TSTP Solution File: LCL688+1.001 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : LCL688+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 11:38:36 EDT 2022

% Result   : Theorem 131.19s 131.41s
% Output   : CNFRefutation 131.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    ~ ? [X1] :
        ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ p4(X2) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | p3(X1) )
                                | ~ p2(X2) ) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | p3(X1) )
                                        | ~ p2(X2) ) )
                              & p2(X1)
                              & ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ~ ! [X2] :
                                                ( ~ r1(X1,X2)
                                                | ~ p2(X2) ) ) ) ) ) ) )
          | ( ~ p1(X1)
            & ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ! [X1] :
                        ( ~ r1(X2,X1)
                        | p1(X1) ) )
            & ! [X2] :
                ( ~ r1(X1,X2)
                | p1(X2)
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | ~ ( ~ ! [X2] :
                                ( ~ r1(X1,X2)
                                | p1(X2) )
                          & p1(X1) ) ) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ! [X2] :
                        ( ~ r1(X1,X2)
                        | p1(X2) ) )
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | p1(X1) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ~ ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | p2(X2) ) ) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ~ p1(X2) ) )
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | ~ p1(X1) ) ) ),
    file('<stdin>',main) ).

fof(c_0_1_002,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ p4(X2) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | p3(X1) )
                                  | ~ p2(X2) ) )
                      | ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ( ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ( ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | p3(X1) )
                                          | ~ p2(X2) ) )
                                & p2(X1)
                                & ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | ~ ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ p2(X2) ) ) ) ) ) ) )
            | ( ~ p1(X1)
              & ~ ! [X2] :
                    ( ~ r1(X1,X2)
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | p1(X1) ) )
              & ! [X2] :
                  ( ~ r1(X1,X2)
                  | p1(X2)
                  | ~ ! [X1] :
                        ( ~ r1(X2,X1)
                        | ~ ( ~ ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p1(X2) )
                            & p1(X1) ) ) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ ! [X2] :
                          ( ~ r1(X1,X2)
                          | p1(X2) ) )
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | p1(X1) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | ~ ! [X2] :
                            ( ~ r1(X1,X2)
                            | p2(X2) ) ) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X1] :
                      ( ~ r1(X2,X1)
                      | ! [X2] :
                          ( ~ r1(X1,X2)
                          | ~ p1(X2) ) )
                  | ~ ! [X1] :
                        ( ~ r1(X2,X1)
                        | ~ p1(X1) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).

fof(c_0_2_003,negated_conjecture,
    ! [X4,X5,X6,X9,X10,X12,X14,X15,X18,X19,X22,X25,X27,X28,X29] :
      ( ( ~ r1(esk1_0,X4)
        | ~ p4(X4) )
      & ( r1(X6,esk2_2(X5,X6))
        | ~ r1(X5,X6)
        | ~ r1(esk1_0,X5) )
      & ( r1(esk2_2(X5,X6),esk3_2(X5,X6))
        | ~ r1(X5,X6)
        | ~ r1(esk1_0,X5) )
      & ( ~ p3(esk3_2(X5,X6))
        | ~ r1(X5,X6)
        | ~ r1(esk1_0,X5) )
      & ( p2(esk2_2(X5,X6))
        | ~ r1(X5,X6)
        | ~ r1(esk1_0,X5) )
      & ( r1(X12,esk5_3(X5,X9,X12))
        | ~ r1(X9,X12)
        | ~ p2(X9)
        | r1(X10,esk4_3(X5,X9,X10))
        | ~ r1(X9,X10)
        | ~ r1(X5,X9)
        | ~ r1(esk1_0,X5) )
      & ( ~ r1(esk5_3(X5,X9,X12),X14)
        | ~ p2(X14)
        | ~ r1(X9,X12)
        | ~ p2(X9)
        | r1(X10,esk4_3(X5,X9,X10))
        | ~ r1(X9,X10)
        | ~ r1(X5,X9)
        | ~ r1(esk1_0,X5) )
      & ( r1(X12,esk5_3(X5,X9,X12))
        | ~ r1(X9,X12)
        | ~ p2(X9)
        | ~ p3(esk4_3(X5,X9,X10))
        | ~ r1(X9,X10)
        | ~ r1(X5,X9)
        | ~ r1(esk1_0,X5) )
      & ( ~ r1(esk5_3(X5,X9,X12),X14)
        | ~ p2(X14)
        | ~ r1(X9,X12)
        | ~ p2(X9)
        | ~ p3(esk4_3(X5,X9,X10))
        | ~ r1(X9,X10)
        | ~ r1(X5,X9)
        | ~ r1(esk1_0,X5) )
      & ( r1(X12,esk5_3(X5,X9,X12))
        | ~ r1(X9,X12)
        | ~ p2(X9)
        | p2(X10)
        | ~ r1(X9,X10)
        | ~ r1(X5,X9)
        | ~ r1(esk1_0,X5) )
      & ( ~ r1(esk5_3(X5,X9,X12),X14)
        | ~ p2(X14)
        | ~ r1(X9,X12)
        | ~ p2(X9)
        | p2(X10)
        | ~ r1(X9,X10)
        | ~ r1(X5,X9)
        | ~ r1(esk1_0,X5) )
      & ( r1(esk1_0,esk7_0)
        | r1(X15,esk6_1(X15))
        | ~ r1(esk1_0,X15)
        | p1(esk1_0) )
      & ( ~ p1(esk7_0)
        | r1(X15,esk6_1(X15))
        | ~ r1(esk1_0,X15)
        | p1(esk1_0) )
      & ( ~ r1(esk7_0,X18)
        | ~ r1(X18,X19)
        | p1(X19)
        | ~ p1(X18)
        | r1(X15,esk6_1(X15))
        | ~ r1(esk1_0,X15)
        | p1(esk1_0) )
      & ( r1(esk1_0,esk7_0)
        | ~ p1(esk6_1(X15))
        | ~ r1(esk1_0,X15)
        | p1(esk1_0) )
      & ( ~ p1(esk7_0)
        | ~ p1(esk6_1(X15))
        | ~ r1(esk1_0,X15)
        | p1(esk1_0) )
      & ( ~ r1(esk7_0,X18)
        | ~ r1(X18,X19)
        | p1(X19)
        | ~ p1(X18)
        | ~ p1(esk6_1(X15))
        | ~ r1(esk1_0,X15)
        | p1(esk1_0) )
      & r1(esk1_0,esk8_0)
      & r1(esk8_0,esk9_0)
      & ( ~ r1(esk9_0,X22)
        | p1(X22) )
      & r1(esk8_0,esk10_0)
      & ~ p1(esk10_0)
      & r1(esk1_0,esk11_0)
      & ( r1(X25,esk12_1(X25))
        | ~ r1(esk11_0,X25) )
      & ( ~ p2(esk12_1(X25))
        | ~ r1(esk11_0,X25) )
      & ( r1(X27,esk13_1(X27))
        | ~ r1(X27,X28)
        | ~ r1(X28,X29)
        | ~ p1(X29)
        | ~ r1(esk1_0,X27) )
      & ( p1(esk13_1(X27))
        | ~ r1(X27,X28)
        | ~ r1(X28,X29)
        | ~ p1(X29)
        | ~ r1(esk1_0,X27) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).

cnf(c_0_3_004,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ p3(esk4_3(X1,X2,X3))
    | ~ p2(X2)
    | ~ r1(X2,X4)
    | ~ p2(X5)
    | ~ r1(esk5_3(X1,X2,X4),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_005,negated_conjecture,
    ( r1(X3,esk4_3(X1,X2,X3))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ p2(X2)
    | ~ r1(X2,X4)
    | ~ p2(X5)
    | ~ r1(esk5_3(X1,X2,X4),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5_006,negated_conjecture,
    ( r1(X4,esk5_3(X1,X2,X4))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ p3(esk4_3(X1,X2,X3))
    | ~ p2(X2)
    | ~ r1(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6_007,negated_conjecture,
    ( r1(X3,esk4_3(X1,X2,X3))
    | r1(X4,esk5_3(X1,X2,X4))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ p2(X2)
    | ~ r1(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7_008,negated_conjecture,
    ( p2(X3)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ p2(X2)
    | ~ r1(X2,X4)
    | ~ p2(X5)
    | ~ r1(esk5_3(X1,X2,X4),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8_009,negated_conjecture,
    ( p2(X3)
    | r1(X4,esk5_3(X1,X2,X4))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ p2(X2)
    | ~ r1(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9_010,negated_conjecture,
    ( r1(esk2_2(X1,X2),esk3_2(X1,X2))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,negated_conjecture,
    ( p1(esk1_0)
    | r1(X1,esk6_1(X1))
    | p1(X3)
    | ~ r1(esk1_0,X1)
    | ~ p1(X2)
    | ~ r1(X2,X3)
    | ~ r1(esk7_0,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11,negated_conjecture,
    ( p1(esk1_0)
    | p1(X3)
    | ~ r1(esk1_0,X1)
    | ~ p1(esk6_1(X1))
    | ~ p1(X2)
    | ~ r1(X2,X3)
    | ~ r1(esk7_0,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12,negated_conjecture,
    ( r1(X1,esk13_1(X1))
    | ~ r1(esk1_0,X1)
    | ~ p1(X2)
    | ~ r1(X3,X2)
    | ~ r1(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ p3(esk3_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_14,negated_conjecture,
    ( p1(esk13_1(X1))
    | ~ r1(esk1_0,X1)
    | ~ p1(X2)
    | ~ r1(X3,X2)
    | ~ r1(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_15,negated_conjecture,
    ( r1(X2,esk2_2(X1,X2))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_16,negated_conjecture,
    ( p2(esk2_2(X1,X2))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_17,negated_conjecture,
    ( p1(esk1_0)
    | r1(X1,esk6_1(X1))
    | r1(esk1_0,esk7_0)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_18,negated_conjecture,
    ( p1(esk1_0)
    | r1(esk1_0,esk7_0)
    | ~ r1(esk1_0,X1)
    | ~ p1(esk6_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_19,negated_conjecture,
    ( p1(esk1_0)
    | r1(X1,esk6_1(X1))
    | ~ r1(esk1_0,X1)
    | ~ p1(esk7_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_20,negated_conjecture,
    ( p1(esk1_0)
    | ~ r1(esk1_0,X1)
    | ~ p1(esk6_1(X1))
    | ~ p1(esk7_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_21,negated_conjecture,
    ( r1(X1,esk12_1(X1))
    | ~ r1(esk11_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ r1(esk11_0,X1)
    | ~ p2(esk12_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ p4(X1)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_24,negated_conjecture,
    ( p1(X1)
    | ~ r1(esk9_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_25,negated_conjecture,
    r1(esk1_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_26,negated_conjecture,
    r1(esk8_0,esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_27,negated_conjecture,
    r1(esk8_0,esk10_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_28,negated_conjecture,
    r1(esk1_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_29,negated_conjecture,
    ~ p1(esk10_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ p3(esk4_3(X1,X2,X3))
    | ~ p2(X2)
    | ~ r1(X2,X4)
    | ~ p2(X5)
    | ~ r1(esk5_3(X1,X2,X4),X5) ),
    c_0_3,
    [final] ).

cnf(c_0_31,negated_conjecture,
    ( r1(X3,esk4_3(X1,X2,X3))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ p2(X2)
    | ~ r1(X2,X4)
    | ~ p2(X5)
    | ~ r1(esk5_3(X1,X2,X4),X5) ),
    c_0_4,
    [final] ).

cnf(c_0_32,negated_conjecture,
    ( r1(X4,esk5_3(X1,X2,X4))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ p3(esk4_3(X1,X2,X3))
    | ~ p2(X2)
    | ~ r1(X2,X4) ),
    c_0_5,
    [final] ).

cnf(c_0_33,negated_conjecture,
    ( r1(X3,esk4_3(X1,X2,X3))
    | r1(X4,esk5_3(X1,X2,X4))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ p2(X2)
    | ~ r1(X2,X4) ),
    c_0_6,
    [final] ).

cnf(c_0_34,negated_conjecture,
    ( p2(X3)
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ p2(X2)
    | ~ r1(X2,X4)
    | ~ p2(X5)
    | ~ r1(esk5_3(X1,X2,X4),X5) ),
    c_0_7,
    [final] ).

cnf(c_0_35,negated_conjecture,
    ( p2(X3)
    | r1(X4,esk5_3(X1,X2,X4))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ r1(X2,X3)
    | ~ p2(X2)
    | ~ r1(X2,X4) ),
    c_0_8,
    [final] ).

cnf(c_0_36,negated_conjecture,
    ( r1(esk2_2(X1,X2),esk3_2(X1,X2))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2) ),
    c_0_9,
    [final] ).

cnf(c_0_37,negated_conjecture,
    ( p1(esk1_0)
    | r1(X1,esk6_1(X1))
    | p1(X3)
    | ~ r1(esk1_0,X1)
    | ~ p1(X2)
    | ~ r1(X2,X3)
    | ~ r1(esk7_0,X2) ),
    c_0_10,
    [final] ).

cnf(c_0_38,negated_conjecture,
    ( p1(esk1_0)
    | p1(X3)
    | ~ r1(esk1_0,X1)
    | ~ p1(esk6_1(X1))
    | ~ p1(X2)
    | ~ r1(X2,X3)
    | ~ r1(esk7_0,X2) ),
    c_0_11,
    [final] ).

cnf(c_0_39,negated_conjecture,
    ( r1(X1,esk13_1(X1))
    | ~ r1(esk1_0,X1)
    | ~ p1(X2)
    | ~ r1(X3,X2)
    | ~ r1(X1,X3) ),
    c_0_12,
    [final] ).

cnf(c_0_40,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ p3(esk3_2(X1,X2)) ),
    c_0_13,
    [final] ).

cnf(c_0_41,negated_conjecture,
    ( p1(esk13_1(X1))
    | ~ r1(esk1_0,X1)
    | ~ p1(X2)
    | ~ r1(X3,X2)
    | ~ r1(X1,X3) ),
    c_0_14,
    [final] ).

cnf(c_0_42,negated_conjecture,
    ( r1(X2,esk2_2(X1,X2))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2) ),
    c_0_15,
    [final] ).

cnf(c_0_43,negated_conjecture,
    ( p2(esk2_2(X1,X2))
    | ~ r1(esk1_0,X1)
    | ~ r1(X1,X2) ),
    c_0_16,
    [final] ).

cnf(c_0_44,negated_conjecture,
    ( p1(esk1_0)
    | r1(X1,esk6_1(X1))
    | r1(esk1_0,esk7_0)
    | ~ r1(esk1_0,X1) ),
    c_0_17,
    [final] ).

cnf(c_0_45,negated_conjecture,
    ( p1(esk1_0)
    | r1(esk1_0,esk7_0)
    | ~ r1(esk1_0,X1)
    | ~ p1(esk6_1(X1)) ),
    c_0_18,
    [final] ).

cnf(c_0_46,negated_conjecture,
    ( p1(esk1_0)
    | r1(X1,esk6_1(X1))
    | ~ r1(esk1_0,X1)
    | ~ p1(esk7_0) ),
    c_0_19,
    [final] ).

cnf(c_0_47,negated_conjecture,
    ( p1(esk1_0)
    | ~ r1(esk1_0,X1)
    | ~ p1(esk6_1(X1))
    | ~ p1(esk7_0) ),
    c_0_20,
    [final] ).

cnf(c_0_48,negated_conjecture,
    ( r1(X1,esk12_1(X1))
    | ~ r1(esk11_0,X1) ),
    c_0_21,
    [final] ).

cnf(c_0_49,negated_conjecture,
    ( ~ r1(esk11_0,X1)
    | ~ p2(esk12_1(X1)) ),
    c_0_22,
    [final] ).

cnf(c_0_50,negated_conjecture,
    ( ~ p4(X1)
    | ~ r1(esk1_0,X1) ),
    c_0_23,
    [final] ).

cnf(c_0_51,negated_conjecture,
    ( p1(X1)
    | ~ r1(esk9_0,X1) ),
    c_0_24,
    [final] ).

cnf(c_0_52,negated_conjecture,
    r1(esk1_0,esk8_0),
    c_0_25,
    [final] ).

cnf(c_0_53,negated_conjecture,
    r1(esk8_0,esk9_0),
    c_0_26,
    [final] ).

cnf(c_0_54,negated_conjecture,
    r1(esk8_0,esk10_0),
    c_0_27,
    [final] ).

cnf(c_0_55,negated_conjecture,
    r1(esk1_0,esk11_0),
    c_0_28,
    [final] ).

cnf(c_0_56,negated_conjecture,
    ~ p1(esk10_0),
    c_0_29,
    [final] ).

% End CNF derivation

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

cnf(c_15,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p2(sk3_esk2_2(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_eb5d08.p',c_0_43) ).

cnf(c_112,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p2(sk3_esk2_2(X0,X1)) ),
    inference(copy,[status(esa)],[c_15]) ).

cnf(c_229,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p2(sk3_esk2_2(X0,X1)) ),
    inference(copy,[status(esa)],[c_112]) ).

cnf(c_266,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p2(sk3_esk2_2(X0,X1)) ),
    inference(copy,[status(esa)],[c_229]) ).

cnf(c_451,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p2(sk3_esk2_2(X0,X1)) ),
    inference(copy,[status(esa)],[c_266]) ).

cnf(c_2164755,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p2(sk3_esk2_2(X0,X1)) ),
    inference(copy,[status(esa)],[c_451]) ).

cnf(c_3062195,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(X1,sk3_esk11_0),sk3_esk3_2(X1,sk3_esk11_0)))
    | p2(sk3_esk2_2(X0,sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(X1,sk3_esk11_0),sk3_esk3_2(X1,sk3_esk11_0)))) ),
    inference(instantiation,[status(thm)],[c_2164755]) ).

cnf(c_3062196,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ r1(sk3_esk1_0,sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(sk3_esk1_0,sk3_esk11_0),sk3_esk3_2(sk3_esk1_0,sk3_esk11_0)))
    | p2(sk3_esk2_2(sk3_esk1_0,sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(sk3_esk1_0,sk3_esk11_0),sk3_esk3_2(sk3_esk1_0,sk3_esk11_0)))) ),
    inference(instantiation,[status(thm)],[c_3062195]) ).

cnf(c_14,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(X1,sk3_esk2_2(X0,X1))
    | ~ r1(X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_eb5d08.p',c_0_42) ).

cnf(c_110,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(X1,sk3_esk2_2(X0,X1))
    | ~ r1(X0,X1) ),
    inference(copy,[status(esa)],[c_14]) ).

cnf(c_228,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(X1,sk3_esk2_2(X0,X1))
    | ~ r1(X0,X1) ),
    inference(copy,[status(esa)],[c_110]) ).

cnf(c_267,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(X1,sk3_esk2_2(X0,X1))
    | ~ r1(X0,X1) ),
    inference(copy,[status(esa)],[c_228]) ).

cnf(c_450,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(X1,sk3_esk2_2(X0,X1))
    | ~ r1(X0,X1) ),
    inference(copy,[status(esa)],[c_267]) ).

cnf(c_2164754,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(X1,sk3_esk2_2(X0,X1))
    | ~ r1(X0,X1) ),
    inference(copy,[status(esa)],[c_450]) ).

cnf(c_2612436,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(X1,sk3_esk11_0),sk3_esk3_2(X1,sk3_esk11_0)),sk3_esk2_2(X0,sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(X1,sk3_esk11_0),sk3_esk3_2(X1,sk3_esk11_0))))
    | ~ r1(X0,sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(X1,sk3_esk11_0),sk3_esk3_2(X1,sk3_esk11_0))) ),
    inference(instantiation,[status(thm)],[c_2164754]) ).

cnf(c_2612438,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ r1(sk3_esk1_0,sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(sk3_esk1_0,sk3_esk11_0),sk3_esk3_2(sk3_esk1_0,sk3_esk11_0)))
    | r1(sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(sk3_esk1_0,sk3_esk11_0),sk3_esk3_2(sk3_esk1_0,sk3_esk11_0)),sk3_esk2_2(sk3_esk1_0,sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(sk3_esk1_0,sk3_esk11_0),sk3_esk3_2(sk3_esk1_0,sk3_esk11_0)))) ),
    inference(instantiation,[status(thm)],[c_2612436]) ).

cnf(c_6,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(sk3_esk5_3(X0,X1,X2),X3)
    | ~ r1(X1,X2)
    | ~ r1(X1,X4)
    | ~ r1(X0,X1)
    | ~ p2(X3)
    | ~ p2(X1)
    | p2(X4) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_eb5d08.p',c_0_34) ).

cnf(c_86,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(sk3_esk5_3(X0,X1,X2),X3)
    | ~ r1(X1,X2)
    | ~ r1(X1,X4)
    | ~ r1(X0,X1)
    | ~ p2(X3)
    | ~ p2(X1)
    | p2(X4) ),
    inference(copy,[status(esa)],[c_6]) ).

cnf(c_222,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(sk3_esk5_3(X0,X1,X2),X3)
    | ~ r1(X1,X2)
    | ~ r1(X1,X4)
    | ~ r1(X0,X1)
    | ~ p2(X3)
    | ~ p2(X1)
    | p2(X4) ),
    inference(copy,[status(esa)],[c_86]) ).

cnf(c_273,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(sk3_esk5_3(X0,X1,X2),X3)
    | ~ r1(X1,X2)
    | ~ r1(X1,X4)
    | ~ r1(X0,X1)
    | ~ p2(X3)
    | ~ p2(X1)
    | p2(X4) ),
    inference(copy,[status(esa)],[c_222]) ).

cnf(c_444,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(sk3_esk5_3(X0,X1,X2),X3)
    | ~ r1(X1,X2)
    | ~ r1(X1,X4)
    | ~ r1(X0,X1)
    | ~ p2(X3)
    | ~ p2(X1)
    | p2(X4) ),
    inference(copy,[status(esa)],[c_273]) ).

cnf(c_2164748,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(sk3_esk5_3(X0,X1,X2),X3)
    | ~ r1(X1,X2)
    | ~ r1(X1,X4)
    | ~ r1(X0,X1)
    | ~ p2(X3)
    | ~ p2(X1)
    | p2(X4) ),
    inference(copy,[status(esa)],[c_444]) ).

cnf(c_2164786,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(sk3_esk5_3(X0,X1,X2),sk3_esk2_2(X3,X4))
    | ~ r1(X1,X2)
    | ~ r1(X1,X5)
    | ~ r1(X0,X1)
    | ~ p2(sk3_esk2_2(X3,X4))
    | ~ p2(X1)
    | p2(X5) ),
    inference(instantiation,[status(thm)],[c_2164748]) ).

cnf(c_2164812,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(sk3_esk5_3(X0,sk3_esk2_2(X1,X2),X3),sk3_esk2_2(X4,X5))
    | ~ r1(sk3_esk2_2(X1,X2),X3)
    | ~ r1(sk3_esk2_2(X1,X2),X6)
    | ~ r1(X0,sk3_esk2_2(X1,X2))
    | ~ p2(sk3_esk2_2(X4,X5))
    | ~ p2(sk3_esk2_2(X1,X2))
    | p2(X6) ),
    inference(instantiation,[status(thm)],[c_2164786]) ).

cnf(c_2164881,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(sk3_esk5_3(X0,sk3_esk2_2(X1,X2),sk3_esk3_2(X1,X2)),sk3_esk2_2(X3,X4))
    | ~ r1(sk3_esk2_2(X1,X2),sk3_esk3_2(X1,X2))
    | ~ r1(sk3_esk2_2(X1,X2),X5)
    | ~ r1(X0,sk3_esk2_2(X1,X2))
    | ~ p2(sk3_esk2_2(X3,X4))
    | ~ p2(sk3_esk2_2(X1,X2))
    | p2(X5) ),
    inference(instantiation,[status(thm)],[c_2164812]) ).

cnf(c_2164954,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(sk3_esk5_3(X0,sk3_esk2_2(X1,sk3_esk11_0),sk3_esk3_2(X1,sk3_esk11_0)),sk3_esk2_2(X2,X3))
    | ~ r1(sk3_esk2_2(X1,sk3_esk11_0),sk3_esk3_2(X1,sk3_esk11_0))
    | ~ r1(sk3_esk2_2(X1,sk3_esk11_0),sk3_esk12_1(sk3_esk2_2(X1,sk3_esk11_0)))
    | ~ r1(X0,sk3_esk2_2(X1,sk3_esk11_0))
    | ~ p2(sk3_esk2_2(X1,sk3_esk11_0))
    | ~ p2(sk3_esk2_2(X2,X3))
    | p2(sk3_esk12_1(sk3_esk2_2(X1,sk3_esk11_0))) ),
    inference(instantiation,[status(thm)],[c_2164881]) ).

cnf(c_2611797,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk11_0)
    | ~ r1(sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(X0,sk3_esk11_0),sk3_esk3_2(X0,sk3_esk11_0)),sk3_esk2_2(X1,X2))
    | ~ r1(sk3_esk2_2(X0,sk3_esk11_0),sk3_esk3_2(X0,sk3_esk11_0))
    | ~ r1(sk3_esk2_2(X0,sk3_esk11_0),sk3_esk12_1(sk3_esk2_2(X0,sk3_esk11_0)))
    | ~ r1(sk3_esk11_0,sk3_esk2_2(X0,sk3_esk11_0))
    | ~ p2(sk3_esk2_2(X0,sk3_esk11_0))
    | ~ p2(sk3_esk2_2(X1,X2))
    | p2(sk3_esk12_1(sk3_esk2_2(X0,sk3_esk11_0))) ),
    inference(instantiation,[status(thm)],[c_2164954]) ).

cnf(c_2612435,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk11_0)
    | ~ r1(sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(X0,sk3_esk11_0),sk3_esk3_2(X0,sk3_esk11_0)),sk3_esk2_2(X1,sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(X0,sk3_esk11_0),sk3_esk3_2(X0,sk3_esk11_0))))
    | ~ r1(sk3_esk2_2(X0,sk3_esk11_0),sk3_esk3_2(X0,sk3_esk11_0))
    | ~ r1(sk3_esk2_2(X0,sk3_esk11_0),sk3_esk12_1(sk3_esk2_2(X0,sk3_esk11_0)))
    | ~ r1(sk3_esk11_0,sk3_esk2_2(X0,sk3_esk11_0))
    | ~ p2(sk3_esk2_2(X1,sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(X0,sk3_esk11_0),sk3_esk3_2(X0,sk3_esk11_0))))
    | ~ p2(sk3_esk2_2(X0,sk3_esk11_0))
    | p2(sk3_esk12_1(sk3_esk2_2(X0,sk3_esk11_0))) ),
    inference(instantiation,[status(thm)],[c_2611797]) ).

cnf(c_2612437,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk11_0)
    | ~ r1(sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(sk3_esk1_0,sk3_esk11_0),sk3_esk3_2(sk3_esk1_0,sk3_esk11_0)),sk3_esk2_2(sk3_esk1_0,sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(sk3_esk1_0,sk3_esk11_0),sk3_esk3_2(sk3_esk1_0,sk3_esk11_0))))
    | ~ r1(sk3_esk2_2(sk3_esk1_0,sk3_esk11_0),sk3_esk3_2(sk3_esk1_0,sk3_esk11_0))
    | ~ r1(sk3_esk2_2(sk3_esk1_0,sk3_esk11_0),sk3_esk12_1(sk3_esk2_2(sk3_esk1_0,sk3_esk11_0)))
    | ~ r1(sk3_esk11_0,sk3_esk2_2(sk3_esk1_0,sk3_esk11_0))
    | ~ p2(sk3_esk2_2(sk3_esk1_0,sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(sk3_esk1_0,sk3_esk11_0),sk3_esk3_2(sk3_esk1_0,sk3_esk11_0))))
    | ~ p2(sk3_esk2_2(sk3_esk1_0,sk3_esk11_0))
    | p2(sk3_esk12_1(sk3_esk2_2(sk3_esk1_0,sk3_esk11_0))) ),
    inference(instantiation,[status(thm)],[c_2612435]) ).

cnf(c_1,plain,
    ( ~ r1(X0,X1)
    | ~ r1(X1,X2)
    | r1(X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_eb5d08.p',c_0_8_0) ).

cnf(c_471,plain,
    ( ~ r1(X0,X1)
    | ~ r1(X1,X2)
    | r1(X0,X2) ),
    inference(copy,[status(esa)],[c_1]) ).

cnf(c_161498,plain,
    ( r1(sk3_esk1_0,sk3_esk5_3(X0,X1,X2))
    | ~ r1(sk3_esk1_0,X3)
    | ~ r1(X3,sk3_esk5_3(X0,X1,X2)) ),
    inference(instantiation,[status(thm)],[c_471]) ).

cnf(c_277652,plain,
    ( r1(sk3_esk1_0,sk3_esk5_3(X0,sk3_esk2_2(X1,X2),sk3_esk3_2(X1,X2)))
    | ~ r1(sk3_esk1_0,sk3_esk3_2(X1,X2))
    | ~ r1(sk3_esk3_2(X1,X2),sk3_esk5_3(X0,sk3_esk2_2(X1,X2),sk3_esk3_2(X1,X2))) ),
    inference(instantiation,[status(thm)],[c_161498]) ).

cnf(c_638878,plain,
    ( r1(sk3_esk1_0,sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(X0,sk3_esk11_0),sk3_esk3_2(X0,sk3_esk11_0)))
    | ~ r1(sk3_esk1_0,sk3_esk3_2(X0,sk3_esk11_0))
    | ~ r1(sk3_esk3_2(X0,sk3_esk11_0),sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(X0,sk3_esk11_0),sk3_esk3_2(X0,sk3_esk11_0))) ),
    inference(instantiation,[status(thm)],[c_277652]) ).

cnf(c_638879,plain,
    ( r1(sk3_esk1_0,sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(sk3_esk1_0,sk3_esk11_0),sk3_esk3_2(sk3_esk1_0,sk3_esk11_0)))
    | ~ r1(sk3_esk1_0,sk3_esk3_2(sk3_esk1_0,sk3_esk11_0))
    | ~ r1(sk3_esk3_2(sk3_esk1_0,sk3_esk11_0),sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(sk3_esk1_0,sk3_esk11_0),sk3_esk3_2(sk3_esk1_0,sk3_esk11_0))) ),
    inference(instantiation,[status(thm)],[c_638878]) ).

cnf(c_7,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(X1,sk3_esk5_3(X0,X2,X1))
    | ~ r1(X2,X1)
    | ~ r1(X2,X3)
    | ~ r1(X0,X2)
    | ~ p2(X2)
    | p2(X3) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_eb5d08.p',c_0_35) ).

cnf(c_88,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(X1,sk3_esk5_3(X0,X2,X1))
    | ~ r1(X2,X1)
    | ~ r1(X2,X3)
    | ~ r1(X0,X2)
    | ~ p2(X2)
    | p2(X3) ),
    inference(copy,[status(esa)],[c_7]) ).

cnf(c_223,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(X1,sk3_esk5_3(X0,X2,X1))
    | ~ r1(X2,X1)
    | ~ r1(X2,X3)
    | ~ r1(X0,X2)
    | ~ p2(X2)
    | p2(X3) ),
    inference(copy,[status(esa)],[c_88]) ).

cnf(c_272,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(X1,sk3_esk5_3(X0,X2,X1))
    | ~ r1(X2,X1)
    | ~ r1(X2,X3)
    | ~ r1(X0,X2)
    | ~ p2(X2)
    | p2(X3) ),
    inference(copy,[status(esa)],[c_223]) ).

cnf(c_445,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(X1,sk3_esk5_3(X0,X2,X1))
    | ~ r1(X2,X1)
    | ~ r1(X2,X3)
    | ~ r1(X0,X2)
    | ~ p2(X2)
    | p2(X3) ),
    inference(copy,[status(esa)],[c_272]) ).

cnf(c_477,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(X1,sk3_esk5_3(X0,X2,X1))
    | ~ r1(X2,X1)
    | ~ r1(X2,X3)
    | ~ r1(X0,X2)
    | ~ p2(X2)
    | p2(X3) ),
    inference(copy,[status(esa)],[c_445]) ).

cnf(c_34422,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(sk3_esk2_2(X1,X2),X3)
    | ~ r1(sk3_esk2_2(X1,X2),X4)
    | r1(X3,sk3_esk5_3(X0,sk3_esk2_2(X1,X2),X3))
    | ~ r1(X0,sk3_esk2_2(X1,X2))
    | ~ p2(sk3_esk2_2(X1,X2))
    | p2(X4) ),
    inference(instantiation,[status(thm)],[c_477]) ).

cnf(c_34472,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(sk3_esk2_2(X1,X2),sk3_esk3_2(X1,X2))
    | ~ r1(sk3_esk2_2(X1,X2),X3)
    | r1(sk3_esk3_2(X1,X2),sk3_esk5_3(X0,sk3_esk2_2(X1,X2),sk3_esk3_2(X1,X2)))
    | ~ r1(X0,sk3_esk2_2(X1,X2))
    | ~ p2(sk3_esk2_2(X1,X2))
    | p2(X3) ),
    inference(instantiation,[status(thm)],[c_34422]) ).

cnf(c_34590,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(sk3_esk2_2(X1,sk3_esk11_0),sk3_esk3_2(X1,sk3_esk11_0))
    | ~ r1(sk3_esk2_2(X1,sk3_esk11_0),sk3_esk12_1(sk3_esk2_2(X1,sk3_esk11_0)))
    | r1(sk3_esk3_2(X1,sk3_esk11_0),sk3_esk5_3(X0,sk3_esk2_2(X1,sk3_esk11_0),sk3_esk3_2(X1,sk3_esk11_0)))
    | ~ r1(X0,sk3_esk2_2(X1,sk3_esk11_0))
    | ~ p2(sk3_esk2_2(X1,sk3_esk11_0))
    | p2(sk3_esk12_1(sk3_esk2_2(X1,sk3_esk11_0))) ),
    inference(instantiation,[status(thm)],[c_34472]) ).

cnf(c_85673,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk11_0)
    | ~ r1(sk3_esk2_2(X0,sk3_esk11_0),sk3_esk3_2(X0,sk3_esk11_0))
    | ~ r1(sk3_esk2_2(X0,sk3_esk11_0),sk3_esk12_1(sk3_esk2_2(X0,sk3_esk11_0)))
    | r1(sk3_esk3_2(X0,sk3_esk11_0),sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(X0,sk3_esk11_0),sk3_esk3_2(X0,sk3_esk11_0)))
    | ~ r1(sk3_esk11_0,sk3_esk2_2(X0,sk3_esk11_0))
    | ~ p2(sk3_esk2_2(X0,sk3_esk11_0))
    | p2(sk3_esk12_1(sk3_esk2_2(X0,sk3_esk11_0))) ),
    inference(instantiation,[status(thm)],[c_34590]) ).

cnf(c_85674,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk11_0)
    | ~ r1(sk3_esk2_2(sk3_esk1_0,sk3_esk11_0),sk3_esk3_2(sk3_esk1_0,sk3_esk11_0))
    | ~ r1(sk3_esk2_2(sk3_esk1_0,sk3_esk11_0),sk3_esk12_1(sk3_esk2_2(sk3_esk1_0,sk3_esk11_0)))
    | r1(sk3_esk3_2(sk3_esk1_0,sk3_esk11_0),sk3_esk5_3(sk3_esk11_0,sk3_esk2_2(sk3_esk1_0,sk3_esk11_0),sk3_esk3_2(sk3_esk1_0,sk3_esk11_0)))
    | ~ r1(sk3_esk11_0,sk3_esk2_2(sk3_esk1_0,sk3_esk11_0))
    | ~ p2(sk3_esk2_2(sk3_esk1_0,sk3_esk11_0))
    | p2(sk3_esk12_1(sk3_esk2_2(sk3_esk1_0,sk3_esk11_0))) ),
    inference(instantiation,[status(thm)],[c_85673]) ).

cnf(c_34834,plain,
    ( ~ r1(X0,sk3_esk3_2(X1,X2))
    | r1(X3,sk3_esk3_2(X1,X2))
    | ~ r1(X3,X0) ),
    inference(instantiation,[status(thm)],[c_471]) ).

cnf(c_35292,plain,
    ( ~ r1(sk3_esk11_0,sk3_esk3_2(X0,sk3_esk11_0))
    | r1(X1,sk3_esk3_2(X0,sk3_esk11_0))
    | ~ r1(X1,sk3_esk11_0) ),
    inference(instantiation,[status(thm)],[c_34834]) ).

cnf(c_35293,plain,
    ( r1(sk3_esk1_0,sk3_esk3_2(sk3_esk1_0,sk3_esk11_0))
    | ~ r1(sk3_esk1_0,sk3_esk11_0)
    | ~ r1(sk3_esk11_0,sk3_esk3_2(sk3_esk1_0,sk3_esk11_0)) ),
    inference(instantiation,[status(thm)],[c_35292]) ).

cnf(c_483,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,X1)
    | p2(sk3_esk2_2(X0,X1)) ),
    inference(copy,[status(esa)],[c_451]) ).

cnf(c_35044,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | ~ r1(X0,sk3_esk11_0)
    | p2(sk3_esk2_2(X0,sk3_esk11_0)) ),
    inference(instantiation,[status(thm)],[c_483]) ).

cnf(c_35045,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ r1(sk3_esk1_0,sk3_esk11_0)
    | p2(sk3_esk2_2(sk3_esk1_0,sk3_esk11_0)) ),
    inference(instantiation,[status(thm)],[c_35044]) ).

cnf(c_34427,plain,
    ( ~ r1(sk3_esk11_0,X0)
    | r1(sk3_esk11_0,X1)
    | ~ r1(X0,X1) ),
    inference(instantiation,[status(thm)],[c_471]) ).

cnf(c_34459,plain,
    ( ~ r1(sk3_esk2_2(X0,sk3_esk11_0),X1)
    | ~ r1(sk3_esk11_0,sk3_esk2_2(X0,sk3_esk11_0))
    | r1(sk3_esk11_0,X1) ),
    inference(instantiation,[status(thm)],[c_34427]) ).

cnf(c_34522,plain,
    ( ~ r1(sk3_esk2_2(X0,sk3_esk11_0),sk3_esk3_2(X0,sk3_esk11_0))
    | ~ r1(sk3_esk11_0,sk3_esk2_2(X0,sk3_esk11_0))
    | r1(sk3_esk11_0,sk3_esk3_2(X0,sk3_esk11_0)) ),
    inference(instantiation,[status(thm)],[c_34459]) ).

cnf(c_34523,plain,
    ( ~ r1(sk3_esk2_2(sk3_esk1_0,sk3_esk11_0),sk3_esk3_2(sk3_esk1_0,sk3_esk11_0))
    | ~ r1(sk3_esk11_0,sk3_esk2_2(sk3_esk1_0,sk3_esk11_0))
    | r1(sk3_esk11_0,sk3_esk3_2(sk3_esk1_0,sk3_esk11_0)) ),
    inference(instantiation,[status(thm)],[c_34522]) ).

cnf(c_8,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(sk3_esk2_2(X0,X1),sk3_esk3_2(X0,X1))
    | ~ r1(X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_eb5d08.p',c_0_36) ).

cnf(c_90,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(sk3_esk2_2(X0,X1),sk3_esk3_2(X0,X1))
    | ~ r1(X0,X1) ),
    inference(copy,[status(esa)],[c_8]) ).

cnf(c_224,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(sk3_esk2_2(X0,X1),sk3_esk3_2(X0,X1))
    | ~ r1(X0,X1) ),
    inference(copy,[status(esa)],[c_90]) ).

cnf(c_271,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(sk3_esk2_2(X0,X1),sk3_esk3_2(X0,X1))
    | ~ r1(X0,X1) ),
    inference(copy,[status(esa)],[c_224]) ).

cnf(c_446,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(sk3_esk2_2(X0,X1),sk3_esk3_2(X0,X1))
    | ~ r1(X0,X1) ),
    inference(copy,[status(esa)],[c_271]) ).

cnf(c_478,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(sk3_esk2_2(X0,X1),sk3_esk3_2(X0,X1))
    | ~ r1(X0,X1) ),
    inference(copy,[status(esa)],[c_446]) ).

cnf(c_34512,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(sk3_esk2_2(X0,sk3_esk11_0),sk3_esk3_2(X0,sk3_esk11_0))
    | ~ r1(X0,sk3_esk11_0) ),
    inference(instantiation,[status(thm)],[c_478]) ).

cnf(c_34514,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ r1(sk3_esk1_0,sk3_esk11_0)
    | r1(sk3_esk2_2(sk3_esk1_0,sk3_esk11_0),sk3_esk3_2(sk3_esk1_0,sk3_esk11_0)) ),
    inference(instantiation,[status(thm)],[c_34512]) ).

cnf(c_20,negated_conjecture,
    ( ~ r1(sk3_esk11_0,X0)
    | r1(X0,sk3_esk12_1(X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_eb5d08.p',c_0_48) ).

cnf(c_130,negated_conjecture,
    ( ~ r1(sk3_esk11_0,X0)
    | r1(X0,sk3_esk12_1(X0)) ),
    inference(copy,[status(esa)],[c_20]) ).

cnf(c_230,negated_conjecture,
    ( ~ r1(sk3_esk11_0,X0)
    | r1(X0,sk3_esk12_1(X0)) ),
    inference(copy,[status(esa)],[c_130]) ).

cnf(c_265,negated_conjecture,
    ( ~ r1(sk3_esk11_0,X0)
    | r1(X0,sk3_esk12_1(X0)) ),
    inference(copy,[status(esa)],[c_230]) ).

cnf(c_456,negated_conjecture,
    ( ~ r1(sk3_esk11_0,X0)
    | r1(X0,sk3_esk12_1(X0)) ),
    inference(copy,[status(esa)],[c_265]) ).

cnf(c_488,negated_conjecture,
    ( ~ r1(sk3_esk11_0,X0)
    | r1(X0,sk3_esk12_1(X0)) ),
    inference(copy,[status(esa)],[c_456]) ).

cnf(c_34413,plain,
    ( r1(sk3_esk2_2(X0,sk3_esk11_0),sk3_esk12_1(sk3_esk2_2(X0,sk3_esk11_0)))
    | ~ r1(sk3_esk11_0,sk3_esk2_2(X0,sk3_esk11_0)) ),
    inference(instantiation,[status(thm)],[c_488]) ).

cnf(c_34417,plain,
    ( r1(sk3_esk2_2(sk3_esk1_0,sk3_esk11_0),sk3_esk12_1(sk3_esk2_2(sk3_esk1_0,sk3_esk11_0)))
    | ~ r1(sk3_esk11_0,sk3_esk2_2(sk3_esk1_0,sk3_esk11_0)) ),
    inference(instantiation,[status(thm)],[c_34413]) ).

cnf(c_21,negated_conjecture,
    ( ~ r1(sk3_esk11_0,X0)
    | ~ p2(sk3_esk12_1(X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_eb5d08.p',c_0_49) ).

cnf(c_132,negated_conjecture,
    ( ~ r1(sk3_esk11_0,X0)
    | ~ p2(sk3_esk12_1(X0)) ),
    inference(copy,[status(esa)],[c_21]) ).

cnf(c_231,negated_conjecture,
    ( ~ r1(sk3_esk11_0,X0)
    | ~ p2(sk3_esk12_1(X0)) ),
    inference(copy,[status(esa)],[c_132]) ).

cnf(c_264,negated_conjecture,
    ( ~ r1(sk3_esk11_0,X0)
    | ~ p2(sk3_esk12_1(X0)) ),
    inference(copy,[status(esa)],[c_231]) ).

cnf(c_458,negated_conjecture,
    ( ~ r1(sk3_esk11_0,X0)
    | ~ p2(sk3_esk12_1(X0)) ),
    inference(copy,[status(esa)],[c_264]) ).

cnf(c_490,negated_conjecture,
    ( ~ r1(sk3_esk11_0,X0)
    | ~ p2(sk3_esk12_1(X0)) ),
    inference(copy,[status(esa)],[c_458]) ).

cnf(c_34414,plain,
    ( ~ r1(sk3_esk11_0,sk3_esk2_2(X0,sk3_esk11_0))
    | ~ p2(sk3_esk12_1(sk3_esk2_2(X0,sk3_esk11_0))) ),
    inference(instantiation,[status(thm)],[c_490]) ).

cnf(c_34416,plain,
    ( ~ r1(sk3_esk11_0,sk3_esk2_2(sk3_esk1_0,sk3_esk11_0))
    | ~ p2(sk3_esk12_1(sk3_esk2_2(sk3_esk1_0,sk3_esk11_0))) ),
    inference(instantiation,[status(thm)],[c_34414]) ).

cnf(c_482,negated_conjecture,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(X1,sk3_esk2_2(X0,X1))
    | ~ r1(X0,X1) ),
    inference(copy,[status(esa)],[c_450]) ).

cnf(c_34412,plain,
    ( ~ r1(sk3_esk1_0,X0)
    | r1(sk3_esk11_0,sk3_esk2_2(X0,sk3_esk11_0))
    | ~ r1(X0,sk3_esk11_0) ),
    inference(instantiation,[status(thm)],[c_482]) ).

cnf(c_34415,plain,
    ( ~ r1(sk3_esk1_0,sk3_esk1_0)
    | ~ r1(sk3_esk1_0,sk3_esk11_0)
    | r1(sk3_esk11_0,sk3_esk2_2(sk3_esk1_0,sk3_esk11_0)) ),
    inference(instantiation,[status(thm)],[c_34412]) ).

cnf(c_0,plain,
    r1(X0,X0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_eb5d08.p',c_0_9_0) ).

cnf(c_47,plain,
    r1(sk3_esk1_0,sk3_esk1_0),
    inference(instantiation,[status(thm)],[c_0]) ).

cnf(c_28,negated_conjecture,
    r1(sk3_esk1_0,sk3_esk11_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_eb5d08.p',c_0_55) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_3062196,c_2612438,c_2612437,c_638879,c_85674,c_35293,c_35045,c_34523,c_34514,c_34417,c_34416,c_34415,c_47,c_28]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LCL688+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : iprover_modulo %s %d
% 0.12/0.33  % Computer : n016.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul  3 09:45:15 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Running in mono-core mode
% 0.18/0.39  % Orienting using strategy Equiv(ClausalAll)
% 0.18/0.39  % FOF problem with conjecture
% 0.18/0.39  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_404053.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_eb5d08.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_f5a3eb | grep -v "SZS"
% 0.18/0.41  
% 0.18/0.41  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.18/0.41  
% 0.18/0.41  % 
% 0.18/0.41  % ------  iProver source info 
% 0.18/0.41  
% 0.18/0.41  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.18/0.41  % git: non_committed_changes: true
% 0.18/0.41  % git: last_make_outside_of_git: true
% 0.18/0.41  
% 0.18/0.41  % 
% 0.18/0.41  % ------ Input Options
% 0.18/0.41  
% 0.18/0.41  % --out_options                         all
% 0.18/0.41  % --tptp_safe_out                       true
% 0.18/0.41  % --problem_path                        ""
% 0.18/0.41  % --include_path                        ""
% 0.18/0.41  % --clausifier                          .//eprover
% 0.18/0.41  % --clausifier_options                  --tstp-format  
% 0.18/0.41  % --stdin                               false
% 0.18/0.41  % --dbg_backtrace                       false
% 0.18/0.41  % --dbg_dump_prop_clauses               false
% 0.18/0.41  % --dbg_dump_prop_clauses_file          -
% 0.18/0.41  % --dbg_out_stat                        false
% 0.18/0.41  
% 0.18/0.41  % ------ General Options
% 0.18/0.41  
% 0.18/0.41  % --fof                                 false
% 0.18/0.41  % --time_out_real                       150.
% 0.18/0.41  % --time_out_prep_mult                  0.2
% 0.18/0.41  % --time_out_virtual                    -1.
% 0.18/0.41  % --schedule                            none
% 0.18/0.41  % --ground_splitting                    input
% 0.18/0.41  % --splitting_nvd                       16
% 0.18/0.41  % --non_eq_to_eq                        false
% 0.18/0.41  % --prep_gs_sim                         true
% 0.18/0.41  % --prep_unflatten                      false
% 0.18/0.41  % --prep_res_sim                        true
% 0.18/0.41  % --prep_upred                          true
% 0.18/0.41  % --res_sim_input                       true
% 0.18/0.41  % --clause_weak_htbl                    true
% 0.18/0.41  % --gc_record_bc_elim                   false
% 0.18/0.41  % --symbol_type_check                   false
% 0.18/0.41  % --clausify_out                        false
% 0.18/0.41  % --large_theory_mode                   false
% 0.18/0.41  % --prep_sem_filter                     none
% 0.18/0.41  % --prep_sem_filter_out                 false
% 0.18/0.41  % --preprocessed_out                    false
% 0.18/0.41  % --sub_typing                          false
% 0.18/0.41  % --brand_transform                     false
% 0.18/0.41  % --pure_diseq_elim                     true
% 0.18/0.41  % --min_unsat_core                      false
% 0.18/0.41  % --pred_elim                           true
% 0.18/0.41  % --add_important_lit                   false
% 0.18/0.41  % --soft_assumptions                    false
% 0.18/0.41  % --reset_solvers                       false
% 0.18/0.41  % --bc_imp_inh                          []
% 0.18/0.41  % --conj_cone_tolerance                 1.5
% 0.18/0.41  % --prolific_symb_bound                 500
% 0.18/0.41  % --lt_threshold                        2000
% 0.18/0.41  
% 0.18/0.41  % ------ SAT Options
% 0.18/0.41  
% 0.18/0.41  % --sat_mode                            false
% 0.18/0.41  % --sat_fm_restart_options              ""
% 0.18/0.41  % --sat_gr_def                          false
% 0.18/0.41  % --sat_epr_types                       true
% 0.18/0.41  % --sat_non_cyclic_types                false
% 0.18/0.41  % --sat_finite_models                   false
% 0.18/0.41  % --sat_fm_lemmas                       false
% 0.18/0.41  % --sat_fm_prep                         false
% 0.18/0.41  % --sat_fm_uc_incr                      true
% 0.18/0.41  % --sat_out_model                       small
% 0.18/0.41  % --sat_out_clauses                     false
% 0.18/0.41  
% 0.18/0.41  % ------ QBF Options
% 0.18/0.41  
% 0.18/0.41  % --qbf_mode                            false
% 0.18/0.41  % --qbf_elim_univ                       true
% 0.18/0.41  % --qbf_sk_in                           true
% 0.18/0.41  % --qbf_pred_elim                       true
% 0.18/0.41  % --qbf_split                           32
% 0.18/0.41  
% 0.18/0.41  % ------ BMC1 Options
% 0.18/0.41  
% 0.18/0.41  % --bmc1_incremental                    false
% 0.18/0.41  % --bmc1_axioms                         reachable_all
% 0.18/0.41  % --bmc1_min_bound                      0
% 0.18/0.41  % --bmc1_max_bound                      -1
% 0.18/0.41  % --bmc1_max_bound_default              -1
% 0.18/0.41  % --bmc1_symbol_reachability            true
% 0.18/0.41  % --bmc1_property_lemmas                false
% 0.18/0.41  % --bmc1_k_induction                    false
% 0.18/0.41  % --bmc1_non_equiv_states               false
% 0.18/0.41  % --bmc1_deadlock                       false
% 0.18/0.41  % --bmc1_ucm                            false
% 0.18/0.41  % --bmc1_add_unsat_core                 none
% 0.18/0.41  % --bmc1_unsat_core_children            false
% 0.18/0.41  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.18/0.41  % --bmc1_out_stat                       full
% 0.18/0.41  % --bmc1_ground_init                    false
% 0.18/0.41  % --bmc1_pre_inst_next_state            false
% 0.18/0.41  % --bmc1_pre_inst_state                 false
% 0.18/0.41  % --bmc1_pre_inst_reach_state           false
% 0.18/0.41  % --bmc1_out_unsat_core                 false
% 0.18/0.41  % --bmc1_aig_witness_out                false
% 0.18/0.41  % --bmc1_verbose                        false
% 0.18/0.41  % --bmc1_dump_clauses_tptp              false
% 0.18/0.42  % --bmc1_dump_unsat_core_tptp           false
% 0.18/0.42  % --bmc1_dump_file                      -
% 0.18/0.42  % --bmc1_ucm_expand_uc_limit            128
% 0.18/0.42  % --bmc1_ucm_n_expand_iterations        6
% 0.18/0.42  % --bmc1_ucm_extend_mode                1
% 0.18/0.42  % --bmc1_ucm_init_mode                  2
% 0.18/0.42  % --bmc1_ucm_cone_mode                  none
% 0.18/0.42  % --bmc1_ucm_reduced_relation_type      0
% 0.18/0.42  % --bmc1_ucm_relax_model                4
% 0.18/0.42  % --bmc1_ucm_full_tr_after_sat          true
% 0.18/0.42  % --bmc1_ucm_expand_neg_assumptions     false
% 0.18/0.42  % --bmc1_ucm_layered_model              none
% 0.18/0.42  % --bmc1_ucm_max_lemma_size             10
% 0.18/0.42  
% 0.18/0.42  % ------ AIG Options
% 0.18/0.42  
% 0.18/0.42  % --aig_mode                            false
% 0.18/0.42  
% 0.18/0.42  % ------ Instantiation Options
% 0.18/0.42  
% 0.18/0.42  % --instantiation_flag                  true
% 0.18/0.42  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.18/0.42  % --inst_solver_per_active              750
% 0.18/0.42  % --inst_solver_calls_frac              0.5
% 0.18/0.42  % --inst_passive_queue_type             priority_queues
% 0.18/0.42  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.18/0.42  % --inst_passive_queues_freq            [25;2]
% 0.18/0.42  % --inst_dismatching                    true
% 0.18/0.42  % --inst_eager_unprocessed_to_passive   true
% 0.18/0.42  % --inst_prop_sim_given                 true
% 0.18/0.42  % --inst_prop_sim_new                   false
% 0.18/0.42  % --inst_orphan_elimination             true
% 0.18/0.42  % --inst_learning_loop_flag             true
% 0.18/0.42  % --inst_learning_start                 3000
% 0.18/0.42  % --inst_learning_factor                2
% 0.18/0.42  % --inst_start_prop_sim_after_learn     3
% 0.18/0.42  % --inst_sel_renew                      solver
% 0.18/0.42  % --inst_lit_activity_flag              true
% 0.18/0.42  % --inst_out_proof                      true
% 0.18/0.42  
% 0.18/0.42  % ------ Resolution Options
% 0.18/0.42  
% 0.18/0.42  % --resolution_flag                     true
% 0.18/0.42  % --res_lit_sel                         kbo_max
% 0.18/0.42  % --res_to_prop_solver                  none
% 0.18/0.42  % --res_prop_simpl_new                  false
% 0.18/0.42  % --res_prop_simpl_given                false
% 0.18/0.42  % --res_passive_queue_type              priority_queues
% 0.18/0.42  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.18/0.42  % --res_passive_queues_freq             [15;5]
% 0.18/0.42  % --res_forward_subs                    full
% 0.18/0.42  % --res_backward_subs                   full
% 0.18/0.42  % --res_forward_subs_resolution         true
% 0.18/0.42  % --res_backward_subs_resolution        true
% 0.18/0.42  % --res_orphan_elimination              false
% 0.18/0.42  % --res_time_limit                      1000.
% 0.18/0.42  % --res_out_proof                       true
% 0.18/0.42  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_404053.s
% 0.18/0.42  % --modulo                              true
% 0.18/0.42  
% 0.18/0.42  % ------ Combination Options
% 0.18/0.42  
% 0.18/0.42  % --comb_res_mult                       1000
% 0.18/0.42  % --comb_inst_mult                      300
% 0.18/0.42  % ------ 
% 0.18/0.42  
% 0.18/0.42  % ------ Parsing...% successful
% 0.18/0.42  
% 0.18/0.42  % ------ Preprocessing... gs_s  sp: 16 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.18/0.42  
% 0.18/0.42  % ------ Proving...
% 0.18/0.42  % ------ Problem Properties 
% 0.18/0.42  
% 0.18/0.42  % 
% 0.18/0.42  % EPR                                   false
% 0.18/0.42  % Horn                                  false
% 0.18/0.42  % Has equality                          false
% 0.18/0.42  
% 0.18/0.42  % % ------ Input Options Time Limit: Unbounded
% 0.18/0.42  
% 0.18/0.42  
% 0.18/0.42  % % ------ Current options:
% 0.18/0.42  
% 0.18/0.42  % ------ Input Options
% 0.18/0.42  
% 0.18/0.42  % --out_options                         all
% 0.18/0.42  % --tptp_safe_out                       true
% 0.18/0.42  % --problem_path                        ""
% 0.18/0.42  % --include_path                        ""
% 0.18/0.42  % --clausifier                          .//eprover
% 0.18/0.42  % --clausifier_options                  --tstp-format  
% 0.18/0.42  % --stdin                               false
% 0.18/0.42  % --dbg_backtrace                       false
% 0.18/0.42  % --dbg_dump_prop_clauses               false
% 0.18/0.42  % --dbg_dump_prop_clauses_file          -
% 0.18/0.42  % --dbg_out_stat                        false
% 0.18/0.42  
% 0.18/0.42  % ------ General Options
% 0.18/0.42  
% 0.18/0.42  % --fof                                 false
% 0.18/0.42  % --time_out_real                       150.
% 0.18/0.42  % --time_out_prep_mult                  0.2
% 0.18/0.42  % --time_out_virtual                    -1.
% 0.18/0.42  % --schedule                            none
% 0.18/0.42  % --ground_splitting                    input
% 0.18/0.42  % --splitting_nvd                       16
% 0.18/0.42  % --non_eq_to_eq                        false
% 0.18/0.42  % --prep_gs_sim                         true
% 0.18/0.42  % --prep_unflatten                      false
% 0.18/0.42  % --prep_res_sim                        true
% 0.18/0.42  % --prep_upred                          true
% 0.18/0.42  % --res_sim_input                       true
% 0.18/0.42  % --clause_weak_htbl                    true
% 0.18/0.42  % --gc_record_bc_elim                   false
% 0.18/0.42  % --symbol_type_check                   false
% 0.18/0.42  % --clausify_out                        false
% 0.18/0.42  % --large_theory_mode                   false
% 0.18/0.42  % --prep_sem_filter                     none
% 0.18/0.42  % --prep_sem_filter_out                 false
% 0.18/0.42  % --preprocessed_out                    false
% 0.18/0.42  % --sub_typing                          false
% 0.18/0.42  % --brand_transform                     false
% 0.18/0.42  % --pure_diseq_elim                     true
% 0.18/0.42  % --min_unsat_core                      false
% 0.18/0.42  % --pred_elim                           true
% 0.18/0.42  % --add_important_lit                   false
% 0.18/0.42  % --soft_assumptions                    false
% 0.18/0.42  % --reset_solvers                       false
% 0.18/0.42  % --bc_imp_inh                          []
% 0.18/0.42  % --conj_cone_tolerance                 1.5
% 0.18/0.42  % --prolific_symb_bound                 500
% 0.18/0.42  % --lt_threshold                        2000
% 0.18/0.42  
% 0.18/0.42  % ------ SAT Options
% 0.18/0.42  
% 0.18/0.42  % --sat_mode                            false
% 0.18/0.42  % --sat_fm_restart_options              ""
% 0.18/0.42  % --sat_gr_def                          false
% 0.18/0.42  % --sat_epr_types                       true
% 0.18/0.42  % --sat_non_cyclic_types                false
% 0.18/0.42  % --sat_finite_models                   false
% 0.18/0.42  % --sat_fm_lemmas                       false
% 0.18/0.42  % --sat_fm_prep                         false
% 0.18/0.42  % --sat_fm_uc_incr                      true
% 0.18/0.42  % --sat_out_model                       small
% 0.18/0.42  % --sat_out_clauses                     false
% 0.18/0.42  
% 0.18/0.42  % ------ QBF Options
% 0.18/0.42  
% 0.18/0.42  % --qbf_mode                            false
% 0.18/0.42  % --qbf_elim_univ                       true
% 0.18/0.42  % --qbf_sk_in                           true
% 0.18/0.42  % --qbf_pred_elim                       true
% 0.18/0.42  % --qbf_split                           32
% 0.18/0.42  
% 0.18/0.42  % ------ BMC1 Options
% 0.18/0.42  
% 0.18/0.42  % --bmc1_incremental                    false
% 0.18/0.42  % --bmc1_axioms                         reachable_all
% 0.18/0.42  % --bmc1_min_bound                      0
% 0.18/0.42  % --bmc1_max_bound                      -1
% 0.18/0.42  % --bmc1_max_bound_default              -1
% 0.18/0.42  % --bmc1_symbol_reachability            true
% 0.18/0.42  % --bmc1_property_lemmas                false
% 0.18/0.42  % --bmc1_k_induction                    false
% 0.18/0.42  % --bmc1_non_equiv_states               false
% 0.18/0.42  % --bmc1_deadlock                       false
% 0.18/0.42  % --bmc1_ucm                            false
% 0.18/0.42  % --bmc1_add_unsat_core                 none
% 0.18/0.42  % --bmc1_unsat_core_children            false
% 0.18/0.42  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.18/0.42  % --bmc1_out_stat                       full
% 0.18/0.42  % --bmc1_ground_init                    false
% 0.18/0.42  % --bmc1_pre_inst_next_state            false
% 0.18/0.42  % --bmc1_pre_inst_state                 false
% 0.18/0.42  % --bmc1_pre_inst_reach_state           false
% 0.18/0.42  % --bmc1_out_unsat_core                 false
% 0.18/0.42  % --bmc1_aig_witness_out                false
% 0.18/0.42  % --bmc1_verbose                        false
% 0.18/0.42  % --bmc1_dump_clauses_tptp              false
% 0.18/0.42  % --bmc1_dump_unsat_core_tptp           false
% 0.18/0.42  % --bmc1_dump_file                      -
% 0.18/0.42  % --bmc1_ucm_expand_uc_limit            128
% 0.18/0.42  % --bmc1_ucm_n_expand_iterations        6
% 0.18/0.42  % --bmc1_ucm_extend_mode                1
% 0.18/0.42  % --bmc1_ucm_init_mode                  2
% 0.18/0.42  % --bmc1_ucm_cone_mode                  none
% 0.18/0.42  % --bmc1_ucm_reduced_relation_type      0
% 0.18/0.42  % --bmc1_ucm_relax_model                4
% 0.18/0.42  % --bmc1_ucm_full_tr_after_sat          true
% 0.18/0.42  % --bmc1_ucm_expand_neg_assumptions     false
% 0.18/0.42  % --bmc1_ucm_layered_model              none
% 0.18/0.42  % --bmc1_ucm_max_lemma_size             10
% 0.18/0.42  
% 0.18/0.42  % ------ AIG Options
% 0.18/0.42  
% 0.18/0.42  % --aig_mode                            false
% 0.18/0.42  
% 0.18/0.42  % ------ Instantiation Options
% 0.18/0.42  
% 0.18/0.42  % --instantiation_flag                  true
% 0.18/0.42  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.18/0.42  % --inst_solver_per_active              750
% 0.18/0.42  % --inst_solver_calls_frac              0.5
% 0.18/0.42  % --inst_passive_queue_type             priority_queues
% 0.18/0.42  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.18/0.42  % --inst_passive_queues_freq            [25;2]
% 0.18/0.42  % --inst_dismatching                    true
% 0.18/0.42  % --inst_eager_unprocessed_to_passive   true
% 0.18/0.42  % --inst_prop_sim_given                 true
% 131.19/131.40  % --inst_prop_sim_new                   false
% 131.19/131.40  % --inst_orphan_elimination             true
% 131.19/131.40  % --inst_learning_loop_flag             true
% 131.19/131.40  % --inst_learning_start                 3000
% 131.19/131.40  % --inst_learning_factor                2
% 131.19/131.40  % --inst_start_prop_sim_after_learn     3
% 131.19/131.40  % --inst_sel_renew                      solver
% 131.19/131.40  % --inst_lit_activity_flag              true
% 131.19/131.40  % --inst_out_proof                      true
% 131.19/131.40  
% 131.19/131.40  % ------ Resolution Options
% 131.19/131.40  
% 131.19/131.40  % --resolution_flag                     true
% 131.19/131.40  % --res_lit_sel                         kbo_max
% 131.19/131.40  % --res_to_prop_solver                  none
% 131.19/131.40  % --res_prop_simpl_new                  false
% 131.19/131.40  % --res_prop_simpl_given                false
% 131.19/131.40  % --res_passive_queue_type              priority_queues
% 131.19/131.40  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 131.19/131.40  % --res_passive_queues_freq             [15;5]
% 131.19/131.40  % --res_forward_subs                    full
% 131.19/131.40  % --res_backward_subs                   full
% 131.19/131.40  % --res_forward_subs_resolution         true
% 131.19/131.40  % --res_backward_subs_resolution        true
% 131.19/131.40  % --res_orphan_elimination              false
% 131.19/131.40  % --res_time_limit                      1000.
% 131.19/131.40  % --res_out_proof                       true
% 131.19/131.40  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_404053.s
% 131.19/131.40  % --modulo                              true
% 131.19/131.40  
% 131.19/131.40  % ------ Combination Options
% 131.19/131.40  
% 131.19/131.40  % --comb_res_mult                       1000
% 131.19/131.40  % --comb_inst_mult                      300
% 131.19/131.40  % ------ 
% 131.19/131.40  
% 131.19/131.40  
% 131.19/131.40  
% 131.19/131.40  % ------ Proving...
% 131.19/131.40  % 
% 131.19/131.40  
% 131.19/131.40  
% 131.19/131.40  % ------                             Statistics
% 131.19/131.40  
% 131.19/131.40  % ------ General
% 131.19/131.40  
% 131.19/131.40  % num_of_input_clauses:                 29
% 131.19/131.40  % num_of_input_neg_conjectures:         27
% 131.19/131.40  % num_of_splits:                        16
% 131.19/131.40  % num_of_split_atoms:                   3
% 131.19/131.40  % num_of_sem_filtered_clauses:          0
% 131.19/131.40  % num_of_subtypes:                      0
% 131.19/131.40  % monotx_restored_types:                0
% 131.19/131.40  % sat_num_of_epr_types:                 0
% 131.19/131.40  % sat_num_of_non_cyclic_types:          0
% 131.19/131.40  % sat_guarded_non_collapsed_types:      0
% 131.19/131.40  % is_epr:                               0
% 131.19/131.40  % is_horn:                              0
% 131.19/131.40  % has_eq:                               0
% 131.19/131.40  % num_pure_diseq_elim:                  0
% 131.19/131.40  % simp_replaced_by:                     0
% 131.19/131.40  % res_preprocessed:                     70
% 131.19/131.40  % prep_upred:                           0
% 131.19/131.40  % prep_unflattend:                      0
% 131.19/131.40  % pred_elim_cands:                      3
% 131.19/131.40  % pred_elim:                            0
% 131.19/131.40  % pred_elim_cl:                         0
% 131.19/131.40  % pred_elim_cycles:                     3
% 131.19/131.40  % forced_gc_time:                       0
% 131.19/131.40  % gc_basic_clause_elim:                 0
% 131.19/131.40  % parsing_time:                         0.001
% 131.19/131.40  % sem_filter_time:                      0.
% 131.19/131.40  % pred_elim_time:                       0.001
% 131.19/131.40  % out_proof_time:                       0.006
% 131.19/131.40  % monotx_time:                          0.
% 131.19/131.40  % subtype_inf_time:                     0.
% 131.19/131.40  % unif_index_cands_time:                0.191
% 131.19/131.40  % unif_index_add_time:                  0.027
% 131.19/131.40  % total_time:                           130.997
% 131.19/131.40  % num_of_symbols:                       46
% 131.19/131.40  % num_of_terms:                         181260
% 131.19/131.40  
% 131.19/131.40  % ------ Propositional Solver
% 131.19/131.40  
% 131.19/131.40  % prop_solver_calls:                    30
% 131.19/131.40  % prop_fast_solver_calls:               397
% 131.19/131.40  % prop_num_of_clauses:                  22556
% 131.19/131.40  % prop_preprocess_simplified:           27652
% 131.19/131.40  % prop_fo_subsumed:                     0
% 131.19/131.40  % prop_solver_time:                     0.011
% 131.19/131.40  % prop_fast_solver_time:                0.
% 131.19/131.40  % prop_unsat_core_time:                 0.002
% 131.19/131.40  
% 131.19/131.40  % ------ QBF 
% 131.19/131.40  
% 131.19/131.40  % qbf_q_res:                            0
% 131.19/131.40  % qbf_num_tautologies:                  0
% 131.19/131.40  % qbf_prep_cycles:                      0
% 131.19/131.40  
% 131.19/131.40  % ------ BMC1
% 131.19/131.40  
% 131.19/131.40  % bmc1_current_bound:                   -1
% 131.19/131.40  % bmc1_last_solved_bound:               -1
% 131.19/131.40  % bmc1_unsat_core_size:                 -1
% 131.19/131.40  % bmc1_unsat_core_parents_size:         -1
% 131.19/131.40  % bmc1_merge_next_fun:                  0
% 131.19/131.40  % bmc1_unsat_core_clauses_time:         0.
% 131.19/131.40  
% 131.19/131.40  % ------ Instantiation
% 131.19/131.40  
% 131.19/131.40  % inst_num_of_clauses:                  1887
% 131.19/131.40  % inst_num_in_passive:                  929
% 131.19/131.40  % inst_num_in_active:                   595
% 131.19/131.40  % inst_num_in_unprocessed:              341
% 131.19/131.40  % inst_num_of_loops:                    656
% 131.19/131.41  % inst_num_of_learning_restarts:        1
% 131.19/131.41  % inst_num_moves_active_passive:        38
% 131.19/131.41  % inst_lit_activity:                    408
% 131.19/131.41  % inst_lit_activity_moves:              0
% 131.19/131.41  % inst_num_tautologies:                 20
% 131.19/131.41  % inst_num_prop_implied:                0
% 131.19/131.41  % inst_num_existing_simplified:         0
% 131.19/131.41  % inst_num_eq_res_simplified:           0
% 131.19/131.41  % inst_num_child_elim:                  0
% 131.19/131.41  % inst_num_of_dismatching_blockings:    838
% 131.19/131.41  % inst_num_of_non_proper_insts:         2073
% 131.19/131.41  % inst_num_of_duplicates:               773
% 131.19/131.41  % inst_inst_num_from_inst_to_res:       0
% 131.19/131.41  % inst_dismatching_checking_time:       0.127
% 131.19/131.41  
% 131.19/131.41  % ------ Resolution
% 131.19/131.41  
% 131.19/131.41  % res_num_of_clauses:                   1257346
% 131.19/131.41  % res_num_in_passive:                   1256395
% 131.19/131.41  % res_num_in_active:                    6299
% 131.19/131.41  % res_num_of_loops:                     13000
% 131.19/131.41  % res_forward_subset_subsumed:          133920
% 131.19/131.41  % res_backward_subset_subsumed:         5762
% 131.19/131.41  % res_forward_subsumed:                 5497
% 131.19/131.41  % res_backward_subsumed:                936
% 131.19/131.41  % res_forward_subsumption_resolution:   1834
% 131.19/131.41  % res_backward_subsumption_resolution:  45
% 131.19/131.41  % res_clause_to_clause_subsumption:     932413
% 131.19/131.41  % res_orphan_elimination:               0
% 131.19/131.41  % res_tautology_del:                    31421
% 131.19/131.41  % res_num_eq_res_simplified:            0
% 131.19/131.41  % res_num_sel_changes:                  0
% 131.19/131.41  % res_moves_from_active_to_pass:        0
% 131.19/131.41  
% 131.19/131.41  % Status Unsatisfiable
% 131.19/131.41  % SZS status Theorem
% 131.19/131.41  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------