TSTP Solution File: LCL686+1.005 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : LCL686+1.005 : 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 11:38:31 EDT 2022

% Result   : Theorem 0.19s 0.47s
% Output   : CNFRefutation 0.19s
% 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)
              | ~ p15(X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p1(X1) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ~ ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ ( ! [X2] :
                            ( ~ r1(X1,X2)
                            | ! [X1] :
                                ( ~ r1(X2,X1)
                                | ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ! [X2] :
                                            ( ~ r1(X1,X2)
                                            | ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ! [X2] :
                                                    ( ~ r1(X1,X2)
                                                    | ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ! [X2] :
                                                                    ( ~ r1(X1,X2)
                                                                    | ! [X1] :
                                                                        ( ~ r1(X2,X1)
                                                                        | ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ~ $true )
                                                                        | ~ ! [X2] :
                                                                              ( ~ r1(X1,X2)
                                                                              | ~ ( ( p14(X2)
                                                                                    & ~ p13(X2) )
                                                                                  | ( ~ p14(X2)
                                                                                    & p13(X2) ) ) ) )
                                                                    | ~ ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ~ ( ( p13(X1)
                                                                                & ~ p12(X1) )
                                                                              | ( ~ p13(X1)
                                                                                & p12(X1) ) ) ) )
                                                                | ~ ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ~ ( ( p12(X2)
                                                                            & ~ p11(X2) )
                                                                          | ( ~ p12(X2)
                                                                            & p11(X2) ) ) ) )
                                                            | ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ( ( p11(X1)
                                                                        & ~ p10(X1) )
                                                                      | ( ~ p11(X1)
                                                                        & p10(X1) ) ) ) )
                                                        | ~ ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | ~ ( ( p10(X2)
                                                                    & ~ p9(X2) )
                                                                  | ( ~ p10(X2)
                                                                    & p9(X2) ) ) ) )
                                                    | ~ ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ~ ( ( p9(X1)
                                                                & ~ p8(X1) )
                                                              | ( ~ p9(X1)
                                                                & p8(X1) ) ) ) )
                                                | ~ ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ~ ( ( p8(X2)
                                                            & ~ p7(X2) )
                                                          | ( ~ p8(X2)
                                                            & p7(X2) ) ) ) )
                                            | ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ~ ( ( p7(X1)
                                                        & ~ p6(X1) )
                                                      | ( ~ p7(X1)
                                                        & p6(X1) ) ) ) )
                                        | ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ ( ( p6(X2)
                                                    & ~ p5(X2) )
                                                  | ( ~ p6(X2)
                                                    & p5(X2) ) ) ) )
                                    | ~ ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ~ ( ( p5(X1)
                                                & ~ p4(X1) )
                                              | ( ~ p5(X1)
                                                & p4(X1) ) ) ) )
                                | ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ( ( p4(X2)
                                            & ~ p3(X2) )
                                          | ( ~ p4(X2)
                                            & p3(X2) ) ) ) )
                            | ~ ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ~ ( ( p3(X1)
                                        & ~ p2(X1) )
                                      | ( ~ p3(X1)
                                        & p2(X1) ) ) ) )
                        | ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ ( ( p2(X2)
                                    & ~ p1(X2) )
                                  | ( ~ p2(X2)
                                    & p1(X2) ) ) )
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | p15(X2) )
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | ( ~ p13(X2)
                              & ~ p14(X2) )
                            | ( p14(X2)
                              & p13(X2) )
                            | ( ~ p12(X2)
                              & ~ p13(X2) )
                            | ( p13(X2)
                              & p12(X2) )
                            | ( ~ p11(X2)
                              & ~ p12(X2) )
                            | ( p12(X2)
                              & p11(X2) )
                            | ( ~ p10(X2)
                              & ~ p11(X2) )
                            | ( p11(X2)
                              & p10(X2) )
                            | ( ~ p9(X2)
                              & ~ p10(X2) )
                            | ( p10(X2)
                              & p9(X2) )
                            | ( ~ p8(X2)
                              & ~ p9(X2) )
                            | ( p9(X2)
                              & p8(X2) )
                            | ( ~ p7(X2)
                              & ~ p8(X2) )
                            | ( p8(X2)
                              & p7(X2) )
                            | ( ~ p6(X2)
                              & ~ p7(X2) )
                            | ( p7(X2)
                              & p6(X2) )
                            | ( ~ p5(X2)
                              & ~ p6(X2) )
                            | ( p6(X2)
                              & p5(X2) )
                            | ( ~ p4(X2)
                              & ~ p5(X2) )
                            | ( p5(X2)
                              & p4(X2) )
                            | ( ~ p3(X2)
                              & ~ p4(X2) )
                            | ( p4(X2)
                              & p3(X2) )
                            | ( ~ p2(X2)
                              & ~ p3(X2) )
                            | ( p3(X2)
                              & p2(X2) )
                            | ( ~ p1(X2)
                              & ~ p2(X2) )
                            | ( p2(X2)
                              & p1(X2) ) ) ) ) ) ),
    file('<stdin>',main) ).

fof(c_0_1_002,plain,
    ! [X1] :
      ( epred1_1(X1)
    <=> ~ ( ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ! [X2] : ~ r1(X1,X2)
                                                          | ~ ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ~ ( ( p14(X2)
                                                                      & ~ p13(X2) )
                                                                    | ( ~ p14(X2)
                                                                      & p13(X2) ) ) ) )
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ ( ( p13(X1)
                                                                  & ~ p12(X1) )
                                                                | ( ~ p13(X1)
                                                                  & p12(X1) ) ) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ( p12(X2)
                                                              & ~ p11(X2) )
                                                            | ( ~ p12(X2)
                                                              & p11(X2) ) ) ) )
                                              | ~ ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ~ ( ( p11(X1)
                                                          & ~ p10(X1) )
                                                        | ( ~ p11(X1)
                                                          & p10(X1) ) ) ) )
                                          | ~ ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ~ ( ( p10(X2)
                                                      & ~ p9(X2) )
                                                    | ( ~ p10(X2)
                                                      & p9(X2) ) ) ) )
                                      | ~ ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ( ( p9(X1)
                                                  & ~ p8(X1) )
                                                | ( ~ p9(X1)
                                                  & p8(X1) ) ) ) )
                                  | ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ( ( p8(X2)
                                              & ~ p7(X2) )
                                            | ( ~ p8(X2)
                                              & p7(X2) ) ) ) )
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ ( ( p7(X1)
                                          & ~ p6(X1) )
                                        | ( ~ p7(X1)
                                          & p6(X1) ) ) ) )
                          | ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | ~ ( ( p6(X2)
                                      & ~ p5(X2) )
                                    | ( ~ p6(X2)
                                      & p5(X2) ) ) ) )
                      | ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ( ( p5(X1)
                                  & ~ p4(X1) )
                                | ( ~ p5(X1)
                                  & p4(X1) ) ) ) )
                  | ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( ( p4(X2)
                              & ~ p3(X2) )
                            | ( ~ p4(X2)
                              & p3(X2) ) ) ) )
              | ~ ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ ( ( p3(X1)
                          & ~ p2(X1) )
                        | ( ~ p3(X1)
                          & p2(X1) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ( p2(X2)
                      & ~ p1(X2) )
                    | ( ~ p2(X2)
                      & p1(X2) ) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p15(X2) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ( ~ p13(X2)
                & ~ p14(X2) )
              | ( p14(X2)
                & p13(X2) )
              | ( ~ p12(X2)
                & ~ p13(X2) )
              | ( p13(X2)
                & p12(X2) )
              | ( ~ p11(X2)
                & ~ p12(X2) )
              | ( p12(X2)
                & p11(X2) )
              | ( ~ p10(X2)
                & ~ p11(X2) )
              | ( p11(X2)
                & p10(X2) )
              | ( ~ p9(X2)
                & ~ p10(X2) )
              | ( p10(X2)
                & p9(X2) )
              | ( ~ p8(X2)
                & ~ p9(X2) )
              | ( p9(X2)
                & p8(X2) )
              | ( ~ p7(X2)
                & ~ p8(X2) )
              | ( p8(X2)
                & p7(X2) )
              | ( ~ p6(X2)
                & ~ p7(X2) )
              | ( p7(X2)
                & p6(X2) )
              | ( ~ p5(X2)
                & ~ p6(X2) )
              | ( p6(X2)
                & p5(X2) )
              | ( ~ p4(X2)
                & ~ p5(X2) )
              | ( p5(X2)
                & p4(X2) )
              | ( ~ p3(X2)
                & ~ p4(X2) )
              | ( p4(X2)
                & p3(X2) )
              | ( ~ p2(X2)
                & ~ p3(X2) )
              | ( p3(X2)
                & p2(X2) )
              | ( ~ p1(X2)
                & ~ p2(X2) )
              | ( p2(X2)
                & p1(X2) ) ) ) ),
    introduced(definition) ).

fof(c_0_2_003,plain,
    ! [X1] :
      ( epred1_1(X1)
     => ~ ( ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ! [X2] : ~ r1(X1,X2)
                                                          | ~ ! [X2] :
                                                                ( ~ r1(X1,X2)
                                                                | ~ ( ( p14(X2)
                                                                      & ~ p13(X2) )
                                                                    | ( ~ p14(X2)
                                                                      & p13(X2) ) ) ) )
                                                      | ~ ! [X1] :
                                                            ( ~ r1(X2,X1)
                                                            | ~ ( ( p13(X1)
                                                                  & ~ p12(X1) )
                                                                | ( ~ p13(X1)
                                                                  & p12(X1) ) ) ) )
                                                  | ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ( p12(X2)
                                                              & ~ p11(X2) )
                                                            | ( ~ p12(X2)
                                                              & p11(X2) ) ) ) )
                                              | ~ ! [X1] :
                                                    ( ~ r1(X2,X1)
                                                    | ~ ( ( p11(X1)
                                                          & ~ p10(X1) )
                                                        | ( ~ p11(X1)
                                                          & p10(X1) ) ) ) )
                                          | ~ ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ~ ( ( p10(X2)
                                                      & ~ p9(X2) )
                                                    | ( ~ p10(X2)
                                                      & p9(X2) ) ) ) )
                                      | ~ ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ( ( p9(X1)
                                                  & ~ p8(X1) )
                                                | ( ~ p9(X1)
                                                  & p8(X1) ) ) ) )
                                  | ~ ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ( ( p8(X2)
                                              & ~ p7(X2) )
                                            | ( ~ p8(X2)
                                              & p7(X2) ) ) ) )
                              | ~ ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ~ ( ( p7(X1)
                                          & ~ p6(X1) )
                                        | ( ~ p7(X1)
                                          & p6(X1) ) ) ) )
                          | ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | ~ ( ( p6(X2)
                                      & ~ p5(X2) )
                                    | ( ~ p6(X2)
                                      & p5(X2) ) ) ) )
                      | ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ( ( p5(X1)
                                  & ~ p4(X1) )
                                | ( ~ p5(X1)
                                  & p4(X1) ) ) ) )
                  | ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ ( ( p4(X2)
                              & ~ p3(X2) )
                            | ( ~ p4(X2)
                              & p3(X2) ) ) ) )
              | ~ ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ ( ( p3(X1)
                          & ~ p2(X1) )
                        | ( ~ p3(X1)
                          & p2(X1) ) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ( p2(X2)
                      & ~ p1(X2) )
                    | ( ~ p2(X2)
                      & p1(X2) ) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p15(X2) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ( ~ p13(X2)
                & ~ p14(X2) )
              | ( p14(X2)
                & p13(X2) )
              | ( ~ p12(X2)
                & ~ p13(X2) )
              | ( p13(X2)
                & p12(X2) )
              | ( ~ p11(X2)
                & ~ p12(X2) )
              | ( p12(X2)
                & p11(X2) )
              | ( ~ p10(X2)
                & ~ p11(X2) )
              | ( p11(X2)
                & p10(X2) )
              | ( ~ p9(X2)
                & ~ p10(X2) )
              | ( p10(X2)
                & p9(X2) )
              | ( ~ p8(X2)
                & ~ p9(X2) )
              | ( p9(X2)
                & p8(X2) )
              | ( ~ p7(X2)
                & ~ p8(X2) )
              | ( p8(X2)
                & p7(X2) )
              | ( ~ p6(X2)
                & ~ p7(X2) )
              | ( p7(X2)
                & p6(X2) )
              | ( ~ p5(X2)
                & ~ p6(X2) )
              | ( p6(X2)
                & p5(X2) )
              | ( ~ p4(X2)
                & ~ p5(X2) )
              | ( p5(X2)
                & p4(X2) )
              | ( ~ p3(X2)
                & ~ p4(X2) )
              | ( p4(X2)
                & p3(X2) )
              | ( ~ p2(X2)
                & ~ p3(X2) )
              | ( p3(X2)
                & p2(X2) )
              | ( ~ p1(X2)
                & ~ p2(X2) )
              | ( p2(X2)
                & p1(X2) ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_1]) ).

fof(c_0_3_004,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ! [X2] :
                ( ~ r1(X1,X2)
                | ~ p15(X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ p1(X1) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | epred1_1(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,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
      ( ( r1(X3,esk5_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk5_1(X3),esk6_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk6_1(X3),esk7_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk7_1(X3),esk8_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk8_1(X3),esk9_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk9_1(X3),esk10_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk10_1(X3),esk11_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk11_1(X3),esk12_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk12_1(X3),esk13_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk13_1(X3),esk14_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk14_1(X3),esk15_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk15_1(X3),esk16_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(esk16_1(X3),esk17_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p14(X17)
        | p13(X17)
        | ~ r1(esk16_1(X3),X17)
        | ~ epred1_1(X3) )
      & ( p14(X17)
        | ~ p13(X17)
        | ~ r1(esk16_1(X3),X17)
        | ~ epred1_1(X3) )
      & ( ~ p13(X18)
        | p12(X18)
        | ~ r1(esk15_1(X3),X18)
        | ~ epred1_1(X3) )
      & ( p13(X18)
        | ~ p12(X18)
        | ~ r1(esk15_1(X3),X18)
        | ~ epred1_1(X3) )
      & ( ~ p12(X19)
        | p11(X19)
        | ~ r1(esk14_1(X3),X19)
        | ~ epred1_1(X3) )
      & ( p12(X19)
        | ~ p11(X19)
        | ~ r1(esk14_1(X3),X19)
        | ~ epred1_1(X3) )
      & ( ~ p11(X20)
        | p10(X20)
        | ~ r1(esk13_1(X3),X20)
        | ~ epred1_1(X3) )
      & ( p11(X20)
        | ~ p10(X20)
        | ~ r1(esk13_1(X3),X20)
        | ~ epred1_1(X3) )
      & ( ~ p10(X21)
        | p9(X21)
        | ~ r1(esk12_1(X3),X21)
        | ~ epred1_1(X3) )
      & ( p10(X21)
        | ~ p9(X21)
        | ~ r1(esk12_1(X3),X21)
        | ~ epred1_1(X3) )
      & ( ~ p9(X22)
        | p8(X22)
        | ~ r1(esk11_1(X3),X22)
        | ~ epred1_1(X3) )
      & ( p9(X22)
        | ~ p8(X22)
        | ~ r1(esk11_1(X3),X22)
        | ~ epred1_1(X3) )
      & ( ~ p8(X23)
        | p7(X23)
        | ~ r1(esk10_1(X3),X23)
        | ~ epred1_1(X3) )
      & ( p8(X23)
        | ~ p7(X23)
        | ~ r1(esk10_1(X3),X23)
        | ~ epred1_1(X3) )
      & ( ~ p7(X24)
        | p6(X24)
        | ~ r1(esk9_1(X3),X24)
        | ~ epred1_1(X3) )
      & ( p7(X24)
        | ~ p6(X24)
        | ~ r1(esk9_1(X3),X24)
        | ~ epred1_1(X3) )
      & ( ~ p6(X25)
        | p5(X25)
        | ~ r1(esk8_1(X3),X25)
        | ~ epred1_1(X3) )
      & ( p6(X25)
        | ~ p5(X25)
        | ~ r1(esk8_1(X3),X25)
        | ~ epred1_1(X3) )
      & ( ~ p5(X26)
        | p4(X26)
        | ~ r1(esk7_1(X3),X26)
        | ~ epred1_1(X3) )
      & ( p5(X26)
        | ~ p4(X26)
        | ~ r1(esk7_1(X3),X26)
        | ~ epred1_1(X3) )
      & ( ~ p4(X27)
        | p3(X27)
        | ~ r1(esk6_1(X3),X27)
        | ~ epred1_1(X3) )
      & ( p4(X27)
        | ~ p3(X27)
        | ~ r1(esk6_1(X3),X27)
        | ~ epred1_1(X3) )
      & ( ~ p3(X28)
        | p2(X28)
        | ~ r1(esk5_1(X3),X28)
        | ~ epred1_1(X3) )
      & ( p3(X28)
        | ~ p2(X28)
        | ~ r1(esk5_1(X3),X28)
        | ~ epred1_1(X3) )
      & ( ~ p2(X29)
        | p1(X29)
        | ~ r1(X3,X29)
        | ~ epred1_1(X3) )
      & ( p2(X29)
        | ~ p1(X29)
        | ~ r1(X3,X29)
        | ~ epred1_1(X3) )
      & ( r1(X3,esk18_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p15(esk18_1(X3))
        | ~ epred1_1(X3) )
      & ( r1(X3,esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p13(esk19_1(X3))
        | p14(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p14(esk19_1(X3))
        | ~ p13(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p12(esk19_1(X3))
        | p13(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p13(esk19_1(X3))
        | ~ p12(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p11(esk19_1(X3))
        | p12(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p12(esk19_1(X3))
        | ~ p11(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p10(esk19_1(X3))
        | p11(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p11(esk19_1(X3))
        | ~ p10(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p9(esk19_1(X3))
        | p10(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p10(esk19_1(X3))
        | ~ p9(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p8(esk19_1(X3))
        | p9(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p9(esk19_1(X3))
        | ~ p8(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p7(esk19_1(X3))
        | p8(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p8(esk19_1(X3))
        | ~ p7(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p6(esk19_1(X3))
        | p7(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p7(esk19_1(X3))
        | ~ p6(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p5(esk19_1(X3))
        | p6(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p6(esk19_1(X3))
        | ~ p5(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p4(esk19_1(X3))
        | p5(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p5(esk19_1(X3))
        | ~ p4(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p3(esk19_1(X3))
        | p4(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p4(esk19_1(X3))
        | ~ p3(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p2(esk19_1(X3))
        | p3(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p3(esk19_1(X3))
        | ~ p2(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( p1(esk19_1(X3))
        | p2(esk19_1(X3))
        | ~ epred1_1(X3) )
      & ( ~ p2(esk19_1(X3))
        | ~ p1(esk19_1(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,
    ! [X7] :
      ( r1(esk1_0,esk2_0)
      & p15(esk2_0)
      & r1(esk2_0,esk3_0)
      & p1(esk3_0)
      & r1(esk1_0,esk4_0)
      & ( ~ r1(esk4_0,X7)
        | epred1_1(X7) ) ),
    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,
    ( p13(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk16_1(X1),X2)
    | ~ p14(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7_008,plain,
    ( p14(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk16_1(X1),X2)
    | ~ p13(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8_009,plain,
    ( p12(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk15_1(X1),X2)
    | ~ p13(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9_010,plain,
    ( p13(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk15_1(X1),X2)
    | ~ p12(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,plain,
    ( p11(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk14_1(X1),X2)
    | ~ p12(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_11,plain,
    ( p12(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk14_1(X1),X2)
    | ~ p11(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_12,plain,
    ( p10(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk13_1(X1),X2)
    | ~ p11(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_13,plain,
    ( p11(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk13_1(X1),X2)
    | ~ p10(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_14,plain,
    ( p9(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk12_1(X1),X2)
    | ~ p10(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_15,plain,
    ( p10(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk12_1(X1),X2)
    | ~ p9(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_16,plain,
    ( p8(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk11_1(X1),X2)
    | ~ p9(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_17,plain,
    ( p9(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk11_1(X1),X2)
    | ~ p8(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_18,plain,
    ( p7(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk10_1(X1),X2)
    | ~ p8(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_19,plain,
    ( p8(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk10_1(X1),X2)
    | ~ p7(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_20,plain,
    ( p6(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk9_1(X1),X2)
    | ~ p7(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_21,plain,
    ( p7(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk9_1(X1),X2)
    | ~ p6(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_22,plain,
    ( p5(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk8_1(X1),X2)
    | ~ p6(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_23,plain,
    ( p6(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk8_1(X1),X2)
    | ~ p5(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_24,plain,
    ( p4(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk7_1(X1),X2)
    | ~ p5(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_25,plain,
    ( p5(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk7_1(X1),X2)
    | ~ p4(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_26,plain,
    ( p3(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk6_1(X1),X2)
    | ~ p4(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_27,plain,
    ( p4(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk6_1(X1),X2)
    | ~ p3(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_28,plain,
    ( p2(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk5_1(X1),X2)
    | ~ p3(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_29,plain,
    ( p3(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk5_1(X1),X2)
    | ~ p2(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_30,plain,
    ( p1(X2)
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p2(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_31,plain,
    ( p2(X2)
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_32,plain,
    ( ~ epred1_1(X1)
    | ~ p13(esk19_1(X1))
    | ~ p14(esk19_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_33,plain,
    ( ~ epred1_1(X1)
    | ~ p12(esk19_1(X1))
    | ~ p13(esk19_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_34,plain,
    ( ~ epred1_1(X1)
    | ~ p11(esk19_1(X1))
    | ~ p12(esk19_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_35,plain,
    ( ~ epred1_1(X1)
    | ~ p10(esk19_1(X1))
    | ~ p11(esk19_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_36,plain,
    ( ~ epred1_1(X1)
    | ~ p9(esk19_1(X1))
    | ~ p10(esk19_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_37,plain,
    ( ~ epred1_1(X1)
    | ~ p8(esk19_1(X1))
    | ~ p9(esk19_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_38,plain,
    ( ~ epred1_1(X1)
    | ~ p7(esk19_1(X1))
    | ~ p8(esk19_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_39,plain,
    ( ~ epred1_1(X1)
    | ~ p6(esk19_1(X1))
    | ~ p7(esk19_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_40,plain,
    ( ~ epred1_1(X1)
    | ~ p5(esk19_1(X1))
    | ~ p6(esk19_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_41,plain,
    ( ~ epred1_1(X1)
    | ~ p4(esk19_1(X1))
    | ~ p5(esk19_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_42,plain,
    ( ~ epred1_1(X1)
    | ~ p3(esk19_1(X1))
    | ~ p4(esk19_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_43,plain,
    ( ~ epred1_1(X1)
    | ~ p2(esk19_1(X1))
    | ~ p3(esk19_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_44,plain,
    ( ~ epred1_1(X1)
    | ~ p1(esk19_1(X1))
    | ~ p2(esk19_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_45,plain,
    ( r1(esk5_1(X1),esk6_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_46,plain,
    ( r1(esk6_1(X1),esk7_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_47,plain,
    ( r1(esk7_1(X1),esk8_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_48,plain,
    ( r1(esk8_1(X1),esk9_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_49,plain,
    ( r1(esk9_1(X1),esk10_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_50,plain,
    ( r1(esk10_1(X1),esk11_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_51,plain,
    ( r1(esk11_1(X1),esk12_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_52,plain,
    ( r1(esk12_1(X1),esk13_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_53,plain,
    ( r1(esk13_1(X1),esk14_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_54,plain,
    ( r1(esk14_1(X1),esk15_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_55,plain,
    ( r1(esk15_1(X1),esk16_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_56,plain,
    ( r1(esk16_1(X1),esk17_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_57,plain,
    ( p14(esk19_1(X1))
    | p13(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_58,plain,
    ( p13(esk19_1(X1))
    | p12(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_59,plain,
    ( p12(esk19_1(X1))
    | p11(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_60,plain,
    ( p11(esk19_1(X1))
    | p10(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_61,plain,
    ( p10(esk19_1(X1))
    | p9(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_62,plain,
    ( p9(esk19_1(X1))
    | p8(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_63,plain,
    ( p8(esk19_1(X1))
    | p7(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_64,plain,
    ( p7(esk19_1(X1))
    | p6(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_65,plain,
    ( p6(esk19_1(X1))
    | p5(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_66,plain,
    ( p5(esk19_1(X1))
    | p4(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_67,plain,
    ( p4(esk19_1(X1))
    | p3(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_68,plain,
    ( p3(esk19_1(X1))
    | p2(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_69,plain,
    ( p2(esk19_1(X1))
    | p1(esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_70,plain,
    ( r1(X1,esk5_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_71,plain,
    ( r1(X1,esk18_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_72,plain,
    ( r1(X1,esk19_1(X1))
    | ~ epred1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_73,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk4_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_74,plain,
    ( ~ epred1_1(X1)
    | ~ p15(esk18_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_75,negated_conjecture,
    r1(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_76,negated_conjecture,
    r1(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_77,negated_conjecture,
    r1(esk1_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_78,negated_conjecture,
    p15(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_79,negated_conjecture,
    p1(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_80,plain,
    ( p13(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk16_1(X1),X2)
    | ~ p14(X2) ),
    c_0_6,
    [final] ).

cnf(c_0_81,plain,
    ( p14(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk16_1(X1),X2)
    | ~ p13(X2) ),
    c_0_7,
    [final] ).

cnf(c_0_82,plain,
    ( p12(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk15_1(X1),X2)
    | ~ p13(X2) ),
    c_0_8,
    [final] ).

cnf(c_0_83,plain,
    ( p13(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk15_1(X1),X2)
    | ~ p12(X2) ),
    c_0_9,
    [final] ).

cnf(c_0_84,plain,
    ( p11(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk14_1(X1),X2)
    | ~ p12(X2) ),
    c_0_10,
    [final] ).

cnf(c_0_85,plain,
    ( p12(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk14_1(X1),X2)
    | ~ p11(X2) ),
    c_0_11,
    [final] ).

cnf(c_0_86,plain,
    ( p10(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk13_1(X1),X2)
    | ~ p11(X2) ),
    c_0_12,
    [final] ).

cnf(c_0_87,plain,
    ( p11(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk13_1(X1),X2)
    | ~ p10(X2) ),
    c_0_13,
    [final] ).

cnf(c_0_88,plain,
    ( p9(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk12_1(X1),X2)
    | ~ p10(X2) ),
    c_0_14,
    [final] ).

cnf(c_0_89,plain,
    ( p10(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk12_1(X1),X2)
    | ~ p9(X2) ),
    c_0_15,
    [final] ).

cnf(c_0_90,plain,
    ( p8(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk11_1(X1),X2)
    | ~ p9(X2) ),
    c_0_16,
    [final] ).

cnf(c_0_91,plain,
    ( p9(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk11_1(X1),X2)
    | ~ p8(X2) ),
    c_0_17,
    [final] ).

cnf(c_0_92,plain,
    ( p7(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk10_1(X1),X2)
    | ~ p8(X2) ),
    c_0_18,
    [final] ).

cnf(c_0_93,plain,
    ( p8(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk10_1(X1),X2)
    | ~ p7(X2) ),
    c_0_19,
    [final] ).

cnf(c_0_94,plain,
    ( p6(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk9_1(X1),X2)
    | ~ p7(X2) ),
    c_0_20,
    [final] ).

cnf(c_0_95,plain,
    ( p7(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk9_1(X1),X2)
    | ~ p6(X2) ),
    c_0_21,
    [final] ).

cnf(c_0_96,plain,
    ( p5(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk8_1(X1),X2)
    | ~ p6(X2) ),
    c_0_22,
    [final] ).

cnf(c_0_97,plain,
    ( p6(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk8_1(X1),X2)
    | ~ p5(X2) ),
    c_0_23,
    [final] ).

cnf(c_0_98,plain,
    ( p4(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk7_1(X1),X2)
    | ~ p5(X2) ),
    c_0_24,
    [final] ).

cnf(c_0_99,plain,
    ( p5(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk7_1(X1),X2)
    | ~ p4(X2) ),
    c_0_25,
    [final] ).

cnf(c_0_100,plain,
    ( p3(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk6_1(X1),X2)
    | ~ p4(X2) ),
    c_0_26,
    [final] ).

cnf(c_0_101,plain,
    ( p4(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk6_1(X1),X2)
    | ~ p3(X2) ),
    c_0_27,
    [final] ).

cnf(c_0_102,plain,
    ( p2(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk5_1(X1),X2)
    | ~ p3(X2) ),
    c_0_28,
    [final] ).

cnf(c_0_103,plain,
    ( p3(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk5_1(X1),X2)
    | ~ p2(X2) ),
    c_0_29,
    [final] ).

cnf(c_0_104,plain,
    ( p1(X2)
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p2(X2) ),
    c_0_30,
    [final] ).

cnf(c_0_105,plain,
    ( p2(X2)
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ p1(X2) ),
    c_0_31,
    [final] ).

cnf(c_0_106,plain,
    ( ~ epred1_1(X1)
    | ~ p13(esk19_1(X1))
    | ~ p14(esk19_1(X1)) ),
    c_0_32,
    [final] ).

cnf(c_0_107,plain,
    ( ~ epred1_1(X1)
    | ~ p12(esk19_1(X1))
    | ~ p13(esk19_1(X1)) ),
    c_0_33,
    [final] ).

cnf(c_0_108,plain,
    ( ~ epred1_1(X1)
    | ~ p11(esk19_1(X1))
    | ~ p12(esk19_1(X1)) ),
    c_0_34,
    [final] ).

cnf(c_0_109,plain,
    ( ~ epred1_1(X1)
    | ~ p10(esk19_1(X1))
    | ~ p11(esk19_1(X1)) ),
    c_0_35,
    [final] ).

cnf(c_0_110,plain,
    ( ~ epred1_1(X1)
    | ~ p9(esk19_1(X1))
    | ~ p10(esk19_1(X1)) ),
    c_0_36,
    [final] ).

cnf(c_0_111,plain,
    ( ~ epred1_1(X1)
    | ~ p8(esk19_1(X1))
    | ~ p9(esk19_1(X1)) ),
    c_0_37,
    [final] ).

cnf(c_0_112,plain,
    ( ~ epred1_1(X1)
    | ~ p7(esk19_1(X1))
    | ~ p8(esk19_1(X1)) ),
    c_0_38,
    [final] ).

cnf(c_0_113,plain,
    ( ~ epred1_1(X1)
    | ~ p6(esk19_1(X1))
    | ~ p7(esk19_1(X1)) ),
    c_0_39,
    [final] ).

cnf(c_0_114,plain,
    ( ~ epred1_1(X1)
    | ~ p5(esk19_1(X1))
    | ~ p6(esk19_1(X1)) ),
    c_0_40,
    [final] ).

cnf(c_0_115,plain,
    ( ~ epred1_1(X1)
    | ~ p4(esk19_1(X1))
    | ~ p5(esk19_1(X1)) ),
    c_0_41,
    [final] ).

cnf(c_0_116,plain,
    ( ~ epred1_1(X1)
    | ~ p3(esk19_1(X1))
    | ~ p4(esk19_1(X1)) ),
    c_0_42,
    [final] ).

cnf(c_0_117,plain,
    ( ~ epred1_1(X1)
    | ~ p2(esk19_1(X1))
    | ~ p3(esk19_1(X1)) ),
    c_0_43,
    [final] ).

cnf(c_0_118,plain,
    ( ~ epred1_1(X1)
    | ~ p1(esk19_1(X1))
    | ~ p2(esk19_1(X1)) ),
    c_0_44,
    [final] ).

cnf(c_0_119,plain,
    ( r1(esk5_1(X1),esk6_1(X1))
    | ~ epred1_1(X1) ),
    c_0_45,
    [final] ).

cnf(c_0_120,plain,
    ( r1(esk6_1(X1),esk7_1(X1))
    | ~ epred1_1(X1) ),
    c_0_46,
    [final] ).

cnf(c_0_121,plain,
    ( r1(esk7_1(X1),esk8_1(X1))
    | ~ epred1_1(X1) ),
    c_0_47,
    [final] ).

cnf(c_0_122,plain,
    ( r1(esk8_1(X1),esk9_1(X1))
    | ~ epred1_1(X1) ),
    c_0_48,
    [final] ).

cnf(c_0_123,plain,
    ( r1(esk9_1(X1),esk10_1(X1))
    | ~ epred1_1(X1) ),
    c_0_49,
    [final] ).

cnf(c_0_124,plain,
    ( r1(esk10_1(X1),esk11_1(X1))
    | ~ epred1_1(X1) ),
    c_0_50,
    [final] ).

cnf(c_0_125,plain,
    ( r1(esk11_1(X1),esk12_1(X1))
    | ~ epred1_1(X1) ),
    c_0_51,
    [final] ).

cnf(c_0_126,plain,
    ( r1(esk12_1(X1),esk13_1(X1))
    | ~ epred1_1(X1) ),
    c_0_52,
    [final] ).

cnf(c_0_127,plain,
    ( r1(esk13_1(X1),esk14_1(X1))
    | ~ epred1_1(X1) ),
    c_0_53,
    [final] ).

cnf(c_0_128,plain,
    ( r1(esk14_1(X1),esk15_1(X1))
    | ~ epred1_1(X1) ),
    c_0_54,
    [final] ).

cnf(c_0_129,plain,
    ( r1(esk15_1(X1),esk16_1(X1))
    | ~ epred1_1(X1) ),
    c_0_55,
    [final] ).

cnf(c_0_130,plain,
    ( r1(esk16_1(X1),esk17_1(X1))
    | ~ epred1_1(X1) ),
    c_0_56,
    [final] ).

cnf(c_0_131,plain,
    ( p14(esk19_1(X1))
    | p13(esk19_1(X1))
    | ~ epred1_1(X1) ),
    c_0_57,
    [final] ).

cnf(c_0_132,plain,
    ( p13(esk19_1(X1))
    | p12(esk19_1(X1))
    | ~ epred1_1(X1) ),
    c_0_58,
    [final] ).

cnf(c_0_133,plain,
    ( p12(esk19_1(X1))
    | p11(esk19_1(X1))
    | ~ epred1_1(X1) ),
    c_0_59,
    [final] ).

cnf(c_0_134,plain,
    ( p11(esk19_1(X1))
    | p10(esk19_1(X1))
    | ~ epred1_1(X1) ),
    c_0_60,
    [final] ).

cnf(c_0_135,plain,
    ( p10(esk19_1(X1))
    | p9(esk19_1(X1))
    | ~ epred1_1(X1) ),
    c_0_61,
    [final] ).

cnf(c_0_136,plain,
    ( p9(esk19_1(X1))
    | p8(esk19_1(X1))
    | ~ epred1_1(X1) ),
    c_0_62,
    [final] ).

cnf(c_0_137,plain,
    ( p8(esk19_1(X1))
    | p7(esk19_1(X1))
    | ~ epred1_1(X1) ),
    c_0_63,
    [final] ).

cnf(c_0_138,plain,
    ( p7(esk19_1(X1))
    | p6(esk19_1(X1))
    | ~ epred1_1(X1) ),
    c_0_64,
    [final] ).

cnf(c_0_139,plain,
    ( p6(esk19_1(X1))
    | p5(esk19_1(X1))
    | ~ epred1_1(X1) ),
    c_0_65,
    [final] ).

cnf(c_0_140,plain,
    ( p5(esk19_1(X1))
    | p4(esk19_1(X1))
    | ~ epred1_1(X1) ),
    c_0_66,
    [final] ).

cnf(c_0_141,plain,
    ( p4(esk19_1(X1))
    | p3(esk19_1(X1))
    | ~ epred1_1(X1) ),
    c_0_67,
    [final] ).

cnf(c_0_142,plain,
    ( p3(esk19_1(X1))
    | p2(esk19_1(X1))
    | ~ epred1_1(X1) ),
    c_0_68,
    [final] ).

cnf(c_0_143,plain,
    ( p2(esk19_1(X1))
    | p1(esk19_1(X1))
    | ~ epred1_1(X1) ),
    c_0_69,
    [final] ).

cnf(c_0_144,plain,
    ( r1(X1,esk5_1(X1))
    | ~ epred1_1(X1) ),
    c_0_70,
    [final] ).

cnf(c_0_145,plain,
    ( r1(X1,esk18_1(X1))
    | ~ epred1_1(X1) ),
    c_0_71,
    [final] ).

cnf(c_0_146,plain,
    ( r1(X1,esk19_1(X1))
    | ~ epred1_1(X1) ),
    c_0_72,
    [final] ).

cnf(c_0_147,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk4_0,X1) ),
    c_0_73,
    [final] ).

cnf(c_0_148,plain,
    ( ~ epred1_1(X1)
    | ~ p15(esk18_1(X1)) ),
    c_0_74,
    [final] ).

cnf(c_0_149,negated_conjecture,
    r1(esk1_0,esk2_0),
    c_0_75,
    [final] ).

cnf(c_0_150,negated_conjecture,
    r1(esk2_0,esk3_0),
    c_0_76,
    [final] ).

cnf(c_0_151,negated_conjecture,
    r1(esk1_0,esk4_0),
    c_0_77,
    [final] ).

cnf(c_0_152,negated_conjecture,
    p15(esk2_0),
    c_0_78,
    [final] ).

cnf(c_0_153,negated_conjecture,
    p1(esk3_0),
    c_0_79,
    [final] ).

% End CNF derivation

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

cnf(c_26,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p2(X1)
    | p1(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_c82deb.p',c_0_104) ).

cnf(c_194,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p2(X1)
    | p1(X1) ),
    inference(copy,[status(esa)],[c_26]) ).

cnf(c_330,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p2(X1)
    | p1(X1) ),
    inference(copy,[status(esa)],[c_194]) ).

cnf(c_429,plain,
    ( ~ r1(X0,X1)
    | ~ epred1_1(X0)
    | ~ p2(X1)
    | p1(X1) ),
    inference(copy,[status(esa)],[c_330]) ).

cnf(c_65,plain,
    ( ~ epred1_1(X0)
    | p2(sk3_esk19_1(X0))
    | p1(sk3_esk19_1(X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_c82deb.p',c_0_143) ).

cnf(c_272,plain,
    ( ~ epred1_1(X0)
    | p2(sk3_esk19_1(X0))
    | p1(sk3_esk19_1(X0)) ),
    inference(copy,[status(esa)],[c_65]) ).

cnf(c_369,plain,
    ( ~ epred1_1(X0)
    | p2(sk3_esk19_1(X0))
    | p1(sk3_esk19_1(X0)) ),
    inference(copy,[status(esa)],[c_272]) ).

cnf(c_390,plain,
    ( ~ epred1_1(X0)
    | p2(sk3_esk19_1(X0))
    | p1(sk3_esk19_1(X0)) ),
    inference(copy,[status(esa)],[c_369]) ).

cnf(c_891,plain,
    ( ~ r1(X0,sk3_esk19_1(X1))
    | ~ epred1_1(X0)
    | ~ epred1_1(X1)
    | p1(sk3_esk19_1(X1)) ),
    inference(resolution,[status(thm)],[c_429,c_390]) ).

cnf(c_893,plain,
    ( ~ epred1_1(X1)
    | ~ epred1_1(X0)
    | ~ r1(X0,sk3_esk19_1(X1)) ),
    inference(global_propositional_subsumption,[status(thm)],[c_891,c_893]) ).

cnf(c_901,plain,
    ( ~ epred1_1(X1)
    | ~ epred1_1(X0)
    | ~ r1(X0,sk3_esk19_1(X1)) ),
    inference(copy,[status(esa)],[c_893]) ).

cnf(c_908,plain,
    ( ~ epred1_1(X1)
    | ~ epred1_1(X0)
    | ~ r1(X0,sk3_esk19_1(X1)) ),
    inference(copy,[status(esa)],[c_901]) ).

cnf(c_929,plain,
    ( ~ epred1_1(X1)
    | ~ epred1_1(X0)
    | ~ r1(X0,sk3_esk19_1(X1)) ),
    inference(copy,[status(esa)],[c_908]) ).

cnf(c_1025,plain,
    ( ~ epred1_1(X1)
    | ~ epred1_1(X0)
    | ~ r1(X0,sk3_esk19_1(X1)) ),
    inference(copy,[status(esa)],[c_929]) ).

cnf(c_1026,plain,
    ( ~ r1(X0,sk3_esk19_1(X1))
    | ~ epred1_1(X1)
    | ~ epred1_1(X0) ),
    inference(rewriting,[status(thm)],[c_1025]) ).

cnf(c_68,plain,
    ( r1(X0,sk3_esk19_1(X0))
    | ~ epred1_1(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_c82deb.p',c_0_146) ).

cnf(c_278,plain,
    ( r1(X0,sk3_esk19_1(X0))
    | ~ epred1_1(X0) ),
    inference(copy,[status(esa)],[c_68]) ).

cnf(c_372,plain,
    ( r1(X0,sk3_esk19_1(X0))
    | ~ epred1_1(X0) ),
    inference(copy,[status(esa)],[c_278]) ).

cnf(c_387,plain,
    ( r1(X0,sk3_esk19_1(X0))
    | ~ epred1_1(X0) ),
    inference(copy,[status(esa)],[c_372]) ).

cnf(c_931,plain,
    ( r1(X0,sk3_esk19_1(X0))
    | ~ epred1_1(X0) ),
    inference(copy,[status(esa)],[c_387]) ).

cnf(c_1029,plain,
    ( r1(X0,sk3_esk19_1(X0))
    | ~ epred1_1(X0) ),
    inference(copy,[status(esa)],[c_931]) ).

cnf(c_1881,plain,
    ~ epred1_1(X0),
    inference(resolution,[status(thm)],[c_1026,c_1029]) ).

cnf(c_1882,plain,
    ~ epred1_1(X0),
    inference(rewriting,[status(thm)],[c_1881]) ).

cnf(c_41,plain,
    ( r1(sk3_esk5_1(X0),sk3_esk6_1(X0))
    | ~ epred1_1(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_c82deb.p',c_0_119) ).

cnf(c_224,plain,
    ( r1(sk3_esk5_1(X0),sk3_esk6_1(X0))
    | ~ epred1_1(X0) ),
    inference(copy,[status(esa)],[c_41]) ).

cnf(c_345,plain,
    ( r1(sk3_esk5_1(X0),sk3_esk6_1(X0))
    | ~ epred1_1(X0) ),
    inference(copy,[status(esa)],[c_224]) ).

cnf(c_414,plain,
    ( r1(sk3_esk5_1(X0),sk3_esk6_1(X0))
    | ~ epred1_1(X0) ),
    inference(copy,[status(esa)],[c_345]) ).

cnf(c_914,plain,
    ( r1(sk3_esk5_1(X0),sk3_esk6_1(X0))
    | ~ epred1_1(X0) ),
    inference(copy,[status(esa)],[c_414]) ).

cnf(c_995,plain,
    ( r1(sk3_esk5_1(X0),sk3_esk6_1(X0))
    | ~ epred1_1(X0) ),
    inference(copy,[status(esa)],[c_914]) ).

cnf(c_69,negated_conjecture,
    ( ~ r1(sk3_esk4_0,X0)
    | epred1_1(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_c82deb.p',c_0_147) ).

cnf(c_282,negated_conjecture,
    ( ~ r1(sk3_esk4_0,X0)
    | epred1_1(X0) ),
    inference(copy,[status(esa)],[c_69]) ).

cnf(c_373,negated_conjecture,
    ( ~ r1(sk3_esk4_0,X0)
    | epred1_1(X0) ),
    inference(copy,[status(esa)],[c_282]) ).

cnf(c_386,negated_conjecture,
    ( ~ r1(sk3_esk4_0,X0)
    | epred1_1(X0) ),
    inference(copy,[status(esa)],[c_373]) ).

cnf(c_933,negated_conjecture,
    ( ~ r1(sk3_esk4_0,X0)
    | epred1_1(X0) ),
    inference(copy,[status(esa)],[c_386]) ).

cnf(c_1033,plain,
    ( ~ r1(sk3_esk4_0,X0)
    | epred1_1(X0) ),
    inference(copy,[status(esa)],[c_933]) ).

cnf(c_1,plain,
    ( ~ r1(X0,X1)
    | ~ r1(X1,X2)
    | r1(X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_c82deb.p',c_0_8_0) ).

cnf(c_983,plain,
    ( ~ r1(X0,X1)
    | ~ r1(X1,X2)
    | r1(X0,X2) ),
    inference(copy,[status(esa)],[c_1]) ).

cnf(c_1071,plain,
    ( ~ r1(sk3_esk4_0,X0)
    | ~ r1(X0,X1)
    | epred1_1(X1) ),
    inference(resolution,[status(thm)],[c_1033,c_983]) ).

cnf(c_1072,plain,
    ( ~ r1(sk3_esk4_0,X0)
    | ~ r1(X0,X1)
    | epred1_1(X1) ),
    inference(rewriting,[status(thm)],[c_1071]) ).

cnf(c_1197,plain,
    ( ~ r1(sk3_esk4_0,sk3_esk5_1(X0))
    | epred1_1(sk3_esk6_1(X0))
    | ~ epred1_1(X0) ),
    inference(resolution,[status(thm)],[c_995,c_1072]) ).

cnf(c_1198,plain,
    ( ~ r1(sk3_esk4_0,sk3_esk5_1(X0))
    | epred1_1(sk3_esk6_1(X0))
    | ~ epred1_1(X0) ),
    inference(rewriting,[status(thm)],[c_1197]) ).

cnf(c_66,plain,
    ( r1(X0,sk3_esk5_1(X0))
    | ~ epred1_1(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_c82deb.p',c_0_144) ).

cnf(c_274,plain,
    ( r1(X0,sk3_esk5_1(X0))
    | ~ epred1_1(X0) ),
    inference(copy,[status(esa)],[c_66]) ).

cnf(c_370,plain,
    ( r1(X0,sk3_esk5_1(X0))
    | ~ epred1_1(X0) ),
    inference(copy,[status(esa)],[c_274]) ).

cnf(c_389,plain,
    ( r1(X0,sk3_esk5_1(X0))
    | ~ epred1_1(X0) ),
    inference(copy,[status(esa)],[c_370]) ).

cnf(c_928,plain,
    ( r1(X0,sk3_esk5_1(X0))
    | ~ epred1_1(X0) ),
    inference(copy,[status(esa)],[c_389]) ).

cnf(c_1023,plain,
    ( r1(X0,sk3_esk5_1(X0))
    | ~ epred1_1(X0) ),
    inference(copy,[status(esa)],[c_928]) ).

cnf(c_1245,plain,
    ( epred1_1(sk3_esk6_1(sk3_esk4_0))
    | ~ epred1_1(sk3_esk4_0) ),
    inference(resolution,[status(thm)],[c_1198,c_1023]) ).

cnf(c_1246,plain,
    ( epred1_1(sk3_esk6_1(sk3_esk4_0))
    | ~ epred1_1(sk3_esk4_0) ),
    inference(rewriting,[status(thm)],[c_1245]) ).

cnf(c_0,plain,
    r1(X0,X0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_c82deb.p',c_0_9_0) ).

cnf(c_981,plain,
    r1(X0,X0),
    inference(copy,[status(esa)],[c_0]) ).

cnf(c_1069,plain,
    epred1_1(sk3_esk4_0),
    inference(resolution,[status(thm)],[c_1033,c_981]) ).

cnf(c_1070,plain,
    epred1_1(sk3_esk4_0),
    inference(rewriting,[status(thm)],[c_1069]) ).

cnf(c_1249,plain,
    epred1_1(sk3_esk6_1(sk3_esk4_0)),
    inference(forward_subsumption_resolution,[status(thm)],[c_1246,c_1070]) ).

cnf(c_1250,plain,
    epred1_1(sk3_esk6_1(sk3_esk4_0)),
    inference(rewriting,[status(thm)],[c_1249]) ).

cnf(c_2021,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_1882,c_1250]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL686+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul  4 10:44:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.35  % Running in mono-core mode
% 0.19/0.40  % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.40  % FOF problem with conjecture
% 0.19/0.40  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_85549c.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_c82deb.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_8d8e95 | grep -v "SZS"
% 0.19/0.43  
% 0.19/0.43  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.43  
% 0.19/0.43  % 
% 0.19/0.43  % ------  iProver source info 
% 0.19/0.43  
% 0.19/0.43  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.43  % git: non_committed_changes: true
% 0.19/0.43  % git: last_make_outside_of_git: true
% 0.19/0.43  
% 0.19/0.43  % 
% 0.19/0.43  % ------ Input Options
% 0.19/0.43  
% 0.19/0.43  % --out_options                         all
% 0.19/0.43  % --tptp_safe_out                       true
% 0.19/0.43  % --problem_path                        ""
% 0.19/0.43  % --include_path                        ""
% 0.19/0.43  % --clausifier                          .//eprover
% 0.19/0.43  % --clausifier_options                  --tstp-format  
% 0.19/0.43  % --stdin                               false
% 0.19/0.43  % --dbg_backtrace                       false
% 0.19/0.43  % --dbg_dump_prop_clauses               false
% 0.19/0.43  % --dbg_dump_prop_clauses_file          -
% 0.19/0.43  % --dbg_out_stat                        false
% 0.19/0.43  
% 0.19/0.43  % ------ General Options
% 0.19/0.43  
% 0.19/0.43  % --fof                                 false
% 0.19/0.43  % --time_out_real                       150.
% 0.19/0.43  % --time_out_prep_mult                  0.2
% 0.19/0.43  % --time_out_virtual                    -1.
% 0.19/0.43  % --schedule                            none
% 0.19/0.43  % --ground_splitting                    input
% 0.19/0.43  % --splitting_nvd                       16
% 0.19/0.43  % --non_eq_to_eq                        false
% 0.19/0.43  % --prep_gs_sim                         true
% 0.19/0.43  % --prep_unflatten                      false
% 0.19/0.43  % --prep_res_sim                        true
% 0.19/0.43  % --prep_upred                          true
% 0.19/0.43  % --res_sim_input                       true
% 0.19/0.43  % --clause_weak_htbl                    true
% 0.19/0.43  % --gc_record_bc_elim                   false
% 0.19/0.43  % --symbol_type_check                   false
% 0.19/0.43  % --clausify_out                        false
% 0.19/0.43  % --large_theory_mode                   false
% 0.19/0.43  % --prep_sem_filter                     none
% 0.19/0.43  % --prep_sem_filter_out                 false
% 0.19/0.43  % --preprocessed_out                    false
% 0.19/0.43  % --sub_typing                          false
% 0.19/0.43  % --brand_transform                     false
% 0.19/0.43  % --pure_diseq_elim                     true
% 0.19/0.43  % --min_unsat_core                      false
% 0.19/0.43  % --pred_elim                           true
% 0.19/0.43  % --add_important_lit                   false
% 0.19/0.43  % --soft_assumptions                    false
% 0.19/0.43  % --reset_solvers                       false
% 0.19/0.43  % --bc_imp_inh                          []
% 0.19/0.43  % --conj_cone_tolerance                 1.5
% 0.19/0.43  % --prolific_symb_bound                 500
% 0.19/0.43  % --lt_threshold                        2000
% 0.19/0.43  
% 0.19/0.43  % ------ SAT Options
% 0.19/0.43  
% 0.19/0.43  % --sat_mode                            false
% 0.19/0.43  % --sat_fm_restart_options              ""
% 0.19/0.43  % --sat_gr_def                          false
% 0.19/0.43  % --sat_epr_types                       true
% 0.19/0.43  % --sat_non_cyclic_types                false
% 0.19/0.43  % --sat_finite_models                   false
% 0.19/0.43  % --sat_fm_lemmas                       false
% 0.19/0.43  % --sat_fm_prep                         false
% 0.19/0.43  % --sat_fm_uc_incr                      true
% 0.19/0.43  % --sat_out_model                       small
% 0.19/0.43  % --sat_out_clauses                     false
% 0.19/0.43  
% 0.19/0.43  % ------ QBF Options
% 0.19/0.43  
% 0.19/0.43  % --qbf_mode                            false
% 0.19/0.43  % --qbf_elim_univ                       true
% 0.19/0.43  % --qbf_sk_in                           true
% 0.19/0.43  % --qbf_pred_elim                       true
% 0.19/0.43  % --qbf_split                           32
% 0.19/0.43  
% 0.19/0.43  % ------ BMC1 Options
% 0.19/0.43  
% 0.19/0.43  % --bmc1_incremental                    false
% 0.19/0.43  % --bmc1_axioms                         reachable_all
% 0.19/0.43  % --bmc1_min_bound                      0
% 0.19/0.43  % --bmc1_max_bound                      -1
% 0.19/0.43  % --bmc1_max_bound_default              -1
% 0.19/0.43  % --bmc1_symbol_reachability            true
% 0.19/0.43  % --bmc1_property_lemmas                false
% 0.19/0.43  % --bmc1_k_induction                    false
% 0.19/0.43  % --bmc1_non_equiv_states               false
% 0.19/0.43  % --bmc1_deadlock                       false
% 0.19/0.43  % --bmc1_ucm                            false
% 0.19/0.43  % --bmc1_add_unsat_core                 none
% 0.19/0.43  % --bmc1_unsat_core_children            false
% 0.19/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.43  % --bmc1_out_stat                       full
% 0.19/0.43  % --bmc1_ground_init                    false
% 0.19/0.43  % --bmc1_pre_inst_next_state            false
% 0.19/0.43  % --bmc1_pre_inst_state                 false
% 0.19/0.43  % --bmc1_pre_inst_reach_state           false
% 0.19/0.43  % --bmc1_out_unsat_core                 false
% 0.19/0.43  % --bmc1_aig_witness_out                false
% 0.19/0.43  % --bmc1_verbose                        false
% 0.19/0.43  % --bmc1_dump_clauses_tptp              false
% 0.19/0.45  % --bmc1_dump_unsat_core_tptp           false
% 0.19/0.45  % --bmc1_dump_file                      -
% 0.19/0.45  % --bmc1_ucm_expand_uc_limit            128
% 0.19/0.45  % --bmc1_ucm_n_expand_iterations        6
% 0.19/0.45  % --bmc1_ucm_extend_mode                1
% 0.19/0.45  % --bmc1_ucm_init_mode                  2
% 0.19/0.45  % --bmc1_ucm_cone_mode                  none
% 0.19/0.45  % --bmc1_ucm_reduced_relation_type      0
% 0.19/0.45  % --bmc1_ucm_relax_model                4
% 0.19/0.45  % --bmc1_ucm_full_tr_after_sat          true
% 0.19/0.45  % --bmc1_ucm_expand_neg_assumptions     false
% 0.19/0.45  % --bmc1_ucm_layered_model              none
% 0.19/0.45  % --bmc1_ucm_max_lemma_size             10
% 0.19/0.45  
% 0.19/0.45  % ------ AIG Options
% 0.19/0.45  
% 0.19/0.45  % --aig_mode                            false
% 0.19/0.45  
% 0.19/0.45  % ------ Instantiation Options
% 0.19/0.45  
% 0.19/0.45  % --instantiation_flag                  true
% 0.19/0.45  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.45  % --inst_solver_per_active              750
% 0.19/0.45  % --inst_solver_calls_frac              0.5
% 0.19/0.45  % --inst_passive_queue_type             priority_queues
% 0.19/0.45  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.45  % --inst_passive_queues_freq            [25;2]
% 0.19/0.45  % --inst_dismatching                    true
% 0.19/0.45  % --inst_eager_unprocessed_to_passive   true
% 0.19/0.45  % --inst_prop_sim_given                 true
% 0.19/0.45  % --inst_prop_sim_new                   false
% 0.19/0.45  % --inst_orphan_elimination             true
% 0.19/0.45  % --inst_learning_loop_flag             true
% 0.19/0.45  % --inst_learning_start                 3000
% 0.19/0.45  % --inst_learning_factor                2
% 0.19/0.45  % --inst_start_prop_sim_after_learn     3
% 0.19/0.45  % --inst_sel_renew                      solver
% 0.19/0.45  % --inst_lit_activity_flag              true
% 0.19/0.45  % --inst_out_proof                      true
% 0.19/0.45  
% 0.19/0.45  % ------ Resolution Options
% 0.19/0.45  
% 0.19/0.45  % --resolution_flag                     true
% 0.19/0.45  % --res_lit_sel                         kbo_max
% 0.19/0.45  % --res_to_prop_solver                  none
% 0.19/0.45  % --res_prop_simpl_new                  false
% 0.19/0.45  % --res_prop_simpl_given                false
% 0.19/0.45  % --res_passive_queue_type              priority_queues
% 0.19/0.45  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.45  % --res_passive_queues_freq             [15;5]
% 0.19/0.45  % --res_forward_subs                    full
% 0.19/0.45  % --res_backward_subs                   full
% 0.19/0.45  % --res_forward_subs_resolution         true
% 0.19/0.45  % --res_backward_subs_resolution        true
% 0.19/0.45  % --res_orphan_elimination              false
% 0.19/0.45  % --res_time_limit                      1000.
% 0.19/0.45  % --res_out_proof                       true
% 0.19/0.45  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_85549c.s
% 0.19/0.45  % --modulo                              true
% 0.19/0.45  
% 0.19/0.45  % ------ Combination Options
% 0.19/0.45  
% 0.19/0.45  % --comb_res_mult                       1000
% 0.19/0.45  % --comb_inst_mult                      300
% 0.19/0.45  % ------ 
% 0.19/0.45  
% 0.19/0.45  % ------ Parsing...% successful
% 0.19/0.45  
% 0.19/0.45  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.19/0.45  
% 0.19/0.45  % ------ Proving...
% 0.19/0.45  % ------ Problem Properties 
% 0.19/0.45  
% 0.19/0.45  % 
% 0.19/0.45  % EPR                                   false
% 0.19/0.45  % Horn                                  true
% 0.19/0.45  % Has equality                          false
% 0.19/0.45  
% 0.19/0.45  % % ------ Input Options Time Limit: Unbounded
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  % % ------ Current options:
% 0.19/0.45  
% 0.19/0.45  % ------ Input Options
% 0.19/0.45  
% 0.19/0.45  % --out_options                         all
% 0.19/0.45  % --tptp_safe_out                       true
% 0.19/0.45  % --problem_path                        ""
% 0.19/0.45  % --include_path                        ""
% 0.19/0.45  % --clausifier                          .//eprover
% 0.19/0.45  % --clausifier_options                  --tstp-format  
% 0.19/0.45  % --stdin                               false
% 0.19/0.45  % --dbg_backtrace                       false
% 0.19/0.45  % --dbg_dump_prop_clauses               false
% 0.19/0.45  % --dbg_dump_prop_clauses_file          -
% 0.19/0.45  % --dbg_out_stat                        false
% 0.19/0.45  
% 0.19/0.45  % ------ General Options
% 0.19/0.45  
% 0.19/0.45  % --fof                                 false
% 0.19/0.45  % --time_out_real                       150.
% 0.19/0.45  % --time_out_prep_mult                  0.2
% 0.19/0.45  % --time_out_virtual                    -1.
% 0.19/0.45  % --schedule                            none
% 0.19/0.45  % --ground_splitting                    input
% 0.19/0.45  % --splitting_nvd                       16
% 0.19/0.45  % --non_eq_to_eq                        false
% 0.19/0.45  % --prep_gs_sim                         true
% 0.19/0.45  % --prep_unflatten                      false
% 0.19/0.45  % --prep_res_sim                        true
% 0.19/0.45  % --prep_upred                          true
% 0.19/0.45  % --res_sim_input                       true
% 0.19/0.45  % --clause_weak_htbl                    true
% 0.19/0.45  % --gc_record_bc_elim                   false
% 0.19/0.45  % --symbol_type_check                   false
% 0.19/0.45  % --clausify_out                        false
% 0.19/0.45  % --large_theory_mode                   false
% 0.19/0.45  % --prep_sem_filter                     none
% 0.19/0.45  % --prep_sem_filter_out                 false
% 0.19/0.45  % --preprocessed_out                    false
% 0.19/0.45  % --sub_typing                          false
% 0.19/0.45  % --brand_transform                     false
% 0.19/0.45  % --pure_diseq_elim                     true
% 0.19/0.45  % --min_unsat_core                      false
% 0.19/0.45  % --pred_elim                           true
% 0.19/0.45  % --add_important_lit                   false
% 0.19/0.45  % --soft_assumptions                    false
% 0.19/0.45  % --reset_solvers                       false
% 0.19/0.45  % --bc_imp_inh                          []
% 0.19/0.45  % --conj_cone_tolerance                 1.5
% 0.19/0.45  % --prolific_symb_bound                 500
% 0.19/0.45  % --lt_threshold                        2000
% 0.19/0.45  
% 0.19/0.45  % ------ SAT Options
% 0.19/0.45  
% 0.19/0.45  % --sat_mode                            false
% 0.19/0.45  % --sat_fm_restart_options              ""
% 0.19/0.45  % --sat_gr_def                          false
% 0.19/0.45  % --sat_epr_types                       true
% 0.19/0.45  % --sat_non_cyclic_types                false
% 0.19/0.45  % --sat_finite_models                   false
% 0.19/0.45  % --sat_fm_lemmas                       false
% 0.19/0.45  % --sat_fm_prep                         false
% 0.19/0.45  % --sat_fm_uc_incr                      true
% 0.19/0.45  % --sat_out_model                       small
% 0.19/0.45  % --sat_out_clauses                     false
% 0.19/0.45  
% 0.19/0.45  % ------ QBF Options
% 0.19/0.45  
% 0.19/0.45  % --qbf_mode                            false
% 0.19/0.45  % --qbf_elim_univ                       true
% 0.19/0.45  % --qbf_sk_in                           true
% 0.19/0.45  % --qbf_pred_elim                       true
% 0.19/0.45  % --qbf_split                           32
% 0.19/0.45  
% 0.19/0.45  % ------ BMC1 Options
% 0.19/0.45  
% 0.19/0.45  % --bmc1_incremental                    false
% 0.19/0.45  % --bmc1_axioms                         reachable_all
% 0.19/0.45  % --bmc1_min_bound                      0
% 0.19/0.45  % --bmc1_max_bound                      -1
% 0.19/0.45  % --bmc1_max_bound_default              -1
% 0.19/0.45  % --bmc1_symbol_reachability            true
% 0.19/0.45  % --bmc1_property_lemmas                false
% 0.19/0.45  % --bmc1_k_induction                    false
% 0.19/0.45  % --bmc1_non_equiv_states               false
% 0.19/0.45  % --bmc1_deadlock                       false
% 0.19/0.45  % --bmc1_ucm                            false
% 0.19/0.45  % --bmc1_add_unsat_core                 none
% 0.19/0.45  % --bmc1_unsat_core_children            false
% 0.19/0.45  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.45  % --bmc1_out_stat                       full
% 0.19/0.45  % --bmc1_ground_init                    false
% 0.19/0.45  % --bmc1_pre_inst_next_state            false
% 0.19/0.45  % --bmc1_pre_inst_state                 false
% 0.19/0.45  % --bmc1_pre_inst_reach_state           false
% 0.19/0.45  % --bmc1_out_unsat_core                 false
% 0.19/0.45  % --bmc1_aig_witness_out                false
% 0.19/0.45  % --bmc1_verbose                        false
% 0.19/0.45  % --bmc1_dump_clauses_tptp              false
% 0.19/0.45  % --bmc1_dump_unsat_core_tptp           false
% 0.19/0.45  % --bmc1_dump_file                      -
% 0.19/0.45  % --bmc1_ucm_expand_uc_limit            128
% 0.19/0.45  % --bmc1_ucm_n_expand_iterations        6
% 0.19/0.45  % --bmc1_ucm_extend_mode                1
% 0.19/0.45  % --bmc1_ucm_init_mode                  2
% 0.19/0.45  % --bmc1_ucm_cone_mode                  none
% 0.19/0.45  % --bmc1_ucm_reduced_relation_type      0
% 0.19/0.45  % --bmc1_ucm_relax_model                4
% 0.19/0.45  % --bmc1_ucm_full_tr_after_sat          true
% 0.19/0.45  % --bmc1_ucm_expand_neg_assumptions     false
% 0.19/0.45  % --bmc1_ucm_layered_model              none
% 0.19/0.45  % --bmc1_ucm_max_lemma_size             10
% 0.19/0.45  
% 0.19/0.45  % ------ AIG Options
% 0.19/0.45  
% 0.19/0.45  % --aig_mode                            false
% 0.19/0.45  
% 0.19/0.45  % ------ Instantiation Options
% 0.19/0.45  
% 0.19/0.45  % --instantiation_flag                  true
% 0.19/0.45  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.45  % --inst_solver_per_active              750
% 0.19/0.45  % --inst_solver_calls_frac              0.5
% 0.19/0.45  % --inst_passive_queue_type             priority_queues
% 0.19/0.45  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.45  % --inst_passive_queues_freq            [25;2]
% 0.19/0.45  % --inst_dismatching                    true
% 0.19/0.45  % --inst_eager_unprocessed_to_passive   true
% 0.19/0.47  % --inst_prop_sim_given                 true
% 0.19/0.47  % --inst_prop_sim_new                   false
% 0.19/0.47  % --inst_orphan_elimination             true
% 0.19/0.47  % --inst_learning_loop_flag             true
% 0.19/0.47  % --inst_learning_start                 3000
% 0.19/0.47  % --inst_learning_factor                2
% 0.19/0.47  % --inst_start_prop_sim_after_learn     3
% 0.19/0.47  % --inst_sel_renew                      solver
% 0.19/0.47  % --inst_lit_activity_flag              true
% 0.19/0.47  % --inst_out_proof                      true
% 0.19/0.47  
% 0.19/0.47  % ------ Resolution Options
% 0.19/0.47  
% 0.19/0.47  % --resolution_flag                     true
% 0.19/0.47  % --res_lit_sel                         kbo_max
% 0.19/0.47  % --res_to_prop_solver                  none
% 0.19/0.47  % --res_prop_simpl_new                  false
% 0.19/0.47  % --res_prop_simpl_given                false
% 0.19/0.47  % --res_passive_queue_type              priority_queues
% 0.19/0.47  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.47  % --res_passive_queues_freq             [15;5]
% 0.19/0.47  % --res_forward_subs                    full
% 0.19/0.47  % --res_backward_subs                   full
% 0.19/0.47  % --res_forward_subs_resolution         true
% 0.19/0.47  % --res_backward_subs_resolution        true
% 0.19/0.47  % --res_orphan_elimination              false
% 0.19/0.47  % --res_time_limit                      1000.
% 0.19/0.47  % --res_out_proof                       true
% 0.19/0.47  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_85549c.s
% 0.19/0.47  % --modulo                              true
% 0.19/0.47  
% 0.19/0.47  % ------ Combination Options
% 0.19/0.47  
% 0.19/0.47  % --comb_res_mult                       1000
% 0.19/0.47  % --comb_inst_mult                      300
% 0.19/0.47  % ------ 
% 0.19/0.47  
% 0.19/0.47  
% 0.19/0.47  
% 0.19/0.47  % ------ Proving...
% 0.19/0.47  % 
% 0.19/0.47  
% 0.19/0.47  
% 0.19/0.47  %  Resolution empty clause
% 0.19/0.47  
% 0.19/0.47  % ------                             Statistics
% 0.19/0.47  
% 0.19/0.47  % ------ General
% 0.19/0.47  
% 0.19/0.47  % num_of_input_clauses:                 76
% 0.19/0.47  % num_of_input_neg_conjectures:         6
% 0.19/0.47  % num_of_splits:                        0
% 0.19/0.47  % num_of_split_atoms:                   0
% 0.19/0.47  % num_of_sem_filtered_clauses:          0
% 0.19/0.47  % num_of_subtypes:                      0
% 0.19/0.47  % monotx_restored_types:                0
% 0.19/0.47  % sat_num_of_epr_types:                 0
% 0.19/0.47  % sat_num_of_non_cyclic_types:          0
% 0.19/0.47  % sat_guarded_non_collapsed_types:      0
% 0.19/0.47  % is_epr:                               0
% 0.19/0.47  % is_horn:                              1
% 0.19/0.47  % has_eq:                               0
% 0.19/0.47  % num_pure_diseq_elim:                  0
% 0.19/0.47  % simp_replaced_by:                     0
% 0.19/0.47  % res_preprocessed:                     80
% 0.19/0.47  % prep_upred:                           0
% 0.19/0.47  % prep_unflattend:                      0
% 0.19/0.47  % pred_elim_cands:                      13
% 0.19/0.47  % pred_elim:                            13
% 0.19/0.47  % pred_elim_cl:                         39
% 0.19/0.47  % pred_elim_cycles:                     14
% 0.19/0.47  % forced_gc_time:                       0
% 0.19/0.47  % gc_basic_clause_elim:                 0
% 0.19/0.47  % parsing_time:                         0.002
% 0.19/0.47  % sem_filter_time:                      0.
% 0.19/0.47  % pred_elim_time:                       0.009
% 0.19/0.47  % out_proof_time:                       0.002
% 0.19/0.47  % monotx_time:                          0.
% 0.19/0.47  % subtype_inf_time:                     0.
% 0.19/0.47  % unif_index_cands_time:                0.
% 0.19/0.47  % unif_index_add_time:                  0.
% 0.19/0.47  % total_time:                           0.057
% 0.19/0.47  % num_of_symbols:                       61
% 0.19/0.47  % num_of_terms:                         830
% 0.19/0.47  
% 0.19/0.47  % ------ Propositional Solver
% 0.19/0.47  
% 0.19/0.47  % prop_solver_calls:                    1
% 0.19/0.47  % prop_fast_solver_calls:               592
% 0.19/0.47  % prop_num_of_clauses:                  224
% 0.19/0.47  % prop_preprocess_simplified:           962
% 0.19/0.47  % prop_fo_subsumed:                     13
% 0.19/0.47  % prop_solver_time:                     0.
% 0.19/0.47  % prop_fast_solver_time:                0.
% 0.19/0.47  % prop_unsat_core_time:                 0.
% 0.19/0.47  
% 0.19/0.47  % ------ QBF 
% 0.19/0.47  
% 0.19/0.47  % qbf_q_res:                            0
% 0.19/0.47  % qbf_num_tautologies:                  0
% 0.19/0.47  % qbf_prep_cycles:                      0
% 0.19/0.47  
% 0.19/0.47  % ------ BMC1
% 0.19/0.47  
% 0.19/0.47  % bmc1_current_bound:                   -1
% 0.19/0.47  % bmc1_last_solved_bound:               -1
% 0.19/0.47  % bmc1_unsat_core_size:                 -1
% 0.19/0.47  % bmc1_unsat_core_parents_size:         -1
% 0.19/0.47  % bmc1_merge_next_fun:                  0
% 0.19/0.47  % bmc1_unsat_core_clauses_time:         0.
% 0.19/0.47  
% 0.19/0.47  % ------ Instantiation
% 0.19/0.47  
% 0.19/0.47  % inst_num_of_clauses:                  37
% 0.19/0.47  % inst_num_in_passive:                  0
% 0.19/0.47  % inst_num_in_active:                   0
% 0.19/0.47  % inst_num_in_unprocessed:              37
% 0.19/0.47  % inst_num_of_loops:                    0
% 0.19/0.47  % inst_num_of_learning_restarts:        0
% 0.19/0.47  % inst_num_moves_active_passive:        0
% 0.19/0.47  % inst_lit_activity:                    0
% 0.19/0.47  % inst_lit_activity_moves:              0
% 0.19/0.47  % inst_num_tautologies:                 0
% 0.19/0.47  % inst_num_prop_implied:                0
% 0.19/0.47  % inst_num_existing_simplified:         0
% 0.19/0.47  % inst_num_eq_res_simplified:           0
% 0.19/0.47  % inst_num_child_elim:                  0
% 0.19/0.47  % inst_num_of_dismatching_blockings:    0
% 0.19/0.47  % inst_num_of_non_proper_insts:         0
% 0.19/0.47  % inst_num_of_duplicates:               0
% 0.19/0.47  % inst_inst_num_from_inst_to_res:       0
% 0.19/0.47  % inst_dismatching_checking_time:       0.
% 0.19/0.47  
% 0.19/0.47  % ------ Resolution
% 0.19/0.47  
% 0.19/0.47  % res_num_of_clauses:                   166
% 0.19/0.47  % res_num_in_passive:                   131
% 0.19/0.47  % res_num_in_active:                    21
% 0.19/0.47  % res_num_of_loops:                     86
% 0.19/0.47  % res_forward_subset_subsumed:          71
% 0.19/0.47  % res_backward_subset_subsumed:         1
% 0.19/0.47  % res_forward_subsumed:                 6
% 0.19/0.47  % res_backward_subsumed:                42
% 0.19/0.47  % res_forward_subsumption_resolution:   11
% 0.19/0.47  % res_backward_subsumption_resolution:  17
% 0.19/0.47  % res_clause_to_clause_subsumption:     533
% 0.19/0.47  % res_orphan_elimination:               0
% 0.19/0.47  % res_tautology_del:                    0
% 0.19/0.47  % res_num_eq_res_simplified:            0
% 0.19/0.47  % res_num_sel_changes:                  0
% 0.19/0.47  % res_moves_from_active_to_pass:        0
% 0.19/0.47  
% 0.19/0.47  % Status Unsatisfiable
% 0.19/0.47  % SZS status Theorem
% 0.19/0.47  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------