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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWC052+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 : n014.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 02:42:47 PM UTC 2026

% Result   : Theorem 0.19s 0.58s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   73 (  16 unt;   0 def)
%            Number of atoms       :  278 (  69 equ)
%            Maximal formula atoms :   30 (   3 avg)
%            Number of connectives :  354 ( 149   ~; 144   |;  37   &)
%                                         (   3 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   68 (   0 sgn  39   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ( ( ? [X6] :
                          ( segmentP(X1,X6)
                          & segmentP(X2,X6)
                          & neq(X6,nil)
                          & ssList(X6) )
                      | ~ neq(X2,nil) )
                    & ( nil = X1
                      | nil != X2 ) )
                  | ( neq(X4,nil)
                    & ! [X5] :
                        ( ~ frontsegP(X3,X5)
                        | ~ frontsegP(X4,X5)
                        | ~ neq(X5,nil)
                        | ~ ssList(X5) ) )
                  | ( nil = X4
                    & nil != X3 )
                  | X1 != X3
                  | X2 != X4
                  | ~ ssList(X4) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(ax46,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( frontsegP(nil,X1)
      <=> nil = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax46) ).

fof(ax58,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( segmentP(nil,X1)
      <=> nil = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax58) ).

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

fof(ax57,axiom,
    ! [X1] :
      ( ssList(X1)
     => segmentP(X1,nil) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).

fof(ax56,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( segmentP(X1,X2)
                   => segmentP(app(app(X3,X1),X4),X2) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax56) ).

fof(ax28,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(nil,X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).

fof(ax5,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( frontsegP(X1,X2)
          <=> ? [X3] :
                ( app(X2,X3) = X1
                & ssList(X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).

fof(ax55,axiom,
    ! [X1] :
      ( ssList(X1)
     => segmentP(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax55) ).

fof(c_0_9,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ( ( ? [X6] :
                            ( segmentP(X1,X6)
                            & segmentP(X2,X6)
                            & neq(X6,nil)
                            & ssList(X6) )
                        | ~ neq(X2,nil) )
                      & ( nil = X1
                        | nil != X2 ) )
                    | ( neq(X4,nil)
                      & ! [X5] :
                          ( ~ frontsegP(X3,X5)
                          | ~ frontsegP(X4,X5)
                          | ~ neq(X5,nil)
                          | ~ ssList(X5) ) )
                    | ( nil = X4
                      & nil != X3 )
                    | 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] :
                    ( ( ( ? [X6] :
                            ( segmentP(X1,X6)
                            & segmentP(X2,X6)
                            & neq(X6,nil)
                            & ssList(X6) )
                        | ~ neq(X2,nil) )
                      & ( nil = X1
                        | nil != X2 ) )
                    | ( neq(X4,nil)
                      & ! [X5] :
                          ( ~ frontsegP(X3,X5)
                          | ~ frontsegP(X4,X5)
                          | ~ neq(X5,nil)
                          | ~ ssList(X5) ) )
                    | ( nil = X4
                      & nil != X3 )
                    | X1 != X3
                    | X2 != X4
                    | ~ ssList(X4) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_11,negated_conjecture,
    ! [X12] :
      ( ( nil != esk1_0
        | ~ segmentP(esk1_0,X12)
        | ~ segmentP(esk2_0,X12)
        | ~ neq(X12,nil)
        | ~ ssList(X12) )
      & ( nil != esk1_0
        | neq(esk2_0,nil) )
      & ( nil = esk2_0
        | ~ segmentP(esk1_0,X12)
        | ~ segmentP(esk2_0,X12)
        | ~ neq(X12,nil)
        | ~ ssList(X12) )
      & ( nil = esk2_0
        | neq(esk2_0,nil) )
      & ( ~ neq(esk4_0,nil)
        | frontsegP(esk3_0,esk5_0) )
      & ( ~ neq(esk4_0,nil)
        | frontsegP(esk4_0,esk5_0) )
      & ( ~ neq(esk4_0,nil)
        | neq(esk5_0,nil) )
      & ( ~ neq(esk4_0,nil)
        | ssList(esk5_0) )
      & ( nil != esk4_0
        | nil = esk3_0 )
      & esk1_0 = esk3_0
      & esk2_0 = esk4_0
      & ssList(esk4_0)
      & ssList(esk3_0)
      & ssList(esk2_0)
      & ssList(esk1_0) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ neq(esk4_0,nil)
    | frontsegP(esk3_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_13,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    ( nil != esk1_0
    | neq(esk2_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,negated_conjecture,
    ( ~ neq(esk4_0,nil)
    | frontsegP(esk1_0,esk5_0) ),
    inference(rw,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    ( esk1_0 != nil
    | neq(esk4_0,nil) ),
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    ( nil != esk4_0
    | nil = esk3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_19,negated_conjecture,
    ( nil != esk1_0
    | ~ segmentP(esk1_0,X1)
    | ~ segmentP(esk2_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ neq(esk4_0,nil)
    | ssList(esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_21,plain,
    ! [X58] :
      ( ( ~ ssList(X58)
        | frontsegP(nil,X58)
        | nil != X58 )
      & ( ~ ssList(X58)
        | nil = X58
        | ~ frontsegP(nil,X58) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax46])])])]) ).

cnf(c_0_22,negated_conjecture,
    ( esk1_0 != nil
    | frontsegP(esk1_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_23,negated_conjecture,
    ( esk4_0 != nil
    | esk1_0 = nil ),
    inference(rw,[status(thm)],[c_0_18,c_0_13]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ ssList(X1)
    | ~ segmentP(esk4_0,X1)
    | ~ segmentP(esk1_0,X1)
    | esk1_0 != nil ),
    inference(rw,[status(thm)],[c_0_19,c_0_15]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ neq(esk4_0,nil)
    | neq(esk5_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_26,negated_conjecture,
    ( esk1_0 != nil
    | ssList(esk5_0) ),
    inference(spm,[status(thm)],[c_0_20,c_0_17]) ).

cnf(c_0_27,plain,
    ( ~ ssList(X1)
    | ~ frontsegP(nil,X1)
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_28,negated_conjecture,
    ( esk4_0 != nil
    | frontsegP(nil,esk5_0) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

fof(c_0_29,plain,
    ! [X30] :
      ( ( ~ ssList(X30)
        | segmentP(nil,X30)
        | nil != X30 )
      & ( ~ ssList(X30)
        | nil = X30
        | ~ segmentP(nil,X30) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])])]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ segmentP(esk4_0,esk5_0)
    | ~ segmentP(esk1_0,esk5_0)
    | esk1_0 != nil ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_17]),c_0_26]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ ssList(esk5_0)
    | esk4_0 != nil
    | esk5_0 = nil ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_32,plain,
    ( ~ ssList(X1)
    | nil != X1
    | segmentP(nil,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_33,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ segmentP(esk4_0,esk5_0)
    | ~ segmentP(nil,esk5_0)
    | esk4_0 != nil ),
    inference(spm,[status(thm)],[c_0_30,c_0_23]) ).

cnf(c_0_35,negated_conjecture,
    ( esk4_0 != nil
    | esk5_0 = nil ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_26]),c_0_23]) ).

cnf(c_0_36,plain,
    segmentP(nil,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_32]),c_0_33])]) ).

fof(c_0_37,plain,
    ! [X29] :
      ( segmentP(X29,nil)
      | ~ ssList(X29) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])])]) ).

fof(c_0_38,plain,
    ! [X25,X26,X27,X28] :
      ( segmentP(app(app(X27,X25),X28),X26)
      | ~ segmentP(X25,X26)
      | ~ ssList(X28)
      | ~ ssList(X27)
      | ~ ssList(X26)
      | ~ ssList(X25) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])])])]) ).

fof(c_0_39,plain,
    ! [X64] :
      ( app(nil,X64) = X64
      | ~ ssList(X64) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])])]) ).

cnf(c_0_40,negated_conjecture,
    ( nil = esk2_0
    | neq(esk2_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ segmentP(esk4_0,nil)
    | esk4_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).

cnf(c_0_42,plain,
    ( ~ ssList(X1)
    | segmentP(X1,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_43,negated_conjecture,
    ssList(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_44,plain,
    ( ~ segmentP(X1,X2)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | segmentP(app(app(X3,X1),X4),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_45,plain,
    ( ~ ssList(X1)
    | app(nil,X1) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

fof(c_0_46,plain,
    ! [X40,X41,X43] :
      ( ( ~ ssList(X40)
        | ~ ssList(X41)
        | frontsegP(X40,X41)
        | app(X41,X43) != X40
        | ~ ssList(X43) )
      & ( ~ ssList(X40)
        | ~ ssList(X41)
        | ~ frontsegP(X40,X41)
        | app(X41,esk10_2(X40,X41)) = X40 )
      & ( ~ ssList(X40)
        | ~ ssList(X41)
        | ~ frontsegP(X40,X41)
        | ssList(esk10_2(X40,X41)) ) ),
    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)],[ax5])])])])])]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ neq(esk4_0,nil)
    | frontsegP(esk4_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_48,negated_conjecture,
    ( neq(esk4_0,nil)
    | esk4_0 = nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_15]),c_0_15]) ).

cnf(c_0_49,negated_conjecture,
    esk4_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).

cnf(c_0_50,plain,
    ( ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ segmentP(X1,X3)
    | segmentP(app(X1,X2),X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_33])]) ).

cnf(c_0_51,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X2,X1)
    | app(X1,esk10_2(X2,X1)) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_52,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ frontsegP(X1,X2)
    | ssList(esk10_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_53,negated_conjecture,
    ( frontsegP(esk4_0,esk5_0)
    | esk4_0 = nil ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_54,negated_conjecture,
    ( ssList(esk5_0)
    | esk4_0 = nil ),
    inference(spm,[status(thm)],[c_0_20,c_0_48]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ segmentP(esk1_0,X1)
    | ~ segmentP(esk2_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1)
    | nil = esk2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_56,negated_conjecture,
    neq(esk4_0,nil),
    inference(sr,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_57,plain,
    ( ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ frontsegP(X1,X3)
    | ~ segmentP(X3,X2)
    | segmentP(X1,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).

cnf(c_0_58,negated_conjecture,
    frontsegP(esk4_0,esk5_0),
    inference(sr,[status(thm)],[c_0_53,c_0_49]) ).

cnf(c_0_59,negated_conjecture,
    ssList(esk5_0),
    inference(sr,[status(thm)],[c_0_54,c_0_49]) ).

fof(c_0_60,plain,
    ! [X24] :
      ( segmentP(X24,X24)
      | ~ ssList(X24) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])])]) ).

cnf(c_0_61,negated_conjecture,
    ( frontsegP(esk1_0,esk5_0)
    | esk4_0 = nil ),
    inference(spm,[status(thm)],[c_0_16,c_0_48]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ ssList(X1)
    | ~ segmentP(esk4_0,X1)
    | ~ segmentP(esk1_0,X1)
    | esk4_0 = nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_15]),c_0_15]) ).

cnf(c_0_63,negated_conjecture,
    neq(esk5_0,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_56])]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ ssList(X1)
    | ~ segmentP(esk5_0,X1)
    | segmentP(esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_43])]) ).

cnf(c_0_65,plain,
    ( ~ ssList(X1)
    | segmentP(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_66,negated_conjecture,
    frontsegP(esk1_0,esk5_0),
    inference(sr,[status(thm)],[c_0_61,c_0_49]) ).

cnf(c_0_67,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ segmentP(esk4_0,esk5_0)
    | ~ segmentP(esk1_0,esk5_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_59])]),c_0_49]) ).

cnf(c_0_69,negated_conjecture,
    segmentP(esk4_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_59])]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ ssList(X1)
    | ~ segmentP(esk5_0,X1)
    | segmentP(esk1_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_66]),c_0_59]),c_0_67])]) ).

cnf(c_0_71,negated_conjecture,
    ~ segmentP(esk1_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69])]) ).

cnf(c_0_72,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_65]),c_0_59])]),c_0_71]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC052+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38  % Computer : n014.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Mon Sep 21 07:51:35 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  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
% 0.19/0.58  % Version: 3.5.1
% 0.19/0.58  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.58  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.58  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.58  % Starting new_bool_3 with 300s (1) cores
% 0.19/0.58  % Starting new_bool_1 with 300s (1) cores
% 0.19/0.58  % Starting sh5l with 300s (1) cores
% 0.19/0.58  % new_bool_3 with pid 3572456 completed with status 0
% 0.19/0.58  % Result found by new_bool_3
% 0.19/0.58  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.58  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.58  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.58  % Starting new_bool_3 with 300s (1) cores
% 0.19/0.58  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/0.58  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.58  % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.19/0.58  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.58  % Starting SubtermCWHack with 31s (1) cores
% 0.19/0.58  % SubtermCWHack with pid 3572459 completed with status 0
% 0.19/0.58  % Result found by SubtermCWHack
% 0.19/0.58  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.58  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.58  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.58  % Starting new_bool_3 with 300s (1) cores
% 0.19/0.58  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/0.58  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.58  % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.19/0.58  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.58  % Starting SubtermCWHack with 31s (1) cores
% 0.19/0.58  % Preprocessing time       : 0.001 s
% 0.19/0.58  
% 0.19/0.58  % Proof found!
% 0.19/0.58  % SZS status Theorem
% 0.19/0.58  % SZS output start CNFRefutation
% See solution above
% 0.19/0.58  % Parsed axioms                        : 96
% 0.19/0.58  % Removed by relevancy pruning/SinE    : 62
% 0.19/0.58  % Initial clauses                      : 66
% 0.19/0.58  % Removed in clause preprocessing      : 0
% 0.19/0.58  % Initial clauses in saturation        : 66
% 0.19/0.58  % Processed clauses                    : 1725
% 0.19/0.58  % ...of these trivial                  : 4
% 0.19/0.58  % ...subsumed                          : 1295
% 0.19/0.58  % ...remaining for further processing  : 426
% 0.19/0.58  % Other redundant clauses eliminated   : 160
% 0.19/0.58  % Clauses deleted for lack of memory   : 0
% 0.19/0.58  % Backward-subsumed                    : 38
% 0.19/0.58  % Backward-rewritten                   : 8
% 0.19/0.58  % Generated clauses                    : 8372
% 0.19/0.58  % ...of the previous two non-redundant : 7261
% 0.19/0.58  % ...aggressively subsumed             : 0
% 0.19/0.58  % Contextual simplify-reflections      : 129
% 0.19/0.58  % Paramodulations                      : 8193
% 0.19/0.58  % Factorizations                       : 0
% 0.19/0.58  % NegExts                              : 0
% 0.19/0.58  % Equation resolutions                 : 176
% 0.19/0.58  % Disequality decompositions           : 0
% 0.19/0.58  % Total rewrite steps                  : 5697
% 0.19/0.58  % ...of those cached                   : 5681
% 0.19/0.58  % Propositional unsat checks           : 0
% 0.19/0.58  %    Propositional check models        : 0
% 0.19/0.58  %    Propositional check unsatisfiable : 0
% 0.19/0.58  %    Propositional clauses             : 0
% 0.19/0.58  %    Propositional clauses after purity: 0
% 0.19/0.58  %    Propositional unsat core size     : 0
% 0.19/0.58  %    Propositional preprocessing time  : 0.000
% 0.19/0.58  %    Propositional encoding time       : 0.000
% 0.19/0.58  %    Propositional solver time         : 0.000
% 0.19/0.58  %    Success case prop preproc time    : 0.000
% 0.19/0.58  %    Success case prop encoding time   : 0.000
% 0.19/0.58  %    Success case prop solver time     : 0.000
% 0.19/0.58  % Current number of processed clauses  : 368
% 0.19/0.58  %    Positive orientable unit clauses  : 20
% 0.19/0.58  %    Positive unorientable unit clauses: 0
% 0.19/0.58  %    Negative unit clauses             : 4
% 0.19/0.58  %    Non-unit-clauses                  : 344
% 0.19/0.58  % Current number of unprocessed clauses: 5594
% 0.19/0.58  % ...number of literals in the above   : 32812
% 0.19/0.58  % Current number of archived formulas  : 0
% 0.19/0.58  % Current number of archived clauses   : 50
% 0.19/0.58  % Clause-clause subsumption calls (NU) : 29961
% 0.19/0.58  % Rec. Clause-clause subsumption calls : 19136
% 0.19/0.58  % Non-unit clause-clause subsumptions  : 1445
% 0.19/0.58  % Unit Clause-clause subsumption calls : 458
% 0.19/0.58  % Rewrite failures with RHS unbound    : 0
% 0.19/0.58  % BW rewrite match attempts            : 10
% 0.19/0.58  % BW rewrite match successes           : 10
% 0.19/0.58  % Condensation attempts                : 0
% 0.19/0.58  % Condensation successes               : 0
% 0.19/0.58  % Termbank termtop insertions          : 151407
% 0.19/0.58  % Search garbage collected termcells   : 1834
% 0.19/0.58  
% 0.19/0.58  % -------------------------------------------------
% 0.19/0.58  % User time                : 0.124 s
% 0.19/0.58  % System time              : 0.009 s
% 0.19/0.58  % Total time               : 0.134 s
% 0.19/0.58  % Maximum resident set size: 3708 pages
% 0.19/0.58  
% 0.19/0.58  % -------------------------------------------------
% 0.19/0.58  % User time                : 0.127 s
% 0.19/0.58  % System time              : 0.015 s
% 0.19/0.58  % Total time               : 0.142 s
% 0.19/0.58  % Maximum resident set size: 4864 pages
% 0.19/0.58  % E exiting
%------------------------------------------------------------------------------