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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWC410+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 : n005.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 02:44:18 PM UTC 2026

% Result   : Theorem 15.07s 2.86s
% Output   : CNFRefutation 15.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  119 (  19 unt;   0 def)
%            Number of atoms       :  532 ( 172 equ)
%            Maximal formula atoms :   30 (   4 avg)
%            Number of connectives :  658 ( 245   ~; 272   |;  62   &)
%                                         (   7 <=>;  72  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   5 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-2 aty)
%            Number of variables   :  166 (   0 sgn  93   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( ( ( ? [X6] :
                            ( ? [X7] :
                                ( ? [X8] :
                                    ( neq(nil,X3)
                                    & ? [X9] :
                                        ( neq(nil,X3)
                                        & hd(X3) = X9
                                        & cons(X9,nil) = X8
                                        & ssItem(X9) )
                                    & app(X7,X8) = X6
                                    & tl(X3) = X7
                                    & ssList(X8) )
                                & ssList(X7) )
                            & X4 != X6
                            & ssList(X6) )
                        | ~ neq(X3,nil) )
                      & neq(X4,nil) )
                    | ( nil = X4
                      & nil != X3 )
                    | ! [X5] :
                        ( ssItem(X5)
                       => ( memberP(X1,X5)
                          | ~ memberP(X2,X5) ) )
                    | X1 != X3
                    | X2 != X4 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

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

fof(ax24,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssList(tl(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).

fof(ax15,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).

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

fof(ax22,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssItem(hd(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).

fof(ax78,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => cons(hd(X1),tl(X1)) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).

fof(ax86,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil != X1
           => tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax86) ).

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

fof(ax83,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil = app(X1,X2)
          <=> ( nil = X1
              & nil = X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).

fof(ax85,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil != X1
           => hd(app(X1,X2)) = hd(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax85) ).

fof(ax13,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( duplicatefreeP(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
                             => X2 != X3 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax13) ).

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

fof(ax37,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( memberP(cons(X2,X3),X1)
              <=> ( memberP(X3,X1)
                  | X1 = X2 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).

fof(ax72,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax72) ).

fof(ax36,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( memberP(app(X2,X3),X1)
              <=> ( memberP(X3,X1)
                  | memberP(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).

fof(ax38,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ~ memberP(nil,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).

fof(c_0_17,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( ( ( ? [X6] :
                              ( ? [X7] :
                                  ( ? [X8] :
                                      ( neq(nil,X3)
                                      & ? [X9] :
                                          ( neq(nil,X3)
                                          & hd(X3) = X9
                                          & cons(X9,nil) = X8
                                          & ssItem(X9) )
                                      & app(X7,X8) = X6
                                      & tl(X3) = X7
                                      & ssList(X8) )
                                  & ssList(X7) )
                              & X4 != X6
                              & ssList(X6) )
                          | ~ neq(X3,nil) )
                        & neq(X4,nil) )
                      | ( nil = X4
                        & nil != X3 )
                      | ! [X5] :
                          ( ssItem(X5)
                         => ( memberP(X1,X5)
                            | ~ memberP(X2,X5) ) )
                      | X1 != X3
                      | X2 != X4 ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_18,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( ( ( ? [X6] :
                              ( ? [X7] :
                                  ( ? [X8] :
                                      ( neq(nil,X3)
                                      & ? [X9] :
                                          ( neq(nil,X3)
                                          & hd(X3) = X9
                                          & cons(X9,nil) = X8
                                          & ssItem(X9) )
                                      & app(X7,X8) = X6
                                      & tl(X3) = X7
                                      & ssList(X8) )
                                  & ssList(X7) )
                              & X4 != X6
                              & ssList(X6) )
                          | ~ neq(X3,nil) )
                        & neq(X4,nil) )
                      | ( nil = X4
                        & nil != X3 )
                      | ! [X5] :
                          ( ssItem(X5)
                         => ( memberP(X1,X5)
                            | ~ memberP(X2,X5) ) )
                      | X1 != X3
                      | X2 != X4 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_19,negated_conjecture,
    ! [X259,X260,X261,X262] :
      ( ( ~ neq(esk51_0,nil)
        | ~ neq(nil,esk50_0)
        | ~ neq(nil,esk50_0)
        | hd(esk50_0) != X262
        | cons(X262,nil) != X261
        | ~ ssItem(X262)
        | app(X260,X261) != X259
        | tl(esk50_0) != X260
        | ~ ssList(X261)
        | ~ ssList(X260)
        | esk51_0 = X259
        | ~ ssList(X259) )
      & ( ~ neq(esk51_0,nil)
        | neq(esk50_0,nil) )
      & ( nil != esk51_0
        | nil = esk50_0 )
      & ~ memberP(esk48_0,esk52_0)
      & memberP(esk49_0,esk52_0)
      & ssItem(esk52_0)
      & esk48_0 = esk50_0
      & esk49_0 = esk51_0
      & ssList(esk51_0)
      & ssList(esk50_0)
      & ssList(esk49_0)
      & ssList(esk48_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_18])])])])])]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ neq(esk51_0,nil)
    | ~ neq(nil,esk50_0)
    | ~ neq(nil,esk50_0)
    | hd(esk50_0) != X4
    | cons(X4,nil) != X3
    | ~ ssItem(X4)
    | app(X2,X3) != X1
    | tl(esk50_0) != X2
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | esk51_0 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_21,plain,
    ! [X133,X134] :
      ( ssList(app(X133,X134))
      | ~ ssList(X134)
      | ~ ssList(X133) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])]) ).

fof(c_0_22,plain,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssList(tl(X1)) ) ),
    inference(fof_simplification,[status(thm)],[ax24]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ neq(esk51_0,nil)
    | ~ neq(nil,esk50_0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X4)
    | cons(X4,nil) != X3
    | app(X2,X3) != X1
    | tl(esk50_0) != X2
    | hd(esk50_0) != X4
    | esk51_0 = X1 ),
    inference(cn,[status(thm)],[c_0_20]) ).

cnf(c_0_24,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ssList(app(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_25,plain,
    ! [X130] :
      ( ssList(tl(X130))
      | nil = X130
      | ~ ssList(X130) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).

cnf(c_0_26,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_27,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_28,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    inference(fof_simplification,[status(thm)],[ax15]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ ssItem(hd(esk50_0))
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk50_0)
    | ~ ssList(tl(esk50_0))
    | ~ ssList(cons(hd(esk50_0),nil))
    | app(tl(esk50_0),cons(hd(esk50_0),nil)) = esk51_0 ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_23])])])]),c_0_24]) ).

cnf(c_0_30,plain,
    ( ~ ssList(X1)
    | ssList(tl(X1))
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_31,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_26,c_0_27]) ).

fof(c_0_32,plain,
    ! [X112,X113] :
      ( ( ~ ssList(X112)
        | ~ ssList(X113)
        | neq(X112,X113)
        | X112 = X113 )
      & ( ~ ssList(X112)
        | ~ ssList(X113)
        | X112 != X113
        | ~ neq(X112,X113) ) ),
    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_28])])])])]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ ssItem(hd(esk50_0))
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk50_0)
    | ~ ssList(cons(hd(esk50_0),nil))
    | esk50_0 = nil
    | app(tl(esk50_0),cons(hd(esk50_0),nil)) = esk51_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).

cnf(c_0_34,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | neq(X1,X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_35,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_36,negated_conjecture,
    ssList(esk49_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_37,negated_conjecture,
    esk49_0 = esk51_0,
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_38,plain,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssItem(hd(X1)) ) ),
    inference(fof_simplification,[status(thm)],[ax22]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ ssItem(hd(esk50_0))
    | ~ neq(esk51_0,nil)
    | ~ ssList(cons(hd(esk50_0),nil))
    | esk50_0 = nil
    | app(tl(esk50_0),cons(hd(esk50_0),nil)) = esk51_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_31]),c_0_35])]) ).

cnf(c_0_40,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_41,negated_conjecture,
    ( nil != esk51_0
    | nil = esk50_0 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_42,plain,
    ! [X127] :
      ( ssItem(hd(X127))
      | nil = X127
      | ~ ssList(X127) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).

fof(c_0_43,plain,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => cons(hd(X1),tl(X1)) = X1 ) ),
    inference(fof_simplification,[status(thm)],[ax78]) ).

fof(c_0_44,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil != X1
           => tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
    inference(fof_simplification,[status(thm)],[ax86]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ ssItem(hd(esk50_0))
    | ~ ssList(cons(hd(esk50_0),nil))
    | esk50_0 = nil
    | app(tl(esk50_0),cons(hd(esk50_0),nil)) = esk51_0 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_34]),c_0_35]),c_0_40])]),c_0_41]) ).

cnf(c_0_46,plain,
    ( ~ ssList(X1)
    | ssItem(hd(X1))
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

fof(c_0_47,plain,
    ! [X114,X115] :
      ( ssList(cons(X115,X114))
      | ~ ssItem(X115)
      | ~ ssList(X114) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])]) ).

fof(c_0_48,plain,
    ! [X216] :
      ( cons(hd(X216),tl(X216)) = X216
      | nil = X216
      | ~ ssList(X216) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])]) ).

fof(c_0_49,plain,
    ! [X233,X234] :
      ( tl(app(X233,X234)) = app(tl(X233),X234)
      | nil = X233
      | ~ ssList(X234)
      | ~ ssList(X233) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])]) ).

fof(c_0_50,plain,
    ! [X228,X229] :
      ( ( ~ ssList(X228)
        | ~ ssList(X229)
        | nil = app(X228,X229)
        | nil != X228
        | nil != X229 )
      & ( ~ ssList(X228)
        | ~ ssList(X229)
        | nil != app(X228,X229)
        | nil = X228 )
      & ( ~ ssList(X228)
        | ~ ssList(X229)
        | nil != app(X228,X229)
        | nil = X229 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])])]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ ssList(cons(hd(esk50_0),nil))
    | esk50_0 = nil
    | app(tl(esk50_0),cons(hd(esk50_0),nil)) = esk51_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_31])]) ).

cnf(c_0_52,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | ssList(cons(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_53,plain,
    ( ~ ssList(X1)
    | cons(hd(X1),tl(X1)) = X1
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_54,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | tl(app(X1,X2)) = app(tl(X1),X2)
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_55,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | nil != app(X1,X2)
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ ssItem(hd(esk50_0))
    | esk50_0 = nil
    | app(tl(esk50_0),cons(hd(esk50_0),nil)) = esk51_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_35])]) ).

cnf(c_0_57,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | nil = X1
    | cons(hd(app(X1,X2)),app(tl(X1),X2)) = app(X1,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_24]),c_0_55]) ).

cnf(c_0_58,negated_conjecture,
    ( esk50_0 = nil
    | app(tl(esk50_0),cons(hd(esk50_0),nil)) = esk51_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_46]),c_0_31])]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ ssList(cons(hd(esk50_0),nil))
    | esk50_0 = nil
    | cons(hd(app(esk50_0,cons(hd(esk50_0),nil))),esk51_0) = app(esk50_0,cons(hd(esk50_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_31])]) ).

fof(c_0_60,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil != X1
           => hd(app(X1,X2)) = hd(X1) ) ) ),
    inference(fof_simplification,[status(thm)],[ax85]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ ssItem(hd(esk50_0))
    | esk50_0 = nil
    | cons(hd(app(esk50_0,cons(hd(esk50_0),nil))),esk51_0) = app(esk50_0,cons(hd(esk50_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_52]),c_0_35])]) ).

fof(c_0_62,plain,
    ! [X231,X232] :
      ( hd(app(X231,X232)) = hd(X231)
      | nil = X231
      | ~ ssList(X232)
      | ~ ssList(X231) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])]) ).

cnf(c_0_63,negated_conjecture,
    ( esk50_0 = nil
    | cons(hd(app(esk50_0,cons(hd(esk50_0),nil))),esk51_0) = app(esk50_0,cons(hd(esk50_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_46]),c_0_31])]) ).

cnf(c_0_64,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | hd(app(X1,X2)) = hd(X1)
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

fof(c_0_65,plain,
    ! [X1] :
      ( ssList(X1)
     => ( duplicatefreeP(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
                             => X2 != X3 ) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[ax13]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ ssList(cons(hd(esk50_0),nil))
    | esk50_0 = nil
    | app(esk50_0,cons(hd(esk50_0),nil)) = cons(hd(esk50_0),esk51_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_31])]) ).

fof(c_0_67,plain,
    ! [X92,X93,X94,X95,X96,X97] :
      ( ( ~ ssList(X92)
        | duplicatefreeP(X92)
        | esk35_1(X92) = esk36_1(X92) )
      & ( ~ ssList(X92)
        | duplicatefreeP(X92)
        | app(app(esk37_1(X92),cons(esk35_1(X92),esk38_1(X92))),cons(esk36_1(X92),esk39_1(X92))) = X92 )
      & ( ~ ssList(X92)
        | duplicatefreeP(X92)
        | ssList(esk39_1(X92)) )
      & ( ~ ssList(X92)
        | duplicatefreeP(X92)
        | ssList(esk38_1(X92)) )
      & ( ~ ssList(X92)
        | duplicatefreeP(X92)
        | ssList(esk37_1(X92)) )
      & ( ~ ssList(X92)
        | duplicatefreeP(X92)
        | ssItem(esk36_1(X92)) )
      & ( ~ ssList(X92)
        | duplicatefreeP(X92)
        | ssItem(esk35_1(X92)) )
      & ( ~ ssList(X92)
        | X93 != X94
        | app(app(X95,cons(X93,X96)),cons(X94,X97)) != X92
        | ~ ssList(X97)
        | ~ ssList(X96)
        | ~ ssList(X95)
        | ~ ssItem(X94)
        | ~ ssItem(X93)
        | ~ duplicatefreeP(X92) ) ),
    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_65])])])])])]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ ssItem(hd(esk50_0))
    | esk50_0 = nil
    | app(esk50_0,cons(hd(esk50_0),nil)) = cons(hd(esk50_0),esk51_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_52]),c_0_35])]) ).

cnf(c_0_69,plain,
    ( ~ ssList(X1)
    | X2 != X3
    | app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
    | ~ ssList(X6)
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssItem(X3)
    | ~ ssItem(X2)
    | ~ duplicatefreeP(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

fof(c_0_70,plain,
    ! [X138] :
      ( app(nil,X138) = X138
      | ~ ssList(X138) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])])]) ).

cnf(c_0_71,negated_conjecture,
    ( esk50_0 = nil
    | app(esk50_0,cons(hd(esk50_0),nil)) = cons(hd(esk50_0),esk51_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_46]),c_0_31])]) ).

cnf(c_0_72,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssList(app(app(X1,cons(X2,X3)),cons(X2,X4)))
    | ~ duplicatefreeP(app(app(X1,cons(X2,X3)),cons(X2,X4))) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_69])]) ).

cnf(c_0_73,plain,
    ( ~ ssList(X1)
    | app(nil,X1) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ ssList(cons(hd(esk50_0),nil))
    | ssList(cons(hd(esk50_0),esk51_0))
    | esk50_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_71]),c_0_31])]) ).

cnf(c_0_75,negated_conjecture,
    ( ~ ssList(cons(hd(esk50_0),nil))
    | esk50_0 = nil
    | hd(cons(hd(esk50_0),esk51_0)) = hd(esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_71]),c_0_31])]) ).

fof(c_0_76,plain,
    ! [X157,X158,X159] :
      ( ( ~ ssItem(X157)
        | ~ ssItem(X158)
        | ~ ssList(X159)
        | memberP(cons(X158,X159),X157)
        | ~ memberP(X159,X157) )
      & ( ~ ssItem(X157)
        | ~ ssItem(X158)
        | ~ ssList(X159)
        | memberP(cons(X158,X159),X157)
        | X157 != X158 )
      & ( ~ ssItem(X157)
        | ~ ssItem(X158)
        | ~ ssList(X159)
        | memberP(X159,X157)
        | X157 = X158
        | ~ memberP(cons(X158,X159),X157) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax37])])])])]) ).

cnf(c_0_77,negated_conjecture,
    memberP(esk49_0,esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_78,plain,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(app(cons(X1,X2),cons(X1,X3)))
    | ~ duplicatefreeP(app(cons(X1,X2),cons(X1,X3))) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_35])]),c_0_52]) ).

cnf(c_0_79,negated_conjecture,
    ( ~ ssItem(hd(esk50_0))
    | ssList(cons(hd(esk50_0),esk51_0))
    | esk50_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_52]),c_0_35])]) ).

cnf(c_0_80,negated_conjecture,
    ( ~ ssItem(hd(esk50_0))
    | esk50_0 = nil
    | hd(cons(hd(esk50_0),esk51_0)) = hd(esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_52]),c_0_35])]) ).

cnf(c_0_81,plain,
    ( ~ ssItem(X2)
    | ~ ssItem(X3)
    | ~ ssList(X1)
    | ~ memberP(X1,X2)
    | memberP(cons(X3,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_82,negated_conjecture,
    memberP(esk51_0,esk52_0),
    inference(rw,[status(thm)],[c_0_77,c_0_37]) ).

cnf(c_0_83,negated_conjecture,
    ssItem(esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_84,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(app(X1,cons(hd(X1),X2)))
    | ~ duplicatefreeP(app(X1,cons(hd(X1),X2)))
    | nil = X1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_53]),c_0_46]),c_0_30]) ).

cnf(c_0_85,negated_conjecture,
    ( ssList(cons(hd(esk50_0),esk51_0))
    | esk50_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_46]),c_0_31])]) ).

cnf(c_0_86,negated_conjecture,
    ( esk50_0 = nil
    | hd(cons(hd(esk50_0),esk51_0)) = hd(esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_46]),c_0_31])]) ).

cnf(c_0_87,negated_conjecture,
    ( ~ ssItem(X1)
    | memberP(cons(X1,esk51_0),esk52_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_40]),c_0_83])]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ duplicatefreeP(cons(hd(esk50_0),esk51_0))
    | esk50_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_71]),c_0_35]),c_0_31])]),c_0_85]) ).

cnf(c_0_89,negated_conjecture,
    ( ssItem(hd(esk50_0))
    | esk50_0 = nil
    | cons(hd(esk50_0),esk51_0) = nil ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_86]),c_0_85]) ).

cnf(c_0_90,plain,
    duplicatefreeP(nil),
    inference(split_conjunct,[status(thm)],[ax72]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ ssItem(hd(app(esk50_0,cons(hd(esk50_0),nil))))
    | memberP(app(esk50_0,cons(hd(esk50_0),nil)),esk52_0)
    | esk50_0 = nil ),
    inference(spm,[status(thm)],[c_0_87,c_0_63]) ).

cnf(c_0_92,negated_conjecture,
    ( ssItem(hd(esk50_0))
    | esk50_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]) ).

fof(c_0_93,plain,
    ! [X154,X155,X156] :
      ( ( ~ ssItem(X154)
        | ~ ssList(X155)
        | ~ ssList(X156)
        | memberP(app(X155,X156),X154)
        | ~ memberP(X156,X154) )
      & ( ~ ssItem(X154)
        | ~ ssList(X155)
        | ~ ssList(X156)
        | memberP(app(X155,X156),X154)
        | ~ memberP(X155,X154) )
      & ( ~ ssItem(X154)
        | ~ ssList(X155)
        | ~ ssList(X156)
        | memberP(X156,X154)
        | memberP(X155,X154)
        | ~ memberP(app(X155,X156),X154) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax36])])])])]) ).

cnf(c_0_94,negated_conjecture,
    ( ~ ssList(cons(hd(esk50_0),nil))
    | memberP(app(esk50_0,cons(hd(esk50_0),nil)),esk52_0)
    | esk50_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_64]),c_0_31])]),c_0_92]) ).

cnf(c_0_95,negated_conjecture,
    ~ memberP(esk48_0,esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_96,plain,
    ( ~ ssItem(X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ memberP(app(X1,X2),X3)
    | memberP(X2,X3)
    | memberP(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_97,negated_conjecture,
    ( memberP(app(esk50_0,cons(hd(esk50_0),nil)),esk52_0)
    | esk50_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_52]),c_0_35])]),c_0_92]) ).

cnf(c_0_98,negated_conjecture,
    ~ memberP(esk50_0,esk52_0),
    inference(rw,[status(thm)],[c_0_95,c_0_27]) ).

cnf(c_0_99,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssList(X3)
    | X1 != X2
    | memberP(cons(X2,X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_100,negated_conjecture,
    ( ~ ssList(cons(hd(esk50_0),nil))
    | memberP(cons(hd(esk50_0),nil),esk52_0)
    | esk50_0 = nil ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_31]),c_0_83])]),c_0_98]) ).

fof(c_0_101,plain,
    ! [X1] :
      ( ssItem(X1)
     => ~ memberP(nil,X1) ),
    inference(fof_simplification,[status(thm)],[ax38]) ).

cnf(c_0_102,plain,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | memberP(cons(X1,X2),X1) ),
    inference(er,[status(thm)],[c_0_99]) ).

cnf(c_0_103,plain,
    ( ~ ssItem(X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ memberP(cons(X1,X2),X3)
    | memberP(X2,X3)
    | X3 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_104,negated_conjecture,
    ( memberP(cons(hd(esk50_0),nil),esk52_0)
    | esk50_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_52]),c_0_35])]),c_0_92]) ).

fof(c_0_105,plain,
    ! [X160] :
      ( ~ memberP(nil,X160)
      | ~ ssItem(X160) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_101])])]) ).

cnf(c_0_106,plain,
    ( ~ ssList(X1)
    | memberP(X1,hd(X1))
    | nil = X1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_53]),c_0_46]),c_0_30]) ).

cnf(c_0_107,negated_conjecture,
    ( memberP(nil,esk52_0)
    | esk50_0 = nil
    | hd(esk50_0) = esk52_0 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_35]),c_0_83])]),c_0_92]) ).

cnf(c_0_108,negated_conjecture,
    ( ~ neq(esk51_0,nil)
    | neq(esk50_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_109,plain,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_110,negated_conjecture,
    ( memberP(nil,esk52_0)
    | esk50_0 = nil ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_31])]),c_0_98]) ).

cnf(c_0_111,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | X1 != X2
    | ~ neq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_112,negated_conjecture,
    ( neq(esk50_0,nil)
    | esk51_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_34]),c_0_35]),c_0_40])]) ).

cnf(c_0_113,negated_conjecture,
    esk50_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_83])]) ).

cnf(c_0_114,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_111]) ).

cnf(c_0_115,negated_conjecture,
    ( neq(nil,nil)
    | esk51_0 = nil ),
    inference(rw,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_116,negated_conjecture,
    esk51_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_35])]) ).

cnf(c_0_117,negated_conjecture,
    ~ memberP(nil,esk52_0),
    inference(rw,[status(thm)],[c_0_98,c_0_113]) ).

cnf(c_0_118,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_116]),c_0_117]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC410+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.58  % Computer : n005.cluster.edu
% 0.11/0.58  % Model    : x86_64 x86_64
% 0.11/0.58  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58  % Memory   : 8046.5625MB
% 0.11/0.58  % OS       : Linux 6.8.0-71-generic
% 0.11/0.58  % CPULimit : 300
% 0.11/0.58  % WCLimit  : 300
% 0.11/0.58  % DateTime : Mon Sep 21 08:22:19 UTC 2026
% 0.16/0.58  % CPUTime  : 
% 0.16/0.58  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.62  Running first-order theorem proving
% 0.16/0.62  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
% 15.07/2.86  % Version: 3.5.1
% 15.07/2.86  % Preprocessing class: FSLSSMSSSSSNFFN.
% 15.07/2.86  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.07/2.86  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 15.07/2.86  % Starting new_bool_3 with 300s (1) cores
% 15.07/2.86  % Starting new_bool_1 with 300s (1) cores
% 15.07/2.86  % Starting sh5l with 300s (1) cores
% 15.07/2.86  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3007525 completed with status 0
% 15.07/2.86  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 15.07/2.86  % Preprocessing class: FSLSSMSSSSSNFFN.
% 15.07/2.86  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.07/2.86  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 15.07/2.86  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 15.07/2.86  % No SInE strategy applied
% 15.07/2.86  % Search class: FGHSF-FSLM21-MFFFFFNN
% 15.07/2.86  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 15.07/2.86  % Starting SubtermCWHack with 136s (1) cores
% 15.07/2.86  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 15.07/2.86  % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 136s (1) cores
% 15.07/2.86  % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 15.07/2.86  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 15.07/2.86  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3007533 completed with status 0
% 15.07/2.86  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 15.07/2.86  % Preprocessing class: FSLSSMSSSSSNFFN.
% 15.07/2.86  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.07/2.86  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 15.07/2.86  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 15.07/2.86  % No SInE strategy applied
% 15.07/2.86  % Search class: FGHSF-FSLM21-MFFFFFNN
% 15.07/2.86  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 15.07/2.86  % Starting SubtermCWHack with 136s (1) cores
% 15.07/2.86  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 15.07/2.86  % Preprocessing time       : 0.004 s
% 15.07/2.86  % Presaturation interreduction done
% 15.07/2.86  
% 15.07/2.86  % Proof found!
% 15.07/2.86  % SZS status Theorem
% 15.07/2.86  % SZS output start CNFRefutation
% See solution above
% 15.07/2.86  % Parsed axioms                        : 96
% 15.07/2.86  % Removed by relevancy pruning/SinE    : 0
% 15.07/2.86  % Initial clauses                      : 202
% 15.07/2.86  % Removed in clause preprocessing      : 2
% 15.07/2.86  % Initial clauses in saturation        : 200
% 15.07/2.86  % Processed clauses                    : 6909
% 15.07/2.86  % ...of these trivial                  : 28
% 15.07/2.86  % ...subsumed                          : 4663
% 15.07/2.86  % ...remaining for further processing  : 2218
% 15.07/2.86  % Other redundant clauses eliminated   : 226
% 15.07/2.86  % Clauses deleted for lack of memory   : 0
% 15.07/2.86  % Backward-subsumed                    : 476
% 15.07/2.86  % Backward-rewritten                   : 647
% 15.07/2.86  % Generated clauses                    : 31784
% 15.07/2.86  % ...of the previous two non-redundant : 30046
% 15.07/2.86  % ...aggressively subsumed             : 0
% 15.07/2.86  % Contextual simplify-reflections      : 1147
% 15.07/2.86  % Paramodulations                      : 31554
% 15.07/2.86  % Factorizations                       : 0
% 15.07/2.86  % NegExts                              : 0
% 15.07/2.86  % Equation resolutions                 : 235
% 15.07/2.86  % Disequality decompositions           : 0
% 15.07/2.86  % Total rewrite steps                  : 18661
% 15.07/2.86  % ...of those cached                   : 18599
% 15.07/2.86  % Propositional unsat checks           : 0
% 15.07/2.86  %    Propositional check models        : 0
% 15.07/2.86  %    Propositional check unsatisfiable : 0
% 15.07/2.86  %    Propositional clauses             : 0
% 15.07/2.86  %    Propositional clauses after purity: 0
% 15.07/2.86  %    Propositional unsat core size     : 0
% 15.07/2.86  %    Propositional preprocessing time  : 0.000
% 15.07/2.86  %    Propositional encoding time       : 0.000
% 15.07/2.86  %    Propositional solver time         : 0.000
% 15.07/2.86  %    Success case prop preproc time    : 0.000
% 15.07/2.86  %    Success case prop encoding time   : 0.000
% 15.07/2.86  %    Success case prop solver time     : 0.000
% 15.07/2.86  % Current number of processed clauses  : 877
% 15.07/2.86  %    Positive orientable unit clauses  : 34
% 15.07/2.86  %    Positive unorientable unit clauses: 0
% 15.07/2.86  %    Negative unit clauses             : 3
% 15.07/2.86  %    Non-unit-clauses                  : 840
% 15.07/2.86  % Current number of unprocessed clauses: 22702
% 15.07/2.86  % ...number of literals in the above   : 160651
% 15.07/2.86  % Current number of archived formulas  : 0
% 15.07/2.86  % Current number of archived clauses   : 1317
% 15.07/2.86  % Clause-clause subsumption calls (NU) : 568001
% 15.07/2.86  % Rec. Clause-clause subsumption calls : 120425
% 15.07/2.86  % Non-unit clause-clause subsumptions  : 5643
% 15.07/2.86  % Unit Clause-clause subsumption calls : 6197
% 15.07/2.86  % Rewrite failures with RHS unbound    : 0
% 15.07/2.86  % BW rewrite match attempts            : 30
% 15.07/2.86  % BW rewrite match successes           : 30
% 15.07/2.86  % Condensation attempts                : 0
% 15.07/2.86  % Condensation successes               : 0
% 15.07/2.86  % Termbank termtop insertions          : 767107
% 15.07/2.86  % Search garbage collected termcells   : 4409
% 15.07/2.86  
% 15.07/2.86  % -------------------------------------------------
% 15.07/2.86  % User time                : 2.121 s
% 15.07/2.86  % System time              : 0.039 s
% 15.07/2.86  % Total time               : 2.161 s
% 15.07/2.86  % Maximum resident set size: 4276 pages
% 15.07/2.86  
% 15.07/2.86  % -------------------------------------------------
% 15.07/2.86  % User time                : 10.523 s
% 15.07/2.86  % System time              : 0.297 s
% 15.07/2.86  % Total time               : 10.821 s
% 15.07/2.86  % Maximum resident set size: 4864 pages
% 15.07/2.86  % E exiting
%------------------------------------------------------------------------------