TSTP Solution File: NUM858+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUM858+1 : TPTP v7.0.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n119.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.625MB
% OS       : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan  8 15:22:32 EST 2018

% Result   : Theorem 1.90s
% Output   : CNFRefutation 1.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   58
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  185 (  14 unt;   0 def)
%            Number of atoms       :  558 (  70 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  602 ( 229   ~; 311   |;  50   &)
%                                         (   8 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :  290 (   4 sgn 123   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2,X3] :
      ( minsol_model_ub(X1,X2,X3)
    <=> ( model_ub(X1,X2,X3)
        & ! [X4] :
            ( model_ub(X1,X2,X4)
           => lesseq(X3,X4) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp8p3txk/sel_theBenchmark.p_1',minsol_model_ub) ).

fof(2,axiom,
    ! [X1,X2,X3] :
      ( model_max(X1,X2,X3)
    <=> equal(X3,max(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp8p3txk/sel_theBenchmark.p_1',model_max_1) ).

fof(3,axiom,
    ! [X1,X2,X3] :
      ( minsol_model_max(X1,X2,X3)
    <=> ( model_max(X1,X2,X3)
        & ! [X4] :
            ( model_max(X1,X2,X4)
           => lesseq(X3,X4) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp8p3txk/sel_theBenchmark.p_1',minsol_model_max) ).

fof(4,axiom,
    ! [X1,X2,X4] :
      ( ( lesseq(X1,X2)
        & lesseq(X2,X4) )
     => lesseq(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp8p3txk/sel_theBenchmark.p_1',lesseq_trans) ).

fof(6,axiom,
    ! [X1,X2,X3] :
      ( model_ub(X1,X2,X3)
    <=> ub(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp8p3txk/sel_theBenchmark.p_1',model_ub_1) ).

fof(7,axiom,
    ! [X1,X2] :
      ( lesseq(X1,X2)
      | lesseq(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp8p3txk/sel_theBenchmark.p_1',lesseq_total) ).

fof(8,axiom,
    ! [X1,X2] :
      ( equal(max(X1,X2),X2)
      | ~ lesseq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp8p3txk/sel_theBenchmark.p_1',max_2) ).

fof(9,axiom,
    ! [X1] : lesseq(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp8p3txk/sel_theBenchmark.p_1',lesseq_ref) ).

fof(10,axiom,
    ! [X1,X2] :
      ( equal(max(X1,X2),X1)
      | ~ lesseq(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp8p3txk/sel_theBenchmark.p_1',max_1) ).

fof(11,conjecture,
    ! [X1,X2,X4] :
      ( minsol_model_ub(X1,X2,X4)
    <=> minsol_model_max(X1,X2,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp8p3txk/sel_theBenchmark.p_1',max_is_ub_1) ).

fof(12,axiom,
    ! [X1,X2,X4] :
      ( ub(X1,X2,X4)
    <=> ( lesseq(X1,X4)
        & lesseq(X2,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp8p3txk/sel_theBenchmark.p_1',ub) ).

fof(13,axiom,
    ! [X1,X2] :
      ( ( lesseq(X1,X2)
        & lesseq(X2,X1) )
     => equal(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp8p3txk/sel_theBenchmark.p_1',lesseq_antisymmetric) ).

fof(14,axiom,
    ! [X1,X2] :
      ( lesseq(X1,X2)
    <=> lesseq(summation(X1),summation(X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp8p3txk/sel_theBenchmark.p_1',summation_monotone) ).

fof(15,negated_conjecture,
    ~ ! [X1,X2,X4] :
        ( minsol_model_ub(X1,X2,X4)
      <=> minsol_model_max(X1,X2,X4) ),
    inference(assume_negation,[status(cth)],[11]) ).

fof(16,plain,
    ! [X1,X2] :
      ( equal(max(X1,X2),X2)
      | ~ lesseq(X1,X2) ),
    inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).

fof(17,plain,
    ! [X1,X2] :
      ( equal(max(X1,X2),X1)
      | ~ lesseq(X2,X1) ),
    inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).

fof(18,plain,
    ! [X1,X2,X3] :
      ( ( ~ minsol_model_ub(X1,X2,X3)
        | ( model_ub(X1,X2,X3)
          & ! [X4] :
              ( ~ model_ub(X1,X2,X4)
              | lesseq(X3,X4) ) ) )
      & ( ~ model_ub(X1,X2,X3)
        | ? [X4] :
            ( model_ub(X1,X2,X4)
            & ~ lesseq(X3,X4) )
        | minsol_model_ub(X1,X2,X3) ) ),
    inference(fof_nnf,[status(thm)],[1]) ).

fof(19,plain,
    ! [X5,X6,X7] :
      ( ( ~ minsol_model_ub(X5,X6,X7)
        | ( model_ub(X5,X6,X7)
          & ! [X8] :
              ( ~ model_ub(X5,X6,X8)
              | lesseq(X7,X8) ) ) )
      & ( ~ model_ub(X5,X6,X7)
        | ? [X9] :
            ( model_ub(X5,X6,X9)
            & ~ lesseq(X7,X9) )
        | minsol_model_ub(X5,X6,X7) ) ),
    inference(variable_rename,[status(thm)],[18]) ).

fof(20,plain,
    ! [X5,X6,X7] :
      ( ( ~ minsol_model_ub(X5,X6,X7)
        | ( model_ub(X5,X6,X7)
          & ! [X8] :
              ( ~ model_ub(X5,X6,X8)
              | lesseq(X7,X8) ) ) )
      & ( ~ model_ub(X5,X6,X7)
        | ( model_ub(X5,X6,esk1_3(X5,X6,X7))
          & ~ lesseq(X7,esk1_3(X5,X6,X7)) )
        | minsol_model_ub(X5,X6,X7) ) ),
    inference(skolemize,[status(esa)],[19]) ).

fof(21,plain,
    ! [X5,X6,X7,X8] :
      ( ( ( ( ~ model_ub(X5,X6,X8)
            | lesseq(X7,X8) )
          & model_ub(X5,X6,X7) )
        | ~ minsol_model_ub(X5,X6,X7) )
      & ( ~ model_ub(X5,X6,X7)
        | ( model_ub(X5,X6,esk1_3(X5,X6,X7))
          & ~ lesseq(X7,esk1_3(X5,X6,X7)) )
        | minsol_model_ub(X5,X6,X7) ) ),
    inference(shift_quantors,[status(thm)],[20]) ).

fof(22,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ model_ub(X5,X6,X8)
        | lesseq(X7,X8)
        | ~ minsol_model_ub(X5,X6,X7) )
      & ( model_ub(X5,X6,X7)
        | ~ minsol_model_ub(X5,X6,X7) )
      & ( model_ub(X5,X6,esk1_3(X5,X6,X7))
        | ~ model_ub(X5,X6,X7)
        | minsol_model_ub(X5,X6,X7) )
      & ( ~ lesseq(X7,esk1_3(X5,X6,X7))
        | ~ model_ub(X5,X6,X7)
        | minsol_model_ub(X5,X6,X7) ) ),
    inference(distribute,[status(thm)],[21]) ).

cnf(23,plain,
    ( minsol_model_ub(X1,X2,X3)
    | ~ model_ub(X1,X2,X3)
    | ~ lesseq(X3,esk1_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[22]) ).

cnf(24,plain,
    ( minsol_model_ub(X1,X2,X3)
    | model_ub(X1,X2,esk1_3(X1,X2,X3))
    | ~ model_ub(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[22]) ).

cnf(25,plain,
    ( model_ub(X1,X2,X3)
    | ~ minsol_model_ub(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[22]) ).

cnf(26,plain,
    ( lesseq(X3,X4)
    | ~ minsol_model_ub(X1,X2,X3)
    | ~ model_ub(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[22]) ).

fof(27,plain,
    ! [X1,X2,X3] :
      ( ( ~ model_max(X1,X2,X3)
        | equal(X3,max(X1,X2)) )
      & ( ~ equal(X3,max(X1,X2))
        | model_max(X1,X2,X3) ) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(28,plain,
    ! [X4,X5,X6] :
      ( ( ~ model_max(X4,X5,X6)
        | equal(X6,max(X4,X5)) )
      & ( ~ equal(X6,max(X4,X5))
        | model_max(X4,X5,X6) ) ),
    inference(variable_rename,[status(thm)],[27]) ).

cnf(29,plain,
    ( model_max(X1,X2,X3)
    | X3 != max(X1,X2) ),
    inference(split_conjunct,[status(thm)],[28]) ).

cnf(30,plain,
    ( X1 = max(X2,X3)
    | ~ model_max(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[28]) ).

fof(31,plain,
    ! [X1,X2,X3] :
      ( ( ~ minsol_model_max(X1,X2,X3)
        | ( model_max(X1,X2,X3)
          & ! [X4] :
              ( ~ model_max(X1,X2,X4)
              | lesseq(X3,X4) ) ) )
      & ( ~ model_max(X1,X2,X3)
        | ? [X4] :
            ( model_max(X1,X2,X4)
            & ~ lesseq(X3,X4) )
        | minsol_model_max(X1,X2,X3) ) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(32,plain,
    ! [X5,X6,X7] :
      ( ( ~ minsol_model_max(X5,X6,X7)
        | ( model_max(X5,X6,X7)
          & ! [X8] :
              ( ~ model_max(X5,X6,X8)
              | lesseq(X7,X8) ) ) )
      & ( ~ model_max(X5,X6,X7)
        | ? [X9] :
            ( model_max(X5,X6,X9)
            & ~ lesseq(X7,X9) )
        | minsol_model_max(X5,X6,X7) ) ),
    inference(variable_rename,[status(thm)],[31]) ).

fof(33,plain,
    ! [X5,X6,X7] :
      ( ( ~ minsol_model_max(X5,X6,X7)
        | ( model_max(X5,X6,X7)
          & ! [X8] :
              ( ~ model_max(X5,X6,X8)
              | lesseq(X7,X8) ) ) )
      & ( ~ model_max(X5,X6,X7)
        | ( model_max(X5,X6,esk2_3(X5,X6,X7))
          & ~ lesseq(X7,esk2_3(X5,X6,X7)) )
        | minsol_model_max(X5,X6,X7) ) ),
    inference(skolemize,[status(esa)],[32]) ).

fof(34,plain,
    ! [X5,X6,X7,X8] :
      ( ( ( ( ~ model_max(X5,X6,X8)
            | lesseq(X7,X8) )
          & model_max(X5,X6,X7) )
        | ~ minsol_model_max(X5,X6,X7) )
      & ( ~ model_max(X5,X6,X7)
        | ( model_max(X5,X6,esk2_3(X5,X6,X7))
          & ~ lesseq(X7,esk2_3(X5,X6,X7)) )
        | minsol_model_max(X5,X6,X7) ) ),
    inference(shift_quantors,[status(thm)],[33]) ).

fof(35,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ model_max(X5,X6,X8)
        | lesseq(X7,X8)
        | ~ minsol_model_max(X5,X6,X7) )
      & ( model_max(X5,X6,X7)
        | ~ minsol_model_max(X5,X6,X7) )
      & ( model_max(X5,X6,esk2_3(X5,X6,X7))
        | ~ model_max(X5,X6,X7)
        | minsol_model_max(X5,X6,X7) )
      & ( ~ lesseq(X7,esk2_3(X5,X6,X7))
        | ~ model_max(X5,X6,X7)
        | minsol_model_max(X5,X6,X7) ) ),
    inference(distribute,[status(thm)],[34]) ).

cnf(36,plain,
    ( minsol_model_max(X1,X2,X3)
    | ~ model_max(X1,X2,X3)
    | ~ lesseq(X3,esk2_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[35]) ).

cnf(37,plain,
    ( minsol_model_max(X1,X2,X3)
    | model_max(X1,X2,esk2_3(X1,X2,X3))
    | ~ model_max(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[35]) ).

cnf(38,plain,
    ( model_max(X1,X2,X3)
    | ~ minsol_model_max(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[35]) ).

cnf(39,plain,
    ( lesseq(X3,X4)
    | ~ minsol_model_max(X1,X2,X3)
    | ~ model_max(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[35]) ).

fof(40,plain,
    ! [X1,X2,X4] :
      ( ~ lesseq(X1,X2)
      | ~ lesseq(X2,X4)
      | lesseq(X1,X4) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(41,plain,
    ! [X5,X6,X7] :
      ( ~ lesseq(X5,X6)
      | ~ lesseq(X6,X7)
      | lesseq(X5,X7) ),
    inference(variable_rename,[status(thm)],[40]) ).

cnf(42,plain,
    ( lesseq(X1,X2)
    | ~ lesseq(X3,X2)
    | ~ lesseq(X1,X3) ),
    inference(split_conjunct,[status(thm)],[41]) ).

fof(47,plain,
    ! [X1,X2,X3] :
      ( ( ~ model_ub(X1,X2,X3)
        | ub(X1,X2,X3) )
      & ( ~ ub(X1,X2,X3)
        | model_ub(X1,X2,X3) ) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(48,plain,
    ! [X4,X5,X6] :
      ( ( ~ model_ub(X4,X5,X6)
        | ub(X4,X5,X6) )
      & ( ~ ub(X4,X5,X6)
        | model_ub(X4,X5,X6) ) ),
    inference(variable_rename,[status(thm)],[47]) ).

cnf(49,plain,
    ( model_ub(X1,X2,X3)
    | ~ ub(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[48]) ).

cnf(50,plain,
    ( ub(X1,X2,X3)
    | ~ model_ub(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[48]) ).

fof(51,plain,
    ! [X3,X4] :
      ( lesseq(X3,X4)
      | lesseq(X4,X3) ),
    inference(variable_rename,[status(thm)],[7]) ).

cnf(52,plain,
    ( lesseq(X1,X2)
    | lesseq(X2,X1) ),
    inference(split_conjunct,[status(thm)],[51]) ).

fof(53,plain,
    ! [X3,X4] :
      ( equal(max(X3,X4),X4)
      | ~ lesseq(X3,X4) ),
    inference(variable_rename,[status(thm)],[16]) ).

cnf(54,plain,
    ( max(X1,X2) = X2
    | ~ lesseq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[53]) ).

fof(55,plain,
    ! [X2] : lesseq(X2,X2),
    inference(variable_rename,[status(thm)],[9]) ).

cnf(56,plain,
    lesseq(X1,X1),
    inference(split_conjunct,[status(thm)],[55]) ).

fof(57,plain,
    ! [X3,X4] :
      ( equal(max(X3,X4),X3)
      | ~ lesseq(X4,X3) ),
    inference(variable_rename,[status(thm)],[17]) ).

cnf(58,plain,
    ( max(X2,X1) = X2
    | ~ lesseq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[57]) ).

fof(59,negated_conjecture,
    ? [X1,X2,X4] :
      ( ( ~ minsol_model_ub(X1,X2,X4)
        | ~ minsol_model_max(X1,X2,X4) )
      & ( minsol_model_ub(X1,X2,X4)
        | minsol_model_max(X1,X2,X4) ) ),
    inference(fof_nnf,[status(thm)],[15]) ).

fof(60,negated_conjecture,
    ? [X5,X6,X7] :
      ( ( ~ minsol_model_ub(X5,X6,X7)
        | ~ minsol_model_max(X5,X6,X7) )
      & ( minsol_model_ub(X5,X6,X7)
        | minsol_model_max(X5,X6,X7) ) ),
    inference(variable_rename,[status(thm)],[59]) ).

fof(61,negated_conjecture,
    ( ( ~ minsol_model_ub(esk3_0,esk4_0,esk5_0)
      | ~ minsol_model_max(esk3_0,esk4_0,esk5_0) )
    & ( minsol_model_ub(esk3_0,esk4_0,esk5_0)
      | minsol_model_max(esk3_0,esk4_0,esk5_0) ) ),
    inference(skolemize,[status(esa)],[60]) ).

cnf(62,negated_conjecture,
    ( minsol_model_max(esk3_0,esk4_0,esk5_0)
    | minsol_model_ub(esk3_0,esk4_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[61]) ).

cnf(63,negated_conjecture,
    ( ~ minsol_model_max(esk3_0,esk4_0,esk5_0)
    | ~ minsol_model_ub(esk3_0,esk4_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[61]) ).

fof(64,plain,
    ! [X1,X2,X4] :
      ( ( ~ ub(X1,X2,X4)
        | ( lesseq(X1,X4)
          & lesseq(X2,X4) ) )
      & ( ~ lesseq(X1,X4)
        | ~ lesseq(X2,X4)
        | ub(X1,X2,X4) ) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(65,plain,
    ! [X5,X6,X7] :
      ( ( ~ ub(X5,X6,X7)
        | ( lesseq(X5,X7)
          & lesseq(X6,X7) ) )
      & ( ~ lesseq(X5,X7)
        | ~ lesseq(X6,X7)
        | ub(X5,X6,X7) ) ),
    inference(variable_rename,[status(thm)],[64]) ).

fof(66,plain,
    ! [X5,X6,X7] :
      ( ( lesseq(X5,X7)
        | ~ ub(X5,X6,X7) )
      & ( lesseq(X6,X7)
        | ~ ub(X5,X6,X7) )
      & ( ~ lesseq(X5,X7)
        | ~ lesseq(X6,X7)
        | ub(X5,X6,X7) ) ),
    inference(distribute,[status(thm)],[65]) ).

cnf(67,plain,
    ( ub(X1,X2,X3)
    | ~ lesseq(X2,X3)
    | ~ lesseq(X1,X3) ),
    inference(split_conjunct,[status(thm)],[66]) ).

cnf(68,plain,
    ( lesseq(X2,X3)
    | ~ ub(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[66]) ).

cnf(69,plain,
    ( lesseq(X1,X3)
    | ~ ub(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[66]) ).

fof(70,plain,
    ! [X1,X2] :
      ( ~ lesseq(X1,X2)
      | ~ lesseq(X2,X1)
      | equal(X1,X2) ),
    inference(fof_nnf,[status(thm)],[13]) ).

fof(71,plain,
    ! [X3,X4] :
      ( ~ lesseq(X3,X4)
      | ~ lesseq(X4,X3)
      | equal(X3,X4) ),
    inference(variable_rename,[status(thm)],[70]) ).

cnf(72,plain,
    ( X1 = X2
    | ~ lesseq(X2,X1)
    | ~ lesseq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[71]) ).

fof(73,plain,
    ! [X1,X2] :
      ( ( ~ lesseq(X1,X2)
        | lesseq(summation(X1),summation(X2)) )
      & ( ~ lesseq(summation(X1),summation(X2))
        | lesseq(X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[14]) ).

fof(74,plain,
    ! [X3,X4] :
      ( ( ~ lesseq(X3,X4)
        | lesseq(summation(X3),summation(X4)) )
      & ( ~ lesseq(summation(X3),summation(X4))
        | lesseq(X3,X4) ) ),
    inference(variable_rename,[status(thm)],[73]) ).

cnf(75,plain,
    ( lesseq(X1,X2)
    | ~ lesseq(summation(X1),summation(X2)) ),
    inference(split_conjunct,[status(thm)],[74]) ).

cnf(76,plain,
    ( lesseq(summation(X1),summation(X2))
    | ~ lesseq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[74]) ).

cnf(82,negated_conjecture,
    ( model_max(esk3_0,esk4_0,esk5_0)
    | minsol_model_ub(esk3_0,esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[38,62,theory(equality)]) ).

cnf(84,plain,
    model_max(X1,X2,max(X1,X2)),
    inference(er,[status(thm)],[29,theory(equality)]) ).

cnf(91,plain,
    ( lesseq(X1,X2)
    | ~ model_ub(X3,X1,X2) ),
    inference(spm,[status(thm)],[68,50,theory(equality)]) ).

cnf(92,plain,
    ( lesseq(X1,X2)
    | ~ model_ub(X1,X3,X2) ),
    inference(spm,[status(thm)],[69,50,theory(equality)]) ).

cnf(94,plain,
    ( summation(X1) = summation(X2)
    | ~ lesseq(summation(X1),summation(X2))
    | ~ lesseq(X2,X1) ),
    inference(spm,[status(thm)],[72,76,theory(equality)]) ).

cnf(96,plain,
    ( lesseq(X1,X2)
    | lesseq(summation(X2),summation(X1)) ),
    inference(spm,[status(thm)],[75,52,theory(equality)]) ).

cnf(101,plain,
    ( lesseq(X1,X2)
    | lesseq(X2,X3)
    | ~ lesseq(X1,X3) ),
    inference(spm,[status(thm)],[42,52,theory(equality)]) ).

cnf(103,plain,
    ( lesseq(X1,summation(X2))
    | ~ lesseq(X1,summation(X3))
    | ~ lesseq(X3,X2) ),
    inference(spm,[status(thm)],[42,76,theory(equality)]) ).

cnf(104,negated_conjecture,
    ( lesseq(esk5_0,X1)
    | minsol_model_ub(esk3_0,esk4_0,esk5_0)
    | ~ model_max(esk3_0,esk4_0,X1) ),
    inference(spm,[status(thm)],[39,62,theory(equality)]) ).

cnf(107,plain,
    ( model_ub(X1,X2,X3)
    | ~ lesseq(X2,X3)
    | ~ lesseq(X1,X3) ),
    inference(spm,[status(thm)],[49,67,theory(equality)]) ).

cnf(116,plain,
    ( max(X1,X2) = esk2_3(X1,X2,X3)
    | minsol_model_max(X1,X2,X3)
    | ~ model_max(X1,X2,X3) ),
    inference(spm,[status(thm)],[30,37,theory(equality)]) ).

cnf(119,negated_conjecture,
    ( model_ub(esk3_0,esk4_0,esk5_0)
    | model_max(esk3_0,esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[25,82,theory(equality)]) ).

cnf(125,plain,
    ( lesseq(X1,esk1_3(X2,X1,X3))
    | minsol_model_ub(X2,X1,X3)
    | ~ model_ub(X2,X1,X3) ),
    inference(spm,[status(thm)],[91,24,theory(equality)]) ).

cnf(126,negated_conjecture,
    ( lesseq(esk4_0,esk5_0)
    | model_max(esk3_0,esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[91,119,theory(equality)]) ).

cnf(127,negated_conjecture,
    ( max(esk3_0,esk4_0) = esk5_0
    | lesseq(esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[30,126,theory(equality)]) ).

cnf(132,plain,
    ( lesseq(X1,esk1_3(X1,X2,X3))
    | minsol_model_ub(X1,X2,X3)
    | ~ model_ub(X1,X2,X3) ),
    inference(spm,[status(thm)],[92,24,theory(equality)]) ).

cnf(133,negated_conjecture,
    ( lesseq(esk3_0,esk5_0)
    | model_max(esk3_0,esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[92,119,theory(equality)]) ).

cnf(134,negated_conjecture,
    ( max(esk3_0,esk4_0) = esk5_0
    | lesseq(esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[30,133,theory(equality)]) ).

cnf(136,negated_conjecture,
    ( esk5_0 = esk3_0
    | lesseq(esk3_0,esk5_0)
    | ~ lesseq(esk4_0,esk3_0) ),
    inference(spm,[status(thm)],[58,134,theory(equality)]) ).

cnf(141,plain,
    ( summation(X1) = summation(X2)
    | ~ lesseq(X2,X1)
    | ~ lesseq(X1,X2) ),
    inference(spm,[status(thm)],[94,76,theory(equality)]) ).

cnf(232,plain,
    ( lesseq(summation(X1),summation(X2))
    | ~ lesseq(X3,X2)
    | ~ lesseq(X1,X3) ),
    inference(spm,[status(thm)],[103,76,theory(equality)]) ).

cnf(259,negated_conjecture,
    ( lesseq(esk5_0,max(esk3_0,esk4_0))
    | minsol_model_ub(esk3_0,esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[104,84,theory(equality)]) ).

cnf(271,negated_conjecture,
    ( max(esk3_0,esk4_0) = esk5_0
    | minsol_model_ub(esk3_0,esk4_0,esk5_0)
    | ~ lesseq(max(esk3_0,esk4_0),esk5_0) ),
    inference(spm,[status(thm)],[72,259,theory(equality)]) ).

cnf(275,negated_conjecture,
    ( lesseq(X1,max(esk3_0,esk4_0))
    | lesseq(esk5_0,X1)
    | minsol_model_ub(esk3_0,esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[101,259,theory(equality)]) ).

cnf(286,negated_conjecture,
    ( max(esk3_0,esk4_0) = X1
    | lesseq(esk5_0,X1)
    | minsol_model_ub(esk3_0,esk4_0,esk5_0)
    | ~ lesseq(max(esk3_0,esk4_0),X1) ),
    inference(spm,[status(thm)],[72,275,theory(equality)]) ).

cnf(292,plain,
    ( lesseq(X1,X2)
    | ~ minsol_model_ub(X3,X4,X1)
    | ~ lesseq(X4,X2)
    | ~ lesseq(X3,X2) ),
    inference(spm,[status(thm)],[26,107,theory(equality)]) ).

cnf(410,negated_conjecture,
    ( esk3_0 = esk5_0
    | minsol_model_ub(esk3_0,esk4_0,esk5_0)
    | ~ lesseq(esk3_0,esk5_0)
    | ~ lesseq(esk4_0,esk3_0) ),
    inference(spm,[status(thm)],[271,58,theory(equality)]) ).

cnf(418,negated_conjecture,
    ( esk5_0 = esk3_0
    | minsol_model_ub(esk3_0,esk4_0,esk5_0)
    | ~ lesseq(esk4_0,esk3_0) ),
    inference(csr,[status(thm)],[410,136]) ).

cnf(429,plain,
    ( minsol_model_max(X1,X2,X3)
    | ~ model_max(X1,X2,X3)
    | ~ lesseq(X3,max(X1,X2)) ),
    inference(spm,[status(thm)],[36,116,theory(equality)]) ).

cnf(481,plain,
    ( lesseq(X1,esk1_3(X2,X3,X4))
    | minsol_model_ub(X2,X3,X4)
    | ~ lesseq(X1,X3)
    | ~ model_ub(X2,X3,X4) ),
    inference(spm,[status(thm)],[42,125,theory(equality)]) ).

cnf(532,plain,
    ( minsol_model_ub(X1,X2,X1)
    | ~ model_ub(X1,X2,X1) ),
    inference(spm,[status(thm)],[23,132,theory(equality)]) ).

cnf(2597,plain,
    ( minsol_model_max(X1,X2,max(X1,X2))
    | ~ model_max(X1,X2,max(X1,X2)) ),
    inference(spm,[status(thm)],[429,56,theory(equality)]) ).

cnf(2638,plain,
    ( minsol_model_max(X1,X2,max(X1,X2))
    | $false ),
    inference(rw,[status(thm)],[2597,84,theory(equality)]) ).

cnf(2639,plain,
    minsol_model_max(X1,X2,max(X1,X2)),
    inference(cn,[status(thm)],[2638,theory(equality)]) ).

cnf(2641,plain,
    ( minsol_model_max(X1,X2,X1)
    | ~ lesseq(X2,X1) ),
    inference(spm,[status(thm)],[2639,58,theory(equality)]) ).

cnf(2642,plain,
    ( minsol_model_max(X1,X2,X2)
    | ~ lesseq(X1,X2) ),
    inference(spm,[status(thm)],[2639,54,theory(equality)]) ).

cnf(2643,plain,
    ( lesseq(max(X1,X2),X3)
    | ~ model_max(X1,X2,X3) ),
    inference(spm,[status(thm)],[39,2639,theory(equality)]) ).

cnf(2644,negated_conjecture,
    ( minsol_model_max(esk3_0,esk4_0,esk5_0)
    | lesseq(esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[2639,127,theory(equality)]) ).

cnf(2647,negated_conjecture,
    ( lesseq(esk4_0,esk5_0)
    | ~ minsol_model_ub(esk3_0,esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[63,2644,theory(equality)]) ).

cnf(2654,plain,
    ( lesseq(X1,X2)
    | ~ model_max(X1,X3,X2)
    | ~ lesseq(X3,X1) ),
    inference(spm,[status(thm)],[39,2641,theory(equality)]) ).

cnf(2773,plain,
    ( lesseq(X1,X2)
    | ~ model_max(X3,X1,X2)
    | ~ lesseq(X3,X1) ),
    inference(spm,[status(thm)],[39,2642,theory(equality)]) ).

cnf(2787,negated_conjecture,
    ( max(esk3_0,esk4_0) = esk5_0
    | minsol_model_ub(esk3_0,esk4_0,esk5_0)
    | ~ model_max(esk3_0,esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[271,2643,theory(equality)]) ).

cnf(2804,negated_conjecture,
    ( max(esk3_0,esk4_0) = esk5_0
    | minsol_model_ub(esk3_0,esk4_0,esk5_0) ),
    inference(csr,[status(thm)],[2787,82]) ).

cnf(3169,negated_conjecture,
    ( lesseq(esk3_0,esk5_0)
    | ~ lesseq(esk4_0,esk3_0) ),
    inference(spm,[status(thm)],[2654,133,theory(equality)]) ).

cnf(3188,negated_conjecture,
    ( lesseq(esk3_0,esk5_0)
    | lesseq(esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[3169,52,theory(equality)]) ).

cnf(3959,negated_conjecture,
    ( lesseq(esk5_0,X1)
    | esk5_0 = esk3_0
    | ~ lesseq(esk4_0,X1)
    | ~ lesseq(esk3_0,X1)
    | ~ lesseq(esk4_0,esk3_0) ),
    inference(spm,[status(thm)],[292,418,theory(equality)]) ).

cnf(4003,plain,
    ( lesseq(X1,max(X2,X1))
    | ~ lesseq(X2,X1) ),
    inference(spm,[status(thm)],[2773,84,theory(equality)]) ).

cnf(4008,negated_conjecture,
    ( lesseq(esk4_0,esk5_0)
    | lesseq(esk3_0,esk5_0)
    | ~ lesseq(esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[2773,133,theory(equality)]) ).

cnf(4033,negated_conjecture,
    ( lesseq(esk4_0,esk5_0)
    | lesseq(esk3_0,esk5_0) ),
    inference(csr,[status(thm)],[4008,3188]) ).

cnf(4036,negated_conjecture,
    ( lesseq(X1,esk5_0)
    | lesseq(esk4_0,X1)
    | lesseq(esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[101,4033,theory(equality)]) ).

cnf(4078,negated_conjecture,
    ( lesseq(esk4_0,esk5_0)
    | minsol_model_ub(esk3_0,esk4_0,esk5_0)
    | ~ lesseq(esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[4003,2804,theory(equality)]) ).

cnf(4154,negated_conjecture,
    lesseq(esk3_0,esk5_0),
    inference(spm,[status(thm)],[3169,4036,theory(equality)]) ).

cnf(4163,negated_conjecture,
    ( esk5_0 = esk3_0
    | ~ lesseq(esk5_0,esk3_0) ),
    inference(spm,[status(thm)],[72,4154,theory(equality)]) ).

cnf(4165,negated_conjecture,
    ( lesseq(X1,esk5_0)
    | lesseq(esk3_0,X1) ),
    inference(spm,[status(thm)],[101,4154,theory(equality)]) ).

cnf(4166,negated_conjecture,
    ( summation(esk5_0) = summation(esk3_0)
    | ~ lesseq(esk5_0,esk3_0) ),
    inference(spm,[status(thm)],[141,4154,theory(equality)]) ).

cnf(4170,negated_conjecture,
    ( lesseq(summation(X1),summation(esk5_0))
    | ~ lesseq(X1,esk3_0) ),
    inference(spm,[status(thm)],[232,4154,theory(equality)]) ).

cnf(4250,negated_conjecture,
    ( lesseq(esk4_0,esk5_0)
    | minsol_model_ub(esk3_0,esk4_0,esk5_0) ),
    inference(csr,[status(thm)],[4078,4165]) ).

cnf(4251,negated_conjecture,
    lesseq(esk4_0,esk5_0),
    inference(csr,[status(thm)],[4250,2647]) ).

cnf(4252,negated_conjecture,
    ( esk5_0 = esk4_0
    | ~ lesseq(esk5_0,esk4_0) ),
    inference(spm,[status(thm)],[72,4251,theory(equality)]) ).

cnf(4722,negated_conjecture,
    ( lesseq(summation(esk3_0),summation(esk5_0))
    | ~ lesseq(esk5_0,esk3_0) ),
    inference(spm,[status(thm)],[4170,4166,theory(equality)]) ).

cnf(5786,negated_conjecture,
    lesseq(summation(esk3_0),summation(esk5_0)),
    inference(csr,[status(thm)],[4722,96]) ).

cnf(5792,negated_conjecture,
    ( lesseq(summation(esk3_0),summation(X1))
    | ~ lesseq(esk5_0,X1) ),
    inference(spm,[status(thm)],[103,5786,theory(equality)]) ).

cnf(6431,negated_conjecture,
    ( lesseq(esk3_0,X1)
    | ~ lesseq(esk5_0,X1) ),
    inference(spm,[status(thm)],[75,5792,theory(equality)]) ).

cnf(6668,negated_conjecture,
    ( lesseq(esk3_0,max(esk3_0,esk4_0))
    | minsol_model_ub(esk3_0,esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[6431,259,theory(equality)]) ).

cnf(6721,negated_conjecture,
    ( lesseq(X1,max(esk3_0,esk4_0))
    | lesseq(esk3_0,X1)
    | minsol_model_ub(esk3_0,esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[101,6668,theory(equality)]) ).

cnf(16878,plain,
    ( minsol_model_ub(X1,X2,X3)
    | ~ model_ub(X1,X2,X3)
    | ~ lesseq(X3,X2) ),
    inference(spm,[status(thm)],[23,481,theory(equality)]) ).

cnf(58203,negated_conjecture,
    ( esk5_0 = esk3_0
    | lesseq(esk5_0,X1)
    | ~ lesseq(esk4_0,esk3_0)
    | ~ lesseq(esk3_0,X1) ),
    inference(csr,[status(thm)],[3959,42]) ).

cnf(58225,negated_conjecture,
    ( esk5_0 = esk3_0
    | ~ lesseq(esk4_0,esk3_0)
    | ~ lesseq(esk3_0,esk3_0) ),
    inference(spm,[status(thm)],[4163,58203,theory(equality)]) ).

cnf(58309,negated_conjecture,
    ( esk5_0 = esk3_0
    | ~ lesseq(esk4_0,esk3_0)
    | $false ),
    inference(rw,[status(thm)],[58225,56,theory(equality)]) ).

cnf(58310,negated_conjecture,
    ( esk5_0 = esk3_0
    | ~ lesseq(esk4_0,esk3_0) ),
    inference(cn,[status(thm)],[58309,theory(equality)]) ).

cnf(58337,negated_conjecture,
    ( esk5_0 = esk3_0
    | lesseq(esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[58310,52,theory(equality)]) ).

cnf(58355,negated_conjecture,
    ( lesseq(X1,esk4_0)
    | esk5_0 = esk3_0
    | ~ lesseq(X1,esk3_0) ),
    inference(spm,[status(thm)],[42,58337,theory(equality)]) ).

cnf(58356,negated_conjecture,
    ( lesseq(X1,esk4_0)
    | lesseq(esk3_0,X1)
    | esk5_0 = esk3_0 ),
    inference(spm,[status(thm)],[101,58337,theory(equality)]) ).

cnf(58424,negated_conjecture,
    ( esk4_0 = X1
    | esk5_0 = esk3_0
    | lesseq(esk3_0,X1)
    | ~ lesseq(esk4_0,X1) ),
    inference(spm,[status(thm)],[72,58356,theory(equality)]) ).

cnf(58935,negated_conjecture,
    ( esk4_0 = X1
    | esk5_0 = esk3_0
    | ~ lesseq(esk4_0,X1)
    | ~ lesseq(X1,esk3_0) ),
    inference(spm,[status(thm)],[72,58355,theory(equality)]) ).

cnf(61380,negated_conjecture,
    ( esk5_0 = esk3_0
    | esk4_0 = max(esk3_0,esk4_0)
    | lesseq(esk3_0,max(esk3_0,esk4_0))
    | lesseq(esk3_0,esk4_0)
    | minsol_model_ub(esk3_0,esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[58424,6721,theory(equality)]) ).

cnf(71141,negated_conjecture,
    ( max(esk3_0,esk4_0) = esk4_0
    | esk5_0 = esk3_0
    | lesseq(esk3_0,max(esk3_0,esk4_0))
    | lesseq(esk3_0,esk4_0) ),
    inference(csr,[status(thm)],[61380,58337]) ).

cnf(71142,negated_conjecture,
    ( max(esk3_0,esk4_0) = esk4_0
    | esk5_0 = esk3_0
    | lesseq(esk3_0,max(esk3_0,esk4_0)) ),
    inference(csr,[status(thm)],[71141,54]) ).

cnf(71146,negated_conjecture,
    ( lesseq(X1,max(esk3_0,esk4_0))
    | lesseq(esk3_0,X1)
    | max(esk3_0,esk4_0) = esk4_0
    | esk5_0 = esk3_0 ),
    inference(spm,[status(thm)],[101,71142,theory(equality)]) ).

cnf(72880,negated_conjecture,
    ( esk5_0 = esk3_0
    | esk4_0 = max(esk3_0,esk4_0)
    | lesseq(esk3_0,esk4_0)
    | ~ lesseq(max(esk3_0,esk4_0),esk3_0) ),
    inference(spm,[status(thm)],[58935,71146,theory(equality)]) ).

cnf(83779,negated_conjecture,
    ( max(esk3_0,esk4_0) = esk4_0
    | esk5_0 = esk3_0
    | lesseq(esk3_0,esk4_0) ),
    inference(csr,[status(thm)],[72880,58337]) ).

cnf(83780,negated_conjecture,
    ( max(esk3_0,esk4_0) = esk4_0
    | esk5_0 = esk3_0 ),
    inference(csr,[status(thm)],[83779,54]) ).

cnf(83784,negated_conjecture,
    ( model_max(esk3_0,esk4_0,X1)
    | esk5_0 = esk3_0
    | esk4_0 != X1 ),
    inference(spm,[status(thm)],[29,83780,theory(equality)]) ).

cnf(83791,negated_conjecture,
    ( minsol_model_max(esk3_0,esk4_0,X1)
    | esk5_0 = esk3_0
    | ~ model_max(esk3_0,esk4_0,X1)
    | ~ lesseq(X1,esk4_0) ),
    inference(spm,[status(thm)],[429,83780,theory(equality)]) ).

cnf(83795,negated_conjecture,
    ( esk4_0 = X1
    | lesseq(esk5_0,X1)
    | minsol_model_ub(esk3_0,esk4_0,esk5_0)
    | esk5_0 = esk3_0
    | ~ lesseq(esk4_0,X1) ),
    inference(spm,[status(thm)],[286,83780,theory(equality)]) ).

cnf(84973,negated_conjecture,
    ( lesseq(esk5_0,X1)
    | minsol_model_ub(esk3_0,esk4_0,esk5_0)
    | esk5_0 = esk3_0
    | esk4_0 != X1 ),
    inference(spm,[status(thm)],[104,83784,theory(equality)]) ).

cnf(88168,negated_conjecture,
    ( esk5_0 = esk3_0
    | ~ minsol_model_ub(esk3_0,esk4_0,esk5_0)
    | ~ model_max(esk3_0,esk4_0,esk5_0)
    | ~ lesseq(esk5_0,esk4_0) ),
    inference(spm,[status(thm)],[63,83791,theory(equality)]) ).

cnf(88176,negated_conjecture,
    ( esk5_0 = esk3_0
    | ~ model_max(esk3_0,esk4_0,esk5_0)
    | ~ lesseq(esk5_0,esk4_0)
    | ~ model_ub(esk3_0,esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[88168,16878,theory(equality)]) ).

cnf(90062,negated_conjecture,
    ( esk5_0 = esk3_0
    | ~ model_max(esk3_0,esk4_0,esk5_0)
    | ~ lesseq(esk5_0,esk4_0)
    | ~ lesseq(esk4_0,esk5_0)
    | ~ lesseq(esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[88176,107,theory(equality)]) ).

cnf(90070,negated_conjecture,
    ( esk5_0 = esk3_0
    | ~ model_max(esk3_0,esk4_0,esk5_0)
    | ~ lesseq(esk5_0,esk4_0)
    | $false
    | ~ lesseq(esk3_0,esk5_0) ),
    inference(rw,[status(thm)],[90062,4251,theory(equality)]) ).

cnf(90071,negated_conjecture,
    ( esk5_0 = esk3_0
    | ~ model_max(esk3_0,esk4_0,esk5_0)
    | ~ lesseq(esk5_0,esk4_0)
    | $false
    | $false ),
    inference(rw,[status(thm)],[90070,4154,theory(equality)]) ).

cnf(90072,negated_conjecture,
    ( esk5_0 = esk3_0
    | ~ model_max(esk3_0,esk4_0,esk5_0)
    | ~ lesseq(esk5_0,esk4_0) ),
    inference(cn,[status(thm)],[90071,theory(equality)]) ).

cnf(90073,negated_conjecture,
    ( esk5_0 = esk3_0
    | ~ lesseq(esk5_0,esk4_0)
    | esk4_0 != esk5_0 ),
    inference(spm,[status(thm)],[90072,83784,theory(equality)]) ).

cnf(90074,negated_conjecture,
    ( esk5_0 = esk3_0
    | ~ lesseq(esk5_0,esk4_0) ),
    inference(csr,[status(thm)],[90073,4252]) ).

cnf(92721,negated_conjecture,
    ( esk5_0 = esk3_0
    | lesseq(esk5_0,X1)
    | minsol_model_ub(esk3_0,esk4_0,esk5_0)
    | ~ lesseq(esk4_0,X1) ),
    inference(csr,[status(thm)],[83795,84973]) ).

cnf(92722,negated_conjecture,
    ( esk5_0 = esk3_0
    | lesseq(esk5_0,esk4_0)
    | minsol_model_ub(esk3_0,esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[92721,56,theory(equality)]) ).

cnf(92957,negated_conjecture,
    ( esk5_0 = esk3_0
    | minsol_model_ub(esk3_0,esk4_0,esk5_0) ),
    inference(csr,[status(thm)],[92722,90074]) ).

cnf(92963,negated_conjecture,
    ( lesseq(esk5_0,X1)
    | esk5_0 = esk3_0
    | ~ lesseq(esk4_0,X1)
    | ~ lesseq(esk3_0,X1) ),
    inference(spm,[status(thm)],[292,92957,theory(equality)]) ).

cnf(93849,negated_conjecture,
    ( esk5_0 = esk3_0
    | ~ lesseq(esk4_0,esk4_0)
    | ~ lesseq(esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[90074,92963,theory(equality)]) ).

cnf(93917,negated_conjecture,
    ( esk5_0 = esk3_0
    | $false
    | ~ lesseq(esk3_0,esk4_0) ),
    inference(rw,[status(thm)],[93849,56,theory(equality)]) ).

cnf(93918,negated_conjecture,
    ( esk5_0 = esk3_0
    | ~ lesseq(esk3_0,esk4_0) ),
    inference(cn,[status(thm)],[93917,theory(equality)]) ).

cnf(93919,negated_conjecture,
    esk5_0 = esk3_0,
    inference(csr,[status(thm)],[93918,58337]) ).

cnf(93926,negated_conjecture,
    lesseq(esk4_0,esk3_0),
    inference(rw,[status(thm)],[4251,93919,theory(equality)]) ).

cnf(94854,negated_conjecture,
    ( ~ minsol_model_max(esk3_0,esk4_0,esk3_0)
    | ~ minsol_model_ub(esk3_0,esk4_0,esk5_0) ),
    inference(rw,[status(thm)],[63,93919,theory(equality)]) ).

cnf(94855,negated_conjecture,
    ( ~ minsol_model_max(esk3_0,esk4_0,esk3_0)
    | ~ minsol_model_ub(esk3_0,esk4_0,esk3_0) ),
    inference(rw,[status(thm)],[94854,93919,theory(equality)]) ).

cnf(95071,negated_conjecture,
    ( ~ minsol_model_ub(esk3_0,esk4_0,esk3_0)
    | ~ lesseq(esk4_0,esk3_0) ),
    inference(spm,[status(thm)],[94855,2641,theory(equality)]) ).

cnf(95073,negated_conjecture,
    ( ~ minsol_model_ub(esk3_0,esk4_0,esk3_0)
    | $false ),
    inference(rw,[status(thm)],[95071,93926,theory(equality)]) ).

cnf(95074,negated_conjecture,
    ~ minsol_model_ub(esk3_0,esk4_0,esk3_0),
    inference(cn,[status(thm)],[95073,theory(equality)]) ).

cnf(95075,negated_conjecture,
    ~ model_ub(esk3_0,esk4_0,esk3_0),
    inference(spm,[status(thm)],[95074,532,theory(equality)]) ).

cnf(95181,negated_conjecture,
    ( ~ lesseq(esk4_0,esk3_0)
    | ~ lesseq(esk3_0,esk3_0) ),
    inference(spm,[status(thm)],[95075,107,theory(equality)]) ).

cnf(95182,negated_conjecture,
    ( $false
    | ~ lesseq(esk3_0,esk3_0) ),
    inference(rw,[status(thm)],[95181,93926,theory(equality)]) ).

cnf(95183,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[95182,56,theory(equality)]) ).

cnf(95184,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[95183,theory(equality)]) ).

cnf(95185,negated_conjecture,
    $false,
    95184,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM858+1 : TPTP v7.0.0. Released v4.1.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.23  % Computer : n119.star.cs.uiowa.edu
% 0.02/0.23  % Model    : x86_64 x86_64
% 0.02/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23  % Memory   : 32218.625MB
% 0.02/0.23  % OS       : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23  % CPULimit : 300
% 0.02/0.23  % DateTime : Fri Jan  5 15:02:18 CST 2018
% 0.02/0.23  % CPUTime  : 
% 0.06/0.28  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.28  --creating new selector for []
% 1.90/2.15  -running prover on /export/starexec/sandbox2/tmp/tmp8p3txk/sel_theBenchmark.p_1 with time limit 29
% 1.90/2.15  -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmp8p3txk/sel_theBenchmark.p_1']
% 1.90/2.15  -prover status Theorem
% 1.90/2.15  Problem theBenchmark.p solved in phase 0.
% 1.90/2.15  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.90/2.15  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.90/2.15  Solved 1 out of 1.
% 1.90/2.15  # Problem is unsatisfiable (or provable), constructing proof object
% 1.90/2.15  # SZS status Theorem
% 1.90/2.15  # SZS output start CNFRefutation.
% See solution above
% 1.90/2.16  # SZS output end CNFRefutation
%------------------------------------------------------------------------------