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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWC176+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 02:43:20 PM UTC 2026

% Result   : Theorem 0.31s 0.78s
% Output   : CNFRefutation 0.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   49 (  18 unt;   0 def)
%            Number of atoms       :  284 (  64 equ)
%            Maximal formula atoms :   32 (   5 avg)
%            Number of connectives :  354 ( 119   ~; 120   |;  65   &)
%                                         (   3 <=>;  47  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  11 con; 0-2 aty)
%            Number of variables   :  128 (   0 sgn  80   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ( nil = X3
                    & nil != X4 )
                  | ! [X15] :
                      ( ssItem(X15)
                     => ! [X16] :
                          ( neq(X15,X16)
                          | ! [X17] :
                              ( ssList(X17)
                             => ! [X18] :
                                  ( ssList(X18)
                                 => app(app(app(X17,cons(X15,nil)),cons(X16,nil)),X18) != X1 ) )
                          | ~ ssItem(X16) ) )
                  | ! [X5] :
                      ( ssList(X5)
                     => ! [X6] :
                          ( ? [X11] :
                              ( ? [X12] :
                                  ( ? [X13] :
                                      ( ? [X14] :
                                          ( lt(X13,X11)
                                          & app(X14,cons(X13,nil)) = X3
                                          & ssList(X14) )
                                      & ssItem(X13) )
                                  & app(cons(X11,nil),X12) = X6
                                  & ssList(X12) )
                              & ssItem(X11) )
                          | ? [X7] :
                              ( ? [X8] :
                                  ( ? [X9] :
                                      ( ? [X10] :
                                          ( lt(X7,X9)
                                          & app(cons(X9,nil),X10) = X3
                                          & ssList(X10) )
                                      & ssItem(X9) )
                                  & app(X8,cons(X7,nil)) = X5
                                  & ssList(X8) )
                              & ssItem(X7) )
                          | ~ strictorderedP(X3)
                          | app(app(X5,X3),X6) != X4
                          | ~ ssList(X6) ) )
                  | X1 != X3
                  | X2 != X4
                  | ~ ssList(X4) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(ax1,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax1) ).

fof(ax82,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax82) ).

fof(ax16,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ssList(cons(X2,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(ax26,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ssList(app(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).

fof(ax12,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( strictorderedP(X1)
      <=> ! [X2] :
            ( ssItem(X2)
           => ! [X3] :
                ( ssItem(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
                             => lt(X2,X3) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax12) ).

fof(ax81,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) = app(cons(X2,nil),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).

fof(ax33,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( lt(X1,X2)
           => ~ lt(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax33) ).

fof(c_0_9,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ( nil = X3
                      & nil != X4 )
                    | ! [X15] :
                        ( ssItem(X15)
                       => ! [X16] :
                            ( neq(X15,X16)
                            | ! [X17] :
                                ( ssList(X17)
                               => ! [X18] :
                                    ( ssList(X18)
                                   => app(app(app(X17,cons(X15,nil)),cons(X16,nil)),X18) != X1 ) )
                            | ~ ssItem(X16) ) )
                    | ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ? [X11] :
                                ( ? [X12] :
                                    ( ? [X13] :
                                        ( ? [X14] :
                                            ( lt(X13,X11)
                                            & app(X14,cons(X13,nil)) = X3
                                            & ssList(X14) )
                                        & ssItem(X13) )
                                    & app(cons(X11,nil),X12) = X6
                                    & ssList(X12) )
                                & ssItem(X11) )
                            | ? [X7] :
                                ( ? [X8] :
                                    ( ? [X9] :
                                        ( ? [X10] :
                                            ( lt(X7,X9)
                                            & app(cons(X9,nil),X10) = X3
                                            & ssList(X10) )
                                        & ssItem(X9) )
                                    & app(X8,cons(X7,nil)) = X5
                                    & ssList(X8) )
                                & ssItem(X7) )
                            | ~ strictorderedP(X3)
                            | app(app(X5,X3),X6) != X4
                            | ~ ssList(X6) ) )
                    | X1 != X3
                    | X2 != X4
                    | ~ ssList(X4) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_10,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ( nil = X3
                      & nil != X4 )
                    | ! [X15] :
                        ( ssItem(X15)
                       => ! [X16] :
                            ( neq(X15,X16)
                            | ! [X17] :
                                ( ssList(X17)
                               => ! [X18] :
                                    ( ssList(X18)
                                   => app(app(app(X17,cons(X15,nil)),cons(X16,nil)),X18) != X1 ) )
                            | ~ ssItem(X16) ) )
                    | ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ? [X11] :
                                ( ? [X12] :
                                    ( ? [X13] :
                                        ( ? [X14] :
                                            ( lt(X13,X11)
                                            & app(X14,cons(X13,nil)) = X3
                                            & ssList(X14) )
                                        & ssItem(X13) )
                                    & app(cons(X11,nil),X12) = X6
                                    & ssList(X12) )
                                & ssItem(X11) )
                            | ? [X7] :
                                ( ? [X8] :
                                    ( ? [X9] :
                                        ( ? [X10] :
                                            ( lt(X7,X9)
                                            & app(cons(X9,nil),X10) = X3
                                            & ssList(X10) )
                                        & ssItem(X9) )
                                    & app(X8,cons(X7,nil)) = X5
                                    & ssList(X8) )
                                & ssItem(X7) )
                            | ~ strictorderedP(X3)
                            | app(app(X5,X3),X6) != X4
                            | ~ ssList(X6) ) )
                    | X1 != X3
                    | X2 != X4
                    | ~ ssList(X4) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_11,plain,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    inference(fof_simplification,[status(thm)],[ax1]) ).

fof(c_0_12,negated_conjecture,
    ! [X269,X270,X271,X272,X273,X274,X275,X276] :
      ( ( nil != esk50_0
        | nil = esk51_0 )
      & ~ neq(esk54_0,esk55_0)
      & app(app(app(esk56_0,cons(esk54_0,nil)),cons(esk55_0,nil)),esk57_0) = esk48_0
      & ssList(esk57_0)
      & ssList(esk56_0)
      & ssItem(esk55_0)
      & ssItem(esk54_0)
      & ( ~ lt(X275,X273)
        | app(X276,cons(X275,nil)) != esk50_0
        | ~ ssList(X276)
        | ~ ssItem(X275)
        | app(cons(X273,nil),X274) != esk53_0
        | ~ ssList(X274)
        | ~ ssItem(X273) )
      & ( ~ lt(X269,X271)
        | app(cons(X271,nil),X272) != esk50_0
        | ~ ssList(X272)
        | ~ ssItem(X271)
        | app(X270,cons(X269,nil)) != esk52_0
        | ~ ssList(X270)
        | ~ ssItem(X269) )
      & strictorderedP(esk50_0)
      & app(app(esk52_0,esk50_0),esk53_0) = esk51_0
      & ssList(esk53_0)
      & ssList(esk52_0)
      & esk48_0 = esk50_0
      & esk49_0 = esk51_0
      & ssList(esk51_0)
      & ssList(esk50_0)
      & ssList(esk49_0)
      & ssList(esk48_0) ),
    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_10])])])])]) ).

fof(c_0_13,plain,
    ! [X19,X20] :
      ( ( ~ ssItem(X19)
        | ~ ssItem(X20)
        | neq(X19,X20)
        | X19 = X20 )
      & ( ~ ssItem(X19)
        | ~ ssItem(X20)
        | X19 != X20
        | ~ neq(X19,X20) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])]) ).

cnf(c_0_14,negated_conjecture,
    app(app(app(esk56_0,cons(esk54_0,nil)),cons(esk55_0,nil)),esk57_0) = esk48_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_16,plain,
    ! [X234,X235,X236] :
      ( app(app(X234,X235),X236) = app(X234,app(X235,X236))
      | ~ ssList(X236)
      | ~ ssList(X235)
      | ~ ssList(X234) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])])]) ).

cnf(c_0_17,negated_conjecture,
    ~ neq(esk54_0,esk55_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | neq(X1,X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    ssItem(esk55_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_20,negated_conjecture,
    ssItem(esk54_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_21,negated_conjecture,
    app(app(app(esk56_0,cons(esk54_0,nil)),cons(esk55_0,nil)),esk57_0) = esk50_0,
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_22,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(app(X1,X2),X3) = app(X1,app(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,negated_conjecture,
    ssList(esk57_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_24,negated_conjecture,
    esk55_0 = esk54_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).

fof(c_0_25,plain,
    ! [X123,X124] :
      ( ssList(cons(X124,X123))
      | ~ ssItem(X124)
      | ~ ssList(X123) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ ssList(cons(esk54_0,nil))
    | ~ ssList(app(esk56_0,cons(esk54_0,nil)))
    | app(app(esk56_0,cons(esk54_0,nil)),app(cons(esk54_0,nil),esk57_0)) = esk50_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),c_0_24]),c_0_24]) ).

cnf(c_0_27,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | ssList(cons(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_28,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

fof(c_0_29,plain,
    ! [X142,X143] :
      ( ssList(app(X142,X143))
      | ~ ssList(X143)
      | ~ ssList(X142) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ ssList(app(esk56_0,cons(esk54_0,nil)))
    | app(app(esk56_0,cons(esk54_0,nil)),app(cons(esk54_0,nil),esk57_0)) = esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_20])]) ).

cnf(c_0_31,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ssList(app(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_32,negated_conjecture,
    ssList(esk56_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_33,plain,
    ! [X90,X91,X92,X93,X94,X95] :
      ( ( ~ ssList(X90)
        | strictorderedP(X90)
        | ~ lt(esk30_1(X90),esk31_1(X90)) )
      & ( ~ ssList(X90)
        | strictorderedP(X90)
        | app(app(esk32_1(X90),cons(esk30_1(X90),esk33_1(X90))),cons(esk31_1(X90),esk34_1(X90))) = X90 )
      & ( ~ ssList(X90)
        | strictorderedP(X90)
        | ssList(esk34_1(X90)) )
      & ( ~ ssList(X90)
        | strictorderedP(X90)
        | ssList(esk33_1(X90)) )
      & ( ~ ssList(X90)
        | strictorderedP(X90)
        | ssList(esk32_1(X90)) )
      & ( ~ ssList(X90)
        | strictorderedP(X90)
        | ssItem(esk31_1(X90)) )
      & ( ~ ssList(X90)
        | strictorderedP(X90)
        | ssItem(esk30_1(X90)) )
      & ( ~ ssList(X90)
        | lt(X91,X92)
        | app(app(X93,cons(X91,X94)),cons(X92,X95)) != X90
        | ~ ssList(X95)
        | ~ ssList(X94)
        | ~ ssList(X93)
        | ~ ssItem(X92)
        | ~ ssItem(X91)
        | ~ strictorderedP(X90) ) ),
    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)],[ax12])])])])])]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ ssList(cons(esk54_0,nil))
    | app(app(esk56_0,cons(esk54_0,nil)),app(cons(esk54_0,nil),esk57_0)) = esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

fof(c_0_35,plain,
    ! [X232,X233] :
      ( cons(X233,X232) = app(cons(X233,nil),X232)
      | ~ ssItem(X233)
      | ~ ssList(X232) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])]) ).

fof(c_0_36,plain,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( lt(X1,X2)
           => ~ lt(X2,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[ax33]) ).

cnf(c_0_37,plain,
    ( ~ ssList(X1)
    | app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
    | ~ ssList(X6)
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssItem(X3)
    | ~ ssItem(X2)
    | ~ strictorderedP(X1)
    | lt(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_38,negated_conjecture,
    app(app(esk56_0,cons(esk54_0,nil)),app(cons(esk54_0,nil),esk57_0)) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_27]),c_0_28]),c_0_20])]) ).

cnf(c_0_39,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | cons(X2,X1) = app(cons(X2,nil),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_40,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_41,plain,
    ! [X156,X157] :
      ( ~ lt(X157,X156)
      | ~ lt(X156,X157)
      | ~ ssItem(X157)
      | ~ ssItem(X156) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).

cnf(c_0_42,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssList(X5)
    | ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | lt(X1,X2) ),
    inference(er,[status(thm)],[c_0_37]) ).

cnf(c_0_43,negated_conjecture,
    app(app(esk56_0,cons(esk54_0,nil)),cons(esk54_0,esk57_0)) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_23]),c_0_20])]) ).

cnf(c_0_44,negated_conjecture,
    strictorderedP(esk50_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_45,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_40,c_0_15]) ).

cnf(c_0_46,plain,
    ( ~ lt(X2,X1)
    | ~ lt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_47,negated_conjecture,
    lt(esk54_0,esk54_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_45]),c_0_23]),c_0_28]),c_0_32]),c_0_20])]) ).

cnf(c_0_48,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_47]),c_0_20])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWC176+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45  % Computer : n006.cluster.edu
% 0.18/0.45  % Model    : x86_64 x86_64
% 0.18/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45  % Memory   : 8046.5625MB
% 0.18/0.45  % OS       : Linux 6.8.0-71-generic
% 0.18/0.45  % CPULimit : 300
% 0.18/0.45  % WCLimit  : 300
% 0.18/0.45  % DateTime : Mon Sep 21 08:01:42 UTC 2026
% 0.18/0.46  % CPUTime  : 
% 0.18/0.46  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.53  Running first-order theorem proving
% 0.23/0.53  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/benchmark/theBenchmark.p
% 0.31/0.78  % Version: 3.5.1
% 0.31/0.78  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.31/0.78  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.31/0.78  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.31/0.78  % Starting new_bool_3 with 300s (1) cores
% 0.31/0.78  % Starting new_bool_1 with 300s (1) cores
% 0.31/0.78  % Starting sh5l with 300s (1) cores
% 0.31/0.78  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2375529 completed with status 0
% 0.31/0.78  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.31/0.78  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.31/0.78  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.31/0.78  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.31/0.78  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.31/0.78  % No SInE strategy applied
% 0.31/0.78  % Search class: FGHSF-FSLM21-MFFFFFNN
% 0.31/0.78  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.31/0.78  % Starting SubtermCWHack with 136s (1) cores
% 0.31/0.78  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.31/0.78  % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 136s (1) cores
% 0.31/0.78  % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 0.31/0.78  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 0.31/0.78  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2375537 completed with status 0
% 0.31/0.78  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.31/0.78  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.31/0.78  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.31/0.78  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.31/0.78  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.31/0.78  % No SInE strategy applied
% 0.31/0.78  % Search class: FGHSF-FSLM21-MFFFFFNN
% 0.31/0.78  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.31/0.78  % Starting SubtermCWHack with 136s (1) cores
% 0.31/0.78  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.31/0.78  % Preprocessing time       : 0.006 s
% 0.31/0.78  % Presaturation interreduction done
% 0.31/0.78  
% 0.31/0.78  % Proof found!
% 0.31/0.78  % SZS status Theorem
% 0.31/0.78  % SZS output start CNFRefutation
% See solution above
% 0.31/0.78  % Parsed axioms                        : 96
% 0.31/0.78  % Removed by relevancy pruning/SinE    : 0
% 0.31/0.78  % Initial clauses                      : 209
% 0.31/0.78  % Removed in clause preprocessing      : 2
% 0.31/0.78  % Initial clauses in saturation        : 207
% 0.31/0.78  % Processed clauses                    : 750
% 0.31/0.78  % ...of these trivial                  : 11
% 0.31/0.78  % ...subsumed                          : 72
% 0.31/0.78  % ...remaining for further processing  : 667
% 0.31/0.78  % Other redundant clauses eliminated   : 70
% 0.31/0.78  % Clauses deleted for lack of memory   : 0
% 0.31/0.78  % Backward-subsumed                    : 17
% 0.31/0.78  % Backward-rewritten                   : 47
% 0.31/0.78  % Generated clauses                    : 1621
% 0.31/0.78  % ...of the previous two non-redundant : 1425
% 0.31/0.78  % ...aggressively subsumed             : 0
% 0.31/0.78  % Contextual simplify-reflections      : 22
% 0.31/0.78  % Paramodulations                      : 1548
% 0.31/0.78  % Factorizations                       : 0
% 0.31/0.78  % NegExts                              : 0
% 0.31/0.78  % Equation resolutions                 : 75
% 0.31/0.78  % Disequality decompositions           : 0
% 0.31/0.78  % Total rewrite steps                  : 1510
% 0.31/0.78  % ...of those cached                   : 1445
% 0.31/0.78  % Propositional unsat checks           : 0
% 0.31/0.78  %    Propositional check models        : 0
% 0.31/0.78  %    Propositional check unsatisfiable : 0
% 0.31/0.78  %    Propositional clauses             : 0
% 0.31/0.78  %    Propositional clauses after purity: 0
% 0.31/0.78  %    Propositional unsat core size     : 0
% 0.31/0.78  %    Propositional preprocessing time  : 0.000
% 0.31/0.78  %    Propositional encoding time       : 0.000
% 0.31/0.78  %    Propositional solver time         : 0.000
% 0.31/0.78  %    Success case prop preproc time    : 0.000
% 0.31/0.78  %    Success case prop encoding time   : 0.000
% 0.31/0.78  %    Success case prop solver time     : 0.000
% 0.31/0.78  % Current number of processed clauses  : 379
% 0.31/0.78  %    Positive orientable unit clauses  : 86
% 0.31/0.78  %    Positive unorientable unit clauses: 0
% 0.31/0.78  %    Negative unit clauses             : 3
% 0.31/0.78  %    Non-unit-clauses                  : 290
% 0.31/0.78  % Current number of unprocessed clauses: 1076
% 0.31/0.78  % ...number of literals in the above   : 5781
% 0.31/0.78  % Current number of archived formulas  : 0
% 0.31/0.78  % Current number of archived clauses   : 265
% 0.31/0.78  % Clause-clause subsumption calls (NU) : 22291
% 0.31/0.78  % Rec. Clause-clause subsumption calls : 8450
% 0.31/0.78  % Non-unit clause-clause subsumptions  : 103
% 0.31/0.78  % Unit Clause-clause subsumption calls : 1298
% 0.31/0.78  % Rewrite failures with RHS unbound    : 0
% 0.31/0.78  % BW rewrite match attempts            : 48
% 0.31/0.78  % BW rewrite match successes           : 23
% 0.31/0.78  % Condensation attempts                : 0
% 0.31/0.78  % Condensation successes               : 0
% 0.31/0.78  % Termbank termtop insertions          : 54535
% 0.31/0.78  % Search garbage collected termcells   : 4522
% 0.31/0.78  
% 0.31/0.78  % -------------------------------------------------
% 0.31/0.78  % User time                : 0.142 s
% 0.31/0.78  % System time              : 0.013 s
% 0.31/0.78  % Total time               : 0.155 s
% 0.31/0.78  % Maximum resident set size: 4028 pages
% 0.31/0.78  
% 0.31/0.78  % -------------------------------------------------
% 0.31/0.78  % User time                : 0.598 s
% 0.31/0.78  % System time              : 0.052 s
% 0.31/0.78  % Total time               : 0.650 s
% 0.31/0.78  % Maximum resident set size: 4864 pages
% 0.31/0.78  % E exiting
%------------------------------------------------------------------------------