TSTP Solution File: SEV515+1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SEV515+1 : TPTP v8.1.0. Released v7.0.0.
% 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 : Tue Jul 19 17:22:39 EDT 2022

% Result   : Theorem 1.75s 1.95s
% Output   : CNFRefutation 1.75s
% 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(false_only_g,axiom,
    ! [X_2,X_1] :
      ( g_false_only(X_2,X_1)
    <=> ( g_false(X_2,X_1)
        & ~ g_true(X_2,X_1) ) ),
    input ).

fof(false_only_g_0,plain,
    ! [X_1,X_2] :
      ( g_false_only(X_2,X_1)
      | ~ ( g_false(X_2,X_1)
          & ~ g_true(X_2,X_1) ) ),
    inference(orientation,[status(thm)],[false_only_g]) ).

fof(false_only_g_1,plain,
    ! [X_1,X_2] :
      ( ~ g_false_only(X_2,X_1)
      | ( g_false(X_2,X_1)
        & ~ g_true(X_2,X_1) ) ),
    inference(orientation,[status(thm)],[false_only_g]) ).

fof(both_g,axiom,
    ! [X_2,X_1] :
      ( g_both(X_2,X_1)
    <=> ( g_true(X_2,X_1)
        & g_false(X_2,X_1) ) ),
    input ).

fof(both_g_0,plain,
    ! [X_1,X_2] :
      ( g_both(X_2,X_1)
      | ~ ( g_true(X_2,X_1)
          & g_false(X_2,X_1) ) ),
    inference(orientation,[status(thm)],[both_g]) ).

fof(both_g_1,plain,
    ! [X_1,X_2] :
      ( ~ g_both(X_2,X_1)
      | ( g_true(X_2,X_1)
        & g_false(X_2,X_1) ) ),
    inference(orientation,[status(thm)],[both_g]) ).

fof(true_only_g,axiom,
    ! [X_2,X_1] :
      ( g_true_only(X_2,X_1)
    <=> ( g_true(X_2,X_1)
        & ~ g_false(X_2,X_1) ) ),
    input ).

fof(true_only_g_0,plain,
    ! [X_1,X_2] :
      ( g_true_only(X_2,X_1)
      | ~ ( g_true(X_2,X_1)
          & ~ g_false(X_2,X_1) ) ),
    inference(orientation,[status(thm)],[true_only_g]) ).

fof(true_only_g_1,plain,
    ! [X_1,X_2] :
      ( ~ g_true_only(X_2,X_1)
      | ( g_true(X_2,X_1)
        & ~ g_false(X_2,X_1) ) ),
    inference(orientation,[status(thm)],[true_only_g]) ).

fof(def_lhs_atom1,axiom,
    ! [X_2,X_1] :
      ( lhs_atom1(X_2,X_1)
    <=> ~ g_true_only(X_2,X_1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [X_1,X_2] :
      ( lhs_atom1(X_2,X_1)
      | ( g_true(X_2,X_1)
        & ~ g_false(X_2,X_1) ) ),
    inference(fold_definition,[status(thm)],[true_only_g_1,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [X_2,X_1] :
      ( lhs_atom2(X_2,X_1)
    <=> g_true_only(X_2,X_1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [X_1,X_2] :
      ( lhs_atom2(X_2,X_1)
      | ~ ( g_true(X_2,X_1)
          & ~ g_false(X_2,X_1) ) ),
    inference(fold_definition,[status(thm)],[true_only_g_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [X_2,X_1] :
      ( lhs_atom3(X_2,X_1)
    <=> ~ g_both(X_2,X_1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ! [X_1,X_2] :
      ( lhs_atom3(X_2,X_1)
      | ( g_true(X_2,X_1)
        & g_false(X_2,X_1) ) ),
    inference(fold_definition,[status(thm)],[both_g_1,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [X_2,X_1] :
      ( lhs_atom4(X_2,X_1)
    <=> g_both(X_2,X_1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ! [X_1,X_2] :
      ( lhs_atom4(X_2,X_1)
      | ~ ( g_true(X_2,X_1)
          & g_false(X_2,X_1) ) ),
    inference(fold_definition,[status(thm)],[both_g_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ! [X_2,X_1] :
      ( lhs_atom5(X_2,X_1)
    <=> ~ g_false_only(X_2,X_1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_4,plain,
    ! [X_1,X_2] :
      ( lhs_atom5(X_2,X_1)
      | ( g_false(X_2,X_1)
        & ~ g_true(X_2,X_1) ) ),
    inference(fold_definition,[status(thm)],[false_only_g_1,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ! [X_2,X_1] :
      ( lhs_atom6(X_2,X_1)
    <=> g_false_only(X_2,X_1) ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ! [X_1,X_2] :
      ( lhs_atom6(X_2,X_1)
      | ~ ( g_false(X_2,X_1)
          & ~ g_true(X_2,X_1) ) ),
    inference(fold_definition,[status(thm)],[false_only_g_0,def_lhs_atom6]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X1,X2] :
      ( lhs_atom4(X1,X2)
      | ~ ( g_true(X1,X2)
          & g_false(X1,X2) ) ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_1,axiom,
    ! [X1,X2] :
      ( lhs_atom6(X1,X2)
      | ~ ( g_false(X1,X2)
          & ~ g_true(X1,X2) ) ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_2,axiom,
    ! [X1,X2] :
      ( lhs_atom2(X1,X2)
      | ~ ( g_true(X1,X2)
          & ~ g_false(X1,X2) ) ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_3,axiom,
    ! [X1,X2] :
      ( lhs_atom5(X1,X2)
      | ( g_false(X1,X2)
        & ~ g_true(X1,X2) ) ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_4,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | ( g_true(X1,X2)
        & ~ g_false(X1,X2) ) ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_5,axiom,
    ! [X1,X2] :
      ( lhs_atom3(X1,X2)
      | ( g_true(X1,X2)
        & g_false(X1,X2) ) ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_6,axiom,
    ! [X1,X2] :
      ( lhs_atom4(X1,X2)
      | ~ ( g_true(X1,X2)
          & g_false(X1,X2) ) ),
    c_0_0 ).

fof(c_0_7,plain,
    ! [X1,X2] :
      ( lhs_atom6(X1,X2)
      | ~ ( g_false(X1,X2)
          & ~ g_true(X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_8,plain,
    ! [X1,X2] :
      ( lhs_atom2(X1,X2)
      | ~ ( g_true(X1,X2)
          & ~ g_false(X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_9,plain,
    ! [X1,X2] :
      ( lhs_atom5(X1,X2)
      | ( g_false(X1,X2)
        & ~ g_true(X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_10,plain,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | ( g_true(X1,X2)
        & ~ g_false(X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_11,axiom,
    ! [X1,X2] :
      ( lhs_atom3(X1,X2)
      | ( g_true(X1,X2)
        & g_false(X1,X2) ) ),
    c_0_5 ).

fof(c_0_12,plain,
    ! [X3,X4] :
      ( lhs_atom4(X3,X4)
      | ~ g_true(X3,X4)
      | ~ g_false(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).

fof(c_0_13,plain,
    ! [X3,X4] :
      ( lhs_atom6(X3,X4)
      | ~ g_false(X3,X4)
      | g_true(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).

fof(c_0_14,plain,
    ! [X3,X4] :
      ( lhs_atom2(X3,X4)
      | ~ g_true(X3,X4)
      | g_false(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).

fof(c_0_15,plain,
    ! [X3,X4] :
      ( ( g_false(X3,X4)
        | lhs_atom5(X3,X4) )
      & ( ~ g_true(X3,X4)
        | lhs_atom5(X3,X4) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_9])]) ).

fof(c_0_16,plain,
    ! [X3,X4] :
      ( ( g_true(X3,X4)
        | lhs_atom1(X3,X4) )
      & ( ~ g_false(X3,X4)
        | lhs_atom1(X3,X4) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).

fof(c_0_17,plain,
    ! [X3,X4] :
      ( ( g_true(X3,X4)
        | lhs_atom3(X3,X4) )
      & ( g_false(X3,X4)
        | lhs_atom3(X3,X4) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_11])]) ).

cnf(c_0_18,plain,
    ( lhs_atom4(X1,X2)
    | ~ g_false(X1,X2)
    | ~ g_true(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    ( g_true(X1,X2)
    | lhs_atom6(X1,X2)
    | ~ g_false(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,plain,
    ( g_false(X1,X2)
    | lhs_atom2(X1,X2)
    | ~ g_true(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,plain,
    ( lhs_atom5(X1,X2)
    | ~ g_true(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,plain,
    ( lhs_atom1(X1,X2)
    | ~ g_false(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,plain,
    ( lhs_atom5(X1,X2)
    | g_false(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_24,plain,
    ( lhs_atom3(X1,X2)
    | g_true(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,plain,
    ( lhs_atom3(X1,X2)
    | g_false(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_26,plain,
    ( lhs_atom1(X1,X2)
    | g_true(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_27,plain,
    ( lhs_atom4(X1,X2)
    | ~ g_false(X1,X2)
    | ~ g_true(X1,X2) ),
    c_0_18,
    [final] ).

cnf(c_0_28,plain,
    ( g_true(X1,X2)
    | lhs_atom6(X1,X2)
    | ~ g_false(X1,X2) ),
    c_0_19,
    [final] ).

cnf(c_0_29,plain,
    ( g_false(X1,X2)
    | lhs_atom2(X1,X2)
    | ~ g_true(X1,X2) ),
    c_0_20,
    [final] ).

cnf(c_0_30,plain,
    ( lhs_atom5(X1,X2)
    | ~ g_true(X1,X2) ),
    c_0_21,
    [final] ).

cnf(c_0_31,plain,
    ( lhs_atom1(X1,X2)
    | ~ g_false(X1,X2) ),
    c_0_22,
    [final] ).

cnf(c_0_32,plain,
    ( lhs_atom5(X1,X2)
    | g_false(X1,X2) ),
    c_0_23,
    [final] ).

cnf(c_0_33,plain,
    ( lhs_atom3(X1,X2)
    | g_true(X1,X2) ),
    c_0_24,
    [final] ).

cnf(c_0_34,plain,
    ( lhs_atom3(X1,X2)
    | g_false(X1,X2) ),
    c_0_25,
    [final] ).

cnf(c_0_35,plain,
    ( lhs_atom1(X1,X2)
    | g_true(X1,X2) ),
    c_0_26,
    [final] ).

% End CNF derivation
cnf(c_0_27_0,axiom,
    ( g_both(X1,X2)
    | ~ g_false(X1,X2)
    | ~ g_true(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_27,def_lhs_atom4]) ).

cnf(c_0_28_0,axiom,
    ( g_false_only(X1,X2)
    | g_true(X1,X2)
    | ~ g_false(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_28,def_lhs_atom6]) ).

cnf(c_0_29_0,axiom,
    ( g_true_only(X1,X2)
    | g_false(X1,X2)
    | ~ g_true(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_29,def_lhs_atom2]) ).

cnf(c_0_30_0,axiom,
    ( ~ g_false_only(X1,X2)
    | ~ g_true(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_30,def_lhs_atom5]) ).

cnf(c_0_31_0,axiom,
    ( ~ g_true_only(X1,X2)
    | ~ g_false(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_31,def_lhs_atom1]) ).

cnf(c_0_32_0,axiom,
    ( ~ g_false_only(X1,X2)
    | g_false(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_32,def_lhs_atom5]) ).

cnf(c_0_33_0,axiom,
    ( ~ g_both(X1,X2)
    | g_true(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_33,def_lhs_atom3]) ).

cnf(c_0_34_0,axiom,
    ( ~ g_both(X1,X2)
    | g_false(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_34,def_lhs_atom3]) ).

cnf(c_0_35_0,axiom,
    ( ~ g_true_only(X1,X2)
    | g_true(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_35,def_lhs_atom1]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X1,X2] :
      ( g_true_only(X1,X2)
      | g_both(X1,X2)
      | g_false_only(X1,X2) ),
    file('<stdin>',exhaustion_g) ).

fof(c_0_1_002,axiom,
    ! [X1,X2] :
      ( g_true_only(X1,X2)
      | g_both(X1,X2)
      | g_false_only(X1,X2) ),
    c_0_0 ).

fof(c_0_2_003,plain,
    ! [X3,X4] :
      ( g_true_only(X3,X4)
      | g_both(X3,X4)
      | g_false_only(X3,X4) ),
    inference(variable_rename,[status(thm)],[c_0_1]) ).

cnf(c_0_3_004,plain,
    ( g_false_only(X1,X2)
    | g_both(X1,X2)
    | g_true_only(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_005,plain,
    ( g_false_only(X1,X2)
    | g_both(X1,X2)
    | g_true_only(X1,X2) ),
    c_0_3,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_4_0,axiom,
    ( g_false_only(X1,X2)
    | g_both(X1,X2)
    | g_true_only(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4]) ).

cnf(c_0_4_1,axiom,
    ( g_both(X1,X2)
    | g_false_only(X1,X2)
    | g_true_only(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4]) ).

cnf(c_0_4_2,axiom,
    ( g_true_only(X1,X2)
    | g_both(X1,X2)
    | g_false_only(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_006,conjecture,
    ( ! [X1] :
      ? [X2] :
        ( ( g_true_only(X2,X1)
          & ( g_both(X2,X2)
            | g_true_only(X2,X2) ) )
        | ( g_both(X2,X1)
          & ( g_false_only(X2,X2)
            | g_true_only(X2,X2) ) )
        | ( g_false_only(X2,X1)
          & ( g_false_only(X2,X2)
            | g_both(X2,X2) ) ) )
    | ( ? [X1] :
          ( ? [X2] :
              ( g_both(X2,X1)
              & g_both(X2,X2) )
          & ~ ? [X2] :
                ( ( g_true_only(X2,X1)
                  & ( g_both(X2,X2)
                    | g_true_only(X2,X2) ) )
                | ( g_both(X2,X1)
                  & ( g_false_only(X2,X2)
                    | g_true_only(X2,X2) ) )
                | ( g_false_only(X2,X1)
                  & ( g_false_only(X2,X2)
                    | g_both(X2,X2) ) ) ) )
      & ~ ? [X1] :
          ! [X2] :
            ( ( g_true_only(X2,X1)
              & g_false_only(X2,X2) )
            | ( g_false_only(X2,X1)
              & g_true_only(X2,X2) ) ) ) ),
    file('<stdin>',nc1) ).

fof(c_0_1_007,negated_conjecture,
    ~ ( ! [X1] :
        ? [X2] :
          ( ( g_true_only(X2,X1)
            & ( g_both(X2,X2)
              | g_true_only(X2,X2) ) )
          | ( g_both(X2,X1)
            & ( g_false_only(X2,X2)
              | g_true_only(X2,X2) ) )
          | ( g_false_only(X2,X1)
            & ( g_false_only(X2,X2)
              | g_both(X2,X2) ) ) )
      | ( ? [X1] :
            ( ? [X2] :
                ( g_both(X2,X1)
                & g_both(X2,X2) )
            & ~ ? [X2] :
                  ( ( g_true_only(X2,X1)
                    & ( g_both(X2,X2)
                      | g_true_only(X2,X2) ) )
                  | ( g_both(X2,X1)
                    & ( g_false_only(X2,X2)
                      | g_true_only(X2,X2) ) )
                  | ( g_false_only(X2,X1)
                    & ( g_false_only(X2,X2)
                      | g_both(X2,X2) ) ) ) )
        & ~ ? [X1] :
            ! [X2] :
              ( ( g_true_only(X2,X1)
                & g_false_only(X2,X2) )
              | ( g_false_only(X2,X1)
                & g_true_only(X2,X2) ) ) ) ),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2_008,negated_conjecture,
    ! [X4,X5,X6,X7,X8,X13] :
      ( ( ~ g_both(X4,X4)
        | ~ g_true_only(X4,esk1_0) )
      & ( ~ g_true_only(X4,X4)
        | ~ g_true_only(X4,esk1_0) )
      & ( ~ g_false_only(X5,X5)
        | ~ g_both(X5,esk1_0) )
      & ( ~ g_true_only(X5,X5)
        | ~ g_both(X5,esk1_0) )
      & ( ~ g_false_only(X6,X6)
        | ~ g_false_only(X6,esk1_0) )
      & ( ~ g_both(X6,X6)
        | ~ g_false_only(X6,esk1_0) )
      & ( g_false_only(X13,esk5_0)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),X7)
        | g_both(esk3_1(X7),X7)
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),X7)
        | g_both(esk3_1(X7),X7)
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),X7)
        | g_both(esk3_1(X7),X7)
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),X7)
        | g_both(esk3_1(X7),X7)
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_both(esk3_1(X7),X7)
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_both(esk3_1(X7),X7)
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_both(esk3_1(X7),X7)
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_both(esk3_1(X7),X7)
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),X7)
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),X7)
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),X7)
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),X7)
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk2_1(X7),X7)
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),X7)
        | g_both(esk3_1(X7),X7)
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),X7)
        | g_both(esk3_1(X7),X7)
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),X7)
        | g_both(esk3_1(X7),X7)
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),X7)
        | g_both(esk3_1(X7),X7)
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_both(esk3_1(X7),X7)
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_both(esk3_1(X7),X7)
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_both(esk3_1(X7),X7)
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_both(esk3_1(X7),X7)
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),X7)
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),X7)
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),X7)
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),X7)
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_true_only(X13,esk5_0)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_false_only(X13,esk5_0)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) )
      & ( g_true_only(X13,X13)
        | g_false_only(X13,X13)
        | g_false_only(esk4_1(X7),esk4_1(X7))
        | g_both(esk4_1(X7),esk4_1(X7))
        | g_false_only(esk3_1(X7),esk3_1(X7))
        | g_true_only(esk3_1(X7),esk3_1(X7))
        | g_both(esk2_1(X7),esk2_1(X7))
        | g_true_only(esk2_1(X7),esk2_1(X7))
        | ~ g_both(X8,X7)
        | ~ g_both(X8,X8) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).

cnf(c_0_3_009,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_false_only(X3,X3)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_010,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_true_only(X3,esk5_0)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5_011,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_false_only(X3,X3)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6_012,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_true_only(X3,esk5_0)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7_013,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_false_only(X3,X3)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8_014,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_false_only(X3,X3)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9_015,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk4_1(X2),X2)
    | g_false_only(X3,X3)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10_016,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_true_only(X3,esk5_0)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11_017,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_false_only(X3,X3)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12_018,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_true_only(X3,esk5_0)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13_019,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_false_only(X3,X3)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_14_020,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk4_1(X2),X2)
    | g_true_only(X3,esk5_0)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_15_021,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk4_1(X2),X2)
    | g_false_only(X3,X3)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_16_022,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_true_only(X3,esk5_0)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_17_023,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_true_only(X3,esk5_0)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_18_024,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk4_1(X2),X2)
    | g_true_only(X3,esk5_0)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_19_025,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_both(esk3_1(X2),X2)
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_false_only(X3,X3)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_20_026,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk4_1(X2),X2)
    | g_false_only(X3,X3)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_21_027,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_false_only(esk4_1(X2),X2)
    | g_false_only(X3,X3)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_22_028,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_both(esk3_1(X2),X2)
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_true_only(X3,esk5_0)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_23_029,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_both(esk3_1(X2),X2)
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_false_only(X3,X3)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_24_030,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk4_1(X2),X2)
    | g_true_only(X3,esk5_0)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_25_031,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk4_1(X2),X2)
    | g_false_only(X3,X3)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_26_032,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_false_only(esk4_1(X2),X2)
    | g_true_only(X3,esk5_0)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_27_033,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_false_only(esk4_1(X2),X2)
    | g_false_only(X3,X3)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_28_034,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_both(esk3_1(X2),X2)
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_true_only(X3,esk5_0)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_29_035,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk4_1(X2),X2)
    | g_true_only(X3,esk5_0)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_30_036,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_false_only(esk4_1(X2),X2)
    | g_true_only(X3,esk5_0)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_31_037,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_both(esk3_1(X2),X2)
    | g_false_only(esk4_1(X2),X2)
    | g_false_only(X3,X3)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_32_038,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_both(esk3_1(X2),X2)
    | g_false_only(esk4_1(X2),X2)
    | g_true_only(X3,esk5_0)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_33_039,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_both(esk3_1(X2),X2)
    | g_false_only(esk4_1(X2),X2)
    | g_false_only(X3,X3)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_34_040,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_both(esk3_1(X2),X2)
    | g_false_only(esk4_1(X2),X2)
    | g_true_only(X3,esk5_0)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_35_041,negated_conjecture,
    ( ~ g_true_only(X1,esk1_0)
    | ~ g_both(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ g_true_only(X1,esk1_0)
    | ~ g_true_only(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ g_both(X1,esk1_0)
    | ~ g_false_only(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ g_both(X1,esk1_0)
    | ~ g_true_only(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ g_false_only(X1,esk1_0)
    | ~ g_false_only(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ g_false_only(X1,esk1_0)
    | ~ g_both(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_41,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_false_only(X3,X3)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_3,
    [final] ).

cnf(c_0_42,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_true_only(X3,esk5_0)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_4,
    [final] ).

cnf(c_0_43,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_false_only(X3,X3)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_5,
    [final] ).

cnf(c_0_44,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_true_only(X3,esk5_0)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_6,
    [final] ).

cnf(c_0_45,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_false_only(X3,X3)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_7,
    [final] ).

cnf(c_0_46,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_false_only(X3,X3)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_8,
    [final] ).

cnf(c_0_47,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk4_1(X2),X2)
    | g_false_only(X3,X3)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_9,
    [final] ).

cnf(c_0_48,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_true_only(X3,esk5_0)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_10,
    [final] ).

cnf(c_0_49,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_false_only(X3,X3)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_11,
    [final] ).

cnf(c_0_50,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_true_only(X3,esk5_0)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_12,
    [final] ).

cnf(c_0_51,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_false_only(X3,X3)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_13,
    [final] ).

cnf(c_0_52,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk4_1(X2),X2)
    | g_true_only(X3,esk5_0)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_14,
    [final] ).

cnf(c_0_53,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk4_1(X2),X2)
    | g_false_only(X3,X3)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_15,
    [final] ).

cnf(c_0_54,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_true_only(X3,esk5_0)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_16,
    [final] ).

cnf(c_0_55,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_true_only(X3,esk5_0)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_17,
    [final] ).

cnf(c_0_56,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk4_1(X2),X2)
    | g_true_only(X3,esk5_0)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_18,
    [final] ).

cnf(c_0_57,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_both(esk3_1(X2),X2)
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_false_only(X3,X3)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_19,
    [final] ).

cnf(c_0_58,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk4_1(X2),X2)
    | g_false_only(X3,X3)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_20,
    [final] ).

cnf(c_0_59,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_false_only(esk4_1(X2),X2)
    | g_false_only(X3,X3)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_21,
    [final] ).

cnf(c_0_60,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_both(esk3_1(X2),X2)
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_true_only(X3,esk5_0)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_22,
    [final] ).

cnf(c_0_61,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_both(esk3_1(X2),X2)
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_false_only(X3,X3)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_23,
    [final] ).

cnf(c_0_62,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk4_1(X2),X2)
    | g_true_only(X3,esk5_0)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_24,
    [final] ).

cnf(c_0_63,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk4_1(X2),X2)
    | g_false_only(X3,X3)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_25,
    [final] ).

cnf(c_0_64,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_false_only(esk4_1(X2),X2)
    | g_true_only(X3,esk5_0)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_26,
    [final] ).

cnf(c_0_65,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_false_only(esk4_1(X2),X2)
    | g_false_only(X3,X3)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_27,
    [final] ).

cnf(c_0_66,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_both(esk3_1(X2),X2)
    | g_both(esk4_1(X2),esk4_1(X2))
    | g_false_only(esk4_1(X2),esk4_1(X2))
    | g_true_only(X3,esk5_0)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_28,
    [final] ).

cnf(c_0_67,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_true_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk3_1(X2),esk3_1(X2))
    | g_false_only(esk4_1(X2),X2)
    | g_true_only(X3,esk5_0)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_29,
    [final] ).

cnf(c_0_68,negated_conjecture,
    ( g_true_only(esk2_1(X2),esk2_1(X2))
    | g_both(esk2_1(X2),esk2_1(X2))
    | g_both(esk3_1(X2),X2)
    | g_false_only(esk4_1(X2),X2)
    | g_true_only(X3,esk5_0)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_30,
    [final] ).

cnf(c_0_69,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_both(esk3_1(X2),X2)
    | g_false_only(esk4_1(X2),X2)
    | g_false_only(X3,X3)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_31,
    [final] ).

cnf(c_0_70,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_both(esk3_1(X2),X2)
    | g_false_only(esk4_1(X2),X2)
    | g_true_only(X3,esk5_0)
    | g_true_only(X3,X3)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_32,
    [final] ).

cnf(c_0_71,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_both(esk3_1(X2),X2)
    | g_false_only(esk4_1(X2),X2)
    | g_false_only(X3,X3)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_33,
    [final] ).

cnf(c_0_72,negated_conjecture,
    ( g_true_only(esk2_1(X2),X2)
    | g_both(esk3_1(X2),X2)
    | g_false_only(esk4_1(X2),X2)
    | g_true_only(X3,esk5_0)
    | g_false_only(X3,esk5_0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X2) ),
    c_0_34,
    [final] ).

cnf(c_0_73,negated_conjecture,
    ( ~ g_true_only(X1,esk1_0)
    | ~ g_both(X1,X1) ),
    c_0_35,
    [final] ).

cnf(c_0_74,negated_conjecture,
    ( ~ g_true_only(X1,esk1_0)
    | ~ g_true_only(X1,X1) ),
    c_0_36,
    [final] ).

cnf(c_0_75,negated_conjecture,
    ( ~ g_both(X1,esk1_0)
    | ~ g_false_only(X1,X1) ),
    c_0_37,
    [final] ).

cnf(c_0_76,negated_conjecture,
    ( ~ g_both(X1,esk1_0)
    | ~ g_true_only(X1,X1) ),
    c_0_38,
    [final] ).

cnf(c_0_77,negated_conjecture,
    ( ~ g_false_only(X1,esk1_0)
    | ~ g_false_only(X1,X1) ),
    c_0_39,
    [final] ).

cnf(c_0_78,negated_conjecture,
    ( ~ g_false_only(X1,esk1_0)
    | ~ g_both(X1,X1) ),
    c_0_40,
    [final] ).

% End CNF derivation

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

cnf(c_49,negated_conjecture,
    ( ~ g_false_only(X0,sk3_esk1_0)
    | ~ g_both(X0,X0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_78) ).

cnf(c_598,negated_conjecture,
    ( ~ g_false_only(X0,sk3_esk1_0)
    | ~ g_both(X0,X0) ),
    inference(copy,[status(esa)],[c_49]) ).

cnf(c_826,negated_conjecture,
    ( ~ g_false_only(X0,sk3_esk1_0)
    | ~ g_both(X0,X0) ),
    inference(copy,[status(esa)],[c_598]) ).

cnf(c_916,negated_conjecture,
    ( ~ g_false_only(X0,sk3_esk1_0)
    | ~ g_both(X0,X0) ),
    inference(copy,[status(esa)],[c_826]) ).

cnf(c_950,negated_conjecture,
    ( ~ g_false_only(X0,sk3_esk1_0)
    | ~ g_both(X0,X0) ),
    inference(copy,[status(esa)],[c_916]) ).

cnf(c_984,negated_conjecture,
    ( ~ g_false_only(X0,sk3_esk1_0)
    | ~ g_both(X0,X0) ),
    inference(copy,[status(esa)],[c_950]) ).

cnf(c_37290,plain,
    ( ~ g_false_only(sk3_esk4_1(sk3_esk1_0),sk3_esk1_0)
    | ~ g_both(sk3_esk4_1(sk3_esk1_0),sk3_esk4_1(sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_984]) ).

cnf(c_48,negated_conjecture,
    ( ~ g_false_only(X0,sk3_esk1_0)
    | ~ g_false_only(X0,X0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_77) ).

cnf(c_596,negated_conjecture,
    ( ~ g_false_only(X0,sk3_esk1_0)
    | ~ g_false_only(X0,X0) ),
    inference(copy,[status(esa)],[c_48]) ).

cnf(c_825,negated_conjecture,
    ( ~ g_false_only(X0,sk3_esk1_0)
    | ~ g_false_only(X0,X0) ),
    inference(copy,[status(esa)],[c_596]) ).

cnf(c_917,negated_conjecture,
    ( ~ g_false_only(X0,sk3_esk1_0)
    | ~ g_false_only(X0,X0) ),
    inference(copy,[status(esa)],[c_825]) ).

cnf(c_948,negated_conjecture,
    ( ~ g_false_only(X0,sk3_esk1_0)
    | ~ g_false_only(X0,X0) ),
    inference(copy,[status(esa)],[c_917]) ).

cnf(c_982,negated_conjecture,
    ( ~ g_false_only(X0,sk3_esk1_0)
    | ~ g_false_only(X0,X0) ),
    inference(copy,[status(esa)],[c_948]) ).

cnf(c_37276,plain,
    ( ~ g_false_only(sk3_esk4_1(sk3_esk1_0),sk3_esk4_1(sk3_esk1_0))
    | ~ g_false_only(sk3_esk4_1(sk3_esk1_0),sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_982]) ).

cnf(c_44,negated_conjecture,
    ( ~ g_both(X0,X0)
    | ~ g_true_only(X0,sk3_esk1_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_73) ).

cnf(c_588,negated_conjecture,
    ( ~ g_both(X0,X0)
    | ~ g_true_only(X0,sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_44]) ).

cnf(c_821,negated_conjecture,
    ( ~ g_both(X0,X0)
    | ~ g_true_only(X0,sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_588]) ).

cnf(c_921,negated_conjecture,
    ( ~ g_both(X0,X0)
    | ~ g_true_only(X0,sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_821]) ).

cnf(c_940,negated_conjecture,
    ( ~ g_both(X0,X0)
    | ~ g_true_only(X0,sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_921]) ).

cnf(c_974,negated_conjecture,
    ( ~ g_both(X0,X0)
    | ~ g_true_only(X0,sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_940]) ).

cnf(c_37242,plain,
    ( ~ g_both(sk3_esk2_1(sk3_esk1_0),sk3_esk2_1(sk3_esk1_0))
    | ~ g_true_only(sk3_esk2_1(sk3_esk1_0),sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_974]) ).

cnf(c_45,negated_conjecture,
    ( ~ g_true_only(X0,sk3_esk1_0)
    | ~ g_true_only(X0,X0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_74) ).

cnf(c_590,negated_conjecture,
    ( ~ g_true_only(X0,sk3_esk1_0)
    | ~ g_true_only(X0,X0) ),
    inference(copy,[status(esa)],[c_45]) ).

cnf(c_822,negated_conjecture,
    ( ~ g_true_only(X0,sk3_esk1_0)
    | ~ g_true_only(X0,X0) ),
    inference(copy,[status(esa)],[c_590]) ).

cnf(c_920,negated_conjecture,
    ( ~ g_true_only(X0,sk3_esk1_0)
    | ~ g_true_only(X0,X0) ),
    inference(copy,[status(esa)],[c_822]) ).

cnf(c_942,negated_conjecture,
    ( ~ g_true_only(X0,sk3_esk1_0)
    | ~ g_true_only(X0,X0) ),
    inference(copy,[status(esa)],[c_920]) ).

cnf(c_976,negated_conjecture,
    ( ~ g_true_only(X0,sk3_esk1_0)
    | ~ g_true_only(X0,X0) ),
    inference(copy,[status(esa)],[c_942]) ).

cnf(c_37239,plain,
    ( ~ g_true_only(sk3_esk2_1(sk3_esk1_0),sk3_esk2_1(sk3_esk1_0))
    | ~ g_true_only(sk3_esk2_1(sk3_esk1_0),sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_976]) ).

cnf(c_47,negated_conjecture,
    ( ~ g_both(X0,sk3_esk1_0)
    | ~ g_true_only(X0,X0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_76) ).

cnf(c_594,negated_conjecture,
    ( ~ g_both(X0,sk3_esk1_0)
    | ~ g_true_only(X0,X0) ),
    inference(copy,[status(esa)],[c_47]) ).

cnf(c_824,negated_conjecture,
    ( ~ g_both(X0,sk3_esk1_0)
    | ~ g_true_only(X0,X0) ),
    inference(copy,[status(esa)],[c_594]) ).

cnf(c_918,negated_conjecture,
    ( ~ g_both(X0,sk3_esk1_0)
    | ~ g_true_only(X0,X0) ),
    inference(copy,[status(esa)],[c_824]) ).

cnf(c_946,negated_conjecture,
    ( ~ g_both(X0,sk3_esk1_0)
    | ~ g_true_only(X0,X0) ),
    inference(copy,[status(esa)],[c_918]) ).

cnf(c_980,negated_conjecture,
    ( ~ g_both(X0,sk3_esk1_0)
    | ~ g_true_only(X0,X0) ),
    inference(copy,[status(esa)],[c_946]) ).

cnf(c_37229,plain,
    ( ~ g_both(sk3_esk3_1(sk3_esk1_0),sk3_esk1_0)
    | ~ g_true_only(sk3_esk3_1(sk3_esk1_0),sk3_esk3_1(sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_980]) ).

cnf(c_46,negated_conjecture,
    ( ~ g_false_only(X0,X0)
    | ~ g_both(X0,sk3_esk1_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_75) ).

cnf(c_592,negated_conjecture,
    ( ~ g_false_only(X0,X0)
    | ~ g_both(X0,sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_46]) ).

cnf(c_823,negated_conjecture,
    ( ~ g_false_only(X0,X0)
    | ~ g_both(X0,sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_592]) ).

cnf(c_919,negated_conjecture,
    ( ~ g_false_only(X0,X0)
    | ~ g_both(X0,sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_823]) ).

cnf(c_944,negated_conjecture,
    ( ~ g_false_only(X0,X0)
    | ~ g_both(X0,sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_919]) ).

cnf(c_978,negated_conjecture,
    ( ~ g_false_only(X0,X0)
    | ~ g_both(X0,sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_944]) ).

cnf(c_37230,plain,
    ( ~ g_false_only(sk3_esk3_1(sk3_esk1_0),sk3_esk3_1(sk3_esk1_0))
    | ~ g_both(sk3_esk3_1(sk3_esk1_0),sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_978]) ).

cnf(c_37163,plain,
    ~ g_true_only(sk3_esk1_0,sk3_esk1_0),
    inference(instantiation,[status(thm)],[c_976]) ).

cnf(c_15,negated_conjecture,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_false_only(X1,sk3_esk5_0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X2,X0)
    | ~ g_both(X2,X2)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_true_only(X1,sk3_esk5_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_44) ).

cnf(c_175,negated_conjecture,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X0)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | ~ sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_15]) ).

cnf(c_280,negated_conjecture,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X0)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | ~ sP11_iProver_split ),
    inference(copy,[status(esa)],[c_175]) ).

cnf(c_13,negated_conjecture,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_true_only(X2,sk3_esk5_0)
    | g_true_only(X2,X2) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_42) ).

cnf(c_182,negated_conjecture,
    ( sP3_iProver_split
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split,sP3_iProver_split])],[c_13]) ).

cnf(c_327,negated_conjecture,
    sP11_iProver_split,
    inference(global_propositional_subsumption,[status(thm)],[c_182,c_327]) ).

cnf(c_395,negated_conjecture,
    ( g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(global_propositional_subsumption,[status(thm)],[c_280,c_175,c_327]) ).

cnf(c_398,negated_conjecture,
    ( g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_395]) ).

cnf(c_399,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(rewriting,[status(thm)],[c_398]) ).

cnf(c_872,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_399]) ).

cnf(c_887,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_872]) ).

cnf(c_938,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_887]) ).

cnf(c_972,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_938]) ).

cnf(c_37145,plain,
    ( g_false_only(sk3_esk3_1(sk3_esk1_0),sk3_esk3_1(sk3_esk1_0))
    | g_false_only(sk3_esk4_1(sk3_esk1_0),sk3_esk4_1(sk3_esk1_0))
    | g_both(sk3_esk2_1(sk3_esk1_0),sk3_esk2_1(sk3_esk1_0))
    | g_both(sk3_esk4_1(sk3_esk1_0),sk3_esk4_1(sk3_esk1_0))
    | ~ g_both(sk3_esk1_0,sk3_esk1_0)
    | g_true_only(sk3_esk2_1(sk3_esk1_0),sk3_esk2_1(sk3_esk1_0))
    | g_true_only(sk3_esk3_1(sk3_esk1_0),sk3_esk3_1(sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_972]) ).

cnf(c_27,negated_conjecture,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | g_false_only(X1,sk3_esk5_0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ g_both(X2,X0)
    | ~ g_both(X2,X2)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_true_only(X1,sk3_esk5_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_56) ).

cnf(c_139,negated_conjecture,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X0)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | ~ sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_27]) ).

cnf(c_262,negated_conjecture,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X0)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | ~ sP8_iProver_split ),
    inference(copy,[status(esa)],[c_139]) ).

cnf(c_23,negated_conjecture,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_true_only(X2,sk3_esk5_0)
    | g_true_only(X2,X2) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_52) ).

cnf(c_152,negated_conjecture,
    ( sP3_iProver_split
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split,sP3_iProver_split])],[c_23]) ).

cnf(c_311,negated_conjecture,
    sP8_iProver_split,
    inference(global_propositional_subsumption,[status(thm)],[c_152,c_311]) ).

cnf(c_383,negated_conjecture,
    ( g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(global_propositional_subsumption,[status(thm)],[c_262,c_139,c_311]) ).

cnf(c_434,negated_conjecture,
    ( g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_383]) ).

cnf(c_435,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(rewriting,[status(thm)],[c_434]) ).

cnf(c_875,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_435]) ).

cnf(c_884,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_875]) ).

cnf(c_943,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_884]) ).

cnf(c_977,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_943]) ).

cnf(c_37146,plain,
    ( g_false_only(sk3_esk3_1(sk3_esk1_0),sk3_esk3_1(sk3_esk1_0))
    | g_false_only(sk3_esk4_1(sk3_esk1_0),sk3_esk1_0)
    | g_both(sk3_esk2_1(sk3_esk1_0),sk3_esk2_1(sk3_esk1_0))
    | ~ g_both(sk3_esk1_0,sk3_esk1_0)
    | g_true_only(sk3_esk2_1(sk3_esk1_0),sk3_esk2_1(sk3_esk1_0))
    | g_true_only(sk3_esk3_1(sk3_esk1_0),sk3_esk3_1(sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_977]) ).

cnf(c_26,negated_conjecture,
    ( g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_false_only(X1,sk3_esk5_0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X2,X0)
    | ~ g_both(X2,X2)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(X1,sk3_esk5_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_55) ).

cnf(c_142,negated_conjecture,
    ( g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X0)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_26]) ).

cnf(c_265,negated_conjecture,
    ( g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X0)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ sP9_iProver_split ),
    inference(copy,[status(esa)],[c_142]) ).

cnf(c_21,negated_conjecture,
    ( g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(X2,sk3_esk5_0)
    | g_true_only(X2,X2) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_50) ).

cnf(c_158,negated_conjecture,
    ( sP3_iProver_split
    | sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split,sP3_iProver_split])],[c_21]) ).

cnf(c_314,negated_conjecture,
    sP9_iProver_split,
    inference(global_propositional_subsumption,[status(thm)],[c_158,c_314]) ).

cnf(c_385,negated_conjecture,
    ( g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0)) ),
    inference(global_propositional_subsumption,[status(thm)],[c_265,c_142,c_314]) ).

cnf(c_428,negated_conjecture,
    ( g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0)) ),
    inference(copy,[status(esa)],[c_385]) ).

cnf(c_429,plain,
    ( g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0)) ),
    inference(rewriting,[status(thm)],[c_428]) ).

cnf(c_874,plain,
    ( g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0)) ),
    inference(copy,[status(esa)],[c_429]) ).

cnf(c_885,plain,
    ( g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0)) ),
    inference(copy,[status(esa)],[c_874]) ).

cnf(c_941,plain,
    ( g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0)) ),
    inference(copy,[status(esa)],[c_885]) ).

cnf(c_975,plain,
    ( g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0)) ),
    inference(copy,[status(esa)],[c_941]) ).

cnf(c_37147,plain,
    ( g_false_only(sk3_esk4_1(sk3_esk1_0),sk3_esk4_1(sk3_esk1_0))
    | g_both(sk3_esk2_1(sk3_esk1_0),sk3_esk2_1(sk3_esk1_0))
    | g_both(sk3_esk3_1(sk3_esk1_0),sk3_esk1_0)
    | g_both(sk3_esk4_1(sk3_esk1_0),sk3_esk4_1(sk3_esk1_0))
    | ~ g_both(sk3_esk1_0,sk3_esk1_0)
    | g_true_only(sk3_esk2_1(sk3_esk1_0),sk3_esk2_1(sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_975]) ).

cnf(c_25,negated_conjecture,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_false_only(X1,sk3_esk5_0)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X2,X0)
    | ~ g_both(X2,X2)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_true_only(X1,sk3_esk5_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_54) ).

cnf(c_145,negated_conjecture,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X0)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | ~ sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_25]) ).

cnf(c_268,negated_conjecture,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X0)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | ~ sP10_iProver_split ),
    inference(copy,[status(esa)],[c_145]) ).

cnf(c_19,negated_conjecture,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_true_only(X2,sk3_esk5_0)
    | g_true_only(X2,X2) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_48) ).

cnf(c_164,negated_conjecture,
    ( sP3_iProver_split
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split,sP3_iProver_split])],[c_19]) ).

cnf(c_317,negated_conjecture,
    sP10_iProver_split,
    inference(global_propositional_subsumption,[status(thm)],[c_164,c_317]) ).

cnf(c_387,negated_conjecture,
    ( g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_true_only(sk3_esk2_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(global_propositional_subsumption,[status(thm)],[c_268,c_145,c_317]) ).

cnf(c_422,negated_conjecture,
    ( g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_true_only(sk3_esk2_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_387]) ).

cnf(c_423,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(rewriting,[status(thm)],[c_422]) ).

cnf(c_873,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_423]) ).

cnf(c_886,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_873]) ).

cnf(c_939,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_886]) ).

cnf(c_973,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_939]) ).

cnf(c_37148,plain,
    ( g_false_only(sk3_esk3_1(sk3_esk1_0),sk3_esk3_1(sk3_esk1_0))
    | g_false_only(sk3_esk4_1(sk3_esk1_0),sk3_esk4_1(sk3_esk1_0))
    | g_both(sk3_esk4_1(sk3_esk1_0),sk3_esk4_1(sk3_esk1_0))
    | ~ g_both(sk3_esk1_0,sk3_esk1_0)
    | g_true_only(sk3_esk2_1(sk3_esk1_0),sk3_esk1_0)
    | g_true_only(sk3_esk3_1(sk3_esk1_0),sk3_esk3_1(sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_973]) ).

cnf(c_39,negated_conjecture,
    ( g_false_only(sk3_esk4_1(X0),X0)
    | g_false_only(X1,sk3_esk5_0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | ~ g_both(X2,X0)
    | ~ g_both(X2,X2)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(X1,sk3_esk5_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_68) ).

cnf(c_103,negated_conjecture,
    ( g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X0)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_39]) ).

cnf(c_226,negated_conjecture,
    ( g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X0)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ sP5_iProver_split ),
    inference(copy,[status(esa)],[c_103]) ).

cnf(c_35,negated_conjecture,
    ( g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_true_only(X2,sk3_esk5_0)
    | g_true_only(X2,X2) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_64) ).

cnf(c_116,negated_conjecture,
    ( sP3_iProver_split
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split,sP3_iProver_split])],[c_35]) ).

cnf(c_293,negated_conjecture,
    sP5_iProver_split,
    inference(global_propositional_subsumption,[status(thm)],[c_116,c_293]) ).

cnf(c_359,negated_conjecture,
    ( g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0) ),
    inference(global_propositional_subsumption,[status(thm)],[c_226,c_103,c_293]) ).

cnf(c_506,negated_conjecture,
    ( g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0) ),
    inference(copy,[status(esa)],[c_359]) ).

cnf(c_507,plain,
    ( g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0)) ),
    inference(rewriting,[status(thm)],[c_506]) ).

cnf(c_878,plain,
    ( g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0)) ),
    inference(copy,[status(esa)],[c_507]) ).

cnf(c_881,plain,
    ( g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0)) ),
    inference(copy,[status(esa)],[c_878]) ).

cnf(c_949,plain,
    ( g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0)) ),
    inference(copy,[status(esa)],[c_881]) ).

cnf(c_983,plain,
    ( g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk2_1(X0),sk3_esk2_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),sk3_esk2_1(X0)) ),
    inference(copy,[status(esa)],[c_949]) ).

cnf(c_37149,plain,
    ( g_false_only(sk3_esk4_1(sk3_esk1_0),sk3_esk1_0)
    | g_both(sk3_esk2_1(sk3_esk1_0),sk3_esk2_1(sk3_esk1_0))
    | g_both(sk3_esk3_1(sk3_esk1_0),sk3_esk1_0)
    | ~ g_both(sk3_esk1_0,sk3_esk1_0)
    | g_true_only(sk3_esk2_1(sk3_esk1_0),sk3_esk2_1(sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_983]) ).

cnf(c_38,negated_conjecture,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | g_false_only(X1,sk3_esk5_0)
    | ~ g_both(X2,X0)
    | ~ g_both(X2,X2)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_true_only(X1,sk3_esk5_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_67) ).

cnf(c_106,negated_conjecture,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X0)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | ~ sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_38]) ).

cnf(c_229,negated_conjecture,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X0)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | ~ sP6_iProver_split ),
    inference(copy,[status(esa)],[c_106]) ).

cnf(c_33,negated_conjecture,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_true_only(X2,sk3_esk5_0)
    | g_true_only(X2,X2) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_62) ).

cnf(c_122,negated_conjecture,
    ( sP3_iProver_split
    | sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split,sP3_iProver_split])],[c_33]) ).

cnf(c_296,negated_conjecture,
    sP6_iProver_split,
    inference(global_propositional_subsumption,[status(thm)],[c_122,c_296]) ).

cnf(c_361,negated_conjecture,
    ( g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_true_only(sk3_esk2_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_false_only(sk3_esk4_1(X0),X0)
    | g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(global_propositional_subsumption,[status(thm)],[c_229,c_106,c_296]) ).

cnf(c_500,negated_conjecture,
    ( g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_true_only(sk3_esk2_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_false_only(sk3_esk4_1(X0),X0)
    | g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_361]) ).

cnf(c_501,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(rewriting,[status(thm)],[c_500]) ).

cnf(c_877,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_501]) ).

cnf(c_882,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_877]) ).

cnf(c_947,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_882]) ).

cnf(c_981,plain,
    ( g_false_only(sk3_esk3_1(X0),sk3_esk3_1(X0))
    | g_false_only(sk3_esk4_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(sk3_esk3_1(X0),sk3_esk3_1(X0)) ),
    inference(copy,[status(esa)],[c_947]) ).

cnf(c_37150,plain,
    ( g_false_only(sk3_esk3_1(sk3_esk1_0),sk3_esk3_1(sk3_esk1_0))
    | g_false_only(sk3_esk4_1(sk3_esk1_0),sk3_esk1_0)
    | ~ g_both(sk3_esk1_0,sk3_esk1_0)
    | g_true_only(sk3_esk2_1(sk3_esk1_0),sk3_esk1_0)
    | g_true_only(sk3_esk3_1(sk3_esk1_0),sk3_esk3_1(sk3_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_981]) ).

cnf(c_37,negated_conjecture,
    ( g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_false_only(X1,sk3_esk5_0)
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X2,X0)
    | ~ g_both(X2,X2)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(X1,sk3_esk5_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_66) ).

cnf(c_109,negated_conjecture,
    ( g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X0)
    | g_true_only(sk3_esk2_1(X0),X0)
    | ~ sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_37]) ).

cnf(c_232,negated_conjecture,
    ( g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X0)
    | g_true_only(sk3_esk2_1(X0),X0)
    | ~ sP7_iProver_split ),
    inference(copy,[status(esa)],[c_109]) ).

cnf(c_31,negated_conjecture,
    ( g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(X2,sk3_esk5_0)
    | g_true_only(X2,X2) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_60) ).

cnf(c_128,negated_conjecture,
    ( sP3_iProver_split
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split,sP3_iProver_split])],[c_31]) ).

cnf(c_299,negated_conjecture,
    sP7_iProver_split,
    inference(global_propositional_subsumption,[status(thm)],[c_128,c_299]) ).

cnf(c_363,negated_conjecture,
    ( g_true_only(sk3_esk2_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0)) ),
    inference(global_propositional_subsumption,[status(thm)],[c_232,c_109,c_299]) ).

cnf(c_494,negated_conjecture,
    ( g_true_only(sk3_esk2_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0)) ),
    inference(copy,[status(esa)],[c_363]) ).

cnf(c_495,plain,
    ( g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0) ),
    inference(rewriting,[status(thm)],[c_494]) ).

cnf(c_876,plain,
    ( g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0) ),
    inference(copy,[status(esa)],[c_495]) ).

cnf(c_883,plain,
    ( g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0) ),
    inference(copy,[status(esa)],[c_876]) ).

cnf(c_945,plain,
    ( g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0) ),
    inference(copy,[status(esa)],[c_883]) ).

cnf(c_979,plain,
    ( g_false_only(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | g_both(sk3_esk3_1(X0),X0)
    | g_both(sk3_esk4_1(X0),sk3_esk4_1(X0))
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0) ),
    inference(copy,[status(esa)],[c_945]) ).

cnf(c_37151,plain,
    ( g_false_only(sk3_esk4_1(sk3_esk1_0),sk3_esk4_1(sk3_esk1_0))
    | g_both(sk3_esk3_1(sk3_esk1_0),sk3_esk1_0)
    | g_both(sk3_esk4_1(sk3_esk1_0),sk3_esk4_1(sk3_esk1_0))
    | ~ g_both(sk3_esk1_0,sk3_esk1_0)
    | g_true_only(sk3_esk2_1(sk3_esk1_0),sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_979]) ).

cnf(c_43,negated_conjecture,
    ( g_false_only(sk3_esk4_1(X0),X0)
    | g_false_only(X1,sk3_esk5_0)
    | g_both(sk3_esk3_1(X0),X0)
    | ~ g_both(X2,X0)
    | ~ g_both(X2,X2)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(X1,sk3_esk5_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_72) ).

cnf(c_91,negated_conjecture,
    ( g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk3_1(X0),X0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X0)
    | g_true_only(sk3_esk2_1(X0),X0)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_43]) ).

cnf(c_196,negated_conjecture,
    ( g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk3_1(X0),X0)
    | ~ g_both(X1,X1)
    | ~ g_both(X1,X0)
    | g_true_only(sk3_esk2_1(X0),X0)
    | ~ sP1_iProver_split ),
    inference(copy,[status(esa)],[c_91]) ).

cnf(c_40,negated_conjecture,
    ( g_false_only(sk3_esk4_1(X0),X0)
    | g_false_only(X1,X1)
    | g_both(sk3_esk3_1(X0),X0)
    | ~ g_both(X2,X0)
    | ~ g_both(X2,X2)
    | g_true_only(sk3_esk2_1(X0),X0)
    | g_true_only(X1,X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_69) ).

cnf(c_101,negated_conjecture,
    ( sP1_iProver_split
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split,sP4_iProver_split])],[c_40]) ).

cnf(c_286,negated_conjecture,
    sP1_iProver_split,
    inference(global_propositional_subsumption,[status(thm)],[c_101,c_286]) ).

cnf(c_339,negated_conjecture,
    ( g_true_only(sk3_esk2_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_both(sk3_esk3_1(X0),X0)
    | g_false_only(sk3_esk4_1(X0),X0) ),
    inference(global_propositional_subsumption,[status(thm)],[c_196,c_91,c_286]) ).

cnf(c_566,negated_conjecture,
    ( g_true_only(sk3_esk2_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_both(sk3_esk3_1(X0),X0)
    | g_false_only(sk3_esk4_1(X0),X0) ),
    inference(copy,[status(esa)],[c_339]) ).

cnf(c_567,plain,
    ( g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk3_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0) ),
    inference(rewriting,[status(thm)],[c_566]) ).

cnf(c_879,plain,
    ( g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk3_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0) ),
    inference(copy,[status(esa)],[c_567]) ).

cnf(c_880,plain,
    ( g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk3_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0) ),
    inference(copy,[status(esa)],[c_879]) ).

cnf(c_951,plain,
    ( g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk3_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0) ),
    inference(copy,[status(esa)],[c_880]) ).

cnf(c_985,plain,
    ( g_false_only(sk3_esk4_1(X0),X0)
    | g_both(sk3_esk3_1(X0),X0)
    | ~ g_both(X1,X0)
    | ~ g_both(X1,X1)
    | g_true_only(sk3_esk2_1(X0),X0) ),
    inference(copy,[status(esa)],[c_951]) ).

cnf(c_37152,plain,
    ( g_false_only(sk3_esk4_1(sk3_esk1_0),sk3_esk1_0)
    | g_both(sk3_esk3_1(sk3_esk1_0),sk3_esk1_0)
    | ~ g_both(sk3_esk1_0,sk3_esk1_0)
    | g_true_only(sk3_esk2_1(sk3_esk1_0),sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_985]) ).

cnf(c_0,plain,
    ( g_true_only(X0,X1)
    | g_both(X0,X1)
    | g_false_only(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p',c_0_4_0) ).

cnf(c_952,plain,
    ( g_true_only(X0,X1)
    | g_both(X0,X1)
    | g_false_only(X0,X1) ),
    inference(copy,[status(esa)],[c_0]) ).

cnf(c_37124,plain,
    ( g_false_only(X0,sk3_esk1_0)
    | g_both(X0,sk3_esk1_0)
    | g_true_only(X0,sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_952]) ).

cnf(c_37135,plain,
    ( g_false_only(sk3_esk1_0,sk3_esk1_0)
    | g_both(sk3_esk1_0,sk3_esk1_0)
    | g_true_only(sk3_esk1_0,sk3_esk1_0) ),
    inference(instantiation,[status(thm)],[c_37124]) ).

cnf(c_37134,plain,
    ~ g_false_only(sk3_esk1_0,sk3_esk1_0),
    inference(instantiation,[status(thm)],[c_982]) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_37290,c_37276,c_37242,c_37239,c_37229,c_37230,c_37163,c_37145,c_37146,c_37147,c_37148,c_37149,c_37150,c_37151,c_37152,c_37135,c_37134]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEV515+1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.13  % 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 : Tue Jun 28 12:16:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running in mono-core mode
% 0.13/0.40  % Orienting using strategy Equiv(ClausalAll)
% 0.13/0.40  % FOF problem with conjecture
% 0.13/0.40  % 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/sandbox2/tmp/iprover_proof_c0186d.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_5ba8f8.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_b63c12 | 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
% 0.20/0.45  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.45  % --bmc1_dump_file                      -
% 0.20/0.45  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.45  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.45  % --bmc1_ucm_extend_mode                1
% 0.20/0.45  % --bmc1_ucm_init_mode                  2
% 0.20/0.45  % --bmc1_ucm_cone_mode                  none
% 0.20/0.45  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.45  % --bmc1_ucm_relax_model                4
% 0.20/0.45  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.45  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.45  % --bmc1_ucm_layered_model              none
% 0.20/0.45  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.45  
% 0.20/0.45  % ------ AIG Options
% 0.20/0.45  
% 0.20/0.45  % --aig_mode                            false
% 0.20/0.45  
% 0.20/0.45  % ------ Instantiation Options
% 0.20/0.45  
% 0.20/0.45  % --instantiation_flag                  true
% 0.20/0.45  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.45  % --inst_solver_per_active              750
% 0.20/0.45  % --inst_solver_calls_frac              0.5
% 0.20/0.45  % --inst_passive_queue_type             priority_queues
% 0.20/0.45  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.45  % --inst_passive_queues_freq            [25;2]
% 0.20/0.45  % --inst_dismatching                    true
% 0.20/0.45  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.45  % --inst_prop_sim_given                 true
% 0.20/0.45  % --inst_prop_sim_new                   false
% 0.20/0.45  % --inst_orphan_elimination             true
% 0.20/0.45  % --inst_learning_loop_flag             true
% 0.20/0.45  % --inst_learning_start                 3000
% 0.20/0.45  % --inst_learning_factor                2
% 0.20/0.45  % --inst_start_prop_sim_after_learn     3
% 0.20/0.45  % --inst_sel_renew                      solver
% 0.20/0.45  % --inst_lit_activity_flag              true
% 0.20/0.45  % --inst_out_proof                      true
% 0.20/0.45  
% 0.20/0.45  % ------ Resolution Options
% 0.20/0.45  
% 0.20/0.45  % --resolution_flag                     true
% 0.20/0.45  % --res_lit_sel                         kbo_max
% 0.20/0.45  % --res_to_prop_solver                  none
% 0.20/0.45  % --res_prop_simpl_new                  false
% 0.20/0.45  % --res_prop_simpl_given                false
% 0.20/0.45  % --res_passive_queue_type              priority_queues
% 0.20/0.45  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.45  % --res_passive_queues_freq             [15;5]
% 0.20/0.45  % --res_forward_subs                    full
% 0.20/0.45  % --res_backward_subs                   full
% 0.20/0.45  % --res_forward_subs_resolution         true
% 0.20/0.45  % --res_backward_subs_resolution        true
% 0.20/0.45  % --res_orphan_elimination              false
% 0.20/0.45  % --res_time_limit                      1000.
% 0.20/0.45  % --res_out_proof                       true
% 0.20/0.45  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_c0186d.s
% 0.20/0.45  % --modulo                              true
% 0.20/0.45  
% 0.20/0.45  % ------ Combination Options
% 0.20/0.45  
% 0.20/0.45  % --comb_res_mult                       1000
% 0.20/0.45  % --comb_inst_mult                      300
% 0.20/0.45  % ------ 
% 0.20/0.45  
% 0.20/0.45  % ------ Parsing...% successful
% 0.20/0.45  
% 0.20/0.45  % ------ Preprocessing... gs_s  sp: 128 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 % 
% 0.20/0.45  
% 0.20/0.45  % ------ Proving...
% 0.20/0.45  % ------ Problem Properties 
% 0.20/0.45  
% 0.20/0.45  % 
% 0.20/0.45  % EPR                                   false
% 0.20/0.45  % Horn                                  false
% 0.20/0.45  % Has equality                          false
% 0.20/0.45  
% 0.20/0.45  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  % % ------ Current options:
% 0.20/0.45  
% 0.20/0.45  % ------ Input Options
% 0.20/0.45  
% 0.20/0.45  % --out_options                         all
% 0.20/0.45  % --tptp_safe_out                       true
% 0.20/0.45  % --problem_path                        ""
% 0.20/0.45  % --include_path                        ""
% 0.20/0.45  % --clausifier                          .//eprover
% 0.20/0.45  % --clausifier_options                  --tstp-format  
% 0.20/0.45  % --stdin                               false
% 0.20/0.45  % --dbg_backtrace                       false
% 0.20/0.45  % --dbg_dump_prop_clauses               false
% 0.20/0.45  % --dbg_dump_prop_clauses_file          -
% 0.20/0.45  % --dbg_out_stat                        false
% 0.20/0.45  
% 0.20/0.45  % ------ General Options
% 0.20/0.45  
% 0.20/0.45  % --fof                                 false
% 0.20/0.45  % --time_out_real                       150.
% 0.20/0.45  % --time_out_prep_mult                  0.2
% 0.20/0.45  % --time_out_virtual                    -1.
% 0.20/0.45  % --schedule                            none
% 0.20/0.45  % --ground_splitting                    input
% 0.20/0.45  % --splitting_nvd                       16
% 0.20/0.45  % --non_eq_to_eq                        false
% 0.20/0.45  % --prep_gs_sim                         true
% 0.20/0.45  % --prep_unflatten                      false
% 0.20/0.45  % --prep_res_sim                        true
% 0.20/0.45  % --prep_upred                          true
% 0.20/0.45  % --res_sim_input                       true
% 0.20/0.45  % --clause_weak_htbl                    true
% 0.20/0.45  % --gc_record_bc_elim                   false
% 0.20/0.45  % --symbol_type_check                   false
% 0.20/0.45  % --clausify_out                        false
% 0.20/0.45  % --large_theory_mode                   false
% 0.20/0.45  % --prep_sem_filter                     none
% 0.20/0.45  % --prep_sem_filter_out                 false
% 0.20/0.45  % --preprocessed_out                    false
% 0.20/0.45  % --sub_typing                          false
% 0.20/0.45  % --brand_transform                     false
% 0.20/0.45  % --pure_diseq_elim                     true
% 0.20/0.45  % --min_unsat_core                      false
% 0.20/0.45  % --pred_elim                           true
% 0.20/0.45  % --add_important_lit                   false
% 0.20/0.45  % --soft_assumptions                    false
% 0.20/0.45  % --reset_solvers                       false
% 0.20/0.45  % --bc_imp_inh                          []
% 0.20/0.45  % --conj_cone_tolerance                 1.5
% 0.20/0.45  % --prolific_symb_bound                 500
% 0.20/0.45  % --lt_threshold                        2000
% 0.20/0.45  
% 0.20/0.45  % ------ SAT Options
% 0.20/0.45  
% 0.20/0.45  % --sat_mode                            false
% 0.20/0.45  % --sat_fm_restart_options              ""
% 0.20/0.45  % --sat_gr_def                          false
% 0.20/0.45  % --sat_epr_types                       true
% 0.20/0.45  % --sat_non_cyclic_types                false
% 0.20/0.45  % --sat_finite_models                   false
% 0.20/0.45  % --sat_fm_lemmas                       false
% 0.20/0.45  % --sat_fm_prep                         false
% 0.20/0.45  % --sat_fm_uc_incr                      true
% 0.20/0.45  % --sat_out_model                       small
% 0.20/0.45  % --sat_out_clauses                     false
% 0.20/0.45  
% 0.20/0.45  % ------ QBF Options
% 0.20/0.45  
% 0.20/0.45  % --qbf_mode                            false
% 0.20/0.45  % --qbf_elim_univ                       true
% 0.20/0.45  % --qbf_sk_in                           true
% 0.20/0.45  % --qbf_pred_elim                       true
% 0.20/0.45  % --qbf_split                           32
% 0.20/0.45  
% 0.20/0.45  % ------ BMC1 Options
% 0.20/0.45  
% 0.20/0.45  % --bmc1_incremental                    false
% 0.20/0.45  % --bmc1_axioms                         reachable_all
% 0.20/0.45  % --bmc1_min_bound                      0
% 0.20/0.45  % --bmc1_max_bound                      -1
% 0.20/0.45  % --bmc1_max_bound_default              -1
% 0.20/0.45  % --bmc1_symbol_reachability            true
% 0.20/0.45  % --bmc1_property_lemmas                false
% 0.20/0.45  % --bmc1_k_induction                    false
% 0.20/0.45  % --bmc1_non_equiv_states               false
% 0.20/0.45  % --bmc1_deadlock                       false
% 0.20/0.45  % --bmc1_ucm                            false
% 0.20/0.45  % --bmc1_add_unsat_core                 none
% 0.20/0.45  % --bmc1_unsat_core_children            false
% 0.20/0.45  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.45  % --bmc1_out_stat                       full
% 0.20/0.45  % --bmc1_ground_init                    false
% 0.20/0.45  % --bmc1_pre_inst_next_state            false
% 0.20/0.45  % --bmc1_pre_inst_state                 false
% 0.20/0.45  % --bmc1_pre_inst_reach_state           false
% 0.20/0.45  % --bmc1_out_unsat_core                 false
% 0.20/0.45  % --bmc1_aig_witness_out                false
% 0.20/0.45  % --bmc1_verbose                        false
% 0.20/0.45  % --bmc1_dump_clauses_tptp              false
% 0.20/0.45  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.45  % --bmc1_dump_file                      -
% 0.20/0.45  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.45  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.45  % --bmc1_ucm_extend_mode                1
% 0.20/0.45  % --bmc1_ucm_init_mode                  2
% 0.20/0.45  % --bmc1_ucm_cone_mode                  none
% 0.20/0.45  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.45  % --bmc1_ucm_relax_model                4
% 0.20/0.45  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.45  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.45  % --bmc1_ucm_layered_model              none
% 0.20/0.45  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.45  
% 0.20/0.45  % ------ AIG Options
% 0.20/0.45  
% 0.20/0.45  % --aig_mode                            false
% 0.20/0.45  
% 0.20/0.45  % ------ Instantiation Options
% 0.20/0.45  
% 0.20/0.45  % --instantiation_flag                  true
% 0.20/0.45  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.45  % --inst_solver_per_active              750
% 0.20/0.45  % --inst_solver_calls_frac              0.5
% 0.20/0.45  % --inst_passive_queue_type             priority_queues
% 0.20/0.45  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.45  % --inst_passive_queues_freq            [25;2]
% 0.20/0.45  % --inst_dismatching                    true
% 0.20/0.45  % --inst_eager_unprocessed_to_passive   true
% 1.75/1.95  % --inst_prop_sim_given                 true
% 1.75/1.95  % --inst_prop_sim_new                   false
% 1.75/1.95  % --inst_orphan_elimination             true
% 1.75/1.95  % --inst_learning_loop_flag             true
% 1.75/1.95  % --inst_learning_start                 3000
% 1.75/1.95  % --inst_learning_factor                2
% 1.75/1.95  % --inst_start_prop_sim_after_learn     3
% 1.75/1.95  % --inst_sel_renew                      solver
% 1.75/1.95  % --inst_lit_activity_flag              true
% 1.75/1.95  % --inst_out_proof                      true
% 1.75/1.95  
% 1.75/1.95  % ------ Resolution Options
% 1.75/1.95  
% 1.75/1.95  % --resolution_flag                     true
% 1.75/1.95  % --res_lit_sel                         kbo_max
% 1.75/1.95  % --res_to_prop_solver                  none
% 1.75/1.95  % --res_prop_simpl_new                  false
% 1.75/1.95  % --res_prop_simpl_given                false
% 1.75/1.95  % --res_passive_queue_type              priority_queues
% 1.75/1.95  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.75/1.95  % --res_passive_queues_freq             [15;5]
% 1.75/1.95  % --res_forward_subs                    full
% 1.75/1.95  % --res_backward_subs                   full
% 1.75/1.95  % --res_forward_subs_resolution         true
% 1.75/1.95  % --res_backward_subs_resolution        true
% 1.75/1.95  % --res_orphan_elimination              false
% 1.75/1.95  % --res_time_limit                      1000.
% 1.75/1.95  % --res_out_proof                       true
% 1.75/1.95  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_c0186d.s
% 1.75/1.95  % --modulo                              true
% 1.75/1.95  
% 1.75/1.95  % ------ Combination Options
% 1.75/1.95  
% 1.75/1.95  % --comb_res_mult                       1000
% 1.75/1.95  % --comb_inst_mult                      300
% 1.75/1.95  % ------ 
% 1.75/1.95  
% 1.75/1.95  
% 1.75/1.95  
% 1.75/1.95  % ------ Proving...
% 1.75/1.95  % 
% 1.75/1.95  
% 1.75/1.95  
% 1.75/1.95  % ------                             Statistics
% 1.75/1.95  
% 1.75/1.95  % ------ General
% 1.75/1.95  
% 1.75/1.95  % num_of_input_clauses:                 50
% 1.75/1.95  % num_of_input_neg_conjectures:         38
% 1.75/1.95  % num_of_splits:                        128
% 1.75/1.95  % num_of_split_atoms:                   12
% 1.75/1.95  % num_of_sem_filtered_clauses:          0
% 1.75/1.95  % num_of_subtypes:                      0
% 1.75/1.95  % monotx_restored_types:                0
% 1.75/1.95  % sat_num_of_epr_types:                 0
% 1.75/1.95  % sat_num_of_non_cyclic_types:          0
% 1.75/1.95  % sat_guarded_non_collapsed_types:      0
% 1.75/1.95  % is_epr:                               0
% 1.75/1.95  % is_horn:                              0
% 1.75/1.95  % has_eq:                               0
% 1.75/1.95  % num_pure_diseq_elim:                  0
% 1.75/1.95  % simp_replaced_by:                     0
% 1.75/1.95  % res_preprocessed:                     204
% 1.75/1.95  % prep_upred:                           0
% 1.75/1.95  % prep_unflattend:                      0
% 1.75/1.95  % pred_elim_cands:                      12
% 1.75/1.95  % pred_elim:                            12
% 1.75/1.95  % pred_elim_cl:                         37
% 1.75/1.95  % pred_elim_cycles:                     13
% 1.75/1.95  % forced_gc_time:                       0
% 1.75/1.95  % gc_basic_clause_elim:                 0
% 1.75/1.95  % parsing_time:                         0.003
% 1.75/1.95  % sem_filter_time:                      0.
% 1.75/1.95  % pred_elim_time:                       0.001
% 1.75/1.95  % out_proof_time:                       0.004
% 1.75/1.95  % monotx_time:                          0.
% 1.75/1.95  % subtype_inf_time:                     0.
% 1.75/1.95  % unif_index_cands_time:                0.001
% 1.75/1.95  % unif_index_add_time:                  0.001
% 1.75/1.95  % total_time:                           1.542
% 1.75/1.95  % num_of_symbols:                       47
% 1.75/1.95  % num_of_terms:                         705
% 1.75/1.95  
% 1.75/1.95  % ------ Propositional Solver
% 1.75/1.95  
% 1.75/1.95  % prop_solver_calls:                    11
% 1.75/1.95  % prop_fast_solver_calls:               1549
% 1.75/1.95  % prop_num_of_clauses:                  251
% 1.75/1.95  % prop_preprocess_simplified:           1561
% 1.75/1.95  % prop_fo_subsumed:                     111
% 1.75/1.95  % prop_solver_time:                     0.
% 1.75/1.95  % prop_fast_solver_time:                0.001
% 1.75/1.95  % prop_unsat_core_time:                 0.
% 1.75/1.95  
% 1.75/1.95  % ------ QBF 
% 1.75/1.95  
% 1.75/1.95  % qbf_q_res:                            0
% 1.75/1.95  % qbf_num_tautologies:                  0
% 1.75/1.95  % qbf_prep_cycles:                      0
% 1.75/1.95  
% 1.75/1.95  % ------ BMC1
% 1.75/1.95  
% 1.75/1.95  % bmc1_current_bound:                   -1
% 1.75/1.95  % bmc1_last_solved_bound:               -1
% 1.75/1.95  % bmc1_unsat_core_size:                 -1
% 1.75/1.95  % bmc1_unsat_core_parents_size:         -1
% 1.75/1.95  % bmc1_merge_next_fun:                  0
% 1.75/1.95  % bmc1_unsat_core_clauses_time:         0.
% 1.75/1.95  
% 1.75/1.95  % ------ Instantiation
% 1.75/1.95  
% 1.75/1.95  % inst_num_of_clauses:                  125
% 1.75/1.95  % inst_num_in_passive:                  17
% 1.75/1.95  % inst_num_in_active:                   97
% 1.75/1.95  % inst_num_in_unprocessed:              3
% 1.75/1.95  % inst_num_of_loops:                    165
% 1.75/1.95  % inst_num_of_learning_restarts:        0
% 1.75/1.95  % inst_num_moves_active_passive:        51
% 1.75/1.95  % inst_lit_activity:                    67
% 1.75/1.95  % inst_lit_activity_moves:              0
% 1.75/1.95  % inst_num_tautologies:                 8
% 1.75/1.95  % inst_num_prop_implied:                0
% 1.75/1.95  % inst_num_existing_simplified:         0
% 1.75/1.95  % inst_num_eq_res_simplified:           0
% 1.75/1.95  % inst_num_child_elim:                  0
% 1.75/1.95  % inst_num_of_dismatching_blockings:    13
% 1.75/1.95  % inst_num_of_non_proper_insts:         159
% 1.75/1.95  % inst_num_of_duplicates:               77
% 1.75/1.95  % inst_inst_num_from_inst_to_res:       0
% 1.75/1.95  % inst_dismatching_checking_time:       0.
% 1.75/1.95  
% 1.75/1.95  % ------ Resolution
% 1.75/1.95  
% 1.75/1.95  % res_num_of_clauses:                   4895
% 1.75/1.95  % res_num_in_passive:                   4057
% 1.75/1.95  % res_num_in_active:                    845
% 1.75/1.95  % res_num_of_loops:                     1000
% 1.75/1.95  % res_forward_subset_subsumed:          4320
% 1.75/1.95  % res_backward_subset_subsumed:         43
% 1.75/1.95  % res_forward_subsumed:                 142
% 1.75/1.95  % res_backward_subsumed:                5
% 1.75/1.95  % res_forward_subsumption_resolution:   121
% 1.75/1.95  % res_backward_subsumption_resolution:  4
% 1.75/1.95  % res_clause_to_clause_subsumption:     130651
% 1.75/1.95  % res_orphan_elimination:               0
% 1.75/1.95  % res_tautology_del:                    39
% 1.75/1.95  % res_num_eq_res_simplified:            0
% 1.75/1.95  % res_num_sel_changes:                  0
% 1.75/1.95  % res_moves_from_active_to_pass:        0
% 1.75/1.95  
% 1.75/1.95  % Status Unsatisfiable
% 1.75/1.95  % SZS status Theorem
% 1.75/1.95  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------