TSTP Solution File: SYN353+1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SYN353+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n004.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 : Thu Jul 21 07:27:02 EDT 2022

% Result   : Theorem 0.19s 0.45s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   68
%            Number of leaves      :   12
% Syntax   : Number of formulae    :  170 (  15 unt;   0 def)
%            Number of atoms       :  530 (   0 equ)
%            Maximal formula atoms :   47 (   3 avg)
%            Number of connectives :  582 ( 222   ~; 308   |;  24   &)
%                                         (   8 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-3 aty)
%            Number of variables   :  427 (  18 sgn   7   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
% Start CNF derivation
% End CNF derivation
% 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,conjecture,
    ! [X1] :
    ? [X2,X3,X4] :
    ! [X5] :
      ( ( big_f(X2,X3,X4)
       => ( big_f(X1,X1,X5)
         => ( big_f(X3,X4,X2)
            | big_f(X4,X2,X3) ) ) )
     => ( ( ( big_f(X4,X2,X3)
           => ( big_f(X2,X3,X4)
              & big_f(X3,X4,X2) ) )
        <=> big_f(X3,X2,X5) )
       => ( ( ( big_f(X3,X4,X2)
             => ( big_f(X2,X3,X4)
                & big_f(X4,X2,X3) ) )
          <=> big_f(X2,X5,X3) )
         => ( ( ( ( big_f(X4,X2,X3)
                 => ~ big_f(X3,X4,X2) )
               => big_f(X2,X3,X4) )
            <=> big_f(X5,X3,X2) )
           => ( ( big_f(X2,X3,X4)
                & big_f(X3,X4,X2)
                & big_f(X4,X2,X3) )
            <=> big_f(X5,X5,X5) ) ) ) ) ),
    file('<stdin>',church_46_18_5) ).

fof(c_0_1,negated_conjecture,
    ~ ! [X1] :
      ? [X2,X3,X4] :
      ! [X5] :
        ( ( big_f(X2,X3,X4)
         => ( big_f(X1,X1,X5)
           => ( big_f(X3,X4,X2)
              | big_f(X4,X2,X3) ) ) )
       => ( ( ( big_f(X4,X2,X3)
             => ( big_f(X2,X3,X4)
                & big_f(X3,X4,X2) ) )
          <=> big_f(X3,X2,X5) )
         => ( ( ( big_f(X3,X4,X2)
               => ( big_f(X2,X3,X4)
                  & big_f(X4,X2,X3) ) )
            <=> big_f(X2,X5,X3) )
           => ( ( ( ( big_f(X4,X2,X3)
                   => ~ big_f(X3,X4,X2) )
                 => big_f(X2,X3,X4) )
              <=> big_f(X5,X3,X2) )
             => ( ( big_f(X2,X3,X4)
                  & big_f(X3,X4,X2)
                  & big_f(X4,X2,X3) )
              <=> big_f(X5,X5,X5) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).

fof(c_0_2,negated_conjecture,
    ! [X7,X8,X9] :
      ( ( ~ big_f(X7,X8,X9)
        | ~ big_f(esk1_0,esk1_0,esk2_3(X7,X8,X9))
        | big_f(X8,X9,X7)
        | big_f(X9,X7,X8) )
      & ( big_f(X9,X7,X8)
        | big_f(X8,X7,esk2_3(X7,X8,X9)) )
      & ( ~ big_f(X7,X8,X9)
        | ~ big_f(X8,X9,X7)
        | big_f(X8,X7,esk2_3(X7,X8,X9)) )
      & ( big_f(X7,X8,X9)
        | ~ big_f(X9,X7,X8)
        | ~ big_f(X8,X7,esk2_3(X7,X8,X9)) )
      & ( big_f(X8,X9,X7)
        | ~ big_f(X9,X7,X8)
        | ~ big_f(X8,X7,esk2_3(X7,X8,X9)) )
      & ( big_f(X8,X9,X7)
        | big_f(X7,esk2_3(X7,X8,X9),X8) )
      & ( ~ big_f(X7,X8,X9)
        | ~ big_f(X9,X7,X8)
        | big_f(X7,esk2_3(X7,X8,X9),X8) )
      & ( big_f(X7,X8,X9)
        | ~ big_f(X8,X9,X7)
        | ~ big_f(X7,esk2_3(X7,X8,X9),X8) )
      & ( big_f(X9,X7,X8)
        | ~ big_f(X8,X9,X7)
        | ~ big_f(X7,esk2_3(X7,X8,X9),X8) )
      & ( ~ big_f(X9,X7,X8)
        | ~ big_f(X8,X9,X7)
        | big_f(esk2_3(X7,X8,X9),X8,X7) )
      & ( ~ big_f(X7,X8,X9)
        | big_f(esk2_3(X7,X8,X9),X8,X7) )
      & ( big_f(X9,X7,X8)
        | big_f(X7,X8,X9)
        | ~ big_f(esk2_3(X7,X8,X9),X8,X7) )
      & ( big_f(X8,X9,X7)
        | big_f(X7,X8,X9)
        | ~ big_f(esk2_3(X7,X8,X9),X8,X7) )
      & ( ~ big_f(X7,X8,X9)
        | ~ big_f(X8,X9,X7)
        | ~ big_f(X9,X7,X8)
        | ~ big_f(esk2_3(X7,X8,X9),esk2_3(X7,X8,X9),esk2_3(X7,X8,X9)) )
      & ( big_f(X7,X8,X9)
        | big_f(esk2_3(X7,X8,X9),esk2_3(X7,X8,X9),esk2_3(X7,X8,X9)) )
      & ( big_f(X8,X9,X7)
        | big_f(esk2_3(X7,X8,X9),esk2_3(X7,X8,X9),esk2_3(X7,X8,X9)) )
      & ( big_f(X9,X7,X8)
        | big_f(esk2_3(X7,X8,X9),esk2_3(X7,X8,X9),esk2_3(X7,X8,X9)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( ~ big_f(esk2_3(X1,X2,X3),esk2_3(X1,X2,X3),esk2_3(X1,X2,X3))
    | ~ big_f(X3,X1,X2)
    | ~ big_f(X2,X3,X1)
    | ~ big_f(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( big_f(X1,X2,X3)
    | big_f(X3,X1,X2)
    | ~ big_f(esk1_0,esk1_0,esk2_3(X2,X3,X1))
    | ~ big_f(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( big_f(esk2_3(X1,X2,X3),esk2_3(X1,X2,X3),esk2_3(X1,X2,X3))
    | big_f(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    ( big_f(esk2_3(X1,X2,X3),esk2_3(X1,X2,X3),esk2_3(X1,X2,X3))
    | big_f(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    ( big_f(esk2_3(X1,X2,X3),esk2_3(X1,X2,X3),esk2_3(X1,X2,X3))
    | big_f(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8,negated_conjecture,
    ( big_f(X2,X1,X3)
    | ~ big_f(X1,X2,esk2_3(X2,X1,X3))
    | ~ big_f(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9,negated_conjecture,
    ( big_f(X1,X3,X2)
    | ~ big_f(X1,X2,esk2_3(X2,X1,X3))
    | ~ big_f(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,negated_conjecture,
    ( big_f(X1,X2,X3)
    | ~ big_f(X1,esk2_3(X1,X2,X3),X2)
    | ~ big_f(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11,negated_conjecture,
    ( big_f(X3,X1,X2)
    | ~ big_f(X1,esk2_3(X1,X2,X3),X2)
    | ~ big_f(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12,negated_conjecture,
    ( big_f(X1,X2,X3)
    | big_f(X3,X1,X2)
    | ~ big_f(esk2_3(X1,X2,X3),X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13,negated_conjecture,
    ( big_f(X1,X2,X3)
    | big_f(X2,X3,X1)
    | ~ big_f(esk2_3(X1,X2,X3),X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_14,negated_conjecture,
    ( big_f(X1,X2,esk2_3(X2,X1,X3))
    | ~ big_f(X1,X3,X2)
    | ~ big_f(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_15,negated_conjecture,
    ( big_f(X1,esk2_3(X1,X2,X3),X2)
    | ~ big_f(X3,X1,X2)
    | ~ big_f(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_16,negated_conjecture,
    ( big_f(esk2_3(X1,X2,X3),X2,X1)
    | ~ big_f(X2,X3,X1)
    | ~ big_f(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_17,negated_conjecture,
    ( big_f(esk2_3(X1,X2,X3),X2,X1)
    | ~ big_f(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_18,negated_conjecture,
    ( big_f(X1,X2,esk2_3(X2,X1,X3))
    | big_f(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_19,negated_conjecture,
    ( big_f(X1,esk2_3(X1,X2,X3),X2)
    | big_f(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ big_f(esk2_3(X1,X2,X3),esk2_3(X1,X2,X3),esk2_3(X1,X2,X3))
    | ~ big_f(X3,X1,X2)
    | ~ big_f(X2,X3,X1)
    | ~ big_f(X1,X2,X3) ),
    c_0_3,
    [final] ).

cnf(c_0_21,negated_conjecture,
    ( big_f(X1,X2,X3)
    | big_f(X3,X1,X2)
    | ~ big_f(esk1_0,esk1_0,esk2_3(X2,X3,X1))
    | ~ big_f(X2,X3,X1) ),
    c_0_4,
    [final] ).

cnf(c_0_22,negated_conjecture,
    ( big_f(esk2_3(X1,X2,X3),esk2_3(X1,X2,X3),esk2_3(X1,X2,X3))
    | big_f(X1,X2,X3) ),
    c_0_5,
    [final] ).

cnf(c_0_23,negated_conjecture,
    ( big_f(esk2_3(X1,X2,X3),esk2_3(X1,X2,X3),esk2_3(X1,X2,X3))
    | big_f(X2,X3,X1) ),
    c_0_6,
    [final] ).

cnf(c_0_24,negated_conjecture,
    ( big_f(esk2_3(X1,X2,X3),esk2_3(X1,X2,X3),esk2_3(X1,X2,X3))
    | big_f(X3,X1,X2) ),
    c_0_7,
    [final] ).

cnf(c_0_25,negated_conjecture,
    ( big_f(X2,X1,X3)
    | ~ big_f(X1,X2,esk2_3(X2,X1,X3))
    | ~ big_f(X3,X2,X1) ),
    c_0_8,
    [final] ).

cnf(c_0_26,negated_conjecture,
    ( big_f(X1,X3,X2)
    | ~ big_f(X1,X2,esk2_3(X2,X1,X3))
    | ~ big_f(X3,X2,X1) ),
    c_0_9,
    [final] ).

cnf(c_0_27,negated_conjecture,
    ( big_f(X1,X2,X3)
    | ~ big_f(X1,esk2_3(X1,X2,X3),X2)
    | ~ big_f(X2,X3,X1) ),
    c_0_10,
    [final] ).

cnf(c_0_28,negated_conjecture,
    ( big_f(X3,X1,X2)
    | ~ big_f(X1,esk2_3(X1,X2,X3),X2)
    | ~ big_f(X2,X3,X1) ),
    c_0_11,
    [final] ).

cnf(c_0_29,negated_conjecture,
    ( big_f(X1,X2,X3)
    | big_f(X3,X1,X2)
    | ~ big_f(esk2_3(X1,X2,X3),X2,X1) ),
    c_0_12,
    [final] ).

cnf(c_0_30,negated_conjecture,
    ( big_f(X1,X2,X3)
    | big_f(X2,X3,X1)
    | ~ big_f(esk2_3(X1,X2,X3),X2,X1) ),
    c_0_13,
    [final] ).

cnf(c_0_31,negated_conjecture,
    ( big_f(X1,X2,esk2_3(X2,X1,X3))
    | ~ big_f(X1,X3,X2)
    | ~ big_f(X2,X1,X3) ),
    c_0_14,
    [final] ).

cnf(c_0_32,negated_conjecture,
    ( big_f(X1,esk2_3(X1,X2,X3),X2)
    | ~ big_f(X3,X1,X2)
    | ~ big_f(X1,X2,X3) ),
    c_0_15,
    [final] ).

cnf(c_0_33,negated_conjecture,
    ( big_f(esk2_3(X1,X2,X3),X2,X1)
    | ~ big_f(X2,X3,X1)
    | ~ big_f(X3,X1,X2) ),
    c_0_16,
    [final] ).

cnf(c_0_34,negated_conjecture,
    ( big_f(esk2_3(X1,X2,X3),X2,X1)
    | ~ big_f(X1,X2,X3) ),
    c_0_17,
    [final] ).

cnf(c_0_35,negated_conjecture,
    ( big_f(X1,X2,esk2_3(X2,X1,X3))
    | big_f(X3,X2,X1) ),
    c_0_18,
    [final] ).

cnf(c_0_36,negated_conjecture,
    ( big_f(X1,esk2_3(X1,X2,X3),X2)
    | big_f(X2,X3,X1) ),
    c_0_19,
    [final] ).

% End CNF derivation

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

cnf(c_1,negated_conjecture,
    ( ~ big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(X0,X1,X2))
    | ~ big_f(X0,X1,X2)
    | big_f(X1,X2,X0)
    | big_f(X2,X0,X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d8593c.p',c_0_21) ).

cnf(c_27,negated_conjecture,
    ( ~ big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(X0,X1,X2))
    | ~ big_f(X0,X1,X2)
    | big_f(X1,X2,X0)
    | big_f(X2,X0,X1) ),
    inference(copy,[status(esa)],[c_1]) ).

cnf(c_94,negated_conjecture,
    ( ~ big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(X0,X1,X2))
    | ~ big_f(X0,X1,X2)
    | big_f(X1,X2,X0)
    | big_f(X2,X0,X1) ),
    inference(copy,[status(esa)],[c_27]) ).

cnf(c_125,negated_conjecture,
    ( ~ big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(X0,X1,X2))
    | ~ big_f(X0,X1,X2)
    | big_f(X1,X2,X0)
    | big_f(X2,X0,X1) ),
    inference(copy,[status(esa)],[c_94]) ).

cnf(c_128,negated_conjecture,
    ( ~ big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(X0,X1,X2))
    | ~ big_f(X0,X1,X2)
    | big_f(X1,X2,X0)
    | big_f(X2,X0,X1) ),
    inference(copy,[status(esa)],[c_125]) ).

cnf(c_163,negated_conjecture,
    ( ~ big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(X0,X1,X2))
    | ~ big_f(X0,X1,X2)
    | big_f(X1,X2,X0)
    | big_f(X2,X0,X1) ),
    inference(copy,[status(esa)],[c_128]) ).

cnf(c_15,negated_conjecture,
    ( big_f(X0,X1,sk3_esk2_3(X1,X0,X2))
    | big_f(X2,X1,X0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d8593c.p',c_0_35) ).

cnf(c_55,negated_conjecture,
    ( big_f(X0,X1,sk3_esk2_3(X1,X0,X2))
    | big_f(X2,X1,X0) ),
    inference(copy,[status(esa)],[c_15]) ).

cnf(c_108,negated_conjecture,
    ( big_f(X0,X1,sk3_esk2_3(X1,X0,X2))
    | big_f(X2,X1,X0) ),
    inference(copy,[status(esa)],[c_55]) ).

cnf(c_111,negated_conjecture,
    ( big_f(X0,X1,sk3_esk2_3(X1,X0,X2))
    | big_f(X2,X1,X0) ),
    inference(copy,[status(esa)],[c_108]) ).

cnf(c_142,negated_conjecture,
    ( big_f(X0,X1,sk3_esk2_3(X1,X0,X2))
    | big_f(X2,X1,X0) ),
    inference(copy,[status(esa)],[c_111]) ).

cnf(c_191,plain,
    ( big_f(X0,X1,sk3_esk2_3(X1,X0,X2))
    | big_f(X2,X1,X0) ),
    inference(copy,[status(esa)],[c_142]) ).

cnf(c_306,plain,
    ( ~ big_f(sk3_esk1_0,sk3_esk1_0,X0)
    | big_f(sk3_esk1_0,X0,sk3_esk1_0)
    | big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_163,c_191]) ).

cnf(c_307,plain,
    ( ~ big_f(sk3_esk1_0,sk3_esk1_0,X0)
    | big_f(sk3_esk1_0,X0,sk3_esk1_0)
    | big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_306]) ).

cnf(c_330,plain,
    ( big_f(sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0),sk3_esk1_0,sk3_esk1_0)
    | big_f(sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0),sk3_esk1_0)
    | big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_307,c_191]) ).

cnf(c_331,plain,
    ( big_f(sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0),sk3_esk1_0,sk3_esk1_0)
    | big_f(sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0),sk3_esk1_0)
    | big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_330]) ).

cnf(c_9,negated_conjecture,
    ( ~ big_f(sk3_esk2_3(X0,X1,X2),X1,X0)
    | big_f(X2,X0,X1)
    | big_f(X0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d8593c.p',c_0_29) ).

cnf(c_43,negated_conjecture,
    ( ~ big_f(sk3_esk2_3(X0,X1,X2),X1,X0)
    | big_f(X2,X0,X1)
    | big_f(X0,X1,X2) ),
    inference(copy,[status(esa)],[c_9]) ).

cnf(c_102,negated_conjecture,
    ( ~ big_f(sk3_esk2_3(X0,X1,X2),X1,X0)
    | big_f(X2,X0,X1)
    | big_f(X0,X1,X2) ),
    inference(copy,[status(esa)],[c_43]) ).

cnf(c_117,negated_conjecture,
    ( ~ big_f(sk3_esk2_3(X0,X1,X2),X1,X0)
    | big_f(X2,X0,X1)
    | big_f(X0,X1,X2) ),
    inference(copy,[status(esa)],[c_102]) ).

cnf(c_136,negated_conjecture,
    ( ~ big_f(sk3_esk2_3(X0,X1,X2),X1,X0)
    | big_f(X2,X0,X1)
    | big_f(X0,X1,X2) ),
    inference(copy,[status(esa)],[c_117]) ).

cnf(c_179,negated_conjecture,
    ( ~ big_f(sk3_esk2_3(X0,X1,X2),X1,X0)
    | big_f(X2,X0,X1)
    | big_f(X0,X1,X2) ),
    inference(copy,[status(esa)],[c_136]) ).

cnf(c_340,plain,
    ( big_f(sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0),sk3_esk1_0)
    | big_f(sk3_esk1_0,sk3_esk1_0,X0)
    | big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_331,c_179]) ).

cnf(c_341,plain,
    ( big_f(sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0),sk3_esk1_0)
    | big_f(sk3_esk1_0,sk3_esk1_0,X0)
    | big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_340]) ).

cnf(c_7,negated_conjecture,
    ( ~ big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | ~ big_f(X1,X2,X0)
    | big_f(X0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d8593c.p',c_0_27) ).

cnf(c_39,negated_conjecture,
    ( ~ big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | ~ big_f(X1,X2,X0)
    | big_f(X0,X1,X2) ),
    inference(copy,[status(esa)],[c_7]) ).

cnf(c_100,negated_conjecture,
    ( ~ big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | ~ big_f(X1,X2,X0)
    | big_f(X0,X1,X2) ),
    inference(copy,[status(esa)],[c_39]) ).

cnf(c_119,negated_conjecture,
    ( ~ big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | ~ big_f(X1,X2,X0)
    | big_f(X0,X1,X2) ),
    inference(copy,[status(esa)],[c_100]) ).

cnf(c_134,negated_conjecture,
    ( ~ big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | ~ big_f(X1,X2,X0)
    | big_f(X0,X1,X2) ),
    inference(copy,[status(esa)],[c_119]) ).

cnf(c_175,negated_conjecture,
    ( ~ big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | ~ big_f(X1,X2,X0)
    | big_f(X0,X1,X2) ),
    inference(copy,[status(esa)],[c_134]) ).

cnf(c_350,plain,
    ( big_f(sk3_esk1_0,sk3_esk1_0,X0)
    | ~ big_f(sk3_esk1_0,X0,sk3_esk1_0)
    | big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_341,c_175]) ).

cnf(c_351,plain,
    ( big_f(sk3_esk1_0,sk3_esk1_0,X0)
    | ~ big_f(sk3_esk1_0,X0,sk3_esk1_0)
    | big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_350]) ).

cnf(c_16,negated_conjecture,
    ( big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | big_f(X1,X2,X0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d8593c.p',c_0_36) ).

cnf(c_57,negated_conjecture,
    ( big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | big_f(X1,X2,X0) ),
    inference(copy,[status(esa)],[c_16]) ).

cnf(c_109,negated_conjecture,
    ( big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | big_f(X1,X2,X0) ),
    inference(copy,[status(esa)],[c_57]) ).

cnf(c_110,negated_conjecture,
    ( big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | big_f(X1,X2,X0) ),
    inference(copy,[status(esa)],[c_109]) ).

cnf(c_143,negated_conjecture,
    ( big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | big_f(X1,X2,X0) ),
    inference(copy,[status(esa)],[c_110]) ).

cnf(c_193,plain,
    ( big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | big_f(X1,X2,X0) ),
    inference(copy,[status(esa)],[c_143]) ).

cnf(c_360,plain,
    ( big_f(sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0),sk3_esk1_0,sk3_esk1_0)
    | big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0))
    | big_f(sk3_esk1_0,X0,sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_351,c_193]) ).

cnf(c_361,plain,
    ( big_f(sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0),sk3_esk1_0,sk3_esk1_0)
    | big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0))
    | big_f(sk3_esk1_0,X0,sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_360]) ).

cnf(c_10,negated_conjecture,
    ( ~ big_f(sk3_esk2_3(X0,X1,X2),X1,X0)
    | big_f(X1,X2,X0)
    | big_f(X0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d8593c.p',c_0_30) ).

cnf(c_45,negated_conjecture,
    ( ~ big_f(sk3_esk2_3(X0,X1,X2),X1,X0)
    | big_f(X1,X2,X0)
    | big_f(X0,X1,X2) ),
    inference(copy,[status(esa)],[c_10]) ).

cnf(c_103,negated_conjecture,
    ( ~ big_f(sk3_esk2_3(X0,X1,X2),X1,X0)
    | big_f(X1,X2,X0)
    | big_f(X0,X1,X2) ),
    inference(copy,[status(esa)],[c_45]) ).

cnf(c_116,negated_conjecture,
    ( ~ big_f(sk3_esk2_3(X0,X1,X2),X1,X0)
    | big_f(X1,X2,X0)
    | big_f(X0,X1,X2) ),
    inference(copy,[status(esa)],[c_103]) ).

cnf(c_137,negated_conjecture,
    ( ~ big_f(sk3_esk2_3(X0,X1,X2),X1,X0)
    | big_f(X1,X2,X0)
    | big_f(X0,X1,X2) ),
    inference(copy,[status(esa)],[c_116]) ).

cnf(c_181,negated_conjecture,
    ( ~ big_f(sk3_esk2_3(X0,X1,X2),X1,X0)
    | big_f(X1,X2,X0)
    | big_f(X0,X1,X2) ),
    inference(copy,[status(esa)],[c_137]) ).

cnf(c_371,plain,
    ( big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0))
    | big_f(sk3_esk1_0,sk3_esk1_0,X0)
    | big_f(sk3_esk1_0,X0,sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_361,c_181]) ).

cnf(c_374,plain,
    ( big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0))
    | big_f(sk3_esk1_0,sk3_esk1_0,X0)
    | big_f(sk3_esk1_0,X0,sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_371]) ).

cnf(c_5,negated_conjecture,
    ( ~ big_f(X0,X1,sk3_esk2_3(X1,X0,X2))
    | ~ big_f(X2,X1,X0)
    | big_f(X1,X0,X2) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d8593c.p',c_0_25) ).

cnf(c_35,negated_conjecture,
    ( ~ big_f(X0,X1,sk3_esk2_3(X1,X0,X2))
    | ~ big_f(X2,X1,X0)
    | big_f(X1,X0,X2) ),
    inference(copy,[status(esa)],[c_5]) ).

cnf(c_98,negated_conjecture,
    ( ~ big_f(X0,X1,sk3_esk2_3(X1,X0,X2))
    | ~ big_f(X2,X1,X0)
    | big_f(X1,X0,X2) ),
    inference(copy,[status(esa)],[c_35]) ).

cnf(c_121,negated_conjecture,
    ( ~ big_f(X0,X1,sk3_esk2_3(X1,X0,X2))
    | ~ big_f(X2,X1,X0)
    | big_f(X1,X0,X2) ),
    inference(copy,[status(esa)],[c_98]) ).

cnf(c_132,negated_conjecture,
    ( ~ big_f(X0,X1,sk3_esk2_3(X1,X0,X2))
    | ~ big_f(X2,X1,X0)
    | big_f(X1,X0,X2) ),
    inference(copy,[status(esa)],[c_121]) ).

cnf(c_171,negated_conjecture,
    ( ~ big_f(X0,X1,sk3_esk2_3(X1,X0,X2))
    | ~ big_f(X2,X1,X0)
    | big_f(X1,X0,X2) ),
    inference(copy,[status(esa)],[c_132]) ).

cnf(c_384,plain,
    ( big_f(sk3_esk1_0,sk3_esk1_0,X0)
    | big_f(sk3_esk1_0,X0,sk3_esk1_0)
    | ~ big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_374,c_171]) ).

cnf(c_385,plain,
    ( big_f(sk3_esk1_0,sk3_esk1_0,X0)
    | big_f(sk3_esk1_0,X0,sk3_esk1_0)
    | ~ big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_384]) ).

cnf(c_13,negated_conjecture,
    ( big_f(sk3_esk2_3(X0,X1,X2),X1,X0)
    | ~ big_f(X2,X0,X1)
    | ~ big_f(X1,X2,X0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d8593c.p',c_0_33) ).

cnf(c_51,negated_conjecture,
    ( big_f(sk3_esk2_3(X0,X1,X2),X1,X0)
    | ~ big_f(X2,X0,X1)
    | ~ big_f(X1,X2,X0) ),
    inference(copy,[status(esa)],[c_13]) ).

cnf(c_106,negated_conjecture,
    ( big_f(sk3_esk2_3(X0,X1,X2),X1,X0)
    | ~ big_f(X2,X0,X1)
    | ~ big_f(X1,X2,X0) ),
    inference(copy,[status(esa)],[c_51]) ).

cnf(c_113,negated_conjecture,
    ( big_f(sk3_esk2_3(X0,X1,X2),X1,X0)
    | ~ big_f(X2,X0,X1)
    | ~ big_f(X1,X2,X0) ),
    inference(copy,[status(esa)],[c_106]) ).

cnf(c_140,negated_conjecture,
    ( big_f(sk3_esk2_3(X0,X1,X2),X1,X0)
    | ~ big_f(X2,X0,X1)
    | ~ big_f(X1,X2,X0) ),
    inference(copy,[status(esa)],[c_113]) ).

cnf(c_187,negated_conjecture,
    ( big_f(sk3_esk2_3(X0,X1,X2),X1,X0)
    | ~ big_f(X2,X0,X1)
    | ~ big_f(X1,X2,X0) ),
    inference(copy,[status(esa)],[c_140]) ).

cnf(c_395,plain,
    ( big_f(sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0),sk3_esk1_0)
    | big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0))
    | ~ big_f(sk3_esk1_0,X0,sk3_esk1_0)
    | ~ big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_385,c_187]) ).

cnf(c_398,plain,
    ( big_f(sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0),sk3_esk1_0)
    | big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0))
    | ~ big_f(sk3_esk1_0,X0,sk3_esk1_0)
    | ~ big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_395]) ).

cnf(c_407,plain,
    ( big_f(sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0),sk3_esk1_0)
    | big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_398,c_191,c_193]) ).

cnf(c_408,plain,
    ( big_f(sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0),sk3_esk1_0)
    | big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0)) ),
    inference(rewriting,[status(thm)],[c_407]) ).

cnf(c_412,plain,
    ( big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0))
    | big_f(sk3_esk1_0,sk3_esk1_0,X0)
    | ~ big_f(sk3_esk1_0,X0,sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_408,c_175]) ).

cnf(c_413,plain,
    ( big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0))
    | big_f(sk3_esk1_0,sk3_esk1_0,X0)
    | ~ big_f(sk3_esk1_0,X0,sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_412]) ).

cnf(c_430,plain,
    ( big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0))
    | big_f(sk3_esk1_0,sk3_esk1_0,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_413,c_374]) ).

cnf(c_431,plain,
    ( big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0))
    | big_f(sk3_esk1_0,sk3_esk1_0,X0) ),
    inference(rewriting,[status(thm)],[c_430]) ).

cnf(c_437,plain,
    ( big_f(sk3_esk1_0,sk3_esk1_0,X0)
    | ~ big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_431,c_171]) ).

cnf(c_438,plain,
    ( big_f(sk3_esk1_0,sk3_esk1_0,X0)
    | ~ big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_437]) ).

cnf(c_415,plain,
    ( big_f(sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0),sk3_esk1_0,sk3_esk1_0)
    | big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0)) ),
    inference(resolution,[status(thm)],[c_408,c_351]) ).

cnf(c_416,plain,
    ( big_f(sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0),sk3_esk1_0,sk3_esk1_0)
    | big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0)) ),
    inference(rewriting,[status(thm)],[c_415]) ).

cnf(c_446,plain,
    big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0)),
    inference(backward_subsumption_resolution,[status(thm)],[c_438,c_416]) ).

cnf(c_451,plain,
    big_f(sk3_esk1_0,sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0)),
    inference(rewriting,[status(thm)],[c_446]) ).

cnf(c_6,negated_conjecture,
    ( ~ big_f(X0,X1,sk3_esk2_3(X1,X0,X2))
    | ~ big_f(X2,X1,X0)
    | big_f(X0,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d8593c.p',c_0_26) ).

cnf(c_37,negated_conjecture,
    ( ~ big_f(X0,X1,sk3_esk2_3(X1,X0,X2))
    | ~ big_f(X2,X1,X0)
    | big_f(X0,X2,X1) ),
    inference(copy,[status(esa)],[c_6]) ).

cnf(c_99,negated_conjecture,
    ( ~ big_f(X0,X1,sk3_esk2_3(X1,X0,X2))
    | ~ big_f(X2,X1,X0)
    | big_f(X0,X2,X1) ),
    inference(copy,[status(esa)],[c_37]) ).

cnf(c_120,negated_conjecture,
    ( ~ big_f(X0,X1,sk3_esk2_3(X1,X0,X2))
    | ~ big_f(X2,X1,X0)
    | big_f(X0,X2,X1) ),
    inference(copy,[status(esa)],[c_99]) ).

cnf(c_133,negated_conjecture,
    ( ~ big_f(X0,X1,sk3_esk2_3(X1,X0,X2))
    | ~ big_f(X2,X1,X0)
    | big_f(X0,X2,X1) ),
    inference(copy,[status(esa)],[c_120]) ).

cnf(c_173,negated_conjecture,
    ( ~ big_f(X0,X1,sk3_esk2_3(X1,X0,X2))
    | ~ big_f(X2,X1,X0)
    | big_f(X0,X2,X1) ),
    inference(copy,[status(esa)],[c_133]) ).

cnf(c_462,plain,
    ( big_f(sk3_esk1_0,X0,sk3_esk1_0)
    | ~ big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_451,c_173]) ).

cnf(c_465,plain,
    ( big_f(sk3_esk1_0,X0,sk3_esk1_0)
    | ~ big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_462]) ).

cnf(c_472,plain,
    ( ~ big_f(sk3_esk1_0,sk3_esk1_0,X0)
    | big_f(sk3_esk1_0,X0,sk3_esk1_0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_465,c_307]) ).

cnf(c_473,plain,
    ( ~ big_f(sk3_esk1_0,sk3_esk1_0,X0)
    | big_f(sk3_esk1_0,X0,sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_472]) ).

cnf(c_486,plain,
    big_f(sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0),sk3_esk1_0),
    inference(resolution,[status(thm)],[c_473,c_451]) ).

cnf(c_487,plain,
    big_f(sk3_esk1_0,sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0),sk3_esk1_0),
    inference(rewriting,[status(thm)],[c_486]) ).

cnf(c_8,negated_conjecture,
    ( ~ big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | ~ big_f(X1,X2,X0)
    | big_f(X2,X0,X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d8593c.p',c_0_28) ).

cnf(c_41,negated_conjecture,
    ( ~ big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | ~ big_f(X1,X2,X0)
    | big_f(X2,X0,X1) ),
    inference(copy,[status(esa)],[c_8]) ).

cnf(c_101,negated_conjecture,
    ( ~ big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | ~ big_f(X1,X2,X0)
    | big_f(X2,X0,X1) ),
    inference(copy,[status(esa)],[c_41]) ).

cnf(c_118,negated_conjecture,
    ( ~ big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | ~ big_f(X1,X2,X0)
    | big_f(X2,X0,X1) ),
    inference(copy,[status(esa)],[c_101]) ).

cnf(c_135,negated_conjecture,
    ( ~ big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | ~ big_f(X1,X2,X0)
    | big_f(X2,X0,X1) ),
    inference(copy,[status(esa)],[c_118]) ).

cnf(c_177,negated_conjecture,
    ( ~ big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | ~ big_f(X1,X2,X0)
    | big_f(X2,X0,X1) ),
    inference(copy,[status(esa)],[c_135]) ).

cnf(c_502,plain,
    ( ~ big_f(sk3_esk1_0,X0,sk3_esk1_0)
    | big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_487,c_177]) ).

cnf(c_505,plain,
    ( ~ big_f(sk3_esk1_0,X0,sk3_esk1_0)
    | big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_502]) ).

cnf(c_516,plain,
    big_f(sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0),sk3_esk1_0,sk3_esk1_0),
    inference(resolution,[status(thm)],[c_505,c_487]) ).

cnf(c_517,plain,
    big_f(sk3_esk2_3(sk3_esk1_0,sk3_esk1_0,X0),sk3_esk1_0,sk3_esk1_0),
    inference(rewriting,[status(thm)],[c_516]) ).

cnf(c_521,plain,
    ( big_f(sk3_esk1_0,sk3_esk1_0,X0)
    | big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_517,c_179]) ).

cnf(c_522,plain,
    ( big_f(sk3_esk1_0,sk3_esk1_0,X0)
    | big_f(X0,sk3_esk1_0,sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_521]) ).

cnf(c_530,plain,
    big_f(sk3_esk1_0,sk3_esk1_0,X0),
    inference(forward_subsumption_resolution,[status(thm)],[c_522,c_438]) ).

cnf(c_531,plain,
    big_f(sk3_esk1_0,sk3_esk1_0,X0),
    inference(rewriting,[status(thm)],[c_530]) ).

cnf(c_535,negated_conjecture,
    ( ~ big_f(X0,X1,X2)
    | big_f(X1,X2,X0)
    | big_f(X2,X0,X1) ),
    inference(resolution,[status(thm)],[c_531,c_163]) ).

cnf(c_536,plain,
    ( ~ big_f(X0,X1,X2)
    | big_f(X1,X2,X0)
    | big_f(X2,X0,X1) ),
    inference(rewriting,[status(thm)],[c_535]) ).

cnf(c_563,plain,
    ( big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | big_f(X1,X0,sk3_esk2_3(X0,X1,X2))
    | ~ big_f(X2,X0,X1)
    | ~ big_f(X1,X2,X0) ),
    inference(resolution,[status(thm)],[c_536,c_187]) ).

cnf(c_566,plain,
    ( big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | big_f(X1,X0,sk3_esk2_3(X0,X1,X2))
    | ~ big_f(X2,X0,X1)
    | ~ big_f(X1,X2,X0) ),
    inference(rewriting,[status(thm)],[c_563]) ).

cnf(c_587,plain,
    ( big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | big_f(X1,X0,sk3_esk2_3(X0,X1,X2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_566,c_193,c_191]) ).

cnf(c_588,plain,
    ( big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | big_f(X1,X0,sk3_esk2_3(X0,X1,X2)) ),
    inference(rewriting,[status(thm)],[c_587]) ).

cnf(c_594,plain,
    ( big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | ~ big_f(X2,X0,X1)
    | big_f(X0,X1,X2) ),
    inference(resolution,[status(thm)],[c_588,c_171]) ).

cnf(c_595,plain,
    ( big_f(X0,sk3_esk2_3(X0,X1,X2),X1)
    | ~ big_f(X2,X0,X1)
    | big_f(X0,X1,X2) ),
    inference(rewriting,[status(thm)],[c_594]) ).

cnf(c_612,plain,
    ( ~ big_f(X0,X1,X2)
    | ~ big_f(X2,X0,X1)
    | big_f(X1,X2,X0) ),
    inference(resolution,[status(thm)],[c_595,c_175]) ).

cnf(c_613,plain,
    ( ~ big_f(X0,X1,X2)
    | ~ big_f(X2,X0,X1)
    | big_f(X1,X2,X0) ),
    inference(rewriting,[status(thm)],[c_612]) ).

cnf(c_630,plain,
    ( ~ big_f(X0,X1,X2)
    | big_f(X2,X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_613,c_536]) ).

cnf(c_631,plain,
    ( ~ big_f(X0,X1,X2)
    | big_f(X2,X0,X1) ),
    inference(rewriting,[status(thm)],[c_630]) ).

cnf(c_633,plain,
    big_f(X0,X1,sk3_esk2_3(X1,X0,X2)),
    inference(backward_subsumption_resolution,[status(thm)],[c_631,c_588]) ).

cnf(c_635,plain,
    big_f(X0,X1,sk3_esk2_3(X1,X0,X2)),
    inference(rewriting,[status(thm)],[c_633]) ).

cnf(c_670,plain,
    big_f(sk3_esk2_3(X0,X1,X2),X1,X0),
    inference(resolution,[status(thm)],[c_635,c_631]) ).

cnf(c_671,plain,
    big_f(sk3_esk2_3(X0,X1,X2),X1,X0),
    inference(rewriting,[status(thm)],[c_670]) ).

cnf(c_719,plain,
    ( big_f(X0,X1,X2)
    | big_f(X1,X2,X0) ),
    inference(resolution,[status(thm)],[c_671,c_179]) ).

cnf(c_720,plain,
    ( big_f(X0,X1,X2)
    | big_f(X1,X2,X0) ),
    inference(rewriting,[status(thm)],[c_719]) ).

cnf(c_673,plain,
    ( ~ big_f(X0,X1,X2)
    | big_f(X1,X2,X0) ),
    inference(resolution,[status(thm)],[c_635,c_171]) ).

cnf(c_674,plain,
    ( ~ big_f(X0,X1,X2)
    | big_f(X1,X2,X0) ),
    inference(rewriting,[status(thm)],[c_673]) ).

cnf(c_724,plain,
    big_f(X0,X1,X2),
    inference(forward_subsumption_resolution,[status(thm)],[c_720,c_674]) ).

cnf(c_725,plain,
    big_f(X0,X1,X2),
    inference(rewriting,[status(thm)],[c_724]) ).

cnf(c_0,negated_conjecture,
    ( ~ big_f(sk3_esk2_3(X0,X1,X2),sk3_esk2_3(X0,X1,X2),sk3_esk2_3(X0,X1,X2))
    | ~ big_f(X0,X1,X2)
    | ~ big_f(X1,X2,X0)
    | ~ big_f(X2,X0,X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d8593c.p',c_0_20) ).

cnf(c_25,negated_conjecture,
    ( ~ big_f(sk3_esk2_3(X0,X1,X2),sk3_esk2_3(X0,X1,X2),sk3_esk2_3(X0,X1,X2))
    | ~ big_f(X0,X1,X2)
    | ~ big_f(X1,X2,X0)
    | ~ big_f(X2,X0,X1) ),
    inference(copy,[status(esa)],[c_0]) ).

cnf(c_93,negated_conjecture,
    ( ~ big_f(sk3_esk2_3(X0,X1,X2),sk3_esk2_3(X0,X1,X2),sk3_esk2_3(X0,X1,X2))
    | ~ big_f(X0,X1,X2)
    | ~ big_f(X1,X2,X0)
    | ~ big_f(X2,X0,X1) ),
    inference(copy,[status(esa)],[c_25]) ).

cnf(c_126,negated_conjecture,
    ( ~ big_f(sk3_esk2_3(X0,X1,X2),sk3_esk2_3(X0,X1,X2),sk3_esk2_3(X0,X1,X2))
    | ~ big_f(X0,X1,X2)
    | ~ big_f(X1,X2,X0)
    | ~ big_f(X2,X0,X1) ),
    inference(copy,[status(esa)],[c_93]) ).

cnf(c_127,negated_conjecture,
    ( ~ big_f(sk3_esk2_3(X0,X1,X2),sk3_esk2_3(X0,X1,X2),sk3_esk2_3(X0,X1,X2))
    | ~ big_f(X0,X1,X2)
    | ~ big_f(X1,X2,X0)
    | ~ big_f(X2,X0,X1) ),
    inference(copy,[status(esa)],[c_126]) ).

cnf(c_161,negated_conjecture,
    ( ~ big_f(sk3_esk2_3(X0,X1,X2),sk3_esk2_3(X0,X1,X2),sk3_esk2_3(X0,X1,X2))
    | ~ big_f(X0,X1,X2)
    | ~ big_f(X1,X2,X0)
    | ~ big_f(X2,X0,X1) ),
    inference(copy,[status(esa)],[c_127]) ).

cnf(c_727,negated_conjecture,
    ( ~ big_f(X0,X1,X2)
    | ~ big_f(X1,X2,X0)
    | ~ big_f(X2,X0,X1) ),
    inference(resolution,[status(thm)],[c_725,c_161]) ).

cnf(c_728,plain,
    ( ~ big_f(X0,X1,X2)
    | ~ big_f(X1,X2,X0)
    | ~ big_f(X2,X0,X1) ),
    inference(rewriting,[status(thm)],[c_727]) ).

cnf(c_744,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_728,c_725,c_725,c_725]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN353+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 14:04:52 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.19/0.40  % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.40  % FOF problem with conjecture
% 0.19/0.40  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_00e69b.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_d8593c.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_ce3a8f | grep -v "SZS"
% 0.19/0.42  
% 0.19/0.42  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.42  
% 0.19/0.42  % 
% 0.19/0.42  % ------  iProver source info 
% 0.19/0.42  
% 0.19/0.42  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.42  % git: non_committed_changes: true
% 0.19/0.42  % git: last_make_outside_of_git: true
% 0.19/0.42  
% 0.19/0.42  % 
% 0.19/0.42  % ------ Input Options
% 0.19/0.42  
% 0.19/0.42  % --out_options                         all
% 0.19/0.42  % --tptp_safe_out                       true
% 0.19/0.42  % --problem_path                        ""
% 0.19/0.42  % --include_path                        ""
% 0.19/0.42  % --clausifier                          .//eprover
% 0.19/0.42  % --clausifier_options                  --tstp-format  
% 0.19/0.42  % --stdin                               false
% 0.19/0.42  % --dbg_backtrace                       false
% 0.19/0.42  % --dbg_dump_prop_clauses               false
% 0.19/0.42  % --dbg_dump_prop_clauses_file          -
% 0.19/0.42  % --dbg_out_stat                        false
% 0.19/0.42  
% 0.19/0.42  % ------ General Options
% 0.19/0.42  
% 0.19/0.42  % --fof                                 false
% 0.19/0.42  % --time_out_real                       150.
% 0.19/0.42  % --time_out_prep_mult                  0.2
% 0.19/0.42  % --time_out_virtual                    -1.
% 0.19/0.42  % --schedule                            none
% 0.19/0.42  % --ground_splitting                    input
% 0.19/0.42  % --splitting_nvd                       16
% 0.19/0.42  % --non_eq_to_eq                        false
% 0.19/0.42  % --prep_gs_sim                         true
% 0.19/0.42  % --prep_unflatten                      false
% 0.19/0.42  % --prep_res_sim                        true
% 0.19/0.42  % --prep_upred                          true
% 0.19/0.42  % --res_sim_input                       true
% 0.19/0.42  % --clause_weak_htbl                    true
% 0.19/0.42  % --gc_record_bc_elim                   false
% 0.19/0.42  % --symbol_type_check                   false
% 0.19/0.42  % --clausify_out                        false
% 0.19/0.42  % --large_theory_mode                   false
% 0.19/0.42  % --prep_sem_filter                     none
% 0.19/0.42  % --prep_sem_filter_out                 false
% 0.19/0.42  % --preprocessed_out                    false
% 0.19/0.42  % --sub_typing                          false
% 0.19/0.42  % --brand_transform                     false
% 0.19/0.42  % --pure_diseq_elim                     true
% 0.19/0.42  % --min_unsat_core                      false
% 0.19/0.42  % --pred_elim                           true
% 0.19/0.42  % --add_important_lit                   false
% 0.19/0.42  % --soft_assumptions                    false
% 0.19/0.42  % --reset_solvers                       false
% 0.19/0.42  % --bc_imp_inh                          []
% 0.19/0.42  % --conj_cone_tolerance                 1.5
% 0.19/0.42  % --prolific_symb_bound                 500
% 0.19/0.42  % --lt_threshold                        2000
% 0.19/0.42  
% 0.19/0.42  % ------ SAT Options
% 0.19/0.42  
% 0.19/0.42  % --sat_mode                            false
% 0.19/0.42  % --sat_fm_restart_options              ""
% 0.19/0.42  % --sat_gr_def                          false
% 0.19/0.42  % --sat_epr_types                       true
% 0.19/0.42  % --sat_non_cyclic_types                false
% 0.19/0.42  % --sat_finite_models                   false
% 0.19/0.42  % --sat_fm_lemmas                       false
% 0.19/0.42  % --sat_fm_prep                         false
% 0.19/0.42  % --sat_fm_uc_incr                      true
% 0.19/0.42  % --sat_out_model                       small
% 0.19/0.42  % --sat_out_clauses                     false
% 0.19/0.42  
% 0.19/0.42  % ------ QBF Options
% 0.19/0.42  
% 0.19/0.42  % --qbf_mode                            false
% 0.19/0.42  % --qbf_elim_univ                       true
% 0.19/0.42  % --qbf_sk_in                           true
% 0.19/0.42  % --qbf_pred_elim                       true
% 0.19/0.42  % --qbf_split                           32
% 0.19/0.42  
% 0.19/0.42  % ------ BMC1 Options
% 0.19/0.42  
% 0.19/0.42  % --bmc1_incremental                    false
% 0.19/0.42  % --bmc1_axioms                         reachable_all
% 0.19/0.42  % --bmc1_min_bound                      0
% 0.19/0.42  % --bmc1_max_bound                      -1
% 0.19/0.42  % --bmc1_max_bound_default              -1
% 0.19/0.42  % --bmc1_symbol_reachability            true
% 0.19/0.42  % --bmc1_property_lemmas                false
% 0.19/0.42  % --bmc1_k_induction                    false
% 0.19/0.42  % --bmc1_non_equiv_states               false
% 0.19/0.42  % --bmc1_deadlock                       false
% 0.19/0.42  % --bmc1_ucm                            false
% 0.19/0.42  % --bmc1_add_unsat_core                 none
% 0.19/0.42  % --bmc1_unsat_core_children            false
% 0.19/0.42  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.42  % --bmc1_out_stat                       full
% 0.19/0.42  % --bmc1_ground_init                    false
% 0.19/0.42  % --bmc1_pre_inst_next_state            false
% 0.19/0.42  % --bmc1_pre_inst_state                 false
% 0.19/0.42  % --bmc1_pre_inst_reach_state           false
% 0.19/0.42  % --bmc1_out_unsat_core                 false
% 0.19/0.42  % --bmc1_aig_witness_out                false
% 0.19/0.42  % --bmc1_verbose                        false
% 0.19/0.42  % --bmc1_dump_clauses_tptp              false
% 0.19/0.43  % --bmc1_dump_unsat_core_tptp           false
% 0.19/0.43  % --bmc1_dump_file                      -
% 0.19/0.43  % --bmc1_ucm_expand_uc_limit            128
% 0.19/0.43  % --bmc1_ucm_n_expand_iterations        6
% 0.19/0.43  % --bmc1_ucm_extend_mode                1
% 0.19/0.43  % --bmc1_ucm_init_mode                  2
% 0.19/0.43  % --bmc1_ucm_cone_mode                  none
% 0.19/0.43  % --bmc1_ucm_reduced_relation_type      0
% 0.19/0.43  % --bmc1_ucm_relax_model                4
% 0.19/0.43  % --bmc1_ucm_full_tr_after_sat          true
% 0.19/0.43  % --bmc1_ucm_expand_neg_assumptions     false
% 0.19/0.43  % --bmc1_ucm_layered_model              none
% 0.19/0.43  % --bmc1_ucm_max_lemma_size             10
% 0.19/0.43  
% 0.19/0.43  % ------ AIG Options
% 0.19/0.43  
% 0.19/0.43  % --aig_mode                            false
% 0.19/0.43  
% 0.19/0.43  % ------ Instantiation Options
% 0.19/0.43  
% 0.19/0.43  % --instantiation_flag                  true
% 0.19/0.43  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.43  % --inst_solver_per_active              750
% 0.19/0.43  % --inst_solver_calls_frac              0.5
% 0.19/0.43  % --inst_passive_queue_type             priority_queues
% 0.19/0.43  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.43  % --inst_passive_queues_freq            [25;2]
% 0.19/0.43  % --inst_dismatching                    true
% 0.19/0.43  % --inst_eager_unprocessed_to_passive   true
% 0.19/0.43  % --inst_prop_sim_given                 true
% 0.19/0.43  % --inst_prop_sim_new                   false
% 0.19/0.43  % --inst_orphan_elimination             true
% 0.19/0.43  % --inst_learning_loop_flag             true
% 0.19/0.43  % --inst_learning_start                 3000
% 0.19/0.43  % --inst_learning_factor                2
% 0.19/0.43  % --inst_start_prop_sim_after_learn     3
% 0.19/0.43  % --inst_sel_renew                      solver
% 0.19/0.43  % --inst_lit_activity_flag              true
% 0.19/0.43  % --inst_out_proof                      true
% 0.19/0.43  
% 0.19/0.43  % ------ Resolution Options
% 0.19/0.43  
% 0.19/0.43  % --resolution_flag                     true
% 0.19/0.43  % --res_lit_sel                         kbo_max
% 0.19/0.43  % --res_to_prop_solver                  none
% 0.19/0.43  % --res_prop_simpl_new                  false
% 0.19/0.43  % --res_prop_simpl_given                false
% 0.19/0.43  % --res_passive_queue_type              priority_queues
% 0.19/0.43  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.43  % --res_passive_queues_freq             [15;5]
% 0.19/0.43  % --res_forward_subs                    full
% 0.19/0.43  % --res_backward_subs                   full
% 0.19/0.43  % --res_forward_subs_resolution         true
% 0.19/0.43  % --res_backward_subs_resolution        true
% 0.19/0.43  % --res_orphan_elimination              false
% 0.19/0.43  % --res_time_limit                      1000.
% 0.19/0.43  % --res_out_proof                       true
% 0.19/0.43  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_00e69b.s
% 0.19/0.43  % --modulo                              true
% 0.19/0.43  
% 0.19/0.43  % ------ Combination Options
% 0.19/0.43  
% 0.19/0.43  % --comb_res_mult                       1000
% 0.19/0.43  % --comb_inst_mult                      300
% 0.19/0.43  % ------ 
% 0.19/0.43  
% 0.19/0.43  % ------ Parsing...% successful
% 0.19/0.43  
% 0.19/0.43  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.19/0.43  
% 0.19/0.43  % ------ Proving...
% 0.19/0.43  % ------ Problem Properties 
% 0.19/0.43  
% 0.19/0.43  % 
% 0.19/0.43  % EPR                                   false
% 0.19/0.43  % Horn                                  false
% 0.19/0.43  % Has equality                          false
% 0.19/0.43  
% 0.19/0.43  % % ------ Input Options Time Limit: Unbounded
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  % % ------ Current options:
% 0.19/0.43  
% 0.19/0.43  % ------ Input Options
% 0.19/0.43  
% 0.19/0.43  % --out_options                         all
% 0.19/0.43  % --tptp_safe_out                       true
% 0.19/0.43  % --problem_path                        ""
% 0.19/0.43  % --include_path                        ""
% 0.19/0.43  % --clausifier                          .//eprover
% 0.19/0.43  % --clausifier_options                  --tstp-format  
% 0.19/0.43  % --stdin                               false
% 0.19/0.43  % --dbg_backtrace                       false
% 0.19/0.43  % --dbg_dump_prop_clauses               false
% 0.19/0.43  % --dbg_dump_prop_clauses_file          -
% 0.19/0.43  % --dbg_out_stat                        false
% 0.19/0.43  
% 0.19/0.43  % ------ General Options
% 0.19/0.43  
% 0.19/0.43  % --fof                                 false
% 0.19/0.43  % --time_out_real                       150.
% 0.19/0.43  % --time_out_prep_mult                  0.2
% 0.19/0.43  % --time_out_virtual                    -1.
% 0.19/0.43  % --schedule                            none
% 0.19/0.43  % --ground_splitting                    input
% 0.19/0.43  % --splitting_nvd                       16
% 0.19/0.43  % --non_eq_to_eq                        false
% 0.19/0.43  % --prep_gs_sim                         true
% 0.19/0.43  % --prep_unflatten                      false
% 0.19/0.43  % --prep_res_sim                        true
% 0.19/0.43  % --prep_upred                          true
% 0.19/0.43  % --res_sim_input                       true
% 0.19/0.43  % --clause_weak_htbl                    true
% 0.19/0.43  % --gc_record_bc_elim                   false
% 0.19/0.43  % --symbol_type_check                   false
% 0.19/0.43  % --clausify_out                        false
% 0.19/0.43  % --large_theory_mode                   false
% 0.19/0.43  % --prep_sem_filter                     none
% 0.19/0.43  % --prep_sem_filter_out                 false
% 0.19/0.43  % --preprocessed_out                    false
% 0.19/0.43  % --sub_typing                          false
% 0.19/0.43  % --brand_transform                     false
% 0.19/0.43  % --pure_diseq_elim                     true
% 0.19/0.43  % --min_unsat_core                      false
% 0.19/0.43  % --pred_elim                           true
% 0.19/0.43  % --add_important_lit                   false
% 0.19/0.43  % --soft_assumptions                    false
% 0.19/0.43  % --reset_solvers                       false
% 0.19/0.43  % --bc_imp_inh                          []
% 0.19/0.43  % --conj_cone_tolerance                 1.5
% 0.19/0.43  % --prolific_symb_bound                 500
% 0.19/0.43  % --lt_threshold                        2000
% 0.19/0.43  
% 0.19/0.43  % ------ SAT Options
% 0.19/0.43  
% 0.19/0.43  % --sat_mode                            false
% 0.19/0.43  % --sat_fm_restart_options              ""
% 0.19/0.43  % --sat_gr_def                          false
% 0.19/0.43  % --sat_epr_types                       true
% 0.19/0.43  % --sat_non_cyclic_types                false
% 0.19/0.43  % --sat_finite_models                   false
% 0.19/0.43  % --sat_fm_lemmas                       false
% 0.19/0.43  % --sat_fm_prep                         false
% 0.19/0.43  % --sat_fm_uc_incr                      true
% 0.19/0.43  % --sat_out_model                       small
% 0.19/0.43  % --sat_out_clauses                     false
% 0.19/0.43  
% 0.19/0.43  % ------ QBF Options
% 0.19/0.43  
% 0.19/0.43  % --qbf_mode                            false
% 0.19/0.43  % --qbf_elim_univ                       true
% 0.19/0.43  % --qbf_sk_in                           true
% 0.19/0.43  % --qbf_pred_elim                       true
% 0.19/0.43  % --qbf_split                           32
% 0.19/0.43  
% 0.19/0.43  % ------ BMC1 Options
% 0.19/0.43  
% 0.19/0.43  % --bmc1_incremental                    false
% 0.19/0.43  % --bmc1_axioms                         reachable_all
% 0.19/0.43  % --bmc1_min_bound                      0
% 0.19/0.43  % --bmc1_max_bound                      -1
% 0.19/0.43  % --bmc1_max_bound_default              -1
% 0.19/0.43  % --bmc1_symbol_reachability            true
% 0.19/0.43  % --bmc1_property_lemmas                false
% 0.19/0.43  % --bmc1_k_induction                    false
% 0.19/0.43  % --bmc1_non_equiv_states               false
% 0.19/0.43  % --bmc1_deadlock                       false
% 0.19/0.43  % --bmc1_ucm                            false
% 0.19/0.43  % --bmc1_add_unsat_core                 none
% 0.19/0.43  % --bmc1_unsat_core_children            false
% 0.19/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.43  % --bmc1_out_stat                       full
% 0.19/0.43  % --bmc1_ground_init                    false
% 0.19/0.43  % --bmc1_pre_inst_next_state            false
% 0.19/0.43  % --bmc1_pre_inst_state                 false
% 0.19/0.43  % --bmc1_pre_inst_reach_state           false
% 0.19/0.43  % --bmc1_out_unsat_core                 false
% 0.19/0.43  % --bmc1_aig_witness_out                false
% 0.19/0.43  % --bmc1_verbose                        false
% 0.19/0.43  % --bmc1_dump_clauses_tptp              false
% 0.19/0.43  % --bmc1_dump_unsat_core_tptp           false
% 0.19/0.43  % --bmc1_dump_file                      -
% 0.19/0.43  % --bmc1_ucm_expand_uc_limit            128
% 0.19/0.43  % --bmc1_ucm_n_expand_iterations        6
% 0.19/0.43  % --bmc1_ucm_extend_mode                1
% 0.19/0.43  % --bmc1_ucm_init_mode                  2
% 0.19/0.43  % --bmc1_ucm_cone_mode                  none
% 0.19/0.43  % --bmc1_ucm_reduced_relation_type      0
% 0.19/0.43  % --bmc1_ucm_relax_model                4
% 0.19/0.43  % --bmc1_ucm_full_tr_after_sat          true
% 0.19/0.43  % --bmc1_ucm_expand_neg_assumptions     false
% 0.19/0.43  % --bmc1_ucm_layered_model              none
% 0.19/0.43  % --bmc1_ucm_max_lemma_size             10
% 0.19/0.43  
% 0.19/0.43  % ------ AIG Options
% 0.19/0.43  
% 0.19/0.43  % --aig_mode                            false
% 0.19/0.43  
% 0.19/0.43  % ------ Instantiation Options
% 0.19/0.43  
% 0.19/0.43  % --instantiation_flag                  true
% 0.19/0.43  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.43  % --inst_solver_per_active              750
% 0.19/0.43  % --inst_solver_calls_frac              0.5
% 0.19/0.43  % --inst_passive_queue_type             priority_queues
% 0.19/0.43  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.43  % --inst_passive_queues_freq            [25;2]
% 0.19/0.43  % --inst_dismatching                    true
% 0.19/0.43  % --inst_eager_unprocessed_to_passive   true
% 0.19/0.43  % --inst_prop_sim_given                 true
% 0.19/0.45  % --inst_prop_sim_new                   false
% 0.19/0.45  % --inst_orphan_elimination             true
% 0.19/0.45  % --inst_learning_loop_flag             true
% 0.19/0.45  % --inst_learning_start                 3000
% 0.19/0.45  % --inst_learning_factor                2
% 0.19/0.45  % --inst_start_prop_sim_after_learn     3
% 0.19/0.45  % --inst_sel_renew                      solver
% 0.19/0.45  % --inst_lit_activity_flag              true
% 0.19/0.45  % --inst_out_proof                      true
% 0.19/0.45  
% 0.19/0.45  % ------ Resolution Options
% 0.19/0.45  
% 0.19/0.45  % --resolution_flag                     true
% 0.19/0.45  % --res_lit_sel                         kbo_max
% 0.19/0.45  % --res_to_prop_solver                  none
% 0.19/0.45  % --res_prop_simpl_new                  false
% 0.19/0.45  % --res_prop_simpl_given                false
% 0.19/0.45  % --res_passive_queue_type              priority_queues
% 0.19/0.45  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.45  % --res_passive_queues_freq             [15;5]
% 0.19/0.45  % --res_forward_subs                    full
% 0.19/0.45  % --res_backward_subs                   full
% 0.19/0.45  % --res_forward_subs_resolution         true
% 0.19/0.45  % --res_backward_subs_resolution        true
% 0.19/0.45  % --res_orphan_elimination              false
% 0.19/0.45  % --res_time_limit                      1000.
% 0.19/0.45  % --res_out_proof                       true
% 0.19/0.45  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_00e69b.s
% 0.19/0.45  % --modulo                              true
% 0.19/0.45  
% 0.19/0.45  % ------ Combination Options
% 0.19/0.45  
% 0.19/0.45  % --comb_res_mult                       1000
% 0.19/0.45  % --comb_inst_mult                      300
% 0.19/0.45  % ------ 
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  % ------ Proving...
% 0.19/0.45  % 
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  %  Resolution empty clause
% 0.19/0.45  
% 0.19/0.45  % ------                             Statistics
% 0.19/0.45  
% 0.19/0.45  % ------ General
% 0.19/0.45  
% 0.19/0.45  % num_of_input_clauses:                 17
% 0.19/0.45  % num_of_input_neg_conjectures:         17
% 0.19/0.45  % num_of_splits:                        0
% 0.19/0.45  % num_of_split_atoms:                   0
% 0.19/0.45  % num_of_sem_filtered_clauses:          0
% 0.19/0.45  % num_of_subtypes:                      0
% 0.19/0.45  % monotx_restored_types:                0
% 0.19/0.45  % sat_num_of_epr_types:                 0
% 0.19/0.45  % sat_num_of_non_cyclic_types:          0
% 0.19/0.45  % sat_guarded_non_collapsed_types:      0
% 0.19/0.45  % is_epr:                               0
% 0.19/0.45  % is_horn:                              0
% 0.19/0.45  % has_eq:                               0
% 0.19/0.45  % num_pure_diseq_elim:                  0
% 0.19/0.45  % simp_replaced_by:                     0
% 0.19/0.45  % res_preprocessed:                     34
% 0.19/0.45  % prep_upred:                           0
% 0.19/0.45  % prep_unflattend:                      0
% 0.19/0.45  % pred_elim_cands:                      0
% 0.19/0.45  % pred_elim:                            0
% 0.19/0.45  % pred_elim_cl:                         0
% 0.19/0.45  % pred_elim_cycles:                     0
% 0.19/0.45  % forced_gc_time:                       0
% 0.19/0.45  % gc_basic_clause_elim:                 0
% 0.19/0.45  % parsing_time:                         0.001
% 0.19/0.45  % sem_filter_time:                      0.
% 0.19/0.45  % pred_elim_time:                       0.
% 0.19/0.45  % out_proof_time:                       0.007
% 0.19/0.45  % monotx_time:                          0.
% 0.19/0.45  % subtype_inf_time:                     0.
% 0.19/0.45  % unif_index_cands_time:                0.
% 0.19/0.45  % unif_index_add_time:                  0.
% 0.19/0.45  % total_time:                           0.04
% 0.19/0.45  % num_of_symbols:                       28
% 0.19/0.45  % num_of_terms:                         66
% 0.19/0.45  
% 0.19/0.45  % ------ Propositional Solver
% 0.19/0.45  
% 0.19/0.45  % prop_solver_calls:                    1
% 0.19/0.45  % prop_fast_solver_calls:               141
% 0.19/0.45  % prop_num_of_clauses:                  25
% 0.19/0.45  % prop_preprocess_simplified:           315
% 0.19/0.45  % prop_fo_subsumed:                     0
% 0.19/0.45  % prop_solver_time:                     0.
% 0.19/0.45  % prop_fast_solver_time:                0.
% 0.19/0.45  % prop_unsat_core_time:                 0.
% 0.19/0.45  
% 0.19/0.45  % ------ QBF 
% 0.19/0.45  
% 0.19/0.45  % qbf_q_res:                            0
% 0.19/0.45  % qbf_num_tautologies:                  0
% 0.19/0.45  % qbf_prep_cycles:                      0
% 0.19/0.45  
% 0.19/0.45  % ------ BMC1
% 0.19/0.45  
% 0.19/0.45  % bmc1_current_bound:                   -1
% 0.19/0.45  % bmc1_last_solved_bound:               -1
% 0.19/0.45  % bmc1_unsat_core_size:                 -1
% 0.19/0.45  % bmc1_unsat_core_parents_size:         -1
% 0.19/0.45  % bmc1_merge_next_fun:                  0
% 0.19/0.45  % bmc1_unsat_core_clauses_time:         0.
% 0.19/0.45  
% 0.19/0.45  % ------ Instantiation
% 0.19/0.45  
% 0.19/0.45  % inst_num_of_clauses:                  17
% 0.19/0.45  % inst_num_in_passive:                  0
% 0.19/0.45  % inst_num_in_active:                   0
% 0.19/0.45  % inst_num_in_unprocessed:              17
% 0.19/0.45  % inst_num_of_loops:                    0
% 0.19/0.45  % inst_num_of_learning_restarts:        0
% 0.19/0.45  % inst_num_moves_active_passive:        0
% 0.19/0.45  % inst_lit_activity:                    0
% 0.19/0.45  % inst_lit_activity_moves:              0
% 0.19/0.45  % inst_num_tautologies:                 0
% 0.19/0.45  % inst_num_prop_implied:                0
% 0.19/0.45  % inst_num_existing_simplified:         0
% 0.19/0.45  % inst_num_eq_res_simplified:           0
% 0.19/0.45  % inst_num_child_elim:                  0
% 0.19/0.45  % inst_num_of_dismatching_blockings:    0
% 0.19/0.45  % inst_num_of_non_proper_insts:         0
% 0.19/0.45  % inst_num_of_duplicates:               0
% 0.19/0.45  % inst_inst_num_from_inst_to_res:       0
% 0.19/0.45  % inst_dismatching_checking_time:       0.
% 0.19/0.45  
% 0.19/0.45  % ------ Resolution
% 0.19/0.45  
% 0.19/0.45  % res_num_of_clauses:                   14
% 0.19/0.45  % res_num_in_passive:                   15
% 0.19/0.45  % res_num_in_active:                    10
% 0.19/0.45  % res_num_of_loops:                     61
% 0.19/0.45  % res_forward_subset_subsumed:          61
% 0.19/0.45  % res_backward_subset_subsumed:         38
% 0.19/0.45  % res_forward_subsumed:                 10
% 0.19/0.45  % res_backward_subsumed:                14
% 0.19/0.45  % res_forward_subsumption_resolution:   12
% 0.19/0.45  % res_backward_subsumption_resolution:  12
% 0.19/0.45  % res_clause_to_clause_subsumption:     332
% 0.19/0.45  % res_orphan_elimination:               0
% 0.19/0.45  % res_tautology_del:                    21
% 0.19/0.45  % res_num_eq_res_simplified:            0
% 0.19/0.45  % res_num_sel_changes:                  0
% 0.19/0.45  % res_moves_from_active_to_pass:        0
% 0.19/0.45  
% 0.19/0.45  % Status Unsatisfiable
% 0.19/0.45  % SZS status Theorem
% 0.19/0.45  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------