TSTP Solution File: NUM861+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : NUM861+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:57:50 EDT 2023

% Result   : Theorem 138.23s 17.97s
% Output   : CNFRefutation 138.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :   12
% Syntax   : Number of formulae    :  238 (  17 unt;   0 def)
%            Number of atoms       :  655 (  23 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  699 ( 282   ~; 388   |;  18   &)
%                                         (   8 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :  506 (  14 sgn;  80   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(max_is_ub_1,conjecture,
    ! [X1,X2,X3] :
      ( minsol_model_ub(X1,X2,X3)
    <=> minsol_model_max(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4U6UynKBM/E---3.1_18373.p',max_is_ub_1) ).

fof(minsol_model_ub,axiom,
    ! [X1,X2,X4] :
      ( minsol_model_ub(X1,X2,X4)
    <=> ( model_ub(X1,X2,X4)
        & ! [X3] :
            ( model_ub(X1,X2,X3)
           => lesseq(X4,X3) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4U6UynKBM/E---3.1_18373.p',minsol_model_ub) ).

fof(max_2,axiom,
    ! [X1,X2] :
      ( max(X1,X2) = X2
      | ~ lesseq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4U6UynKBM/E---3.1_18373.p',max_2) ).

fof(max_1,axiom,
    ! [X1,X2] :
      ( max(X1,X2) = X1
      | ~ lesseq(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4U6UynKBM/E---3.1_18373.p',max_1) ).

fof(minsol_model_max,axiom,
    ! [X1,X2,X4] :
      ( minsol_model_max(X1,X2,X4)
    <=> ( model_max(X1,X2,X4)
        & ! [X3] :
            ( model_max(X1,X2,X3)
           => lesseq(X4,X3) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4U6UynKBM/E---3.1_18373.p',minsol_model_max) ).

fof(model_max_4,axiom,
    ! [X1,X2,X4] :
      ( model_max(X1,X2,X4)
    <=> lesseq(sum(c,max(X1,X2)),X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4U6UynKBM/E---3.1_18373.p',model_max_4) ).

fof(lesseq_ref,axiom,
    ! [X1] : lesseq(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.x4U6UynKBM/E---3.1_18373.p',lesseq_ref) ).

fof(sum_monotone_1,axiom,
    ! [X1,X2,X3] :
      ( lesseq(X1,X2)
    <=> lesseq(sum(X3,X1),sum(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4U6UynKBM/E---3.1_18373.p',sum_monotone_1) ).

fof(model_ub_4,axiom,
    ! [X1,X2,X4] :
      ( model_ub(X1,X2,X4)
    <=> ? [X3] :
          ( ub(X1,X2,X3)
          & lesseq(sum(c,X3),X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4U6UynKBM/E---3.1_18373.p',model_ub_4) ).

fof(lesseq_trans,axiom,
    ! [X1,X2,X3] :
      ( ( lesseq(X1,X2)
        & lesseq(X2,X3) )
     => lesseq(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4U6UynKBM/E---3.1_18373.p',lesseq_trans) ).

fof(lesseq_total,axiom,
    ! [X1,X2] :
      ( lesseq(X1,X2)
      | lesseq(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4U6UynKBM/E---3.1_18373.p',lesseq_total) ).

fof(ub,axiom,
    ! [X1,X2,X3] :
      ( ub(X1,X2,X3)
    <=> ( lesseq(X1,X3)
        & lesseq(X2,X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.x4U6UynKBM/E---3.1_18373.p',ub) ).

fof(c_0_12,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( minsol_model_ub(X1,X2,X3)
      <=> minsol_model_max(X1,X2,X3) ),
    inference(assume_negation,[status(cth)],[max_is_ub_1]) ).

fof(c_0_13,plain,
    ! [X16,X17,X18,X19,X20,X21,X22] :
      ( ( model_ub(X16,X17,X18)
        | ~ minsol_model_ub(X16,X17,X18) )
      & ( ~ model_ub(X16,X17,X19)
        | lesseq(X18,X19)
        | ~ minsol_model_ub(X16,X17,X18) )
      & ( model_ub(X20,X21,esk5_3(X20,X21,X22))
        | ~ model_ub(X20,X21,X22)
        | minsol_model_ub(X20,X21,X22) )
      & ( ~ lesseq(X22,esk5_3(X20,X21,X22))
        | ~ model_ub(X20,X21,X22)
        | minsol_model_ub(X20,X21,X22) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[minsol_model_ub])])])])])]) ).

fof(c_0_14,negated_conjecture,
    ( ( ~ minsol_model_ub(esk1_0,esk2_0,esk3_0)
      | ~ minsol_model_max(esk1_0,esk2_0,esk3_0) )
    & ( minsol_model_ub(esk1_0,esk2_0,esk3_0)
      | minsol_model_max(esk1_0,esk2_0,esk3_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).

fof(c_0_15,plain,
    ! [X1,X2] :
      ( max(X1,X2) = X2
      | ~ lesseq(X1,X2) ),
    inference(fof_simplification,[status(thm)],[max_2]) ).

fof(c_0_16,plain,
    ! [X1,X2] :
      ( max(X1,X2) = X1
      | ~ lesseq(X2,X1) ),
    inference(fof_simplification,[status(thm)],[max_1]) ).

fof(c_0_17,plain,
    ! [X8,X9,X10,X11,X12,X13,X14] :
      ( ( model_max(X8,X9,X10)
        | ~ minsol_model_max(X8,X9,X10) )
      & ( ~ model_max(X8,X9,X11)
        | lesseq(X10,X11)
        | ~ minsol_model_max(X8,X9,X10) )
      & ( model_max(X12,X13,esk4_3(X12,X13,X14))
        | ~ model_max(X12,X13,X14)
        | minsol_model_max(X12,X13,X14) )
      & ( ~ lesseq(X14,esk4_3(X12,X13,X14))
        | ~ model_max(X12,X13,X14)
        | minsol_model_max(X12,X13,X14) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[minsol_model_max])])])])])]) ).

cnf(c_0_18,plain,
    ( model_ub(X1,X2,X3)
    | ~ minsol_model_ub(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    ( minsol_model_ub(esk1_0,esk2_0,esk3_0)
    | minsol_model_max(esk1_0,esk2_0,esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_20,plain,
    ! [X32,X33,X34] :
      ( ( ~ model_max(X32,X33,X34)
        | lesseq(sum(c,max(X32,X33)),X34) )
      & ( ~ lesseq(sum(c,max(X32,X33)),X34)
        | model_max(X32,X33,X34) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[model_max_4])]) ).

fof(c_0_21,plain,
    ! [X24] : lesseq(X24,X24),
    inference(variable_rename,[status(thm)],[lesseq_ref]) ).

fof(c_0_22,plain,
    ! [X48,X49] :
      ( max(X48,X49) = X49
      | ~ lesseq(X48,X49) ),
    inference(variable_rename,[status(thm)],[c_0_15]) ).

fof(c_0_23,plain,
    ! [X46,X47] :
      ( max(X46,X47) = X46
      | ~ lesseq(X47,X46) ),
    inference(variable_rename,[status(thm)],[c_0_16]) ).

cnf(c_0_24,plain,
    ( lesseq(X4,X3)
    | ~ model_max(X1,X2,X3)
    | ~ minsol_model_max(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,negated_conjecture,
    ( minsol_model_max(esk1_0,esk2_0,esk3_0)
    | model_ub(esk1_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_26,plain,
    ( model_max(X1,X2,X3)
    | ~ lesseq(sum(c,max(X1,X2)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,plain,
    lesseq(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_28,plain,
    ( max(X1,X2) = X2
    | ~ lesseq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,plain,
    ( max(X1,X2) = X1
    | ~ lesseq(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_30,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | lesseq(esk3_0,X1)
    | ~ model_max(esk1_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_31,plain,
    model_max(X1,X2,sum(c,max(X1,X2))),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

fof(c_0_32,plain,
    ! [X43,X44,X45] :
      ( ( ~ lesseq(X43,X44)
        | lesseq(sum(X45,X43),sum(X45,X44)) )
      & ( ~ lesseq(sum(X45,X43),sum(X45,X44))
        | lesseq(X43,X44) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_monotone_1])]) ).

cnf(c_0_33,plain,
    ( X1 = X2
    | ~ lesseq(X1,X2)
    | ~ lesseq(X2,X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | lesseq(esk3_0,sum(c,max(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_35,plain,
    ( model_max(X1,X2,X3)
    | ~ minsol_model_max(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_36,plain,
    ( lesseq(X2,X3)
    | ~ lesseq(sum(X1,X2),sum(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_37,plain,
    ( lesseq(sum(c,max(X1,X2)),X3)
    | ~ model_max(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_38,plain,
    ! [X35,X36,X37,X39,X40,X41,X42] :
      ( ( ub(X35,X36,esk6_3(X35,X36,X37))
        | ~ model_ub(X35,X36,X37) )
      & ( lesseq(sum(c,esk6_3(X35,X36,X37)),X37)
        | ~ model_ub(X35,X36,X37) )
      & ( ~ ub(X39,X40,X42)
        | ~ lesseq(sum(c,X42),X41)
        | model_ub(X39,X40,X41) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[model_ub_4])])])])])]) ).

cnf(c_0_39,negated_conjecture,
    ( sum(c,max(esk1_0,esk2_0)) = esk3_0
    | model_ub(esk1_0,esk2_0,esk3_0)
    | ~ lesseq(sum(c,max(esk1_0,esk2_0)),esk3_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_40,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | model_max(esk1_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_25]) ).

fof(c_0_41,plain,
    ! [X25,X26,X27] :
      ( ~ lesseq(X25,X26)
      | ~ lesseq(X26,X27)
      | lesseq(X25,X27) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lesseq_trans])]) ).

fof(c_0_42,plain,
    ! [X30,X31] :
      ( lesseq(X30,X31)
      | lesseq(X31,X30) ),
    inference(variable_rename,[status(thm)],[lesseq_total]) ).

cnf(c_0_43,plain,
    ( lesseq(max(X1,X2),X3)
    | ~ model_max(X1,X2,sum(c,X3)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_44,plain,
    ( model_ub(X1,X2,X4)
    | ~ ub(X1,X2,X3)
    | ~ lesseq(sum(c,X3),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_45,plain,
    ! [X50,X51,X52] :
      ( ( lesseq(X50,X52)
        | ~ ub(X50,X51,X52) )
      & ( lesseq(X51,X52)
        | ~ ub(X50,X51,X52) )
      & ( ~ lesseq(X50,X52)
        | ~ lesseq(X51,X52)
        | ub(X50,X51,X52) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ub])])]) ).

cnf(c_0_46,plain,
    ( model_max(X1,X2,sum(c,X2))
    | ~ lesseq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_31,c_0_28]) ).

cnf(c_0_47,negated_conjecture,
    ( sum(c,max(esk1_0,esk2_0)) = esk3_0
    | model_ub(esk1_0,esk2_0,esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_37]),c_0_40]) ).

cnf(c_0_48,plain,
    ( lesseq(X1,X3)
    | ~ lesseq(X1,X2)
    | ~ lesseq(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_49,plain,
    ( lesseq(X1,X2)
    | lesseq(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_50,plain,
    ( lesseq(X1,X2)
    | ~ model_max(X3,X1,sum(c,X2))
    | ~ lesseq(X3,X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_28]) ).

cnf(c_0_51,plain,
    ( model_ub(X1,X2,X3)
    | ~ model_max(X4,X5,X3)
    | ~ ub(X1,X2,max(X4,X5)) ),
    inference(spm,[status(thm)],[c_0_44,c_0_37]) ).

cnf(c_0_52,plain,
    ( ub(X1,X3,X2)
    | ~ lesseq(X1,X2)
    | ~ lesseq(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_53,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | model_max(X1,max(esk1_0,esk2_0),esk3_0)
    | ~ lesseq(X1,max(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_54,plain,
    ( lesseq(X1,X2)
    | lesseq(X3,X1)
    | ~ lesseq(X3,X2) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_55,plain,
    ( lesseq(X1,max(X2,X1))
    | ~ lesseq(X2,X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_31]) ).

cnf(c_0_56,plain,
    ( lesseq(sum(c,esk6_3(X1,X2,X3)),X3)
    | ~ model_ub(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_57,plain,
    ( model_ub(X1,X2,X3)
    | ~ model_max(X4,X5,X3)
    | ~ lesseq(X2,max(X4,X5))
    | ~ lesseq(X1,max(X4,X5)) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_58,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | model_max(max(esk1_0,esk2_0),max(esk1_0,esk2_0),esk3_0) ),
    inference(spm,[status(thm)],[c_0_53,c_0_27]) ).

cnf(c_0_59,plain,
    ( lesseq(X1,max(X2,X3))
    | lesseq(X3,X1)
    | ~ lesseq(X2,X3) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_60,plain,
    ( lesseq(X1,X2)
    | ~ model_ub(X3,X4,X2)
    | ~ lesseq(X1,sum(c,esk6_3(X3,X4,X2))) ),
    inference(spm,[status(thm)],[c_0_48,c_0_56]) ).

cnf(c_0_61,plain,
    ( lesseq(sum(X3,X1),sum(X3,X2))
    | ~ lesseq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_62,plain,
    ( lesseq(X1,X2)
    | ~ ub(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_63,plain,
    ( ub(X1,X2,esk6_3(X1,X2,X3))
    | ~ model_ub(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_64,plain,
    ( model_ub(X1,X2,X3)
    | ~ model_max(X4,X2,X3)
    | ~ lesseq(X1,max(X4,X2))
    | ~ lesseq(X4,X2) ),
    inference(spm,[status(thm)],[c_0_57,c_0_55]) ).

cnf(c_0_65,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | model_max(esk1_0,esk1_0,esk3_0)
    | ~ lesseq(esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_58,c_0_29]) ).

cnf(c_0_66,plain,
    ( lesseq(X1,X2)
    | ~ ub(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_67,plain,
    ( lesseq(X1,X2)
    | ~ model_max(X1,X3,sum(c,X2))
    | ~ lesseq(X3,X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_29]) ).

cnf(c_0_68,plain,
    ( lesseq(X1,max(X2,X2))
    | lesseq(X2,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_27]) ).

cnf(c_0_69,plain,
    ( lesseq(sum(c,X1),X2)
    | ~ model_ub(X3,X4,X2)
    | ~ lesseq(X1,esk6_3(X3,X4,X2)) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_70,plain,
    ( lesseq(X1,esk6_3(X1,X2,X3))
    | ~ model_ub(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_71,plain,
    ( model_ub(X1,X1,X2)
    | ~ model_max(X3,X1,X2)
    | ~ lesseq(X3,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_55]) ).

cnf(c_0_72,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | model_max(esk1_0,esk1_0,esk3_0)
    | lesseq(esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_65,c_0_49]) ).

cnf(c_0_73,plain,
    ( lesseq(X1,esk6_3(X2,X1,X3))
    | ~ model_ub(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_66,c_0_63]) ).

cnf(c_0_74,plain,
    ( model_max(X1,X2,sum(c,X3))
    | ~ lesseq(max(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_26,c_0_61]) ).

cnf(c_0_75,plain,
    ( model_ub(X1,X2,X3)
    | ~ model_ub(X4,X5,X3)
    | ~ ub(X1,X2,esk6_3(X4,X5,X3)) ),
    inference(spm,[status(thm)],[c_0_44,c_0_56]) ).

cnf(c_0_76,plain,
    ( lesseq(X1,max(X1,X2))
    | ~ lesseq(X2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_31]) ).

cnf(c_0_77,plain,
    ( model_ub(X1,X2,X3)
    | lesseq(X2,X1)
    | ~ model_max(X2,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_68]),c_0_27])]) ).

cnf(c_0_78,plain,
    ( model_max(X1,X2,X3)
    | ~ lesseq(sum(c,X2),X3)
    | ~ lesseq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_26,c_0_28]) ).

cnf(c_0_79,plain,
    ( lesseq(sum(c,X1),X2)
    | ~ model_ub(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_80,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | model_ub(esk1_0,esk1_0,esk3_0)
    | lesseq(esk1_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_27])]) ).

cnf(c_0_81,plain,
    ( lesseq(sum(c,X1),X2)
    | ~ model_ub(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_69,c_0_73]) ).

cnf(c_0_82,plain,
    ( lesseq(X1,X2)
    | ~ model_max(X3,X4,sum(c,X2))
    | ~ lesseq(X1,max(X3,X4)) ),
    inference(spm,[status(thm)],[c_0_48,c_0_43]) ).

cnf(c_0_83,plain,
    ( model_max(X1,X2,sum(c,X3))
    | ~ lesseq(X2,X3)
    | ~ lesseq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_74,c_0_28]) ).

cnf(c_0_84,plain,
    ( model_ub(X1,X2,X3)
    | ~ model_ub(X4,X5,X3)
    | ~ lesseq(X2,esk6_3(X4,X5,X3))
    | ~ lesseq(X1,esk6_3(X4,X5,X3)) ),
    inference(spm,[status(thm)],[c_0_75,c_0_52]) ).

cnf(c_0_85,plain,
    ( model_ub(X1,X2,X3)
    | ~ model_max(X1,X2,X3)
    | ~ lesseq(X1,X2)
    | ~ lesseq(X2,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_76]) ).

cnf(c_0_86,plain,
    ( model_ub(X1,X2,X3)
    | lesseq(X2,X1)
    | ~ lesseq(sum(c,X2),X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_27])]) ).

cnf(c_0_87,negated_conjecture,
    ( lesseq(sum(c,esk1_0),esk3_0)
    | lesseq(esk1_0,esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).

cnf(c_0_88,plain,
    ( model_max(X1,X2,sum(c,X1))
    | ~ lesseq(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_29]) ).

cnf(c_0_89,plain,
    ( lesseq(X1,X2)
    | ~ lesseq(X1,max(X3,X4))
    | ~ lesseq(X4,X2)
    | ~ lesseq(X3,X4) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_90,plain,
    ( model_ub(X1,X2,X3)
    | ~ model_ub(X2,X4,X3)
    | ~ lesseq(X1,esk6_3(X2,X4,X3)) ),
    inference(spm,[status(thm)],[c_0_84,c_0_70]) ).

cnf(c_0_91,plain,
    ( model_ub(X1,X2,X3)
    | ~ lesseq(sum(c,X2),X3)
    | ~ lesseq(X1,X2)
    | ~ lesseq(X2,X1) ),
    inference(spm,[status(thm)],[c_0_85,c_0_78]) ).

cnf(c_0_92,negated_conjecture,
    ( model_ub(X1,esk1_0,esk3_0)
    | lesseq(esk1_0,esk2_0)
    | lesseq(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_93,plain,
    ( lesseq(X1,X2)
    | ~ lesseq(X1,max(X3,X2))
    | ~ lesseq(X3,X2) ),
    inference(spm,[status(thm)],[c_0_82,c_0_46]) ).

cnf(c_0_94,plain,
    ( lesseq(X1,X2)
    | ~ lesseq(X1,max(X2,X3))
    | ~ lesseq(X3,X2) ),
    inference(spm,[status(thm)],[c_0_82,c_0_88]) ).

cnf(c_0_95,plain,
    ( lesseq(max(X1,X2),X3)
    | ~ lesseq(X2,X3)
    | ~ lesseq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_89,c_0_27]) ).

cnf(c_0_96,plain,
    ( model_ub(X1,X2,X3)
    | ~ model_ub(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_90,c_0_73]) ).

cnf(c_0_97,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | ~ lesseq(esk1_0,esk2_0)
    | ~ lesseq(esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_85,c_0_40]) ).

cnf(c_0_98,negated_conjecture,
    ( model_ub(X1,esk1_0,esk3_0)
    | lesseq(esk1_0,esk2_0)
    | ~ lesseq(X1,esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_87]),c_0_92]) ).

cnf(c_0_99,plain,
    ( lesseq(max(X1,X2),X2)
    | ~ lesseq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_93,c_0_27]) ).

cnf(c_0_100,plain,
    ( lesseq(max(X1,X2),X3)
    | ~ lesseq(X2,max(X3,X4))
    | ~ lesseq(X4,X3)
    | ~ lesseq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_101,plain,
    ( lesseq(max(X1,X2),X3)
    | lesseq(X3,X4)
    | ~ lesseq(X2,X4)
    | ~ lesseq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_89,c_0_49]) ).

cnf(c_0_102,negated_conjecture,
    ( model_ub(esk2_0,esk1_0,esk3_0)
    | ~ lesseq(esk2_0,esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]) ).

cnf(c_0_103,plain,
    ( lesseq(max(X1,max(X2,X3)),X3)
    | ~ lesseq(X1,max(X2,X3))
    | ~ lesseq(X2,X3) ),
    inference(spm,[status(thm)],[c_0_93,c_0_99]) ).

cnf(c_0_104,plain,
    ( lesseq(max(X1,X2),X3)
    | ~ lesseq(X2,X4)
    | ~ lesseq(X4,X3)
    | ~ lesseq(X1,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_28]),c_0_101]) ).

cnf(c_0_105,plain,
    ( lesseq(X1,X2)
    | lesseq(X2,X3)
    | lesseq(X3,X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_49]) ).

cnf(c_0_106,negated_conjecture,
    ( lesseq(sum(c,esk2_0),esk3_0)
    | ~ lesseq(esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_79,c_0_102]) ).

cnf(c_0_107,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | lesseq(esk3_0,sum(c,esk1_0))
    | ~ lesseq(esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_34,c_0_29]) ).

cnf(c_0_108,plain,
    ( lesseq(X1,X2)
    | ~ lesseq(X1,max(X3,max(X4,X2)))
    | ~ lesseq(X3,max(X4,X2))
    | ~ lesseq(X4,X2) ),
    inference(spm,[status(thm)],[c_0_48,c_0_103]) ).

cnf(c_0_109,plain,
    ( lesseq(max(X1,X2),X3)
    | lesseq(X4,X2)
    | ~ lesseq(X4,X3)
    | ~ lesseq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_104,c_0_49]) ).

cnf(c_0_110,plain,
    ( lesseq(X1,X2)
    | ~ lesseq(X1,X3)
    | ~ lesseq(X4,X2)
    | ~ lesseq(X3,X4)
    | ~ lesseq(X4,X3) ),
    inference(spm,[status(thm)],[c_0_89,c_0_29]) ).

cnf(c_0_111,plain,
    ( lesseq(X1,X2)
    | lesseq(X3,X1)
    | lesseq(X4,X3)
    | ~ lesseq(X4,X2) ),
    inference(spm,[status(thm)],[c_0_48,c_0_105]) ).

cnf(c_0_112,plain,
    ( lesseq(esk6_3(X1,X2,sum(c,X3)),X3)
    | ~ model_ub(X1,X2,sum(c,X3)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_56]) ).

cnf(c_0_113,plain,
    ( model_ub(X1,X1,sum(c,X2))
    | ~ lesseq(X3,X1)
    | ~ lesseq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_71,c_0_83]) ).

cnf(c_0_114,plain,
    ( model_ub(X1,X2,X3)
    | ~ model_ub(X4,X2,X3)
    | ~ lesseq(X1,esk6_3(X4,X2,X3)) ),
    inference(spm,[status(thm)],[c_0_84,c_0_73]) ).

cnf(c_0_115,negated_conjecture,
    ( model_ub(X1,esk2_0,esk3_0)
    | lesseq(esk2_0,X1)
    | ~ lesseq(esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_86,c_0_106]) ).

cnf(c_0_116,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | model_max(esk1_0,esk2_0,X1)
    | ~ lesseq(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_47]) ).

cnf(c_0_117,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | lesseq(esk3_0,sum(c,esk1_0))
    | lesseq(esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_49]) ).

cnf(c_0_118,plain,
    ( lesseq(X1,X2)
    | ~ lesseq(X3,max(X4,X2))
    | ~ lesseq(X1,X3)
    | ~ lesseq(X4,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_29]),c_0_109]) ).

cnf(c_0_119,plain,
    ( lesseq(X1,X2)
    | lesseq(X2,X3)
    | ~ lesseq(X4,X3)
    | ~ lesseq(X1,X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_49]),c_0_111]) ).

cnf(c_0_120,plain,
    ( lesseq(X1,X2)
    | ~ model_ub(X3,X4,sum(c,X2))
    | ~ lesseq(X1,esk6_3(X3,X4,sum(c,X2))) ),
    inference(spm,[status(thm)],[c_0_48,c_0_112]) ).

cnf(c_0_121,plain,
    ( model_ub(X1,X1,sum(c,X2))
    | ~ lesseq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_113,c_0_27]) ).

cnf(c_0_122,plain,
    ( model_ub(X1,X1,X2)
    | ~ model_ub(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_114,c_0_73]) ).

cnf(c_0_123,negated_conjecture,
    ( model_ub(X1,esk2_0,esk3_0)
    | lesseq(esk1_0,esk2_0)
    | lesseq(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_115,c_0_49]) ).

cnf(c_0_124,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | model_max(esk1_0,esk2_0,sum(c,esk1_0))
    | lesseq(esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_125,plain,
    ( model_ub(X1,X1,X2)
    | ~ lesseq(sum(c,X1),X2)
    | ~ lesseq(X3,X1) ),
    inference(spm,[status(thm)],[c_0_71,c_0_78]) ).

cnf(c_0_126,plain,
    ( lesseq(X1,X2)
    | ~ lesseq(X3,X4)
    | ~ lesseq(X1,X3)
    | ~ lesseq(X4,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_29]),c_0_119]) ).

cnf(c_0_127,plain,
    ( lesseq(X1,X2)
    | ~ model_ub(X1,X3,sum(c,X2)) ),
    inference(spm,[status(thm)],[c_0_120,c_0_70]) ).

cnf(c_0_128,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | model_ub(X1,X1,esk3_0)
    | ~ lesseq(X1,max(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_121,c_0_47]) ).

cnf(c_0_129,negated_conjecture,
    ( model_ub(esk2_0,esk2_0,esk3_0)
    | lesseq(esk1_0,esk2_0)
    | lesseq(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_130,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | model_ub(esk2_0,esk2_0,esk3_0)
    | ~ lesseq(esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_71,c_0_40]) ).

cnf(c_0_131,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | lesseq(esk1_0,esk2_0)
    | lesseq(X1,esk1_0)
    | ~ lesseq(X1,max(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_82,c_0_124]) ).

cnf(c_0_132,negated_conjecture,
    ( model_ub(esk1_0,esk1_0,esk3_0)
    | lesseq(esk1_0,esk2_0)
    | ~ lesseq(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_125,c_0_87]) ).

cnf(c_0_133,plain,
    ( lesseq(X1,esk6_3(X2,X3,X4))
    | ~ model_ub(X2,X3,X4)
    | ~ lesseq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_48,c_0_70]) ).

cnf(c_0_134,plain,
    ( lesseq(X1,X2)
    | ~ model_max(X3,X4,X5)
    | ~ lesseq(X1,sum(c,max(X3,X4)))
    | ~ lesseq(X5,X2) ),
    inference(spm,[status(thm)],[c_0_126,c_0_37]) ).

cnf(c_0_135,plain,
    ( model_max(X1,X2,X3)
    | lesseq(X3,sum(c,max(X1,X2))) ),
    inference(spm,[status(thm)],[c_0_26,c_0_49]) ).

cnf(c_0_136,plain,
    ( model_ub(X1,X2,X3)
    | ~ model_max(X4,X2,X3)
    | ~ lesseq(X1,X2)
    | ~ lesseq(X4,X2) ),
    inference(spm,[status(thm)],[c_0_64,c_0_28]) ).

cnf(c_0_137,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | lesseq(X1,max(esk1_0,esk2_0))
    | ~ model_ub(X1,X2,esk3_0) ),
    inference(spm,[status(thm)],[c_0_127,c_0_47]) ).

cnf(c_0_138,negated_conjecture,
    model_ub(esk2_0,esk2_0,esk3_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]),c_0_122]) ).

cnf(c_0_139,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | lesseq(max(esk1_0,esk2_0),esk1_0)
    | lesseq(esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_131,c_0_27]) ).

cnf(c_0_140,negated_conjecture,
    ( model_ub(esk1_0,esk1_0,esk3_0)
    | lesseq(esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_27]) ).

cnf(c_0_141,plain,
    ( model_ub(X1,X2,X3)
    | ~ model_ub(X2,X4,X3)
    | ~ lesseq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_90,c_0_133]) ).

cnf(c_0_142,plain,
    ( lesseq(X1,max(X2,X3))
    | ~ lesseq(X1,X3)
    | ~ lesseq(X2,X3) ),
    inference(spm,[status(thm)],[c_0_48,c_0_55]) ).

cnf(c_0_143,plain,
    ( model_max(X1,X2,X3)
    | lesseq(X3,X4)
    | ~ model_max(X1,X2,X5)
    | ~ lesseq(X5,X4) ),
    inference(spm,[status(thm)],[c_0_134,c_0_135]) ).

cnf(c_0_144,plain,
    ( lesseq(max(X1,X2),X3)
    | lesseq(X3,X2)
    | ~ lesseq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_93,c_0_49]) ).

cnf(c_0_145,negated_conjecture,
    ( model_ub(X1,max(esk1_0,esk2_0),esk3_0)
    | model_ub(esk1_0,esk2_0,esk3_0)
    | ~ lesseq(X1,max(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_58]),c_0_27])]) ).

cnf(c_0_146,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | lesseq(esk2_0,max(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_147,negated_conjecture,
    ( max(esk1_0,esk2_0) = esk1_0
    | model_ub(esk1_0,esk2_0,esk3_0)
    | lesseq(esk1_0,esk2_0)
    | ~ lesseq(esk1_0,max(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_139]) ).

cnf(c_0_148,negated_conjecture,
    ( model_ub(esk1_0,esk2_0,esk3_0)
    | lesseq(esk1_0,max(esk1_0,esk2_0))
    | lesseq(esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_137,c_0_140]) ).

cnf(c_0_149,negated_conjecture,
    ( model_ub(X1,esk2_0,esk3_0)
    | ~ lesseq(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_141,c_0_138]) ).

cnf(c_0_150,plain,
    ( model_max(X1,X2,max(X3,X4))
    | ~ lesseq(sum(c,max(X1,X2)),X4)
    | ~ lesseq(X3,X4) ),
    inference(spm,[status(thm)],[c_0_26,c_0_142]) ).

cnf(c_0_151,plain,
    ( model_max(X1,X2,X3)
    | lesseq(X3,X4)
    | ~ lesseq(sum(c,max(X1,X2)),X4) ),
    inference(spm,[status(thm)],[c_0_143,c_0_31]) ).

cnf(c_0_152,plain,
    ( minsol_model_ub(X2,X3,X1)
    | ~ lesseq(X1,esk5_3(X2,X3,X1))
    | ~ model_ub(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_153,plain,
    ( lesseq(max(X1,X1),X2)
    | lesseq(X2,X1) ),
    inference(spm,[status(thm)],[c_0_144,c_0_27]) ).

cnf(c_0_154,negated_conjecture,
    ( model_ub(esk2_0,max(esk1_0,esk2_0),esk3_0)
    | model_ub(esk1_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_155,negated_conjecture,
    ( max(esk1_0,esk2_0) = esk1_0
    | model_ub(esk1_0,esk2_0,esk3_0)
    | lesseq(esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_156,negated_conjecture,
    ( model_ub(esk2_0,X1,esk3_0)
    | ~ lesseq(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_96,c_0_149]) ).

cnf(c_0_157,plain,
    ( model_max(X1,X2,X3)
    | ~ lesseq(sum(c,max(X1,X2)),X4)
    | ~ lesseq(X4,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_29]),c_0_151]) ).

cnf(c_0_158,plain,
    ( minsol_model_ub(X1,X2,max(X3,X3))
    | lesseq(esk5_3(X1,X2,max(X3,X3)),X3)
    | ~ model_ub(X1,X2,max(X3,X3)) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_159,negated_conjecture,
    model_ub(esk2_0,esk1_0,esk3_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]),c_0_96]) ).

cnf(c_0_160,plain,
    ( lesseq(X4,X3)
    | ~ model_ub(X1,X2,X3)
    | ~ minsol_model_ub(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_161,plain,
    ( model_max(X1,X2,X3)
    | ~ model_max(X1,X2,X4)
    | ~ lesseq(X4,X3) ),
    inference(spm,[status(thm)],[c_0_157,c_0_37]) ).

cnf(c_0_162,plain,
    ( model_max(X1,X2,sum(c,X3))
    | ~ lesseq(X1,X3)
    | ~ lesseq(X2,X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_29]) ).

cnf(c_0_163,plain,
    ( X1 = max(X2,X3)
    | ~ lesseq(max(X2,X3),X1)
    | ~ lesseq(X1,X3)
    | ~ lesseq(X2,X3) ),
    inference(spm,[status(thm)],[c_0_33,c_0_142]) ).

cnf(c_0_164,plain,
    ( minsol_model_ub(X1,X2,X3)
    | lesseq(esk5_3(X1,X2,X3),X3)
    | ~ model_ub(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_28]),c_0_27])]) ).

cnf(c_0_165,negated_conjecture,
    model_ub(esk1_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_96,c_0_159]) ).

cnf(c_0_166,plain,
    ( model_ub(X1,X2,esk5_3(X1,X2,X3))
    | minsol_model_ub(X1,X2,X3)
    | ~ model_ub(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_167,negated_conjecture,
    ( minsol_model_max(esk1_0,esk2_0,esk3_0)
    | lesseq(esk3_0,X1)
    | ~ model_ub(esk1_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_160,c_0_19]) ).

cnf(c_0_168,plain,
    ( model_ub(X1,X2,sum(c,X2))
    | lesseq(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_46]),c_0_27])]) ).

cnf(c_0_169,plain,
    ( model_max(X1,X2,X3)
    | ~ lesseq(sum(c,X4),X3)
    | ~ lesseq(X1,X4)
    | ~ lesseq(X2,X1) ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_170,plain,
    ( X1 = X2
    | ~ lesseq(X2,X1)
    | ~ lesseq(X1,X3)
    | ~ lesseq(X3,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_29]),c_0_48]) ).

cnf(c_0_171,negated_conjecture,
    ( minsol_model_ub(esk1_0,esk2_0,esk3_0)
    | lesseq(esk5_3(esk1_0,esk2_0,esk3_0),esk3_0) ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_172,negated_conjecture,
    ( minsol_model_ub(esk1_0,esk2_0,esk3_0)
    | model_ub(esk1_0,esk2_0,esk5_3(esk1_0,esk2_0,esk3_0)) ),
    inference(spm,[status(thm)],[c_0_166,c_0_165]) ).

cnf(c_0_173,negated_conjecture,
    ( minsol_model_max(esk1_0,esk2_0,esk3_0)
    | lesseq(esk3_0,sum(c,esk2_0))
    | lesseq(esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_174,plain,
    ( minsol_model_max(X2,X3,X1)
    | ~ lesseq(X1,esk4_3(X2,X3,X1))
    | ~ model_max(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_175,plain,
    ( model_max(X1,X2,esk4_3(X1,X2,X3))
    | minsol_model_max(X1,X2,X3)
    | ~ model_max(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_176,plain,
    ( model_max(X1,X2,X3)
    | ~ model_ub(X4,X5,X3)
    | ~ lesseq(X1,esk6_3(X4,X5,X3))
    | ~ lesseq(X2,X1) ),
    inference(spm,[status(thm)],[c_0_169,c_0_56]) ).

cnf(c_0_177,negated_conjecture,
    ( minsol_model_ub(esk2_0,esk1_0,esk3_0)
    | model_ub(esk2_0,esk1_0,esk5_3(esk2_0,esk1_0,esk3_0)) ),
    inference(spm,[status(thm)],[c_0_166,c_0_159]) ).

cnf(c_0_178,negated_conjecture,
    ( esk5_3(esk1_0,esk2_0,esk3_0) = esk3_0
    | minsol_model_ub(esk1_0,esk2_0,esk3_0)
    | ~ lesseq(X1,esk5_3(esk1_0,esk2_0,esk3_0))
    | ~ lesseq(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_170,c_0_171]) ).

cnf(c_0_179,negated_conjecture,
    ( minsol_model_ub(esk1_0,esk2_0,esk3_0)
    | lesseq(sum(c,esk2_0),esk5_3(esk1_0,esk2_0,esk3_0)) ),
    inference(spm,[status(thm)],[c_0_81,c_0_172]) ).

cnf(c_0_180,negated_conjecture,
    ( lesseq(esk3_0,sum(c,esk2_0))
    | lesseq(esk2_0,esk1_0)
    | lesseq(esk3_0,X1)
    | ~ model_max(esk1_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_173]) ).

cnf(c_0_181,plain,
    ( minsol_model_max(X1,X2,sum(c,max(X3,X4)))
    | ~ model_max(X3,X4,esk4_3(X1,X2,sum(c,max(X3,X4))))
    | ~ model_max(X1,X2,sum(c,max(X3,X4))) ),
    inference(spm,[status(thm)],[c_0_174,c_0_37]) ).

cnf(c_0_182,plain,
    ( minsol_model_max(X1,X2,sum(c,max(X1,X2)))
    | model_max(X1,X2,esk4_3(X1,X2,sum(c,max(X1,X2)))) ),
    inference(spm,[status(thm)],[c_0_175,c_0_31]) ).

cnf(c_0_183,plain,
    ( model_max(X1,X2,X3)
    | ~ model_ub(X4,X1,X3)
    | ~ lesseq(X2,X1) ),
    inference(spm,[status(thm)],[c_0_176,c_0_73]) ).

cnf(c_0_184,negated_conjecture,
    ( minsol_model_ub(esk2_0,esk1_0,esk3_0)
    | model_ub(esk1_0,esk2_0,esk5_3(esk2_0,esk1_0,esk3_0)) ),
    inference(spm,[status(thm)],[c_0_96,c_0_177]) ).

cnf(c_0_185,plain,
    ( lesseq(sum(c,X1),X2)
    | ~ model_max(X1,X3,X2)
    | ~ lesseq(X3,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_29]) ).

cnf(c_0_186,negated_conjecture,
    ( esk5_3(esk1_0,esk2_0,esk3_0) = esk3_0
    | minsol_model_ub(esk1_0,esk2_0,esk3_0)
    | ~ lesseq(esk3_0,sum(c,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_187,negated_conjecture,
    ( lesseq(esk3_0,sum(c,esk2_0))
    | lesseq(esk2_0,esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_46]),c_0_49]) ).

cnf(c_0_188,plain,
    minsol_model_max(X1,X2,sum(c,max(X1,X2))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_31])]) ).

cnf(c_0_189,negated_conjecture,
    lesseq(sum(c,esk2_0),esk3_0),
    inference(spm,[status(thm)],[c_0_79,c_0_138]) ).

cnf(c_0_190,plain,
    ( model_ub(X1,X2,X3)
    | ~ model_max(X2,X4,X3)
    | ~ lesseq(X1,max(X2,X4))
    | ~ lesseq(X4,X2) ),
    inference(spm,[status(thm)],[c_0_57,c_0_76]) ).

cnf(c_0_191,negated_conjecture,
    ( model_max(esk1_0,X1,esk3_0)
    | ~ lesseq(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_183,c_0_159]) ).

cnf(c_0_192,negated_conjecture,
    ( minsol_model_ub(esk2_0,esk1_0,esk3_0)
    | minsol_model_max(esk1_0,esk2_0,esk3_0)
    | lesseq(esk3_0,esk5_3(esk2_0,esk1_0,esk3_0)) ),
    inference(spm,[status(thm)],[c_0_167,c_0_184]) ).

cnf(c_0_193,plain,
    ( lesseq(sum(c,X1),sum(c,max(X1,X2)))
    | ~ lesseq(X2,X1) ),
    inference(spm,[status(thm)],[c_0_185,c_0_31]) ).

cnf(c_0_194,negated_conjecture,
    ( esk5_3(esk1_0,esk2_0,esk3_0) = esk3_0
    | minsol_model_ub(esk1_0,esk2_0,esk3_0)
    | lesseq(esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_195,plain,
    ( minsol_model_max(X1,X2,sum(c,X2))
    | ~ lesseq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_188,c_0_28]) ).

cnf(c_0_196,negated_conjecture,
    ( sum(c,esk2_0) = esk3_0
    | lesseq(esk2_0,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_187]),c_0_189])]) ).

cnf(c_0_197,plain,
    ( model_ub(X1,X1,X2)
    | ~ model_max(X1,X3,X2)
    | ~ lesseq(X3,X1) ),
    inference(spm,[status(thm)],[c_0_190,c_0_76]) ).

cnf(c_0_198,negated_conjecture,
    ( model_max(esk1_0,X1,X2)
    | ~ lesseq(esk3_0,X2)
    | ~ lesseq(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_161,c_0_191]) ).

cnf(c_0_199,negated_conjecture,
    ( minsol_model_ub(esk2_0,esk1_0,esk3_0)
    | minsol_model_max(esk1_0,esk2_0,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_192]),c_0_159])]) ).

cnf(c_0_200,plain,
    ( model_ub(X1,X2,X3)
    | ~ model_max(X2,X1,X3)
    | ~ lesseq(X1,X2)
    | ~ lesseq(X2,X1) ),
    inference(spm,[status(thm)],[c_0_190,c_0_55]) ).

cnf(c_0_201,plain,
    ( model_ub(X1,X2,sum(c,max(X2,X3)))
    | lesseq(X2,X1)
    | ~ lesseq(X3,X2) ),
    inference(spm,[status(thm)],[c_0_86,c_0_193]) ).

cnf(c_0_202,negated_conjecture,
    ( ~ minsol_model_ub(esk1_0,esk2_0,esk3_0)
    | ~ minsol_model_max(esk1_0,esk2_0,esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_203,negated_conjecture,
    ( minsol_model_ub(esk1_0,esk2_0,esk3_0)
    | lesseq(esk2_0,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_194]),c_0_165]),c_0_27])]) ).

cnf(c_0_204,negated_conjecture,
    ( minsol_model_max(X1,esk2_0,esk3_0)
    | lesseq(esk2_0,esk1_0)
    | ~ lesseq(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_195,c_0_196]) ).

cnf(c_0_205,negated_conjecture,
    ( model_ub(esk1_0,esk1_0,X1)
    | ~ lesseq(X2,esk1_0)
    | ~ lesseq(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_197,c_0_198]) ).

cnf(c_0_206,negated_conjecture,
    ( minsol_model_max(esk1_0,esk2_0,esk3_0)
    | lesseq(esk3_0,X1)
    | ~ model_ub(esk2_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_160,c_0_199]) ).

cnf(c_0_207,plain,
    ( model_ub(X1,X2,sum(c,max(X2,X1)))
    | ~ lesseq(X1,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_31]),c_0_201]) ).

cnf(c_0_208,negated_conjecture,
    ( lesseq(esk2_0,esk1_0)
    | ~ minsol_model_max(esk1_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_209,negated_conjecture,
    ( minsol_model_max(X1,esk2_0,esk3_0)
    | lesseq(esk2_0,esk1_0)
    | lesseq(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_204,c_0_49]) ).

cnf(c_0_210,plain,
    ( lesseq(X1,X2)
    | ~ lesseq(X1,max(X3,X4))
    | ~ lesseq(X3,X2)
    | ~ lesseq(X4,X3) ),
    inference(spm,[status(thm)],[c_0_82,c_0_162]) ).

cnf(c_0_211,negated_conjecture,
    ( model_ub(esk1_0,esk1_0,X1)
    | ~ lesseq(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_205,c_0_27]) ).

cnf(c_0_212,negated_conjecture,
    ( minsol_model_max(esk1_0,esk2_0,esk3_0)
    | lesseq(esk3_0,sum(c,max(esk1_0,esk2_0)))
    | ~ lesseq(esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_206,c_0_207]) ).

cnf(c_0_213,negated_conjecture,
    lesseq(esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_208,c_0_209]) ).

cnf(c_0_214,plain,
    ( lesseq(max(X1,X2),X3)
    | ~ lesseq(X1,X3)
    | ~ lesseq(X2,X1) ),
    inference(spm,[status(thm)],[c_0_210,c_0_27]) ).

cnf(c_0_215,negated_conjecture,
    ( lesseq(esk1_0,X1)
    | ~ lesseq(esk3_0,sum(c,X1)) ),
    inference(spm,[status(thm)],[c_0_127,c_0_211]) ).

cnf(c_0_216,negated_conjecture,
    ( minsol_model_max(esk1_0,esk2_0,esk3_0)
    | lesseq(esk3_0,sum(c,max(esk1_0,esk2_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_213])]) ).

cnf(c_0_217,plain,
    ( model_max(X1,X2,X3)
    | ~ lesseq(sum(c,X4),X3)
    | ~ lesseq(max(X1,X2),X4) ),
    inference(spm,[status(thm)],[c_0_157,c_0_61]) ).

cnf(c_0_218,negated_conjecture,
    lesseq(sum(c,esk1_0),esk3_0),
    inference(spm,[status(thm)],[c_0_81,c_0_159]) ).

cnf(c_0_219,plain,
    ( max(X1,X2) = X3
    | ~ lesseq(X3,max(X1,X2))
    | ~ lesseq(X1,X3)
    | ~ lesseq(X2,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_214]) ).

cnf(c_0_220,negated_conjecture,
    ( minsol_model_max(esk1_0,esk2_0,esk3_0)
    | lesseq(esk1_0,max(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_221,plain,
    ( lesseq(X1,max(X2,X1))
    | ~ lesseq(X1,X2) ),
    inference(spm,[status(thm)],[c_0_127,c_0_207]) ).

cnf(c_0_222,negated_conjecture,
    ( model_max(X1,X2,esk3_0)
    | ~ lesseq(max(X1,X2),esk1_0) ),
    inference(spm,[status(thm)],[c_0_217,c_0_218]) ).

cnf(c_0_223,negated_conjecture,
    ( max(esk1_0,esk2_0) = esk1_0
    | minsol_model_max(esk1_0,esk2_0,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_27]),c_0_213])]) ).

cnf(c_0_224,plain,
    ( model_ub(X1,X2,X3)
    | ~ model_max(X4,X2,X3)
    | ~ lesseq(X1,max(X4,X2))
    | ~ lesseq(X2,X4) ),
    inference(spm,[status(thm)],[c_0_57,c_0_221]) ).

cnf(c_0_225,negated_conjecture,
    model_max(esk1_0,esk2_0,esk3_0),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_27])]),c_0_35]) ).

cnf(c_0_226,plain,
    ( model_ub(X1,X2,X3)
    | ~ model_max(X1,X2,X3)
    | ~ lesseq(X2,X1) ),
    inference(spm,[status(thm)],[c_0_224,c_0_76]) ).

cnf(c_0_227,negated_conjecture,
    ( minsol_model_max(esk1_0,esk2_0,esk3_0)
    | model_max(esk1_0,esk2_0,esk4_3(esk1_0,esk2_0,esk3_0)) ),
    inference(spm,[status(thm)],[c_0_175,c_0_225]) ).

cnf(c_0_228,negated_conjecture,
    ( minsol_model_max(esk1_0,esk2_0,esk3_0)
    | model_ub(esk1_0,esk2_0,esk4_3(esk1_0,esk2_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_213])]) ).

cnf(c_0_229,negated_conjecture,
    ( minsol_model_max(esk1_0,esk2_0,esk3_0)
    | lesseq(esk3_0,esk4_3(esk1_0,esk2_0,esk3_0)) ),
    inference(spm,[status(thm)],[c_0_167,c_0_228]) ).

cnf(c_0_230,negated_conjecture,
    minsol_model_max(esk1_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_229]),c_0_225])]) ).

cnf(c_0_231,negated_conjecture,
    ( minsol_model_ub(esk1_0,esk2_0,esk3_0)
    | lesseq(sum(c,esk1_0),esk5_3(esk1_0,esk2_0,esk3_0)) ),
    inference(spm,[status(thm)],[c_0_79,c_0_172]) ).

cnf(c_0_232,negated_conjecture,
    ( lesseq(esk3_0,X1)
    | ~ model_max(esk1_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_230]) ).

cnf(c_0_233,negated_conjecture,
    ( esk5_3(esk1_0,esk2_0,esk3_0) = esk3_0
    | minsol_model_ub(esk1_0,esk2_0,esk3_0)
    | ~ lesseq(esk3_0,sum(c,esk1_0)) ),
    inference(spm,[status(thm)],[c_0_178,c_0_231]) ).

cnf(c_0_234,negated_conjecture,
    lesseq(esk3_0,sum(c,esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_88]),c_0_213])]) ).

cnf(c_0_235,negated_conjecture,
    ~ minsol_model_ub(esk1_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_230])]) ).

cnf(c_0_236,negated_conjecture,
    esk5_3(esk1_0,esk2_0,esk3_0) = esk3_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_234])]),c_0_235]) ).

cnf(c_0_237,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_236]),c_0_165]),c_0_27])]),c_0_235]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : NUM861+1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.12/0.32  % Computer : n027.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 2400
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Mon Oct  2 15:24:30 EDT 2023
% 0.12/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.x4U6UynKBM/E---3.1_18373.p
% 138.23/17.97  # Version: 3.1pre001
% 138.23/17.97  # Preprocessing class: FSMSSMSSSSSNFFN.
% 138.23/17.97  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 138.23/17.97  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 138.23/17.97  # Starting new_bool_3 with 300s (1) cores
% 138.23/17.97  # Starting new_bool_1 with 300s (1) cores
% 138.23/17.97  # Starting sh5l with 300s (1) cores
% 138.23/17.97  # new_bool_1 with pid 18454 completed with status 0
% 138.23/17.97  # Result found by new_bool_1
% 138.23/17.97  # Preprocessing class: FSMSSMSSSSSNFFN.
% 138.23/17.97  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 138.23/17.97  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 138.23/17.97  # Starting new_bool_3 with 300s (1) cores
% 138.23/17.97  # Starting new_bool_1 with 300s (1) cores
% 138.23/17.97  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 138.23/17.97  # Search class: FGHSF-FFMF32-SFFFFFNN
% 138.23/17.97  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 138.23/17.97  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 138.23/17.97  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 18457 completed with status 0
% 138.23/17.97  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 138.23/17.97  # Preprocessing class: FSMSSMSSSSSNFFN.
% 138.23/17.97  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 138.23/17.97  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 138.23/17.97  # Starting new_bool_3 with 300s (1) cores
% 138.23/17.97  # Starting new_bool_1 with 300s (1) cores
% 138.23/17.97  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 138.23/17.97  # Search class: FGHSF-FFMF32-SFFFFFNN
% 138.23/17.97  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 138.23/17.97  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 138.23/17.97  # Preprocessing time       : 0.001 s
% 138.23/17.97  # Presaturation interreduction done
% 138.23/17.97  
% 138.23/17.97  # Proof found!
% 138.23/17.97  # SZS status Theorem
% 138.23/17.97  # SZS output start CNFRefutation
% See solution above
% 138.23/17.97  # Parsed axioms                        : 14
% 138.23/17.97  # Removed by relevancy pruning/SinE    : 1
% 138.23/17.97  # Initial clauses                      : 26
% 138.23/17.97  # Removed in clause preprocessing      : 0
% 138.23/17.97  # Initial clauses in saturation        : 26
% 138.23/17.97  # Processed clauses                    : 27985
% 138.23/17.97  # ...of these trivial                  : 97
% 138.23/17.97  # ...subsumed                          : 22537
% 138.23/17.97  # ...remaining for further processing  : 5351
% 138.23/17.97  # Other redundant clauses eliminated   : 0
% 138.23/17.97  # Clauses deleted for lack of memory   : 0
% 138.23/17.97  # Backward-subsumed                    : 824
% 138.23/17.97  # Backward-rewritten                   : 1171
% 138.23/17.97  # Generated clauses                    : 899937
% 138.23/17.97  # ...of the previous two non-redundant : 883216
% 138.23/17.97  # ...aggressively subsumed             : 0
% 138.23/17.97  # Contextual simplify-reflections      : 130
% 138.23/17.97  # Paramodulations                      : 899508
% 138.23/17.97  # Factorizations                       : 374
% 138.23/17.97  # NegExts                              : 0
% 138.23/17.97  # Equation resolutions                 : 0
% 138.23/17.97  # Total rewrite steps                  : 89338
% 138.23/17.97  # Propositional unsat checks           : 1
% 138.23/17.97  #    Propositional check models        : 0
% 138.23/17.97  #    Propositional check unsatisfiable : 0
% 138.23/17.97  #    Propositional clauses             : 0
% 138.23/17.97  #    Propositional clauses after purity: 0
% 138.23/17.97  #    Propositional unsat core size     : 0
% 138.23/17.97  #    Propositional preprocessing time  : 0.000
% 138.23/17.97  #    Propositional encoding time       : 1.207
% 138.23/17.97  #    Propositional solver time         : 0.365
% 138.23/17.97  #    Success case prop preproc time    : 0.000
% 138.23/17.97  #    Success case prop encoding time   : 0.000
% 138.23/17.97  #    Success case prop solver time     : 0.000
% 138.23/17.97  # Current number of processed clauses  : 3275
% 138.23/17.97  #    Positive orientable unit clauses  : 20
% 138.23/17.97  #    Positive unorientable unit clauses: 0
% 138.23/17.97  #    Negative unit clauses             : 1
% 138.23/17.97  #    Non-unit-clauses                  : 3254
% 138.23/17.97  # Current number of unprocessed clauses: 849596
% 138.23/17.97  # ...number of literals in the above   : 4275261
% 138.23/17.97  # Current number of archived formulas  : 0
% 138.23/17.97  # Current number of archived clauses   : 2076
% 138.23/17.97  # Clause-clause subsumption calls (NU) : 1556764
% 138.23/17.97  # Rec. Clause-clause subsumption calls : 738059
% 138.23/17.97  # Non-unit clause-clause subsumptions  : 23454
% 138.23/17.97  # Unit Clause-clause subsumption calls : 8144
% 138.23/17.97  # Rewrite failures with RHS unbound    : 0
% 138.23/17.97  # BW rewrite match attempts            : 585
% 138.23/17.97  # BW rewrite match successes           : 26
% 138.23/17.97  # Condensation attempts                : 0
% 138.23/17.97  # Condensation successes               : 0
% 138.23/17.97  # Termbank termtop insertions          : 21457535
% 138.23/17.97  
% 138.23/17.97  # -------------------------------------------------
% 138.23/17.97  # User time                : 16.624 s
% 138.23/17.97  # System time              : 0.571 s
% 138.23/17.97  # Total time               : 17.195 s
% 138.23/17.97  # Maximum resident set size: 1876 pages
% 138.23/17.97  
% 138.23/17.97  # -------------------------------------------------
% 138.23/17.97  # User time                : 16.625 s
% 138.23/17.97  # System time              : 0.573 s
% 138.23/17.97  # Total time               : 17.198 s
% 138.23/17.97  # Maximum resident set size: 1732 pages
% 138.23/17.97  % E---3.1 exiting
% 138.23/17.97  % E---3.1 exiting
%------------------------------------------------------------------------------