p11(X2)
    | ~ r1(X1,X2) ),
    c_0_16,
    [final] ).

cnf(c_0_189,plain,
    ( p11(X2)
    | ~ epred1_1(X1)
    | ~ p110(X1)
    | ~ p11(X1)
    | ~ p110(X2)
    | ~ r1(X1,X2) ),
    c_0_17,
    [final] ).

cnf(c_0_190,plain,
    ( p10(X1)
    | ~ epred1_1(X1)
    | ~ p109(X1)
    | ~ p109(X2)
    | ~ p10(X2)
    | ~ r1(X1,X2) ),
    c_0_18,
    [final] ).

cnf(c_0_191,plain,
    ( p10(X2)
    | ~ epred1_1(X1)
    | ~ p109(X1)
    | ~ p10(X1)
    | ~ p109(X2)
    | ~ r1(X1,X2) ),
    c_0_19,
    [final] ).

cnf(c_0_192,plain,
    ( p9(X1)
    | ~ epred1_1(X1)
    | ~ p108(X1)
    | ~ p108(X2)
    | ~ p9(X2)
    | ~ r1(X1,X2) ),
    c_0_20,
    [final] ).

cnf(c_0_193,plain,
    ( p9(X2)
    | ~ epred1_1(X1)
    | ~ p108(X1)
    | ~ p9(X1)
    | ~ p108(X2)
    | ~ r1(X1,X2) ),
    c_0_21,
    [final] ).

cnf(c_0_194,plain,
    ( p8(X1)
    | ~ epred1_1(X1)
    | ~ p107(X1)
    | ~ p107(X2)
    | ~ p8(X2)
    | ~ r1(X1,X2) ),
    c_0_22,
    [final] ).

cnf(c_0_195,plain,
    ( p8(X2)
    | ~ epred1_1(X1)
    | ~ p107(X1)
    | ~ p8(X1)
    | ~ p107(X2)
    | ~ r1(X1,X2) ),
    c_0_23,
    [final] ).

cnf(c_0_196,plain,
    ( p7(X1)
    | ~ epred1_1(X1)
    | ~ p106(X1)
    | ~ p106(X2)
    | ~ p7(X2)
    | ~ r1(X1,X2) ),
    c_0_24,
    [final] ).

cnf(c_0_197,plain,
    ( p7(X2)
    | ~ epred1_1(X1)
    | ~ p106(X1)
    | ~ p7(X1)
    | ~ p106(X2)
    | ~ r1(X1,X2) ),
    c_0_25,
    [final] ).

cnf(c_0_198,plain,
    ( p6(X1)
    | ~ epred1_1(X1)
    | ~ p105(X1)
    | ~ p105(X2)
    | ~ p6(X2)
    | ~ r1(X1,X2) ),
    c_0_26,
    [final] ).

cnf(c_0_199,plain,
    ( p6(X2)
    | ~ epred1_1(X1)
    | ~ p105(X1)
    | ~ p6(X1)
    | ~ p105(X2)
    | ~ r1(X1,X2) ),
    c_0_27,
    [final] ).

cnf(c_0_200,plain,
    ( p5(X1)
    | ~ epred1_1(X1)
    | ~ p104(X1)
    | ~ p104(X2)
    | ~ p5(X2)
    | ~ r1(X1,X2) ),
    c_0_28,
    [final] ).

cnf(c_0_201,plain,
    ( p5(X2)
    | ~ epred1_1(X1)
    | ~ p104(X1)
    | ~ p5(X1)
    | ~ p104(X2)
    | ~ r1(X1,X2) ),
    c_0_29,
    [final] ).

cnf(c_0_202,plain,
    ( p4(X1)
    | ~ epred1_1(X1)
    | ~ p103(X1)
    | ~ p103(X2)
    | ~ p4(X2)
    | ~ r1(X1,X2) ),
    c_0_30,
    [final] ).

cnf(c_0_203,plain,
    ( p4(X2)
    | ~ epred1_1(X1)
    | ~ p103(X1)
    | ~ p4(X1)
    | ~ p103(X2)
    | ~ r1(X1,X2) ),
    c_0_31,
    [final] ).

cnf(c_0_204,plain,
    ( p3(X1)
    | ~ epred1_1(X1)
    | ~ p102(X1)
    | ~ p102(X2)
    | ~ p3(X2)
    | ~ r1(X1,X2) ),
    c_0_32,
    [final] ).

cnf(c_0_205,plain,
    ( p3(X2)
    | ~ epred1_1(X1)
    | ~ p102(X1)
    | ~ p3(X1)
    | ~ p102(X2)
    | ~ r1(X1,X2) ),
    c_0_33,
    [final] ).

cnf(c_0_206,plain,
    ( p2(X1)
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ p101(X2)
    | ~ p2(X2)
    | ~ r1(X1,X2) ),
    c_0_34,
    [final] ).

cnf(c_0_207,plain,
    ( p2(X2)
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ p2(X1)
    | ~ p101(X2)
    | ~ r1(X1,X2) ),
    c_0_35,
    [final] ).

cnf(c_0_208,plain,
    ( p1(X1)
    | ~ epred1_1(X1)
    | ~ p100(X1)
    | ~ p100(X2)
    | ~ p1(X2)
    | ~ r1(X1,X2) ),
    c_0_36,
    [final] ).

cnf(c_0_209,plain,
    ( p1(X2)
    | ~ epred1_1(X1)
    | ~ p100(X1)
    | ~ p1(X1)
    | ~ p100(X2)
    | ~ r1(X1,X2) ),
    c_0_37,
    [final] ).

cnf(c_0_210,plain,
    ( p115(X1)
    | r1(X1,esk2_1(X1))
    | ~ epred1_1(X1)
    | ~ p114(X1) ),
    c_0_38,
    [final] ).

cnf(c_0_211,plain,
    ( p115(X1)
    | r1(X1,esk3_1(X1))
    | ~ epred1_1(X1)
    | ~ p114(X1) ),
    c_0_39,
    [final] ).

cnf(c_0_212,plain,
    ( p114(X1)
    | r1(X1,esk4_1(X1))
    | ~ epred1_1(X1)
    | ~ p113(X1) ),
    c_0_40,
    [final] ).

cnf(c_0_213,plain,
    ( p114(X1)
    | r1(X1,esk5_1(X1))
    | ~ epred1_1(X1)
    | ~ p113(X1) ),
    c_0_41,
    [final] ).

cnf(c_0_214,plain,
    ( p113(X1)
    | r1(X1,esk6_1(X1))
    | ~ epred1_1(X1)
    | ~ p112(X1) ),
    c_0_42,
    [final] ).

cnf(c_0_215,plain,
    ( p113(X1)
    | r1(X1,esk7_1(X1))
    | ~ epred1_1(X1)
    | ~ p112(X1) ),
    c_0_43,
    [final] ).

cnf(c_0_216,plain,
    ( p112(X1)
    | r1(X1,esk8_1(X1))
    | ~ epred1_1(X1)
    | ~ p111(X1) ),
    c_0_44,
    [final] ).

cnf(c_0_217,plain,
    ( p112(X1)
    | r1(X1,esk9_1(X1))
    | ~ epred1_1(X1)
    | ~ p111(X1) ),
    c_0_45,
    [final] ).

cnf(c_0_218,plain,
    ( p111(X1)
    | r1(X1,esk10_1(X1))
    | ~ epred1_1(X1)
    | ~ p110(X1) ),
    c_0_46,
    [final] ).

cnf(c_0_219,plain,
    ( p111(X1)
    | r1(X1,esk11_1(X1))
    | ~ epred1_1(X1)
    | ~ p110(X1) ),
    c_0_47,
    [final] ).

cnf(c_0_220,plain,
    ( p110(X1)
    | r1(X1,esk12_1(X1))
    | ~ epred1_1(X1)
    | ~ p109(X1) ),
    c_0_48,
    [final] ).

cnf(c_0_221,plain,
    ( p110(X1)
    | r1(X1,esk13_1(X1))
    | ~ epred1_1(X1)
    | ~ p109(X1) ),
    c_0_49,
    [final] ).

cnf(c_0_222,plain,
    ( p109(X1)
    | r1(X1,esk14_1(X1))
    | ~ epred1_1(X1)
    | ~ p108(X1) ),
    c_0_50,
    [final] ).

cnf(c_0_223,plain,
    ( p109(X1)
    | r1(X1,esk15_1(X1))
    | ~ epred1_1(X1)
    | ~ p108(X1) ),
    c_0_51,
    [final] ).

cnf(c_0_224,plain,
    ( p108(X1)
    | r1(X1,esk16_1(X1))
    | ~ epred1_1(X1)
    | ~ p107(X1) ),
    c_0_52,
    [final] ).

cnf(c_0_225,plain,
    ( p108(X1)
    | r1(X1,esk17_1(X1))
    | ~ epred1_1(X1)
    | ~ p107(X1) ),
    c_0_53,
    [final] ).

cnf(c_0_226,plain,
    ( p107(X1)
    | r1(X1,esk18_1(X1))
    | ~ epred1_1(X1)
    | ~ p106(X1) ),
    c_0_54,
    [final] ).

cnf(c_0_227,plain,
    ( p107(X1)
    | r1(X1,esk19_1(X1))
    | ~ epred1_1(X1)
    | ~ p106(X1) ),
    c_0_55,
    [final] ).

cnf(c_0_228,plain,
    ( p106(X1)
    | r1(X1,esk20_1(X1))
    | ~ epred1_1(X1)
    | ~ p105(X1) ),
    c_0_56,
    [final] ).

cnf(c_0_229,plain,
    ( p106(X1)
    | r1(X1,esk21_1(X1))
    | ~ epred1_1(X1)
    | ~ p105(X1) ),
    c_0_57,
    [final] ).

cnf(c_0_230,plain,
    ( p105(X1)
    | r1(X1,esk22_1(X1))
    | ~ epred1_1(X1)
    | ~ p104(X1) ),
    c_0_58,
    [final] ).

cnf(c_0_231,plain,
    ( p105(X1)
    | r1(X1,esk23_1(X1))
    | ~ epred1_1(X1)
    | ~ p104(X1) ),
    c_0_59,
    [final] ).

cnf(c_0_232,plain,
    ( p104(X1)
    | r1(X1,esk24_1(X1))
    | ~ epred1_1(X1)
    | ~ p103(X1) ),
    c_0_60,
    [final] ).

cnf(c_0_233,plain,
    ( p104(X1)
    | r1(X1,esk25_1(X1))
    | ~ epred1_1(X1)
    | ~ p103(X1) ),
    c_0_61,
    [final] ).

cnf(c_0_234,plain,
    ( p103(X1)
    | r1(X1,esk26_1(X1))
    | ~ epred1_1(X1)
    | ~ p102(X1) ),
    c_0_62,
    [final] ).

cnf(c_0_235,plain,
    ( p103(X1)
    | r1(X1,esk27_1(X1))
    | ~ epred1_1(X1)
    | ~ p102(X1) ),
    c_0_63,
    [final] ).

cnf(c_0_236,plain,
    ( p102(X1)
    | r1(X1,esk28_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1) ),
    c_0_64,
    [final] ).

cnf(c_0_237,plain,
    ( p102(X1)
    | r1(X1,esk29_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1) ),
    c_0_65,
    [final] ).

cnf(c_0_238,plain,
    ( p101(X1)
    | r1(X1,esk30_1(X1))
    | ~ epred1_1(X1)
    | ~ p100(X1) ),
    c_0_66,
    [final] ).

cnf(c_0_239,plain,
    ( p101(X1)
    | r1(X1,esk31_1(X1))
    | ~ epred1_1(X1)
    | ~ p100(X1) ),
    c_0_67,
    [final] ).

cnf(c_0_240,plain,
    ( p115(X1)
    | ~ epred1_1(X1)
    | ~ p114(X1)
    | ~ p16(esk2_1(X1)) ),
    c_0_68,
    [final] ).

cnf(c_0_241,plain,
    ( p115(X1)
    | ~ epred1_1(X1)
    | ~ p114(X1)
    | ~ p116(esk2_1(X1)) ),
    c_0_69,
    [final] ).

cnf(c_0_242,plain,
    ( p115(X1)
    | ~ epred1_1(X1)
    | ~ p114(X1)
    | ~ p116(esk3_1(X1)) ),
    c_0_70,
    [final] ).

cnf(c_0_243,plain,
    ( p114(X1)
    | ~ epred1_1(X1)
    | ~ p113(X1)
    | ~ p15(esk4_1(X1)) ),
    c_0_71,
    [final] ).

cnf(c_0_244,plain,
    ( p114(X1)
    | ~ epred1_1(X1)
    | ~ p113(X1)
    | ~ p115(esk4_1(X1)) ),
    c_0_72,
    [final] ).

cnf(c_0_245,plain,
    ( p114(X1)
    | ~ epred1_1(X1)
    | ~ p113(X1)
    | ~ p115(esk5_1(X1)) ),
    c_0_73,
    [final] ).

cnf(c_0_246,plain,
    ( p113(X1)
    | ~ epred1_1(X1)
    | ~ p112(X1)
    | ~ p14(esk6_1(X1)) ),
    c_0_74,
    [final] ).

cnf(c_0_247,plain,
    ( p113(X1)
    | ~ epred1_1(X1)
    | ~ p112(X1)
    | ~ p114(esk6_1(X1)) ),
    c_0_75,
    [final] ).

cnf(c_0_248,plain,
    ( p113(X1)
    | ~ epred1_1(X1)
    | ~ p112(X1)
    | ~ p114(esk7_1(X1)) ),
    c_0_76,
    [final] ).

cnf(c_0_249,plain,
    ( p112(X1)
    | ~ epred1_1(X1)
    | ~ p111(X1)
    | ~ p13(esk8_1(X1)) ),
    c_0_77,
    [final] ).

cnf(c_0_250,plain,
    ( p112(X1)
    | ~ epred1_1(X1)
    | ~ p111(X1)
    | ~ p113(esk8_1(X1)) ),
    c_0_78,
    [final] ).

cnf(c_0_251,plain,
    ( p112(X1)
    | ~ epred1_1(X1)
    | ~ p111(X1)
    | ~ p113(esk9_1(X1)) ),
    c_0_79,
    [final] ).

cnf(c_0_252,plain,
    ( p111(X1)
    | ~ epred1_1(X1)
    | ~ p110(X1)
    | ~ p12(esk10_1(X1)) ),
    c_0_80,
    [final] ).

cnf(c_0_253,plain,
    ( p111(X1)
    | ~ epred1_1(X1)
    | ~ p110(X1)
    | ~ p112(esk10_1(X1)) ),
    c_0_81,
    [final] ).

cnf(c_0_254,plain,
    ( p111(X1)
    | ~ epred1_1(X1)
    | ~ p110(X1)
    | ~ p112(esk11_1(X1)) ),
    c_0_82,
    [final] ).

cnf(c_0_255,plain,
    ( p110(X1)
    | ~ epred1_1(X1)
    | ~ p109(X1)
    | ~ p11(esk12_1(X1)) ),
    c_0_83,
    [final] ).

cnf(c_0_256,plain,
    ( p110(X1)
    | ~ epred1_1(X1)
    | ~ p109(X1)
    | ~ p111(esk12_1(X1)) ),
    c_0_84,
    [final] ).

cnf(c_0_257,plain,
    ( p110(X1)
    | ~ epred1_1(X1)
    | ~ p109(X1)
    | ~ p111(esk13_1(X1)) ),
    c_0_85,
    [final] ).

cnf(c_0_258,plain,
    ( p109(X1)
    | ~ epred1_1(X1)
    | ~ p108(X1)
    | ~ p10(esk14_1(X1)) ),
    c_0_86,
    [final] ).

cnf(c_0_259,plain,
    ( p109(X1)
    | ~ epred1_1(X1)
    | ~ p108(X1)
    | ~ p110(esk14_1(X1)) ),
    c_0_87,
    [final] ).

cnf(c_0_260,plain,
    ( p109(X1)
    | ~ epred1_1(X1)
    | ~ p108(X1)
    | ~ p110(esk15_1(X1)) ),
    c_0_88,
    [final] ).

cnf(c_0_261,plain,
    ( p108(X1)
    | ~ epred1_1(X1)
    | ~ p107(X1)
    | ~ p9(esk16_1(X1)) ),
    c_0_89,
    [final] ).

cnf(c_0_262,plain,
    ( p108(X1)
    | ~ epred1_1(X1)
    | ~ p107(X1)
    | ~ p109(esk16_1(X1)) ),
    c_0_90,
    [final] ).

cnf(c_0_263,plain,
    ( p108(X1)
    | ~ epred1_1(X1)
    | ~ p107(X1)
    | ~ p109(esk17_1(X1)) ),
    c_0_91,
    [final] ).

cnf(c_0_264,plain,
    ( p107(X1)
    | ~ epred1_1(X1)
    | ~ p106(X1)
    | ~ p8(esk18_1(X1)) ),
    c_0_92,
    [final] ).

cnf(c_0_265,plain,
    ( p107(X1)
    | ~ epred1_1(X1)
    | ~ p106(X1)
    | ~ p108(esk18_1(X1)) ),
    c_0_93,
    [final] ).

cnf(c_0_266,plain,
    ( p107(X1)
    | ~ epred1_1(X1)
    | ~ p106(X1)
    | ~ p108(esk19_1(X1)) ),
    c_0_94,
    [final] ).

cnf(c_0_267,plain,
    ( p106(X1)
    | ~ epred1_1(X1)
    | ~ p105(X1)
    | ~ p7(esk20_1(X1)) ),
    c_0_95,
    [final] ).

cnf(c_0_268,plain,
    ( p106(X1)
    | ~ epred1_1(X1)
    | ~ p105(X1)
    | ~ p107(esk20_1(X1)) ),
    c_0_96,
    [final] ).

cnf(c_0_269,plain,
    ( p106(X1)
    | ~ epred1_1(X1)
    | ~ p105(X1)
    | ~ p107(esk21_1(X1)) ),
    c_0_97,
    [final] ).

cnf(c_0_270,plain,
    ( p105(X1)
    | ~ epred1_1(X1)
    | ~ p104(X1)
    | ~ p6(esk22_1(X1)) ),
    c_0_98,
    [final] ).

cnf(c_0_271,plain,
    ( p105(X1)
    | ~ epred1_1(X1)
    | ~ p104(X1)
    | ~ p106(esk22_1(X1)) ),
    c_0_99,
    [final] ).

cnf(c_0_272,plain,
    ( p105(X1)
    | ~ epred1_1(X1)
    | ~ p104(X1)
    | ~ p106(esk23_1(X1)) ),
    c_0_100,
    [final] ).

cnf(c_0_273,plain,
    ( p104(X1)
    | ~ epred1_1(X1)
    | ~ p103(X1)
    | ~ p5(esk24_1(X1)) ),
    c_0_101,
    [final] ).

cnf(c_0_274,plain,
    ( p104(X1)
    | ~ epred1_1(X1)
    | ~ p103(X1)
    | ~ p105(esk24_1(X1)) ),
    c_0_102,
    [final] ).

cnf(c_0_275,plain,
    ( p104(X1)
    | ~ epred1_1(X1)
    | ~ p103(X1)
    | ~ p105(esk25_1(X1)) ),
    c_0_103,
    [final] ).

cnf(c_0_276,plain,
    ( p103(X1)
    | ~ epred1_1(X1)
    | ~ p102(X1)
    | ~ p4(esk26_1(X1)) ),
    c_0_104,
    [final] ).

cnf(c_0_277,plain,
    ( p103(X1)
    | ~ epred1_1(X1)
    | ~ p102(X1)
    | ~ p104(esk26_1(X1)) ),
    c_0_105,
    [final] ).

cnf(c_0_278,plain,
    ( p103(X1)
    | ~ epred1_1(X1)
    | ~ p102(X1)
    | ~ p104(esk27_1(X1)) ),
    c_0_106,
    [final] ).

cnf(c_0_279,plain,
    ( p102(X1)
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ p3(esk28_1(X1)) ),
    c_0_107,
    [final] ).

cnf(c_0_280,plain,
    ( p102(X1)
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ p103(esk28_1(X1)) ),
    c_0_108,
    [final] ).

cnf(c_0_281,plain,
    ( p102(X1)
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ p103(esk29_1(X1)) ),
    c_0_109,
    [final] ).

cnf(c_0_282,plain,
    ( p101(X1)
    | ~ epred1_1(X1)
    | ~ p100(X1)
    | ~ p2(esk30_1(X1)) ),
    c_0_110,
    [final] ).

cnf(c_0_283,plain,
    ( p101(X1)
    | ~ epred1_1(X1)
    | ~ p100(X1)
    | ~ p102(esk30_1(X1)) ),
    c_0_111,
    [final] ).

cnf(c_0_284,plain,
    ( p101(X1)
    | ~ epred1_1(X1)
    | ~ p100(X1)
    | ~ p102(esk31_1(X1)) ),
    c_0_112,
    [final] ).

cnf(c_0_285,plain,
    ( p115(X1)
    | p115(esk2_1(X1))
    | ~ epred1_1(X1)
    | ~ p114(X1) ),
    c_0_113,
    [final] ).

cnf(c_0_286,plain,
    ( p115(X1)
    | p16(esk3_1(X1))
    | ~ epred1_1(X1)
    | ~ p114(X1) ),
    c_0_114,
    [final] ).

cnf(c_0_287,plain,
    ( p115(X1)
    | p115(esk3_1(X1))
    | ~ epred1_1(X1)
    | ~ p114(X1) ),
    c_0_115,
    [final] ).

cnf(c_0_288,plain,
    ( p114(X1)
    | p114(esk4_1(X1))
    | ~ epred1_1(X1)
    | ~ p113(X1) ),
    c_0_116,
    [final] ).

cnf(c_0_289,plain,
    ( p114(X1)
    | p15(esk5_1(X1))
    | ~ epred1_1(X1)
    | ~ p113(X1) ),
    c_0_117,
    [final] ).

cnf(c_0_290,plain,
    ( p114(X1)
    | p114(esk5_1(X1))
    | ~ epred1_1(X1)
    | ~ p113(X1) ),
    c_0_118,
    [final] ).

cnf(c_0_291,plain,
    ( p113(X1)
    | p113(esk6_1(X1))
    | ~ epred1_1(X1)
    | ~ p112(X1) ),
    c_0_119,
    [final] ).

cnf(c_0_292,plain,
    ( p113(X1)
    | p14(esk7_1(X1))
    | ~ epred1_1(X1)
    | ~ p112(X1) ),
    c_0_120,
    [final] ).

cnf(c_0_293,plain,
    ( p113(X1)
    | p113(esk7_1(X1))
    | ~ epred1_1(X1)
    | ~ p112(X1) ),
    c_0_121,
    [final] ).

cnf(c_0_294,plain,
    ( p112(X1)
    | p112(esk8_1(X1))
    | ~ epred1_1(X1)
    | ~ p111(X1) ),
    c_0_122,
    [final] ).

cnf(c_0_295,plain,
    ( p112(X1)
    | p13(esk9_1(X1))
    | ~ epred1_1(X1)
    | ~ p111(X1) ),
    c_0_123,
    [final] ).

cnf(c_0_296,plain,
    ( p112(X1)
    | p112(esk9_1(X1))
    | ~ epred1_1(X1)
    | ~ p111(X1) ),
    c_0_124,
    [final] ).

cnf(c_0_297,plain,
    ( p111(X1)
    | p111(esk10_1(X1))
    | ~ epred1_1(X1)
    | ~ p110(X1) ),
    c_0_125,
    [final] ).

cnf(c_0_298,plain,
    ( p111(X1)
    | p12(esk11_1(X1))
    | ~ epred1_1(X1)
    | ~ p110(X1) ),
    c_0_126,
    [final] ).

cnf(c_0_299,plain,
    ( p111(X1)
    | p111(esk11_1(X1))
    | ~ epred1_1(X1)
    | ~ p110(X1) ),
    c_0_127,
    [final] ).

cnf(c_0_300,plain,
    ( p110(X1)
    | p110(esk12_1(X1))
    | ~ epred1_1(X1)
    | ~ p109(X1) ),
    c_0_128,
    [final] ).

cnf(c_0_301,plain,
    ( p110(X1)
    | p11(esk13_1(X1))
    | ~ epred1_1(X1)
    | ~ p109(X1) ),
    c_0_129,
    [final] ).

cnf(c_0_302,plain,
    ( p110(X1)
    | p110(esk13_1(X1))
    | ~ epred1_1(X1)
    | ~ p109(X1) ),
    c_0_130,
    [final] ).

cnf(c_0_303,plain,
    ( p109(X1)
    | p109(esk14_1(X1))
    | ~ epred1_1(X1)
    | ~ p108(X1) ),
    c_0_131,
    [final] ).

cnf(c_0_304,plain,
    ( p109(X1)
    | p10(esk15_1(X1))
    | ~ epred1_1(X1)
    | ~ p108(X1) ),
    c_0_132,
    [final] ).

cnf(c_0_305,plain,
    ( p109(X1)
    | p109(esk15_1(X1))
    | ~ epred1_1(X1)
    | ~ p108(X1) ),
    c_0_133,
    [final] ).

cnf(c_0_306,plain,
    ( p108(X1)
    | p108(esk16_1(X1))
    | ~ epred1_1(X1)
    | ~ p107(X1) ),
    c_0_134,
    [final] ).

cnf(c_0_307,plain,
    ( p108(X1)
    | p9(esk17_1(X1))
    | ~ epred1_1(X1)
    | ~ p107(X1) ),
    c_0_135,
    [final] ).

cnf(c_0_308,plain,
    ( p108(X1)
    | p108(esk17_1(X1))
    | ~ epred1_1(X1)
    | ~ p107(X1) ),
    c_0_136,
    [final] ).

cnf(c_0_309,plain,
    ( p107(X1)
    | p107(esk18_1(X1))
    | ~ epred1_1(X1)
    | ~ p106(X1) ),
    c_0_137,
    [final] ).

cnf(c_0_310,plain,
    ( p107(X1)
    | p8(esk19_1(X1))
    | ~ epred1_1(X1)
    | ~ p106(X1) ),
    c_0_138,
    [final] ).

cnf(c_0_311,plain,
    ( p107(X1)
    | p107(esk19_1(X1))
    | ~ epred1_1(X1)
    | ~ p106(X1) ),
    c_0_139,
    [final] ).

cnf(c_0_312,plain,
    ( p106(X1)
    | p106(esk20_1(X1))
    | ~ epred1_1(X1)
    | ~ p105(X1) ),
    c_0_140,
    [final] ).

cnf(c_0_313,plain,
    ( p106(X1)
    | p7(esk21_1(X1))
    | ~ epred1_1(X1)
    | ~ p105(X1) ),
    c_0_141,
    [final] ).

cnf(c_0_314,plain,
    ( p106(X1)
    | p106(esk21_1(X1))
    | ~ epred1_1(X1)
    | ~ p105(X1) ),
    c_0_142,
    [final] ).

cnf(c_0_315,plain,
    ( p105(X1)
    | p105(esk22_1(X1))
    | ~ epred1_1(X1)
    | ~ p104(X1) ),
    c_0_143,
    [final] ).

cnf(c_0_316,plain,
    ( p105(X1)
    | p6(esk23_1(X1))
    | ~ epred1_1(X1)
    | ~ p104(X1) ),
    c_0_144,
    [final] ).

cnf(c_0_317,plain,
    ( p105(X1)
    | p105(esk23_1(X1))
    | ~ epred1_1(X1)
    | ~ p104(X1) ),
    c_0_145,
    [final] ).

cnf(c_0_318,plain,
    ( p104(X1)
    | p104(esk24_1(X1))
    | ~ epred1_1(X1)
    | ~ p103(X1) ),
    c_0_146,
    [final] ).

cnf(c_0_319,plain,
    ( p104(X1)
    | p5(esk25_1(X1))
    | ~ epred1_1(X1)
    | ~ p103(X1) ),
    c_0_147,
    [final] ).

cnf(c_0_320,plain,
    ( p104(X1)
    | p104(esk25_1(X1))
    | ~ epred1_1(X1)
    | ~ p103(X1) ),
    c_0_148,
    [final] ).

cnf(c_0_321,plain,
    ( p103(X1)
    | p103(esk26_1(X1))
    | ~ epred1_1(X1)
    | ~ p102(X1) ),
    c_0_149,
    [final] ).

cnf(c_0_322,plain,
    ( p103(X1)
    | p4(esk27_1(X1))
    | ~ epred1_1(X1)
    | ~ p102(X1) ),
    c_0_150,
    [final] ).

cnf(c_0_323,plain,
    ( p103(X1)
    | p103(esk27_1(X1))
    | ~ epred1_1(X1)
    | ~ p102(X1) ),
    c_0_151,
    [final] ).

cnf(c_0_324,plain,
    ( p102(X1)
    | p102(esk28_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1) ),
    c_0_152,
    [final] ).

cnf(c_0_325,plain,
    ( p102(X1)
    | p3(esk29_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1) ),
    c_0_153,
    [final] ).

cnf(c_0_326,plain,
    ( p102(X1)
    | p102(esk29_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1) ),
    c_0_154,
    [final] ).

cnf(c_0_327,plain,
    ( p101(X1)
    | p101(esk30_1(X1))
    | ~ epred1_1(X1)
    | ~ p100(X1) ),
    c_0_155,
    [final] ).

cnf(c_0_328,plain,
    ( p101(X1)
    | p2(esk31_1(X1))
    | ~ epred1_1(X1)
    | ~ p100(X1) ),
    c_0_156,
    [final] ).

cnf(c_0_329,plain,
    ( p101(X1)
    | p101(esk31_1(X1))
    | ~ epred1_1(X1)
    | ~ p100(X1) ),
    c_0_157,
    [final] ).

cnf(c_0_330,negated_conjecture,
    ( p7(X1)
    | ~ r1(esk1_0,X1) ),
    c_0_158,
    [final] ).

cnf(c_0_331,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X1) ),
    c_0_159,
    [final] ).

cnf(c_0_332,plain,
    ( p115(X1)
    | ~ epred1_1(X1)
    | ~ p116(X1) ),
    c_0_160,
    [final] ).

cnf(c_0_333,plain,
    ( p114(X1)
    | ~ epred1_1(X1)
    | ~ p115(X1) ),
    c_0_161,
    [final] ).

cnf(c_0_334,plain,
    ( p113(X1)
    | ~ epred1_1(X1)
    | ~ p114(X1) ),
    c_0_162,
    [final] ).

cnf(c_0_335,plain,
    ( p112(X1)
    | ~ epred1_1(X1)
    | ~ p113(X1) ),
    c_0_163,
    [final] ).

cnf(c_0_336,plain,
    ( p111(X1)
    | ~ epred1_1(X1)
    | ~ p112(X1) ),
    c_0_164,
    [final] ).

cnf(c_0_337,plain,
    ( p110(X1)
    | ~ epred1_1(X1)
    | ~ p111(X1) ),
    c_0_165,
    [final] ).

cnf(c_0_338,plain,
    ( p109(X1)
    | ~ epred1_1(X1)
    | ~ p110(X1) ),
    c_0_166,
    [final] ).

cnf(c_0_339,plain,
    ( p108(X1)
    | ~ epred1_1(X1)
    | ~ p109(X1) ),
    c_0_167,
    [final] ).

cnf(c_0_340,plain,
    ( p107(X1)
    | ~ epred1_1(X1)
    | ~ p108(X1) ),
    c_0_168,
    [final] ).

cnf(c_0_341,plain,
    ( p106(X1)
    | ~ epred1_1(X1)
    | ~ p107(X1) ),
    c_0_169,
    [final] ).

cnf(c_0_342,plain,
    ( p105(X1)
    | ~ epred1_1(X1)
    | ~ p106(X1) ),
    c_0_170,
    [final] ).

cnf(c_0_343,plain,
    ( p104(X1)
    | ~ epred1_1(X1)
    | ~ p105(X1) ),
    c_0_171,
    [final] ).

cnf(c_0_344,plain,
    ( p103(X1)
    | ~ epred1_1(X1)
    | ~ p104(X1) ),
    c_0_172,
    [final] ).

cnf(c_0_345,plain,
    ( p102(X1)
    | ~ epred1_1(X1)
    | ~ p103(X1) ),
    c_0_173,
    [final] ).

cnf(c_0_346,plain,
    ( p101(X1)
    | ~ epred1_1(X1)
    | ~ p102(X1) ),
    c_0_174,
    [final] ).

cnf(c_0_347,plain,
    ( p100(X1)
    | ~ epred1_1(X1)
    | ~ p101(X1) ),
    c_0_175,
    [final] ).

cnf(c_0_348,negated_conjecture,
    ~ p101(esk1_0),
    c_0_176,
    [final] ).

cnf(c_0_349,negated_conjecture,
    p100(esk1_0),
    c_0_177,
    [final] ).

% End CNF derivation

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

cnf(c_91,plain,
    ( ~ epred1_1(X0)
    | ~ p7(sk3_esk20_1(X0))
    | p106(X0)
    | ~ p105(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_267) ).

cnf(c_482,plain,
    ( ~ epred1_1(X0)
    | ~ p7(sk3_esk20_1(X0))
    | p106(X0)
    | ~ p105(X0) ),
    inference(copy,[status(esa)],[c_91]) ).

cnf(c_745,plain,
    ( ~ epred1_1(X0)
    | ~ p7(sk3_esk20_1(X0))
    | p106(X0)
    | ~ p105(X0) ),
    inference(copy,[status(esa)],[c_482]) ).

cnf(c_910,plain,
    ( ~ epred1_1(X0)
    | ~ p7(sk3_esk20_1(X0))
    | p106(X0)
    | ~ p105(X0) ),
    inference(copy,[status(esa)],[c_745]) ).

cnf(c_1087,plain,
    ( ~ epred1_1(X0)
    | ~ p7(sk3_esk20_1(X0))
    | p106(X0)
    | ~ p105(X0) ),
    inference(copy,[status(esa)],[c_910]) ).

cnf(c_1518,plain,
    ( ~ epred1_1(X0)
    | ~ p7(sk3_esk20_1(X0))
    | p106(X0)
    | ~ p105(X0) ),
    inference(copy,[status(esa)],[c_1087]) ).

cnf(c_52,plain,
    ( r1(X0,sk3_esk20_1(X0))
    | ~ epred1_1(X0)
    | p106(X0)
    | ~ p105(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_228) ).

cnf(c_404,plain,
    ( r1(X0,sk3_esk20_1(X0))
    | ~ epred1_1(X0)
    | p106(X0)
    | ~ p105(X0) ),
    inference(copy,[status(esa)],[c_52]) ).

cnf(c_706,plain,
    ( r1(X0,sk3_esk20_1(X0))
    | ~ epred1_1(X0)
    | p106(X0)
    | ~ p105(X0) ),
    inference(copy,[status(esa)],[c_404]) ).

cnf(c_949,plain,
    ( r1(X0,sk3_esk20_1(X0))
    | ~ epred1_1(X0)
    | p106(X0)
    | ~ p105(X0) ),
    inference(copy,[status(esa)],[c_706]) ).

cnf(c_1050,plain,
    ( r1(X0,sk3_esk20_1(X0))
    | ~ epred1_1(X0)
    | p106(X0)
    | ~ p105(X0) ),
    inference(copy,[status(esa)],[c_949]) ).

cnf(c_1444,plain,
    ( r1(X0,sk3_esk20_1(X0))
    | ~ epred1_1(X0)
    | p106(X0)
    | ~ p105(X0) ),
    inference(copy,[status(esa)],[c_1050]) ).

cnf(c_154,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p7(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_330) ).

cnf(c_640,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p7(X0) ),
    inference(copy,[status(esa)],[c_154]) ).

cnf(c_808,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p7(X0) ),
    inference(copy,[status(esa)],[c_640]) ).

cnf(c_847,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p7(X0) ),
    inference(copy,[status(esa)],[c_808]) ).

cnf(c_1150,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | p7(X0) ),
    inference(copy,[status(esa)],[c_847]) ).

cnf(c_1644,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p7(X0) ),
    inference(copy,[status(esa)],[c_1150]) ).

cnf(c_1,plain,
    ( ~ r1(X0,X1)
    | ~ r1(X1,X2)
    | r1(X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_8_0) ).

cnf(c_1342,plain,
    ( ~ r1(X0,X1)
    | ~ r1(X1,X2)
    | r1(X0,X2) ),
    inference(copy,[status(esa)],[c_1]) ).

cnf(c_1692,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p7(X1) ),
    inference(resolution,[status(thm)],[c_1644,c_1342]) ).

cnf(c_1693,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p7(X1) ),
    inference(rewriting,[status(thm)],[c_1692]) ).

cnf(c_26807,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p7(sk3_esk20_1(X0))
    | p106(X0)
    | ~ p105(X0) ),
    inference(resolution,[status(thm)],[c_1444,c_1693]) ).

cnf(c_26808,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p7(sk3_esk20_1(X0))
    | p106(X0)
    | ~ p105(X0) ),
    inference(rewriting,[status(thm)],[c_26807]) ).

cnf(c_155,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | epred1_1(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_331) ).

cnf(c_642,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | epred1_1(X0) ),
    inference(copy,[status(esa)],[c_155]) ).

cnf(c_809,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | epred1_1(X0) ),
    inference(copy,[status(esa)],[c_642]) ).

cnf(c_846,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | epred1_1(X0) ),
    inference(copy,[status(esa)],[c_809]) ).

cnf(c_1151,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | epred1_1(X0) ),
    inference(copy,[status(esa)],[c_846]) ).

cnf(c_1646,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | epred1_1(X0) ),
    inference(copy,[status(esa)],[c_1151]) ).

cnf(c_27638,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p7(sk3_esk20_1(X0))
    | p106(X0)
    | ~ p105(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_26808,c_1646]) ).

cnf(c_27639,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p7(sk3_esk20_1(X0))
    | p106(X0)
    | ~ p105(X0) ),
    inference(rewriting,[status(thm)],[c_27638]) ).

cnf(c_35827,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p106(X0)
    | ~ p105(X0) ),
    inference(resolution,[status(thm)],[c_1518,c_27639]) ).

cnf(c_35828,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p106(X0)
    | ~ p105(X0) ),
    inference(rewriting,[status(thm)],[c_35827]) ).

cnf(c_35871,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p106(X0)
    | ~ p105(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_35828,c_1646]) ).

cnf(c_35872,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p106(X0)
    | ~ p105(X0) ),
    inference(rewriting,[status(thm)],[c_35871]) ).

cnf(c_35878,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p106(X1)
    | ~ p105(X1) ),
    inference(resolution,[status(thm)],[c_35872,c_1342]) ).

cnf(c_35879,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p106(X1)
    | ~ p105(X1) ),
    inference(rewriting,[status(thm)],[c_35878]) ).

cnf(c_35950,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | ~ r1(X1,X2)
    | p106(X2)
    | ~ p105(X2) ),
    inference(resolution,[status(thm)],[c_35879,c_1342]) ).

cnf(c_35951,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | ~ r1(X1,X2)
    | p106(X2)
    | ~ p105(X2) ),
    inference(rewriting,[status(thm)],[c_35950]) ).

cnf(c_54,plain,
    ( r1(X0,sk3_esk22_1(X0))
    | ~ epred1_1(X0)
    | p105(X0)
    | ~ p104(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_230) ).

cnf(c_408,plain,
    ( r1(X0,sk3_esk22_1(X0))
    | ~ epred1_1(X0)
    | p105(X0)
    | ~ p104(X0) ),
    inference(copy,[status(esa)],[c_54]) ).

cnf(c_708,plain,
    ( r1(X0,sk3_esk22_1(X0))
    | ~ epred1_1(X0)
    | p105(X0)
    | ~ p104(X0) ),
    inference(copy,[status(esa)],[c_408]) ).

cnf(c_947,plain,
    ( r1(X0,sk3_esk22_1(X0))
    | ~ epred1_1(X0)
    | p105(X0)
    | ~ p104(X0) ),
    inference(copy,[status(esa)],[c_708]) ).

cnf(c_1052,plain,
    ( r1(X0,sk3_esk22_1(X0))
    | ~ epred1_1(X0)
    | p105(X0)
    | ~ p104(X0) ),
    inference(copy,[status(esa)],[c_947]) ).

cnf(c_1448,plain,
    ( r1(X0,sk3_esk22_1(X0))
    | ~ epred1_1(X0)
    | p105(X0)
    | ~ p104(X0) ),
    inference(copy,[status(esa)],[c_1052]) ).

cnf(c_36296,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | ~ epred1_1(X1)
    | p106(sk3_esk22_1(X1))
    | ~ p105(sk3_esk22_1(X1))
    | p105(X1)
    | ~ p104(X1) ),
    inference(resolution,[status(thm)],[c_35951,c_1448]) ).

cnf(c_36297,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | ~ epred1_1(X1)
    | p106(sk3_esk22_1(X1))
    | ~ p105(sk3_esk22_1(X1))
    | p105(X1)
    | ~ p104(X1) ),
    inference(rewriting,[status(thm)],[c_36296]) ).

cnf(c_1700,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | epred1_1(X1) ),
    inference(resolution,[status(thm)],[c_1646,c_1342]) ).

cnf(c_1701,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | epred1_1(X1) ),
    inference(rewriting,[status(thm)],[c_1700]) ).

cnf(c_75963,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p106(sk3_esk22_1(X1))
    | ~ p105(sk3_esk22_1(X1))
    | p105(X1)
    | ~ p104(X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_36297,c_1701]) ).

cnf(c_75964,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p106(sk3_esk22_1(X1))
    | ~ p105(sk3_esk22_1(X1))
    | p105(X1)
    | ~ p104(X1) ),
    inference(rewriting,[status(thm)],[c_75963]) ).

cnf(c_139,plain,
    ( ~ epred1_1(X0)
    | p105(sk3_esk22_1(X0))
    | p105(X0)
    | ~ p104(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_315) ).

cnf(c_578,plain,
    ( ~ epred1_1(X0)
    | p105(sk3_esk22_1(X0))
    | p105(X0)
    | ~ p104(X0) ),
    inference(copy,[status(esa)],[c_139]) ).

cnf(c_793,plain,
    ( ~ epred1_1(X0)
    | p105(sk3_esk22_1(X0))
    | p105(X0)
    | ~ p104(X0) ),
    inference(copy,[status(esa)],[c_578]) ).

cnf(c_862,plain,
    ( ~ epred1_1(X0)
    | p105(sk3_esk22_1(X0))
    | p105(X0)
    | ~ p104(X0) ),
    inference(copy,[status(esa)],[c_793]) ).

cnf(c_1135,plain,
    ( ~ epred1_1(X0)
    | p105(sk3_esk22_1(X0))
    | p105(X0)
    | ~ p104(X0) ),
    inference(copy,[status(esa)],[c_862]) ).

cnf(c_1614,plain,
    ( ~ epred1_1(X0)
    | p105(sk3_esk22_1(X0))
    | p105(X0)
    | ~ p104(X0) ),
    inference(copy,[status(esa)],[c_1135]) ).

cnf(c_75973,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | ~ epred1_1(X1)
    | p106(sk3_esk22_1(X1))
    | p105(X1)
    | ~ p104(X1) ),
    inference(resolution,[status(thm)],[c_75964,c_1614]) ).

cnf(c_75974,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | ~ epred1_1(X1)
    | p106(sk3_esk22_1(X1))
    | p105(X1)
    | ~ p104(X1) ),
    inference(rewriting,[status(thm)],[c_75973]) ).

cnf(c_75981,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p106(sk3_esk22_1(X1))
    | p105(X1)
    | ~ p104(X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_75974,c_1701]) ).

cnf(c_75982,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p106(sk3_esk22_1(X1))
    | p105(X1)
    | ~ p104(X1) ),
    inference(rewriting,[status(thm)],[c_75981]) ).

cnf(c_0,plain,
    r1(X0,X0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_9_0) ).

cnf(c_1340,plain,
    r1(X0,X0),
    inference(copy,[status(esa)],[c_0]) ).

cnf(c_75988,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p106(sk3_esk22_1(X0))
    | p105(X0)
    | ~ p104(X0) ),
    inference(resolution,[status(thm)],[c_75982,c_1340]) ).

cnf(c_75989,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p106(sk3_esk22_1(X0))
    | p105(X0)
    | ~ p104(X0) ),
    inference(rewriting,[status(thm)],[c_75988]) ).

cnf(c_95,plain,
    ( ~ epred1_1(X0)
    | ~ p106(sk3_esk22_1(X0))
    | p105(X0)
    | ~ p104(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_271) ).

cnf(c_490,plain,
    ( ~ epred1_1(X0)
    | ~ p106(sk3_esk22_1(X0))
    | p105(X0)
    | ~ p104(X0) ),
    inference(copy,[status(esa)],[c_95]) ).

cnf(c_749,plain,
    ( ~ epred1_1(X0)
    | ~ p106(sk3_esk22_1(X0))
    | p105(X0)
    | ~ p104(X0) ),
    inference(copy,[status(esa)],[c_490]) ).

cnf(c_906,plain,
    ( ~ epred1_1(X0)
    | ~ p106(sk3_esk22_1(X0))
    | p105(X0)
    | ~ p104(X0) ),
    inference(copy,[status(esa)],[c_749]) ).

cnf(c_1091,plain,
    ( ~ epred1_1(X0)
    | ~ p106(sk3_esk22_1(X0))
    | p105(X0)
    | ~ p104(X0) ),
    inference(copy,[status(esa)],[c_906]) ).

cnf(c_1526,plain,
    ( ~ epred1_1(X0)
    | ~ p106(sk3_esk22_1(X0))
    | p105(X0)
    | ~ p104(X0) ),
    inference(copy,[status(esa)],[c_1091]) ).

cnf(c_248249,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p105(X0)
    | ~ p104(X0) ),
    inference(resolution,[status(thm)],[c_75989,c_1526]) ).

cnf(c_248250,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p105(X0)
    | ~ p104(X0) ),
    inference(rewriting,[status(thm)],[c_248249]) ).

cnf(c_248255,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p105(X0)
    | ~ p104(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_248250,c_1646]) ).

cnf(c_248256,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p105(X0)
    | ~ p104(X0) ),
    inference(rewriting,[status(thm)],[c_248255]) ).

cnf(c_248262,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p105(X1)
    | ~ p104(X1) ),
    inference(resolution,[status(thm)],[c_248256,c_1342]) ).

cnf(c_248263,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p105(X1)
    | ~ p104(X1) ),
    inference(rewriting,[status(thm)],[c_248262]) ).

cnf(c_56,plain,
    ( r1(X0,sk3_esk24_1(X0))
    | ~ epred1_1(X0)
    | p104(X0)
    | ~ p103(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_232) ).

cnf(c_412,plain,
    ( r1(X0,sk3_esk24_1(X0))
    | ~ epred1_1(X0)
    | p104(X0)
    | ~ p103(X0) ),
    inference(copy,[status(esa)],[c_56]) ).

cnf(c_710,plain,
    ( r1(X0,sk3_esk24_1(X0))
    | ~ epred1_1(X0)
    | p104(X0)
    | ~ p103(X0) ),
    inference(copy,[status(esa)],[c_412]) ).

cnf(c_945,plain,
    ( r1(X0,sk3_esk24_1(X0))
    | ~ epred1_1(X0)
    | p104(X0)
    | ~ p103(X0) ),
    inference(copy,[status(esa)],[c_710]) ).

cnf(c_1054,plain,
    ( r1(X0,sk3_esk24_1(X0))
    | ~ epred1_1(X0)
    | p104(X0)
    | ~ p103(X0) ),
    inference(copy,[status(esa)],[c_945]) ).

cnf(c_1452,plain,
    ( r1(X0,sk3_esk24_1(X0))
    | ~ epred1_1(X0)
    | p104(X0)
    | ~ p103(X0) ),
    inference(copy,[status(esa)],[c_1054]) ).

cnf(c_248380,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p105(sk3_esk24_1(X0))
    | ~ p104(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    inference(resolution,[status(thm)],[c_248263,c_1452]) ).

cnf(c_248381,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p105(sk3_esk24_1(X0))
    | ~ p104(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    inference(rewriting,[status(thm)],[c_248380]) ).

cnf(c_248928,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p105(sk3_esk24_1(X0))
    | ~ p104(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_248381,c_1646]) ).

cnf(c_248929,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p105(sk3_esk24_1(X0))
    | ~ p104(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    inference(rewriting,[status(thm)],[c_248928]) ).

cnf(c_142,plain,
    ( ~ epred1_1(X0)
    | p104(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_318) ).

cnf(c_584,plain,
    ( ~ epred1_1(X0)
    | p104(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    inference(copy,[status(esa)],[c_142]) ).

cnf(c_796,plain,
    ( ~ epred1_1(X0)
    | p104(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    inference(copy,[status(esa)],[c_584]) ).

cnf(c_859,plain,
    ( ~ epred1_1(X0)
    | p104(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    inference(copy,[status(esa)],[c_796]) ).

cnf(c_1138,plain,
    ( ~ epred1_1(X0)
    | p104(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    inference(copy,[status(esa)],[c_859]) ).

cnf(c_1620,plain,
    ( ~ epred1_1(X0)
    | p104(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    inference(copy,[status(esa)],[c_1138]) ).

cnf(c_248937,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p105(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    inference(resolution,[status(thm)],[c_248929,c_1620]) ).

cnf(c_248938,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p105(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    inference(rewriting,[status(thm)],[c_248937]) ).

cnf(c_248944,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p105(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_248938,c_1646]) ).

cnf(c_248945,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p105(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    inference(rewriting,[status(thm)],[c_248944]) ).

cnf(c_98,plain,
    ( ~ epred1_1(X0)
    | ~ p105(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_274) ).

cnf(c_496,plain,
    ( ~ epred1_1(X0)
    | ~ p105(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    inference(copy,[status(esa)],[c_98]) ).

cnf(c_752,plain,
    ( ~ epred1_1(X0)
    | ~ p105(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    inference(copy,[status(esa)],[c_496]) ).

cnf(c_903,plain,
    ( ~ epred1_1(X0)
    | ~ p105(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    inference(copy,[status(esa)],[c_752]) ).

cnf(c_1094,plain,
    ( ~ epred1_1(X0)
    | ~ p105(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    inference(copy,[status(esa)],[c_903]) ).

cnf(c_1532,plain,
    ( ~ epred1_1(X0)
    | ~ p105(sk3_esk24_1(X0))
    | p104(X0)
    | ~ p103(X0) ),
    inference(copy,[status(esa)],[c_1094]) ).

cnf(c_248950,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p104(X0)
    | ~ p103(X0) ),
    inference(resolution,[status(thm)],[c_248945,c_1532]) ).

cnf(c_248951,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p104(X0)
    | ~ p103(X0) ),
    inference(rewriting,[status(thm)],[c_248950]) ).

cnf(c_248956,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p104(X0)
    | ~ p103(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_248951,c_1646]) ).

cnf(c_248957,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p104(X0)
    | ~ p103(X0) ),
    inference(rewriting,[status(thm)],[c_248956]) ).

cnf(c_248963,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p104(X1)
    | ~ p103(X1) ),
    inference(resolution,[status(thm)],[c_248957,c_1342]) ).

cnf(c_248964,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p104(X1)
    | ~ p103(X1) ),
    inference(rewriting,[status(thm)],[c_248963]) ).

cnf(c_58,plain,
    ( r1(X0,sk3_esk26_1(X0))
    | ~ epred1_1(X0)
    | p103(X0)
    | ~ p102(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_234) ).

cnf(c_416,plain,
    ( r1(X0,sk3_esk26_1(X0))
    | ~ epred1_1(X0)
    | p103(X0)
    | ~ p102(X0) ),
    inference(copy,[status(esa)],[c_58]) ).

cnf(c_712,plain,
    ( r1(X0,sk3_esk26_1(X0))
    | ~ epred1_1(X0)
    | p103(X0)
    | ~ p102(X0) ),
    inference(copy,[status(esa)],[c_416]) ).

cnf(c_943,plain,
    ( r1(X0,sk3_esk26_1(X0))
    | ~ epred1_1(X0)
    | p103(X0)
    | ~ p102(X0) ),
    inference(copy,[status(esa)],[c_712]) ).

cnf(c_1056,plain,
    ( r1(X0,sk3_esk26_1(X0))
    | ~ epred1_1(X0)
    | p103(X0)
    | ~ p102(X0) ),
    inference(copy,[status(esa)],[c_943]) ).

cnf(c_1456,plain,
    ( r1(X0,sk3_esk26_1(X0))
    | ~ epred1_1(X0)
    | p103(X0)
    | ~ p102(X0) ),
    inference(copy,[status(esa)],[c_1056]) ).

cnf(c_249085,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p104(sk3_esk26_1(X0))
    | ~ p103(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    inference(resolution,[status(thm)],[c_248964,c_1456]) ).

cnf(c_249086,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p104(sk3_esk26_1(X0))
    | ~ p103(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    inference(rewriting,[status(thm)],[c_249085]) ).

cnf(c_251115,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p104(sk3_esk26_1(X0))
    | ~ p103(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_249086,c_1646]) ).

cnf(c_251116,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p104(sk3_esk26_1(X0))
    | ~ p103(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    inference(rewriting,[status(thm)],[c_251115]) ).

cnf(c_145,plain,
    ( ~ epred1_1(X0)
    | p103(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_321) ).

cnf(c_590,plain,
    ( ~ epred1_1(X0)
    | p103(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    inference(copy,[status(esa)],[c_145]) ).

cnf(c_799,plain,
    ( ~ epred1_1(X0)
    | p103(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    inference(copy,[status(esa)],[c_590]) ).

cnf(c_856,plain,
    ( ~ epred1_1(X0)
    | p103(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    inference(copy,[status(esa)],[c_799]) ).

cnf(c_1141,plain,
    ( ~ epred1_1(X0)
    | p103(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    inference(copy,[status(esa)],[c_856]) ).

cnf(c_1626,plain,
    ( ~ epred1_1(X0)
    | p103(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    inference(copy,[status(esa)],[c_1141]) ).

cnf(c_251124,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p104(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    inference(resolution,[status(thm)],[c_251116,c_1626]) ).

cnf(c_251125,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p104(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    inference(rewriting,[status(thm)],[c_251124]) ).

cnf(c_251131,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p104(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_251125,c_1646]) ).

cnf(c_251132,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p104(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    inference(rewriting,[status(thm)],[c_251131]) ).

cnf(c_101,plain,
    ( ~ epred1_1(X0)
    | ~ p104(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_277) ).

cnf(c_502,plain,
    ( ~ epred1_1(X0)
    | ~ p104(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    inference(copy,[status(esa)],[c_101]) ).

cnf(c_755,plain,
    ( ~ epred1_1(X0)
    | ~ p104(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    inference(copy,[status(esa)],[c_502]) ).

cnf(c_900,plain,
    ( ~ epred1_1(X0)
    | ~ p104(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    inference(copy,[status(esa)],[c_755]) ).

cnf(c_1097,plain,
    ( ~ epred1_1(X0)
    | ~ p104(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    inference(copy,[status(esa)],[c_900]) ).

cnf(c_1538,plain,
    ( ~ epred1_1(X0)
    | ~ p104(sk3_esk26_1(X0))
    | p103(X0)
    | ~ p102(X0) ),
    inference(copy,[status(esa)],[c_1097]) ).

cnf(c_251137,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p103(X0)
    | ~ p102(X0) ),
    inference(resolution,[status(thm)],[c_251132,c_1538]) ).

cnf(c_251138,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p103(X0)
    | ~ p102(X0) ),
    inference(rewriting,[status(thm)],[c_251137]) ).

cnf(c_251143,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p103(X0)
    | ~ p102(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_251138,c_1646]) ).

cnf(c_251144,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p103(X0)
    | ~ p102(X0) ),
    inference(rewriting,[status(thm)],[c_251143]) ).

cnf(c_251150,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p103(X1)
    | ~ p102(X1) ),
    inference(resolution,[status(thm)],[c_251144,c_1342]) ).

cnf(c_251151,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p103(X1)
    | ~ p102(X1) ),
    inference(rewriting,[status(thm)],[c_251150]) ).

cnf(c_60,plain,
    ( r1(X0,sk3_esk28_1(X0))
    | ~ epred1_1(X0)
    | p102(X0)
    | ~ p101(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_236) ).

cnf(c_420,plain,
    ( r1(X0,sk3_esk28_1(X0))
    | ~ epred1_1(X0)
    | p102(X0)
    | ~ p101(X0) ),
    inference(copy,[status(esa)],[c_60]) ).

cnf(c_714,plain,
    ( r1(X0,sk3_esk28_1(X0))
    | ~ epred1_1(X0)
    | p102(X0)
    | ~ p101(X0) ),
    inference(copy,[status(esa)],[c_420]) ).

cnf(c_941,plain,
    ( r1(X0,sk3_esk28_1(X0))
    | ~ epred1_1(X0)
    | p102(X0)
    | ~ p101(X0) ),
    inference(copy,[status(esa)],[c_714]) ).

cnf(c_1058,plain,
    ( r1(X0,sk3_esk28_1(X0))
    | ~ epred1_1(X0)
    | p102(X0)
    | ~ p101(X0) ),
    inference(copy,[status(esa)],[c_941]) ).

cnf(c_1460,plain,
    ( r1(X0,sk3_esk28_1(X0))
    | ~ epred1_1(X0)
    | p102(X0)
    | ~ p101(X0) ),
    inference(copy,[status(esa)],[c_1058]) ).

cnf(c_251276,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p103(sk3_esk28_1(X0))
    | ~ p102(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    inference(resolution,[status(thm)],[c_251151,c_1460]) ).

cnf(c_251277,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p103(sk3_esk28_1(X0))
    | ~ p102(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    inference(rewriting,[status(thm)],[c_251276]) ).

cnf(c_251844,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p103(sk3_esk28_1(X0))
    | ~ p102(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_251277,c_1646]) ).

cnf(c_251845,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p103(sk3_esk28_1(X0))
    | ~ p102(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    inference(rewriting,[status(thm)],[c_251844]) ).

cnf(c_148,plain,
    ( ~ epred1_1(X0)
    | p102(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_324) ).

cnf(c_596,plain,
    ( ~ epred1_1(X0)
    | p102(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    inference(copy,[status(esa)],[c_148]) ).

cnf(c_802,plain,
    ( ~ epred1_1(X0)
    | p102(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    inference(copy,[status(esa)],[c_596]) ).

cnf(c_853,plain,
    ( ~ epred1_1(X0)
    | p102(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    inference(copy,[status(esa)],[c_802]) ).

cnf(c_1144,plain,
    ( ~ epred1_1(X0)
    | p102(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    inference(copy,[status(esa)],[c_853]) ).

cnf(c_1632,plain,
    ( ~ epred1_1(X0)
    | p102(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    inference(copy,[status(esa)],[c_1144]) ).

cnf(c_251853,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p103(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    inference(resolution,[status(thm)],[c_251845,c_1632]) ).

cnf(c_251854,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p103(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    inference(rewriting,[status(thm)],[c_251853]) ).

cnf(c_251860,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p103(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_251854,c_1646]) ).

cnf(c_251861,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p103(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    inference(rewriting,[status(thm)],[c_251860]) ).

cnf(c_104,plain,
    ( ~ epred1_1(X0)
    | ~ p103(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_280) ).

cnf(c_508,plain,
    ( ~ epred1_1(X0)
    | ~ p103(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    inference(copy,[status(esa)],[c_104]) ).

cnf(c_758,plain,
    ( ~ epred1_1(X0)
    | ~ p103(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    inference(copy,[status(esa)],[c_508]) ).

cnf(c_897,plain,
    ( ~ epred1_1(X0)
    | ~ p103(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    inference(copy,[status(esa)],[c_758]) ).

cnf(c_1100,plain,
    ( ~ epred1_1(X0)
    | ~ p103(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    inference(copy,[status(esa)],[c_897]) ).

cnf(c_1544,plain,
    ( ~ epred1_1(X0)
    | ~ p103(sk3_esk28_1(X0))
    | p102(X0)
    | ~ p101(X0) ),
    inference(copy,[status(esa)],[c_1100]) ).

cnf(c_251866,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p102(X0)
    | ~ p101(X0) ),
    inference(resolution,[status(thm)],[c_251861,c_1544]) ).

cnf(c_251867,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ epred1_1(X0)
    | p102(X0)
    | ~ p101(X0) ),
    inference(rewriting,[status(thm)],[c_251866]) ).

cnf(c_251872,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p102(X0)
    | ~ p101(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_251867,c_1646]) ).

cnf(c_251873,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | p102(X0)
    | ~ p101(X0) ),
    inference(rewriting,[status(thm)],[c_251872]) ).

cnf(c_62,plain,
    ( r1(X0,sk3_esk30_1(X0))
    | ~ epred1_1(X0)
    | p101(X0)
    | ~ p100(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_238) ).

cnf(c_424,plain,
    ( r1(X0,sk3_esk30_1(X0))
    | ~ epred1_1(X0)
    | p101(X0)
    | ~ p100(X0) ),
    inference(copy,[status(esa)],[c_62]) ).

cnf(c_716,plain,
    ( r1(X0,sk3_esk30_1(X0))
    | ~ epred1_1(X0)
    | p101(X0)
    | ~ p100(X0) ),
    inference(copy,[status(esa)],[c_424]) ).

cnf(c_939,plain,
    ( r1(X0,sk3_esk30_1(X0))
    | ~ epred1_1(X0)
    | p101(X0)
    | ~ p100(X0) ),
    inference(copy,[status(esa)],[c_716]) ).

cnf(c_1060,plain,
    ( r1(X0,sk3_esk30_1(X0))
    | ~ epred1_1(X0)
    | p101(X0)
    | ~ p100(X0) ),
    inference(copy,[status(esa)],[c_939]) ).

cnf(c_1464,plain,
    ( r1(X0,sk3_esk30_1(X0))
    | ~ epred1_1(X0)
    | p101(X0)
    | ~ p100(X0) ),
    inference(copy,[status(esa)],[c_1060]) ).

cnf(c_251937,plain,
    ( ~ epred1_1(sk3_esk1_0)
    | p102(sk3_esk30_1(sk3_esk1_0))
    | ~ p101(sk3_esk30_1(sk3_esk1_0))
    | p101(sk3_esk1_0)
    | ~ p100(sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_251873,c_1464]) ).

cnf(c_251938,plain,
    ( ~ epred1_1(sk3_esk1_0)
    | p102(sk3_esk30_1(sk3_esk1_0))
    | ~ p101(sk3_esk30_1(sk3_esk1_0))
    | p101(sk3_esk1_0)
    | ~ p100(sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_251937]) ).

cnf(c_173,negated_conjecture,
    p100(sk3_esk1_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_349) ).

cnf(c_646,negated_conjecture,
    p100(sk3_esk1_0),
    inference(copy,[status(esa)],[c_173]) ).

cnf(c_827,negated_conjecture,
    p100(sk3_esk1_0),
    inference(copy,[status(esa)],[c_646]) ).

cnf(c_828,negated_conjecture,
    p100(sk3_esk1_0),
    inference(copy,[status(esa)],[c_827]) ).

cnf(c_1168,negated_conjecture,
    p100(sk3_esk1_0),
    inference(copy,[status(esa)],[c_828]) ).

cnf(c_1680,negated_conjecture,
    p100(sk3_esk1_0),
    inference(copy,[status(esa)],[c_1168]) ).

cnf(c_172,negated_conjecture,
    ~ p101(sk3_esk1_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_348) ).

cnf(c_644,negated_conjecture,
    ~ p101(sk3_esk1_0),
    inference(copy,[status(esa)],[c_172]) ).

cnf(c_826,negated_conjecture,
    ~ p101(sk3_esk1_0),
    inference(copy,[status(esa)],[c_644]) ).

cnf(c_829,negated_conjecture,
    ~ p101(sk3_esk1_0),
    inference(copy,[status(esa)],[c_826]) ).

cnf(c_1167,negated_conjecture,
    ~ p101(sk3_esk1_0),
    inference(copy,[status(esa)],[c_829]) ).

cnf(c_1678,plain,
    ~ p101(sk3_esk1_0),
    inference(copy,[status(esa)],[c_1167]) ).

cnf(c_1698,plain,
    epred1_1(sk3_esk1_0),
    inference(resolution,[status(thm)],[c_1646,c_1340]) ).

cnf(c_1699,plain,
    epred1_1(sk3_esk1_0),
    inference(rewriting,[status(thm)],[c_1698]) ).

cnf(c_252018,plain,
    ( p102(sk3_esk30_1(sk3_esk1_0))
    | ~ p101(sk3_esk30_1(sk3_esk1_0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_251938,c_1680,c_1678,c_1699]) ).

cnf(c_252019,plain,
    ( p102(sk3_esk30_1(sk3_esk1_0))
    | ~ p101(sk3_esk30_1(sk3_esk1_0)) ),
    inference(rewriting,[status(thm)],[c_252018]) ).

cnf(c_151,plain,
    ( ~ epred1_1(X0)
    | p101(sk3_esk30_1(X0))
    | p101(X0)
    | ~ p100(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_327) ).

cnf(c_602,plain,
    ( ~ epred1_1(X0)
    | p101(sk3_esk30_1(X0))
    | p101(X0)
    | ~ p100(X0) ),
    inference(copy,[status(esa)],[c_151]) ).

cnf(c_805,plain,
    ( ~ epred1_1(X0)
    | p101(sk3_esk30_1(X0))
    | p101(X0)
    | ~ p100(X0) ),
    inference(copy,[status(esa)],[c_602]) ).

cnf(c_850,plain,
    ( ~ epred1_1(X0)
    | p101(sk3_esk30_1(X0))
    | p101(X0)
    | ~ p100(X0) ),
    inference(copy,[status(esa)],[c_805]) ).

cnf(c_1147,plain,
    ( ~ epred1_1(X0)
    | p101(sk3_esk30_1(X0))
    | p101(X0)
    | ~ p100(X0) ),
    inference(copy,[status(esa)],[c_850]) ).

cnf(c_1638,plain,
    ( ~ epred1_1(X0)
    | p101(sk3_esk30_1(X0))
    | p101(X0)
    | ~ p100(X0) ),
    inference(copy,[status(esa)],[c_1147]) ).

cnf(c_252024,plain,
    ( ~ epred1_1(sk3_esk1_0)
    | p102(sk3_esk30_1(sk3_esk1_0))
    | p101(sk3_esk1_0)
    | ~ p100(sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_252019,c_1638]) ).

cnf(c_252025,plain,
    ( ~ epred1_1(sk3_esk1_0)
    | p102(sk3_esk30_1(sk3_esk1_0))
    | p101(sk3_esk1_0)
    | ~ p100(sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_252024]) ).

cnf(c_252030,plain,
    p102(sk3_esk30_1(sk3_esk1_0)),
    inference(forward_subsumption_resolution,[status(thm)],[c_252025,c_1680,c_1678,c_1699]) ).

cnf(c_252031,plain,
    p102(sk3_esk30_1(sk3_esk1_0)),
    inference(rewriting,[status(thm)],[c_252030]) ).

cnf(c_107,plain,
    ( ~ epred1_1(X0)
    | ~ p102(sk3_esk30_1(X0))
    | p101(X0)
    | ~ p100(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p',c_0_283) ).

cnf(c_514,plain,
    ( ~ epred1_1(X0)
    | ~ p102(sk3_esk30_1(X0))
    | p101(X0)
    | ~ p100(X0) ),
    inference(copy,[status(esa)],[c_107]) ).

cnf(c_761,plain,
    ( ~ epred1_1(X0)
    | ~ p102(sk3_esk30_1(X0))
    | p101(X0)
    | ~ p100(X0) ),
    inference(copy,[status(esa)],[c_514]) ).

cnf(c_894,plain,
    ( ~ epred1_1(X0)
    | ~ p102(sk3_esk30_1(X0))
    | p101(X0)
    | ~ p100(X0) ),
    inference(copy,[status(esa)],[c_761]) ).

cnf(c_1103,plain,
    ( ~ epred1_1(X0)
    | ~ p102(sk3_esk30_1(X0))
    | p101(X0)
    | ~ p100(X0) ),
    inference(copy,[status(esa)],[c_894]) ).

cnf(c_1550,plain,
    ( ~ epred1_1(X0)
    | ~ p102(sk3_esk30_1(X0))
    | p101(X0)
    | ~ p100(X0) ),
    inference(copy,[status(esa)],[c_1103]) ).

cnf(c_252033,plain,
    ( ~ epred1_1(sk3_esk1_0)
    | p101(sk3_esk1_0)
    | ~ p100(sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_252031,c_1550]) ).

cnf(c_252034,plain,
    ( ~ epred1_1(sk3_esk1_0)
    | p101(sk3_esk1_0)
    | ~ p100(sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_252033]) ).

cnf(c_252038,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_252034,c_1680,c_1678,c_1699]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL674+1.015 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : iprover_modulo %s %d
% 0.12/0.33  % Computer : n008.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 11:22:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running in mono-core mode
% 0.20/0.41  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.41  % FOF problem with conjecture
% 0.20/0.41  % 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_2dd890.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_fa15ad.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_02f232 | grep -v "SZS"
% 0.20/0.43  
% 0.20/0.43  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------  iProver source info 
% 0.20/0.43  
% 0.20/0.43  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43  % git: non_committed_changes: true
% 0.20/0.43  % git: last_make_outside_of_git: true
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------ Input Options
% 0.20/0.43  
% 0.20/0.43  % --out_options                         all
% 0.20/0.43  % --tptp_safe_out                       true
% 0.20/0.43  % --problem_path                        ""
% 0.20/0.43  % --include_path                        ""
% 0.20/0.43  % --clausifier                          .//eprover
% 0.20/0.43  % --clausifier_options                  --tstp-format  
% 0.20/0.43  % --stdin                               false
% 0.20/0.43  % --dbg_backtrace                       false
% 0.20/0.43  % --dbg_dump_prop_clauses               false
% 0.20/0.43  % --dbg_dump_prop_clauses_file          -
% 0.20/0.43  % --dbg_out_stat                        false
% 0.20/0.43  
% 0.20/0.43  % ------ General Options
% 0.20/0.43  
% 0.20/0.43  % --fof                                 false
% 0.20/0.43  % --time_out_real                       150.
% 0.20/0.43  % --time_out_prep_mult                  0.2
% 0.20/0.43  % --time_out_virtual                    -1.
% 0.20/0.43  % --schedule                            none
% 0.20/0.43  % --ground_splitting                    input
% 0.20/0.43  % --splitting_nvd                       16
% 0.20/0.43  % --non_eq_to_eq                        false
% 0.20/0.43  % --prep_gs_sim                         true
% 0.20/0.43  % --prep_unflatten                      false
% 0.20/0.43  % --prep_res_sim                        true
% 0.20/0.43  % --prep_upred                          true
% 0.20/0.43  % --res_sim_input                       true
% 0.20/0.43  % --clause_weak_htbl                    true
% 0.20/0.43  % --gc_record_bc_elim                   false
% 0.20/0.43  % --symbol_type_check                   false
% 0.20/0.43  % --clausify_out                        false
% 0.20/0.43  % --large_theory_mode                   false
% 0.20/0.43  % --prep_sem_filter                     none
% 0.20/0.43  % --prep_sem_filter_out                 false
% 0.20/0.43  % --preprocessed_out                    false
% 0.20/0.43  % --sub_typing                          false
% 0.20/0.43  % --brand_transform                     false
% 0.20/0.43  % --pure_diseq_elim                     true
% 0.20/0.43  % --min_unsat_core                      false
% 0.20/0.43  % --pred_elim                           true
% 0.20/0.43  % --add_important_lit                   false
% 0.20/0.43  % --soft_assumptions                    false
% 0.20/0.43  % --reset_solvers                       false
% 0.20/0.43  % --bc_imp_inh                          []
% 0.20/0.43  % --conj_cone_tolerance                 1.5
% 0.20/0.43  % --prolific_symb_bound                 500
% 0.20/0.43  % --lt_threshold                        2000
% 0.20/0.43  
% 0.20/0.43  % ------ SAT Options
% 0.20/0.43  
% 0.20/0.43  % --sat_mode                            false
% 0.20/0.43  % --sat_fm_restart_options              ""
% 0.20/0.43  % --sat_gr_def                          false
% 0.20/0.43  % --sat_epr_types                       true
% 0.20/0.43  % --sat_non_cyclic_types                false
% 0.20/0.43  % --sat_finite_models                   false
% 0.20/0.43  % --sat_fm_lemmas                       false
% 0.20/0.43  % --sat_fm_prep                         false
% 0.20/0.43  % --sat_fm_uc_incr                      true
% 0.20/0.43  % --sat_out_model                       small
% 0.20/0.43  % --sat_out_clauses                     false
% 0.20/0.43  
% 0.20/0.43  % ------ QBF Options
% 0.20/0.43  
% 0.20/0.43  % --qbf_mode                            false
% 0.20/0.43  % --qbf_elim_univ                       true
% 0.20/0.43  % --qbf_sk_in                           true
% 0.20/0.43  % --qbf_pred_elim                       true
% 0.20/0.43  % --qbf_split                           32
% 0.20/0.43  
% 0.20/0.43  % ------ BMC1 Options
% 0.20/0.43  
% 0.20/0.43  % --bmc1_incremental                    false
% 0.20/0.43  % --bmc1_axioms                         reachable_all
% 0.20/0.43  % --bmc1_min_bound                      0
% 0.20/0.43  % --bmc1_max_bound                      -1
% 0.20/0.43  % --bmc1_max_bound_default              -1
% 0.20/0.43  % --bmc1_symbol_reachability            true
% 0.20/0.43  % --bmc1_property_lemmas                false
% 0.20/0.43  % --bmc1_k_induction                    false
% 0.20/0.43  % --bmc1_non_equiv_states               false
% 0.20/0.43  % --bmc1_deadlock                       false
% 0.20/0.43  % --bmc1_ucm                            false
% 0.20/0.43  % --bmc1_add_unsat_core                 none
% 0.20/0.43  % --bmc1_unsat_core_children            false
% 0.20/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.43  % --bmc1_out_stat                       full
% 0.20/0.43  % --bmc1_ground_init                    false
% 0.20/0.43  % --bmc1_pre_inst_next_state            false
% 0.20/0.43  % --bmc1_pre_inst_state                 false
% 0.20/0.43  % --bmc1_pre_inst_reach_state           false
% 0.20/0.43  % --bmc1_out_unsat_core                 false
% 0.20/0.43  % --bmc1_aig_witness_out                false
% 0.20/0.43  % --bmc1_verbose                        false
% 0.20/0.43  % --bmc1_dump_clauses_tptp              false
% 0.20/0.46  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.46  % --bmc1_dump_file                      -
% 0.20/0.46  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.46  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.46  % --bmc1_ucm_extend_mode                1
% 0.20/0.46  % --bmc1_ucm_init_mode                  2
% 0.20/0.46  % --bmc1_ucm_cone_mode                  none
% 0.20/0.46  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.46  % --bmc1_ucm_relax_model                4
% 0.20/0.46  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.46  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.46  % --bmc1_ucm_layered_model              none
% 0.20/0.46  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.46  
% 0.20/0.46  % ------ AIG Options
% 0.20/0.46  
% 0.20/0.46  % --aig_mode                            false
% 0.20/0.46  
% 0.20/0.46  % ------ Instantiation Options
% 0.20/0.46  
% 0.20/0.46  % --instantiation_flag                  true
% 0.20/0.46  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.46  % --inst_solver_per_active              750
% 0.20/0.46  % --inst_solver_calls_frac              0.5
% 0.20/0.46  % --inst_passive_queue_type             priority_queues
% 0.20/0.46  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.46  % --inst_passive_queues_freq            [25;2]
% 0.20/0.46  % --inst_dismatching                    true
% 0.20/0.46  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.46  % --inst_prop_sim_given                 true
% 0.20/0.46  % --inst_prop_sim_new                   false
% 0.20/0.46  % --inst_orphan_elimination             true
% 0.20/0.46  % --inst_learning_loop_flag             true
% 0.20/0.46  % --inst_learning_start                 3000
% 0.20/0.46  % --inst_learning_factor                2
% 0.20/0.46  % --inst_start_prop_sim_after_learn     3
% 0.20/0.46  % --inst_sel_renew                      solver
% 0.20/0.46  % --inst_lit_activity_flag              true
% 0.20/0.46  % --inst_out_proof                      true
% 0.20/0.46  
% 0.20/0.46  % ------ Resolution Options
% 0.20/0.46  
% 0.20/0.46  % --resolution_flag                     true
% 0.20/0.46  % --res_lit_sel                         kbo_max
% 0.20/0.46  % --res_to_prop_solver                  none
% 0.20/0.46  % --res_prop_simpl_new                  false
% 0.20/0.46  % --res_prop_simpl_given                false
% 0.20/0.46  % --res_passive_queue_type              priority_queues
% 0.20/0.46  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.46  % --res_passive_queues_freq             [15;5]
% 0.20/0.46  % --res_forward_subs                    full
% 0.20/0.46  % --res_backward_subs                   full
% 0.20/0.46  % --res_forward_subs_resolution         true
% 0.20/0.46  % --res_backward_subs_resolution        true
% 0.20/0.46  % --res_orphan_elimination              false
% 0.20/0.46  % --res_time_limit                      1000.
% 0.20/0.46  % --res_out_proof                       true
% 0.20/0.46  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_2dd890.s
% 0.20/0.46  % --modulo                              true
% 0.20/0.46  
% 0.20/0.46  % ------ Combination Options
% 0.20/0.46  
% 0.20/0.46  % --comb_res_mult                       1000
% 0.20/0.46  % --comb_inst_mult                      300
% 0.20/0.46  % ------ 
% 0.20/0.46  
% 0.20/0.46  % ------ Parsing...% successful
% 0.20/0.46  
% 0.20/0.46  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe:1:0s pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.20/0.46  
% 0.20/0.46  % ------ Proving...
% 0.20/0.46  % ------ Problem Properties 
% 0.20/0.46  
% 0.20/0.46  % 
% 0.20/0.46  % EPR                                   false
% 0.20/0.46  % Horn                                  false
% 0.20/0.46  % Has equality                          false
% 0.20/0.46  
% 0.20/0.46  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.46  
% 0.20/0.46  
% 0.20/0.46  % % ------ Current options:
% 0.20/0.46  
% 0.20/0.46  % ------ Input Options
% 0.20/0.46  
% 0.20/0.46  % --out_options                         all
% 0.20/0.46  % --tptp_safe_out                       true
% 0.20/0.46  % --problem_path                        ""
% 0.20/0.46  % --include_path                        ""
% 0.20/0.46  % --clausifier                          .//eprover
% 0.20/0.46  % --clausifier_options                  --tstp-format  
% 0.20/0.46  % --stdin                               false
% 0.20/0.46  % --dbg_backtrace                       false
% 0.20/0.46  % --dbg_dump_prop_clauses               false
% 0.20/0.46  % --dbg_dump_prop_clauses_file          -
% 0.20/0.46  % --dbg_out_stat                        false
% 0.20/0.46  
% 0.20/0.46  % ------ General Options
% 0.20/0.46  
% 0.20/0.46  % --fof                                 false
% 0.20/0.46  % --time_out_real                       150.
% 0.20/0.46  % --time_out_prep_mult                  0.2
% 0.20/0.46  % --time_out_virtual                    -1.
% 0.20/0.46  % --schedule                            none
% 0.20/0.46  % --ground_splitting                    input
% 0.20/0.46  % --splitting_nvd                       16
% 0.20/0.46  % --non_eq_to_eq                        false
% 0.20/0.46  % --prep_gs_sim                         true
% 0.20/0.46  % --prep_unflatten                      false
% 0.20/0.46  % --prep_res_sim                        true
% 0.20/0.46  % --prep_upred                          true
% 0.20/0.46  % --res_sim_input                       true
% 0.20/0.46  % --clause_weak_htbl                    true
% 0.20/0.46  % --gc_record_bc_elim                   false
% 0.20/0.46  % --symbol_type_check                   false
% 0.20/0.46  % --clausify_out                        false
% 0.20/0.46  % --large_theory_mode                   false
% 0.20/0.46  % --prep_sem_filter                     none
% 0.20/0.46  % --prep_sem_filter_out                 false
% 0.20/0.46  % --preprocessed_out                    false
% 0.20/0.46  % --sub_typing                          false
% 0.20/0.46  % --brand_transform                     false
% 0.20/0.46  % --pure_diseq_elim                     true
% 0.20/0.46  % --min_unsat_core                      false
% 0.20/0.46  % --pred_elim                           true
% 0.20/0.46  % --add_important_lit                   false
% 0.20/0.46  % --soft_assumptions                    false
% 0.20/0.46  % --reset_solvers                       false
% 0.20/0.46  % --bc_imp_inh                          []
% 0.20/0.46  % --conj_cone_tolerance                 1.5
% 0.20/0.46  % --prolific_symb_bound                 500
% 0.20/0.46  % --lt_threshold                        2000
% 0.20/0.46  
% 0.20/0.46  % ------ SAT Options
% 0.20/0.46  
% 0.20/0.46  % --sat_mode                            false
% 0.20/0.46  % --sat_fm_restart_options              ""
% 0.20/0.46  % --sat_gr_def                          false
% 0.20/0.46  % --sat_epr_types                       true
% 0.20/0.46  % --sat_non_cyclic_types                false
% 0.20/0.46  % --sat_finite_models                   false
% 0.20/0.46  % --sat_fm_lemmas                       false
% 0.20/0.46  % --sat_fm_prep                         false
% 0.20/0.46  % --sat_fm_uc_incr                      true
% 0.20/0.46  % --sat_out_model                       small
% 0.20/0.46  % --sat_out_clauses                     false
% 0.20/0.46  
% 0.20/0.46  % ------ QBF Options
% 0.20/0.46  
% 0.20/0.46  % --qbf_mode                            false
% 0.20/0.46  % --qbf_elim_univ                       true
% 0.20/0.46  % --qbf_sk_in                           true
% 0.20/0.46  % --qbf_pred_elim                       true
% 0.20/0.46  % --qbf_split                           32
% 0.20/0.46  
% 0.20/0.46  % ------ BMC1 Options
% 0.20/0.46  
% 0.20/0.46  % --bmc1_incremental                    false
% 0.20/0.46  % --bmc1_axioms                         reachable_all
% 0.20/0.46  % --bmc1_min_bound                      0
% 0.20/0.46  % --bmc1_max_bound                      -1
% 0.20/0.46  % --bmc1_max_bound_default              -1
% 0.20/0.46  % --bmc1_symbol_reachability            true
% 0.20/0.46  % --bmc1_property_lemmas                false
% 0.20/0.46  % --bmc1_k_induction                    false
% 0.20/0.46  % --bmc1_non_equiv_states               false
% 0.20/0.46  % --bmc1_deadlock                       false
% 0.20/0.46  % --bmc1_ucm                            false
% 0.20/0.46  % --bmc1_add_unsat_core                 none
% 0.20/0.46  % --bmc1_unsat_core_children            false
% 0.20/0.46  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.46  % --bmc1_out_stat                       full
% 0.20/0.46  % --bmc1_ground_init                    false
% 0.20/0.46  % --bmc1_pre_inst_next_state            false
% 0.20/0.46  % --bmc1_pre_inst_state                 false
% 0.20/0.46  % --bmc1_pre_inst_reach_state           false
% 0.20/0.46  % --bmc1_out_unsat_core                 false
% 0.20/0.46  % --bmc1_aig_witness_out                false
% 0.20/0.46  % --bmc1_verbose                        false
% 0.20/0.46  % --bmc1_dump_clauses_tptp              false
% 0.20/0.46  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.46  % --bmc1_dump_file                      -
% 0.20/0.46  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.46  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.46  % --bmc1_ucm_extend_mode                1
% 0.20/0.46  % --bmc1_ucm_init_mode                  2
% 0.20/0.46  % --bmc1_ucm_cone_mode                  none
% 0.20/0.46  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.46  % --bmc1_ucm_relax_model                4
% 0.20/0.46  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.46  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.46  % --bmc1_ucm_layered_model              none
% 0.20/0.46  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.46  
% 0.20/0.46  % ------ AIG Options
% 0.20/0.46  
% 0.20/0.46  % --aig_mode                            false
% 0.20/0.46  
% 0.20/0.46  % ------ Instantiation Options
% 0.20/0.46  
% 0.20/0.46  % --instantiation_flag                  true
% 0.20/0.46  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.46  % --inst_solver_per_active              750
% 0.20/0.46  % --inst_solver_calls_frac              0.5
% 0.20/0.46  % --inst_passive_queue_type             priority_queues
% 0.20/0.46  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.46  % --inst_passive_queues_freq            [25;2]
% 0.20/0.46  % --inst_dismatching                    true
% 0.20/0.46  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.46  % --inst_prop_sim_given                 true
% 9.67/9.89  % --inst_prop_sim_new                   false
% 9.67/9.89  % --inst_orphan_elimination             true
% 9.67/9.89  % --inst_learning_loop_flag             true
% 9.67/9.89  % --inst_learning_start                 3000
% 9.67/9.89  % --inst_learning_factor                2
% 9.67/9.89  % --inst_start_prop_sim_after_learn     3
% 9.67/9.89  % --inst_sel_renew                      solver
% 9.67/9.89  % --inst_lit_activity_flag              true
% 9.67/9.89  % --inst_out_proof                      true
% 9.67/9.89  
% 9.67/9.89  % ------ Resolution Options
% 9.67/9.89  
% 9.67/9.89  % --resolution_flag                     true
% 9.67/9.89  % --res_lit_sel                         kbo_max
% 9.67/9.89  % --res_to_prop_solver                  none
% 9.67/9.89  % --res_prop_simpl_new                  false
% 9.67/9.89  % --res_prop_simpl_given                false
% 9.67/9.89  % --res_passive_queue_type              priority_queues
% 9.67/9.89  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 9.67/9.89  % --res_passive_queues_freq             [15;5]
% 9.67/9.89  % --res_forward_subs                    full
% 9.67/9.89  % --res_backward_subs                   full
% 9.67/9.89  % --res_forward_subs_resolution         true
% 9.67/9.89  % --res_backward_subs_resolution        true
% 9.67/9.89  % --res_orphan_elimination              false
% 9.67/9.89  % --res_time_limit                      1000.
% 9.67/9.89  % --res_out_proof                       true
% 9.67/9.89  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_2dd890.s
% 9.67/9.89  % --modulo                              true
% 9.67/9.89  
% 9.67/9.89  % ------ Combination Options
% 9.67/9.89  
% 9.67/9.89  % --comb_res_mult                       1000
% 9.67/9.89  % --comb_inst_mult                      300
% 9.67/9.89  % ------ 
% 9.67/9.89  
% 9.67/9.89  
% 9.67/9.89  
% 9.67/9.89  % ------ Proving...
% 9.67/9.89  % 
% 9.67/9.89  
% 9.67/9.89  
% 9.67/9.89  %  Resolution empty clause
% 9.67/9.89  
% 9.67/9.89  % ------                             Statistics
% 9.67/9.89  
% 9.67/9.89  % ------ General
% 9.67/9.89  
% 9.67/9.89  % num_of_input_clauses:                 174
% 9.67/9.89  % num_of_input_neg_conjectures:         4
% 9.67/9.89  % num_of_splits:                        0
% 9.67/9.89  % num_of_split_atoms:                   0
% 9.67/9.89  % num_of_sem_filtered_clauses:          0
% 9.67/9.89  % num_of_subtypes:                      0
% 9.67/9.89  % monotx_restored_types:                0
% 9.67/9.89  % sat_num_of_epr_types:                 0
% 9.67/9.89  % sat_num_of_non_cyclic_types:          0
% 9.67/9.89  % sat_guarded_non_collapsed_types:      0
% 9.67/9.89  % is_epr:                               0
% 9.67/9.89  % is_horn:                              0
% 9.67/9.89  % has_eq:                               0
% 9.67/9.89  % num_pure_diseq_elim:                  0
% 9.67/9.89  % simp_replaced_by:                     0
% 9.67/9.89  % res_preprocessed:                     176
% 9.67/9.89  % prep_upred:                           0
% 9.67/9.89  % prep_unflattend:                      0
% 9.67/9.89  % pred_elim_cands:                      30
% 9.67/9.89  % pred_elim:                            1
% 9.67/9.89  % pred_elim_cl:                         3
% 9.67/9.89  % pred_elim_cycles:                     2
% 9.67/9.89  % forced_gc_time:                       0
% 9.67/9.89  % gc_basic_clause_elim:                 0
% 9.67/9.89  % parsing_time:                         0.006
% 9.67/9.89  % sem_filter_time:                      0.
% 9.67/9.89  % pred_elim_time:                       0.002
% 9.67/9.89  % out_proof_time:                       0.004
% 9.67/9.89  % monotx_time:                          0.
% 9.67/9.89  % subtype_inf_time:                     0.
% 9.67/9.89  % unif_index_cands_time:                0.016
% 9.67/9.89  % unif_index_add_time:                  0.011
% 9.67/9.89  % total_time:                           9.469
% 9.67/9.89  % num_of_symbols:                       91
% 9.67/9.89  % num_of_terms:                         126342
% 9.67/9.89  
% 9.67/9.89  % ------ Propositional Solver
% 9.67/9.89  
% 9.67/9.89  % prop_solver_calls:                    14
% 9.67/9.89  % prop_fast_solver_calls:               1458
% 9.67/9.89  % prop_num_of_clauses:                  7722
% 9.67/9.89  % prop_preprocess_simplified:           12076
% 9.67/9.89  % prop_fo_subsumed:                     0
% 9.67/9.89  % prop_solver_time:                     0.
% 9.67/9.89  % prop_fast_solver_time:                0.001
% 9.67/9.89  % prop_unsat_core_time:                 0.
% 9.67/9.89  
% 9.67/9.89  % ------ QBF 
% 9.67/9.89  
% 9.67/9.89  % qbf_q_res:                            0
% 9.67/9.89  % qbf_num_tautologies:                  0
% 9.67/9.89  % qbf_prep_cycles:                      0
% 9.67/9.89  
% 9.67/9.89  % ------ BMC1
% 9.67/9.89  
% 9.67/9.89  % bmc1_current_bound:                   -1
% 9.67/9.89  % bmc1_last_solved_bound:               -1
% 9.67/9.89  % bmc1_unsat_core_size:                 -1
% 9.67/9.89  % bmc1_unsat_core_parents_size:         -1
% 9.67/9.89  % bmc1_merge_next_fun:                  0
% 9.67/9.89  % bmc1_unsat_core_clauses_time:         0.
% 9.67/9.89  
% 9.67/9.89  % ------ Instantiation
% 9.67/9.89  
% 9.67/9.89  % inst_num_of_clauses:                  4492
% 9.67/9.89  % inst_num_in_passive:                  2148
% 9.67/9.89  % inst_num_in_active:                   2155
% 9.67/9.89  % inst_num_in_unprocessed:              120
% 9.67/9.89  % inst_num_of_loops:                    2400
% 9.67/9.89  % inst_num_of_learning_restarts:        0
% 9.67/9.89  % inst_num_moves_active_passive:        168
% 9.67/9.89  % inst_lit_activity:                    274
% 9.67/9.89  % inst_lit_activity_moves:              0
% 9.67/9.89  % inst_num_tautologies:                 69
% 9.67/9.89  % inst_num_prop_implied:                0
% 9.67/9.89  % inst_num_existing_simplified:         0
% 9.67/9.89  % inst_num_eq_res_simplified:           0
% 9.67/9.89  % inst_num_child_elim:                  0
% 9.67/9.89  % inst_num_of_dismatching_blockings:    241
% 9.67/9.89  % inst_num_of_non_proper_insts:         8784
% 9.67/9.89  % inst_num_of_duplicates:               2433
% 9.67/9.89  % inst_inst_num_from_inst_to_res:       0
% 9.67/9.89  % inst_dismatching_checking_time:       0.007
% 9.67/9.89  
% 9.67/9.89  % ------ Resolution
% 9.67/9.89  
% 9.67/9.89  % res_num_of_clauses:                   55787
% 9.67/9.89  % res_num_in_passive:                   51491
% 9.67/9.89  % res_num_in_active:                    4295
% 9.67/9.89  % res_num_of_loops:                     8980
% 9.67/9.89  % res_forward_subset_subsumed:          3580
% 9.67/9.89  % res_backward_subset_subsumed:         1
% 9.67/9.89  % res_forward_subsumed:                 1932
% 9.67/9.89  % res_backward_subsumed:                1228
% 9.72/9.89  % res_forward_subsumption_resolution:   4760
% 9.72/9.89  % res_backward_subsumption_resolution:  0
% 9.72/9.89  % res_clause_to_clause_subsumption:     319758
% 9.72/9.89  % res_orphan_elimination:               0
% 9.72/9.89  % res_tautology_del:                    765
% 9.72/9.89  % res_num_eq_res_simplified:            0
% 9.72/9.89  % res_num_sel_changes:                  0
% 9.72/9.89  % res_moves_from_active_to_pass:        0
% 9.72/9.89  
% 9.72/9.89  % Status Unsatisfiable
% 9.72/9.89  % SZS status Theorem
% 9.72/9.89  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------