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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEU281+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:24:33 PM UTC 2026

% Result   : Theorem 0.13s 30.60s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   79 (   9 unt;   0 def)
%            Number of atoms       :  445 ( 204 equ)
%            Maximal formula atoms :  198 (   5 avg)
%            Number of connectives :  554 ( 188   ~; 287   |;  74   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   68 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   2 con; 0-3 aty)
%            Number of variables   :  158 (   0 sgn  22   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(s1_tarski__e16_22__wellord2__2,axiom,
    ! [X1,X2] :
      ( ! [X3,X4,X5] :
          ( ( ? [X8,X9] :
                ( X9 = singleton(X8)
                & in(X8,X1)
                & ordered_pair(X8,X9) = X5 )
            & X3 = X5
            & ? [X6,X7] :
                ( X7 = singleton(X6)
                & in(X6,X1)
                & ordered_pair(X6,X7) = X4 )
            & X3 = X4 )
         => X4 = X5 )
     => ? [X3] :
        ! [X4] :
          ( in(X4,X3)
        <=> ? [X5] :
              ( ? [X10,X11] :
                  ( X11 = singleton(X10)
                  & in(X10,X1)
                  & ordered_pair(X10,X11) = X4 )
              & X5 = X4
              & in(X5,cartesian_product2(X1,X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e16_22__wellord2__2) ).

fof(s1_xboole_0__e16_22__wellord2__1,conjecture,
    ! [X1,X2] :
    ? [X3] :
    ! [X4] :
      ( in(X4,X3)
    <=> ( ? [X5,X6] :
            ( X6 = singleton(X5)
            & in(X5,X1)
            & ordered_pair(X5,X6) = X4 )
        & in(X4,cartesian_product2(X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e16_22__wellord2__1) ).

fof(c_0_2,plain,
    ! [X32,X40,X42,X46,X47,X48,X49] :
      ( ( esk11_1(X32) != esk12_1(X32)
        | in(X46,esk17_2(X32,X40))
        | X49 != singleton(X48)
        | ~ in(X48,X32)
        | ordered_pair(X48,X49) != X46
        | X47 != X46
        | ~ in(X47,cartesian_product2(X32,X40)) )
      & ( esk11_1(X32) != esk12_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | esk20_3(X32,X40,X42) = singleton(esk19_3(X32,X40,X42)) )
      & ( esk11_1(X32) != esk12_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | in(esk19_3(X32,X40,X42),X32) )
      & ( esk11_1(X32) != esk12_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | ordered_pair(esk19_3(X32,X40,X42),esk20_3(X32,X40,X42)) = X42 )
      & ( esk11_1(X32) != esk12_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | esk18_3(X32,X40,X42) = X42 )
      & ( esk11_1(X32) != esk12_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | in(esk18_3(X32,X40,X42),cartesian_product2(X32,X40)) )
      & ( esk16_1(X32) = singleton(esk15_1(X32))
        | in(X46,esk17_2(X32,X40))
        | X49 != singleton(X48)
        | ~ in(X48,X32)
        | ordered_pair(X48,X49) != X46
        | X47 != X46
        | ~ in(X47,cartesian_product2(X32,X40)) )
      & ( esk16_1(X32) = singleton(esk15_1(X32))
        | ~ in(X42,esk17_2(X32,X40))
        | esk20_3(X32,X40,X42) = singleton(esk19_3(X32,X40,X42)) )
      & ( esk16_1(X32) = singleton(esk15_1(X32))
        | ~ in(X42,esk17_2(X32,X40))
        | in(esk19_3(X32,X40,X42),X32) )
      & ( esk16_1(X32) = singleton(esk15_1(X32))
        | ~ in(X42,esk17_2(X32,X40))
        | ordered_pair(esk19_3(X32,X40,X42),esk20_3(X32,X40,X42)) = X42 )
      & ( esk16_1(X32) = singleton(esk15_1(X32))
        | ~ in(X42,esk17_2(X32,X40))
        | esk18_3(X32,X40,X42) = X42 )
      & ( esk16_1(X32) = singleton(esk15_1(X32))
        | ~ in(X42,esk17_2(X32,X40))
        | in(esk18_3(X32,X40,X42),cartesian_product2(X32,X40)) )
      & ( in(esk15_1(X32),X32)
        | in(X46,esk17_2(X32,X40))
        | X49 != singleton(X48)
        | ~ in(X48,X32)
        | ordered_pair(X48,X49) != X46
        | X47 != X46
        | ~ in(X47,cartesian_product2(X32,X40)) )
      & ( in(esk15_1(X32),X32)
        | ~ in(X42,esk17_2(X32,X40))
        | esk20_3(X32,X40,X42) = singleton(esk19_3(X32,X40,X42)) )
      & ( in(esk15_1(X32),X32)
        | ~ in(X42,esk17_2(X32,X40))
        | in(esk19_3(X32,X40,X42),X32) )
      & ( in(esk15_1(X32),X32)
        | ~ in(X42,esk17_2(X32,X40))
        | ordered_pair(esk19_3(X32,X40,X42),esk20_3(X32,X40,X42)) = X42 )
      & ( in(esk15_1(X32),X32)
        | ~ in(X42,esk17_2(X32,X40))
        | esk18_3(X32,X40,X42) = X42 )
      & ( in(esk15_1(X32),X32)
        | ~ in(X42,esk17_2(X32,X40))
        | in(esk18_3(X32,X40,X42),cartesian_product2(X32,X40)) )
      & ( ordered_pair(esk15_1(X32),esk16_1(X32)) = esk12_1(X32)
        | in(X46,esk17_2(X32,X40))
        | X49 != singleton(X48)
        | ~ in(X48,X32)
        | ordered_pair(X48,X49) != X46
        | X47 != X46
        | ~ in(X47,cartesian_product2(X32,X40)) )
      & ( ordered_pair(esk15_1(X32),esk16_1(X32)) = esk12_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | esk20_3(X32,X40,X42) = singleton(esk19_3(X32,X40,X42)) )
      & ( ordered_pair(esk15_1(X32),esk16_1(X32)) = esk12_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | in(esk19_3(X32,X40,X42),X32) )
      & ( ordered_pair(esk15_1(X32),esk16_1(X32)) = esk12_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | ordered_pair(esk19_3(X32,X40,X42),esk20_3(X32,X40,X42)) = X42 )
      & ( ordered_pair(esk15_1(X32),esk16_1(X32)) = esk12_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | esk18_3(X32,X40,X42) = X42 )
      & ( ordered_pair(esk15_1(X32),esk16_1(X32)) = esk12_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | in(esk18_3(X32,X40,X42),cartesian_product2(X32,X40)) )
      & ( esk10_1(X32) = esk12_1(X32)
        | in(X46,esk17_2(X32,X40))
        | X49 != singleton(X48)
        | ~ in(X48,X32)
        | ordered_pair(X48,X49) != X46
        | X47 != X46
        | ~ in(X47,cartesian_product2(X32,X40)) )
      & ( esk10_1(X32) = esk12_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | esk20_3(X32,X40,X42) = singleton(esk19_3(X32,X40,X42)) )
      & ( esk10_1(X32) = esk12_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | in(esk19_3(X32,X40,X42),X32) )
      & ( esk10_1(X32) = esk12_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | ordered_pair(esk19_3(X32,X40,X42),esk20_3(X32,X40,X42)) = X42 )
      & ( esk10_1(X32) = esk12_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | esk18_3(X32,X40,X42) = X42 )
      & ( esk10_1(X32) = esk12_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | in(esk18_3(X32,X40,X42),cartesian_product2(X32,X40)) )
      & ( esk14_1(X32) = singleton(esk13_1(X32))
        | in(X46,esk17_2(X32,X40))
        | X49 != singleton(X48)
        | ~ in(X48,X32)
        | ordered_pair(X48,X49) != X46
        | X47 != X46
        | ~ in(X47,cartesian_product2(X32,X40)) )
      & ( esk14_1(X32) = singleton(esk13_1(X32))
        | ~ in(X42,esk17_2(X32,X40))
        | esk20_3(X32,X40,X42) = singleton(esk19_3(X32,X40,X42)) )
      & ( esk14_1(X32) = singleton(esk13_1(X32))
        | ~ in(X42,esk17_2(X32,X40))
        | in(esk19_3(X32,X40,X42),X32) )
      & ( esk14_1(X32) = singleton(esk13_1(X32))
        | ~ in(X42,esk17_2(X32,X40))
        | ordered_pair(esk19_3(X32,X40,X42),esk20_3(X32,X40,X42)) = X42 )
      & ( esk14_1(X32) = singleton(esk13_1(X32))
        | ~ in(X42,esk17_2(X32,X40))
        | esk18_3(X32,X40,X42) = X42 )
      & ( esk14_1(X32) = singleton(esk13_1(X32))
        | ~ in(X42,esk17_2(X32,X40))
        | in(esk18_3(X32,X40,X42),cartesian_product2(X32,X40)) )
      & ( in(esk13_1(X32),X32)
        | in(X46,esk17_2(X32,X40))
        | X49 != singleton(X48)
        | ~ in(X48,X32)
        | ordered_pair(X48,X49) != X46
        | X47 != X46
        | ~ in(X47,cartesian_product2(X32,X40)) )
      & ( in(esk13_1(X32),X32)
        | ~ in(X42,esk17_2(X32,X40))
        | esk20_3(X32,X40,X42) = singleton(esk19_3(X32,X40,X42)) )
      & ( in(esk13_1(X32),X32)
        | ~ in(X42,esk17_2(X32,X40))
        | in(esk19_3(X32,X40,X42),X32) )
      & ( in(esk13_1(X32),X32)
        | ~ in(X42,esk17_2(X32,X40))
        | ordered_pair(esk19_3(X32,X40,X42),esk20_3(X32,X40,X42)) = X42 )
      & ( in(esk13_1(X32),X32)
        | ~ in(X42,esk17_2(X32,X40))
        | esk18_3(X32,X40,X42) = X42 )
      & ( in(esk13_1(X32),X32)
        | ~ in(X42,esk17_2(X32,X40))
        | in(esk18_3(X32,X40,X42),cartesian_product2(X32,X40)) )
      & ( ordered_pair(esk13_1(X32),esk14_1(X32)) = esk11_1(X32)
        | in(X46,esk17_2(X32,X40))
        | X49 != singleton(X48)
        | ~ in(X48,X32)
        | ordered_pair(X48,X49) != X46
        | X47 != X46
        | ~ in(X47,cartesian_product2(X32,X40)) )
      & ( ordered_pair(esk13_1(X32),esk14_1(X32)) = esk11_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | esk20_3(X32,X40,X42) = singleton(esk19_3(X32,X40,X42)) )
      & ( ordered_pair(esk13_1(X32),esk14_1(X32)) = esk11_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | in(esk19_3(X32,X40,X42),X32) )
      & ( ordered_pair(esk13_1(X32),esk14_1(X32)) = esk11_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | ordered_pair(esk19_3(X32,X40,X42),esk20_3(X32,X40,X42)) = X42 )
      & ( ordered_pair(esk13_1(X32),esk14_1(X32)) = esk11_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | esk18_3(X32,X40,X42) = X42 )
      & ( ordered_pair(esk13_1(X32),esk14_1(X32)) = esk11_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | in(esk18_3(X32,X40,X42),cartesian_product2(X32,X40)) )
      & ( esk10_1(X32) = esk11_1(X32)
        | in(X46,esk17_2(X32,X40))
        | X49 != singleton(X48)
        | ~ in(X48,X32)
        | ordered_pair(X48,X49) != X46
        | X47 != X46
        | ~ in(X47,cartesian_product2(X32,X40)) )
      & ( esk10_1(X32) = esk11_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | esk20_3(X32,X40,X42) = singleton(esk19_3(X32,X40,X42)) )
      & ( esk10_1(X32) = esk11_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | in(esk19_3(X32,X40,X42),X32) )
      & ( esk10_1(X32) = esk11_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | ordered_pair(esk19_3(X32,X40,X42),esk20_3(X32,X40,X42)) = X42 )
      & ( esk10_1(X32) = esk11_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | esk18_3(X32,X40,X42) = X42 )
      & ( esk10_1(X32) = esk11_1(X32)
        | ~ in(X42,esk17_2(X32,X40))
        | in(esk18_3(X32,X40,X42),cartesian_product2(X32,X40)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[s1_tarski__e16_22__wellord2__2])])])])])])]) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1,X2] :
      ? [X3] :
      ! [X4] :
        ( in(X4,X3)
      <=> ( ? [X5,X6] :
              ( X6 = singleton(X5)
              & in(X5,X1)
              & ordered_pair(X5,X6) = X4 )
          & in(X4,cartesian_product2(X1,X2)) ) ),
    inference(assume_negation,[status(cth)],[s1_xboole_0__e16_22__wellord2__1]) ).

cnf(c_0_4,plain,
    ( X6 != singleton(X5)
    | ~ in(X5,X2)
    | ordered_pair(X5,X6) != X4
    | X1 != X4
    | ~ in(X1,cartesian_product2(X2,X3))
    | esk10_1(X2) = esk11_1(X2)
    | in(X4,esk17_2(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_5,negated_conjecture,
    ! [X14,X16,X17] :
      ( ( in(esk3_1(X14),X14)
        | esk5_1(X14) = singleton(esk4_1(X14)) )
      & ( in(esk3_1(X14),X14)
        | in(esk4_1(X14),esk1_0) )
      & ( in(esk3_1(X14),X14)
        | ordered_pair(esk4_1(X14),esk5_1(X14)) = esk3_1(X14) )
      & ( in(esk3_1(X14),X14)
        | in(esk3_1(X14),cartesian_product2(esk1_0,esk2_0)) )
      & ( X17 != singleton(X16)
        | ~ in(X16,esk1_0)
        | ordered_pair(X16,X17) != esk3_1(X14)
        | ~ in(esk3_1(X14),cartesian_product2(esk1_0,esk2_0))
        | ~ in(esk3_1(X14),X14) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).

cnf(c_0_6,plain,
    ( ~ in(X2,X1)
    | ~ in(ordered_pair(X2,singleton(X2)),cartesian_product2(X1,X3))
    | in(ordered_pair(X2,singleton(X2)),esk17_2(X1,X3))
    | esk10_1(X1) = esk11_1(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_4])])]) ).

cnf(c_0_7,negated_conjecture,
    ( in(esk3_1(X1),X1)
    | in(esk4_1(X1),esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    ( ~ in(ordered_pair(esk4_1(X1),singleton(esk4_1(X1))),cartesian_product2(esk1_0,X2))
    | in(esk3_1(X1),X1)
    | in(ordered_pair(esk4_1(X1),singleton(esk4_1(X1))),esk17_2(esk1_0,X2))
    | esk10_1(esk1_0) = esk11_1(esk1_0) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    ( in(esk3_1(X1),X1)
    | esk5_1(X1) = singleton(esk4_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ in(ordered_pair(esk4_1(X1),esk5_1(X1)),cartesian_product2(esk1_0,X2))
    | in(esk3_1(X1),X1)
    | in(ordered_pair(esk4_1(X1),esk5_1(X1)),esk17_2(esk1_0,X2))
    | esk10_1(esk1_0) = esk11_1(esk1_0) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,negated_conjecture,
    ( in(esk3_1(X1),X1)
    | ordered_pair(esk4_1(X1),esk5_1(X1)) = esk3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ in(esk3_1(X1),cartesian_product2(esk1_0,X2))
    | in(esk3_1(X1),X1)
    | in(esk3_1(X1),esk17_2(esk1_0,X2))
    | esk10_1(esk1_0) = esk11_1(esk1_0) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,negated_conjecture,
    ( in(esk3_1(X1),X1)
    | in(esk3_1(X1),cartesian_product2(esk1_0,esk2_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_14,negated_conjecture,
    ( in(esk3_1(X1),X1)
    | in(esk3_1(X1),esk17_2(esk1_0,esk2_0))
    | esk10_1(esk1_0) = esk11_1(esk1_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,negated_conjecture,
    ( X3 != singleton(X2)
    | ~ in(X2,esk1_0)
    | ordered_pair(X2,X3) != esk3_1(X1)
    | ~ in(esk3_1(X1),cartesian_product2(esk1_0,esk2_0))
    | ~ in(esk3_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_16,plain,
    ( ~ in(X3,esk17_2(X1,X2))
    | esk10_1(X1) = esk11_1(X1)
    | esk20_3(X1,X2,X3) = singleton(esk19_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_17,negated_conjecture,
    ( in(esk3_1(esk17_2(esk1_0,esk2_0)),esk17_2(esk1_0,esk2_0))
    | esk10_1(esk1_0) = esk11_1(esk1_0) ),
    inference(ef,[status(thm)],[c_0_14]) ).

cnf(c_0_18,plain,
    ( ~ in(X3,esk17_2(X1,X2))
    | esk10_1(X1) = esk11_1(X1)
    | in(esk19_3(X1,X2,X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ in(X1,esk1_0)
    | ~ in(esk3_1(X2),X2)
    | ~ in(esk3_1(X2),cartesian_product2(esk1_0,esk2_0))
    | ordered_pair(X1,singleton(X1)) != esk3_1(X2) ),
    inference(er,[status(thm)],[c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    ( esk10_1(esk1_0) = esk11_1(esk1_0)
    | singleton(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0)))) = esk20_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    ( in(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),esk1_0)
    | esk10_1(esk1_0) = esk11_1(esk1_0) ),
    inference(spm,[status(thm)],[c_0_18,c_0_17]) ).

cnf(c_0_22,plain,
    ( ~ in(X3,esk17_2(X1,X2))
    | esk10_1(X1) = esk11_1(X1)
    | ordered_pair(esk19_3(X1,X2,X3),esk20_3(X1,X2,X3)) = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_23,plain,
    ( ~ in(X3,esk17_2(X1,X2))
    | esk10_1(X1) = esk11_1(X1)
    | in(esk18_3(X1,X2,X3),cartesian_product2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_24,plain,
    ( ~ in(X3,esk17_2(X1,X2))
    | esk10_1(X1) = esk11_1(X1)
    | esk18_3(X1,X2,X3) = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ in(esk3_1(X1),X1)
    | ~ in(esk3_1(X1),cartesian_product2(esk1_0,esk2_0))
    | ordered_pair(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),esk20_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0)))) != esk3_1(X1)
    | esk10_1(esk1_0) = esk11_1(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    ( esk10_1(esk1_0) = esk11_1(esk1_0)
    | ordered_pair(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),esk20_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0)))) = esk3_1(esk17_2(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_22,c_0_17]) ).

cnf(c_0_27,negated_conjecture,
    ( in(esk18_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),cartesian_product2(esk1_0,esk2_0))
    | esk10_1(esk1_0) = esk11_1(esk1_0) ),
    inference(spm,[status(thm)],[c_0_23,c_0_17]) ).

cnf(c_0_28,negated_conjecture,
    ( esk10_1(esk1_0) = esk11_1(esk1_0)
    | esk18_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))) = esk3_1(esk17_2(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_17]) ).

cnf(c_0_29,plain,
    ( X6 != singleton(X5)
    | ~ in(X5,X2)
    | ordered_pair(X5,X6) != X4
    | X1 != X4
    | ~ in(X1,cartesian_product2(X2,X3))
    | esk10_1(X2) = esk12_1(X2)
    | in(X4,esk17_2(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ in(esk3_1(X1),X1)
    | ~ in(esk3_1(X1),cartesian_product2(esk1_0,esk2_0))
    | esk3_1(esk17_2(esk1_0,esk2_0)) != esk3_1(X1)
    | esk10_1(esk1_0) = esk11_1(esk1_0) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_31,negated_conjecture,
    ( in(esk3_1(esk17_2(esk1_0,esk2_0)),cartesian_product2(esk1_0,esk2_0))
    | esk10_1(esk1_0) = esk11_1(esk1_0) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_32,plain,
    ( ~ in(X2,X1)
    | ~ in(ordered_pair(X2,singleton(X2)),cartesian_product2(X1,X3))
    | in(ordered_pair(X2,singleton(X2)),esk17_2(X1,X3))
    | esk10_1(X1) = esk12_1(X1) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_29])])]) ).

cnf(c_0_33,negated_conjecture,
    esk10_1(esk1_0) = esk11_1(esk1_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_30]),c_0_17]),c_0_31]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ in(ordered_pair(esk4_1(X1),singleton(esk4_1(X1))),cartesian_product2(esk1_0,X2))
    | in(esk3_1(X1),X1)
    | in(ordered_pair(esk4_1(X1),singleton(esk4_1(X1))),esk17_2(esk1_0,X2))
    | esk12_1(esk1_0) = esk11_1(esk1_0) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_7]),c_0_33]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ in(ordered_pair(esk4_1(X1),esk5_1(X1)),cartesian_product2(esk1_0,X2))
    | in(esk3_1(X1),X1)
    | in(ordered_pair(esk4_1(X1),esk5_1(X1)),esk17_2(esk1_0,X2))
    | esk12_1(esk1_0) = esk11_1(esk1_0) ),
    inference(spm,[status(thm)],[c_0_34,c_0_9]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ in(esk3_1(X1),cartesian_product2(esk1_0,X2))
    | in(esk3_1(X1),X1)
    | in(esk3_1(X1),esk17_2(esk1_0,X2))
    | esk12_1(esk1_0) = esk11_1(esk1_0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_11]) ).

cnf(c_0_37,negated_conjecture,
    ( in(esk3_1(X1),X1)
    | in(esk3_1(X1),esk17_2(esk1_0,esk2_0))
    | esk12_1(esk1_0) = esk11_1(esk1_0) ),
    inference(spm,[status(thm)],[c_0_36,c_0_13]) ).

cnf(c_0_38,plain,
    ( ~ in(X3,esk17_2(X1,X2))
    | esk10_1(X1) = esk12_1(X1)
    | esk20_3(X1,X2,X3) = singleton(esk19_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_39,negated_conjecture,
    ( in(esk3_1(esk17_2(esk1_0,esk2_0)),esk17_2(esk1_0,esk2_0))
    | esk12_1(esk1_0) = esk11_1(esk1_0) ),
    inference(ef,[status(thm)],[c_0_37]) ).

cnf(c_0_40,plain,
    ( ~ in(X3,esk17_2(X1,X2))
    | esk10_1(X1) = esk12_1(X1)
    | in(esk19_3(X1,X2,X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_41,negated_conjecture,
    ( esk12_1(esk1_0) = esk11_1(esk1_0)
    | singleton(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0)))) = esk20_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_33])]) ).

cnf(c_0_42,negated_conjecture,
    ( in(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),esk1_0)
    | esk12_1(esk1_0) = esk11_1(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_39]),c_0_33])]) ).

cnf(c_0_43,plain,
    ( ~ in(X3,esk17_2(X1,X2))
    | esk10_1(X1) = esk12_1(X1)
    | ordered_pair(esk19_3(X1,X2,X3),esk20_3(X1,X2,X3)) = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_44,plain,
    ( ~ in(X3,esk17_2(X1,X2))
    | esk10_1(X1) = esk12_1(X1)
    | in(esk18_3(X1,X2,X3),cartesian_product2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_45,plain,
    ( ~ in(X3,esk17_2(X1,X2))
    | esk10_1(X1) = esk12_1(X1)
    | esk18_3(X1,X2,X3) = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ in(esk3_1(X1),X1)
    | ~ in(esk3_1(X1),cartesian_product2(esk1_0,esk2_0))
    | ordered_pair(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),esk20_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0)))) != esk3_1(X1)
    | esk12_1(esk1_0) = esk11_1(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_41]),c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    ( esk12_1(esk1_0) = esk11_1(esk1_0)
    | ordered_pair(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),esk20_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0)))) = esk3_1(esk17_2(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_39]),c_0_33])]) ).

cnf(c_0_48,negated_conjecture,
    ( in(esk18_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),cartesian_product2(esk1_0,esk2_0))
    | esk12_1(esk1_0) = esk11_1(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_39]),c_0_33])]) ).

cnf(c_0_49,negated_conjecture,
    ( in(esk3_1(esk17_2(X1,X2)),cartesian_product2(esk1_0,esk2_0))
    | esk10_1(X1) = esk12_1(X1)
    | esk18_3(X1,X2,esk3_1(esk17_2(X1,X2))) = esk3_1(esk17_2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_45,c_0_13]) ).

cnf(c_0_50,plain,
    ( esk11_1(X2) != esk12_1(X2)
    | X6 != singleton(X5)
    | ~ in(X5,X2)
    | ordered_pair(X5,X6) != X4
    | X1 != X4
    | ~ in(X1,cartesian_product2(X2,X3))
    | in(X4,esk17_2(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ in(esk3_1(X1),X1)
    | ~ in(esk3_1(X1),cartesian_product2(esk1_0,esk2_0))
    | esk3_1(esk17_2(esk1_0,esk2_0)) != esk3_1(X1)
    | esk12_1(esk1_0) = esk11_1(esk1_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_52,negated_conjecture,
    ( in(esk3_1(esk17_2(esk1_0,esk2_0)),cartesian_product2(esk1_0,esk2_0))
    | esk12_1(esk1_0) = esk11_1(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_33])]) ).

cnf(c_0_53,plain,
    ( ~ in(X1,X2)
    | ~ in(ordered_pair(X1,singleton(X1)),cartesian_product2(X2,X3))
    | esk12_1(X2) != esk11_1(X2)
    | in(ordered_pair(X1,singleton(X1)),esk17_2(X2,X3)) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_50])])]) ).

cnf(c_0_54,negated_conjecture,
    esk12_1(esk1_0) = esk11_1(esk1_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_51]),c_0_39]),c_0_52]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ in(X1,esk1_0)
    | ~ in(ordered_pair(X1,singleton(X1)),cartesian_product2(esk1_0,X2))
    | in(ordered_pair(X1,singleton(X1)),esk17_2(esk1_0,X2)) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ in(ordered_pair(esk4_1(X1),singleton(esk4_1(X1))),cartesian_product2(esk1_0,X2))
    | in(esk3_1(X1),X1)
    | in(ordered_pair(esk4_1(X1),singleton(esk4_1(X1))),esk17_2(esk1_0,X2)) ),
    inference(spm,[status(thm)],[c_0_55,c_0_7]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ in(ordered_pair(esk4_1(X1),esk5_1(X1)),cartesian_product2(esk1_0,X2))
    | in(esk3_1(X1),X1)
    | in(ordered_pair(esk4_1(X1),esk5_1(X1)),esk17_2(esk1_0,X2)) ),
    inference(spm,[status(thm)],[c_0_56,c_0_9]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ in(esk3_1(X1),cartesian_product2(esk1_0,X2))
    | in(esk3_1(X1),X1)
    | in(esk3_1(X1),esk17_2(esk1_0,X2)) ),
    inference(spm,[status(thm)],[c_0_57,c_0_11]) ).

cnf(c_0_59,plain,
    ( esk11_1(X1) != esk12_1(X1)
    | ~ in(X3,esk17_2(X1,X2))
    | esk20_3(X1,X2,X3) = singleton(esk19_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_60,negated_conjecture,
    ( in(esk3_1(X1),X1)
    | in(esk3_1(X1),esk17_2(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_13]) ).

cnf(c_0_61,plain,
    ( esk11_1(X1) != esk12_1(X1)
    | ~ in(X3,esk17_2(X1,X2))
    | in(esk19_3(X1,X2,X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ in(X2,esk17_2(esk1_0,X1))
    | singleton(esk19_3(esk1_0,X1,X2)) = esk20_3(esk1_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_59,c_0_54]) ).

cnf(c_0_63,negated_conjecture,
    in(esk3_1(esk17_2(esk1_0,esk2_0)),esk17_2(esk1_0,esk2_0)),
    inference(ef,[status(thm)],[c_0_60]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ in(X2,esk17_2(esk1_0,X1))
    | in(esk19_3(esk1_0,X1,X2),esk1_0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_54]) ).

cnf(c_0_65,plain,
    ( esk11_1(X1) != esk12_1(X1)
    | ~ in(X3,esk17_2(X1,X2))
    | ordered_pair(esk19_3(X1,X2,X3),esk20_3(X1,X2,X3)) = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_66,plain,
    ( esk11_1(X1) != esk12_1(X1)
    | ~ in(X3,esk17_2(X1,X2))
    | esk18_3(X1,X2,X3) = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_67,negated_conjecture,
    singleton(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0)))) = esk20_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_68,negated_conjecture,
    in(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),esk1_0),
    inference(spm,[status(thm)],[c_0_64,c_0_63]) ).

cnf(c_0_69,negated_conjecture,
    ( ~ in(X2,esk17_2(esk1_0,X1))
    | ordered_pair(esk19_3(esk1_0,X1,X2),esk20_3(esk1_0,X1,X2)) = X2 ),
    inference(spm,[status(thm)],[c_0_65,c_0_54]) ).

cnf(c_0_70,plain,
    ( esk11_1(X1) != esk12_1(X1)
    | ~ in(X3,esk17_2(X1,X2))
    | in(esk18_3(X1,X2,X3),cartesian_product2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_71,negated_conjecture,
    ( ~ in(X2,esk17_2(esk1_0,X1))
    | esk18_3(esk1_0,X1,X2) = X2 ),
    inference(spm,[status(thm)],[c_0_66,c_0_54]) ).

cnf(c_0_72,negated_conjecture,
    ( ~ in(esk3_1(X1),X1)
    | ~ in(esk3_1(X1),cartesian_product2(esk1_0,esk2_0))
    | ordered_pair(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),esk20_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0)))) != esk3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_67]),c_0_68])]) ).

cnf(c_0_73,negated_conjecture,
    ordered_pair(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),esk20_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0)))) = esk3_1(esk17_2(esk1_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_69,c_0_63]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ in(X2,esk17_2(esk1_0,X1))
    | in(esk18_3(esk1_0,X1,X2),cartesian_product2(esk1_0,X1)) ),
    inference(spm,[status(thm)],[c_0_70,c_0_54]) ).

cnf(c_0_75,negated_conjecture,
    esk18_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))) = esk3_1(esk17_2(esk1_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_71,c_0_63]) ).

cnf(c_0_76,negated_conjecture,
    ( ~ in(esk3_1(X1),X1)
    | ~ in(esk3_1(X1),cartesian_product2(esk1_0,esk2_0))
    | esk3_1(esk17_2(esk1_0,esk2_0)) != esk3_1(X1) ),
    inference(rw,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_77,negated_conjecture,
    in(esk3_1(esk17_2(esk1_0,esk2_0)),cartesian_product2(esk1_0,esk2_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_63]),c_0_75]) ).

cnf(c_0_78,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_76]),c_0_77]),c_0_63])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU281+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/30.39  % Computer : n012.cluster.edu
% 0.10/30.39  % Model    : x86_64 x86_64
% 0.10/30.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/30.39  % Memory   : 8046.5625MB
% 0.10/30.39  % OS       : Linux 6.8.0-71-generic
% 0.10/30.39  % CPULimit : 300
% 0.10/30.39  % WCLimit  : 300
% 0.10/30.39  % DateTime : Mon Sep 21 06:07:08 UTC 2026
% 0.10/30.39  % CPUTime  : 
% 0.10/30.39  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/30.43  Running first-order theorem proving
% 0.13/30.43  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/30.60  % Version: 3.5.1
% 0.13/30.60  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/30.60  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/30.60  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/30.60  % Starting new_bool_3 with 300s (1) cores
% 0.13/30.60  % Starting new_bool_1 with 300s (1) cores
% 0.13/30.60  % Starting sh5l with 300s (1) cores
% 0.13/30.60  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1710884 completed with status 0
% 0.13/30.60  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.13/30.60  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/30.60  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/30.60  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/30.60  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/30.60  % No SInE strategy applied
% 0.13/30.60  % Search class: FGHSF-FFMM31-SFFFFFNN
% 0.13/30.60  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/30.60  % Starting SubtermCWHack with 136s (1) cores
% 0.13/30.60  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/30.60  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.13/30.60  % Starting new_bool_3 with 136s (1) cores
% 0.13/30.60  % Starting new_bool_1 with 136s (1) cores
% 0.13/30.60  % G-E--_208_C18_F1_SE_CS_SP_PS_S2g with pid 1710890 completed with status 0
% 0.13/30.60  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2g
% 0.13/30.60  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/30.60  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/30.60  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/30.60  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/30.60  % No SInE strategy applied
% 0.13/30.60  % Search class: FGHSF-FFMM31-SFFFFFNN
% 0.13/30.60  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/30.60  % Starting SubtermCWHack with 136s (1) cores
% 0.13/30.60  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/30.60  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.13/30.60  % Preprocessing time       : 0.002 s
% 0.13/30.60  % Presaturation interreduction done
% 0.13/30.60  
% 0.13/30.60  % Proof found!
% 0.13/30.60  % SZS status Theorem
% 0.13/30.60  % SZS output start CNFRefutation
% See solution above
% 0.13/30.60  % Parsed axioms                        : 15
% 0.13/30.60  % Removed by relevancy pruning/SinE    : 0
% 0.13/30.60  % Initial clauses                      : 80
% 0.13/30.60  % Removed in clause preprocessing      : 3
% 0.13/30.60  % Initial clauses in saturation        : 77
% 0.13/30.60  % Processed clauses                    : 1194
% 0.13/30.60  % ...of these trivial                  : 25
% 0.13/30.60  % ...subsumed                          : 606
% 0.13/30.60  % ...remaining for further processing  : 563
% 0.13/30.60  % Other redundant clauses eliminated   : 28
% 0.13/30.60  % Clauses deleted for lack of memory   : 0
% 0.13/30.60  % Backward-subsumed                    : 35
% 0.13/30.60  % Backward-rewritten                   : 130
% 0.13/30.60  % Generated clauses                    : 5673
% 0.13/30.60  % ...of the previous two non-redundant : 5141
% 0.13/30.60  % ...aggressively subsumed             : 0
% 0.13/30.60  % Contextual simplify-reflections      : 23
% 0.13/30.60  % Paramodulations                      : 5644
% 0.13/30.60  % Factorizations                       : 12
% 0.13/30.60  % NegExts                              : 0
% 0.13/30.60  % Equation resolutions                 : 35
% 0.13/30.60  % Disequality decompositions           : 0
% 0.13/30.60  % Total rewrite steps                  : 1019
% 0.13/30.60  % ...of those cached                   : 999
% 0.13/30.60  % Propositional unsat checks           : 0
% 0.13/30.60  %    Propositional check models        : 0
% 0.13/30.60  %    Propositional check unsatisfiable : 0
% 0.13/30.60  %    Propositional clauses             : 0
% 0.13/30.60  %    Propositional clauses after purity: 0
% 0.13/30.60  %    Propositional unsat core size     : 0
% 0.13/30.60  %    Propositional preprocessing time  : 0.000
% 0.13/30.60  %    Propositional encoding time       : 0.000
% 0.13/30.60  %    Propositional solver time         : 0.000
% 0.13/30.60  %    Success case prop preproc time    : 0.000
% 0.13/30.60  %    Success case prop encoding time   : 0.000
% 0.13/30.60  %    Success case prop solver time     : 0.000
% 0.13/30.60  % Current number of processed clauses  : 311
% 0.13/30.60  %    Positive orientable unit clauses  : 22
% 0.13/30.60  %    Positive unorientable unit clauses: 0
% 0.13/30.60  %    Negative unit clauses             : 9
% 0.13/30.60  %    Non-unit-clauses                  : 280
% 0.13/30.60  % Current number of unprocessed clauses: 3705
% 0.13/30.60  % ...number of literals in the above   : 15664
% 0.13/30.60  % Current number of archived formulas  : 0
% 0.13/30.60  % Current number of archived clauses   : 242
% 0.13/30.60  % Clause-clause subsumption calls (NU) : 19365
% 0.13/30.60  % Rec. Clause-clause subsumption calls : 9239
% 0.13/30.60  % Non-unit clause-clause subsumptions  : 658
% 0.13/30.60  % Unit Clause-clause subsumption calls : 378
% 0.13/30.60  % Rewrite failures with RHS unbound    : 0
% 0.13/30.60  % BW rewrite match attempts            : 9
% 0.13/30.60  % BW rewrite match successes           : 5
% 0.13/30.60  % Condensation attempts                : 0
% 0.13/30.60  % Condensation successes               : 0
% 0.13/30.60  % Termbank termtop insertions          : 156616
% 0.13/30.60  % Search garbage collected termcells   : 614
% 0.13/30.60  
% 0.13/30.60  % -------------------------------------------------
% 0.13/30.60  % User time                : 0.127 s
% 0.13/30.60  % System time              : 0.013 s
% 0.13/30.60  % Total time               : 0.140 s
% 0.13/30.60  % Maximum resident set size: 3392 pages
% 0.13/30.60  
% 0.13/30.60  % -------------------------------------------------
% 0.13/30.60  % User time                : 0.587 s
% 0.13/30.60  % System time              : 0.030 s
% 0.13/30.60  % Total time               : 0.617 s
% 0.13/30.60  % Maximum resident set size: 4608 pages
% 0.13/30.60  % E exiting
%------------------------------------------------------------------------------