↑ Up

E-SAT---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SWC183+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 02:45:17 PM UTC 2026

% Result   : Theorem 1.40s 0.68s
% Output   : CNFRefutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  132 (  22 unt;   0 def)
%            Number of atoms       :  513 ( 167 equ)
%            Maximal formula atoms :   34 (   3 avg)
%            Number of connectives :  638 ( 257   ~; 265   |;  44   &)
%                                         (   4 <=>;  68  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   9 con; 0-2 aty)
%            Number of variables   :  176 (   0 sgn 106   !;   4   ?)

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

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/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).

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

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

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

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

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

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

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

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/sandbox/benchmark/Axioms/SWC001+0.ax',ax36) ).

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/sandbox/benchmark/Axioms/SWC001+0.ax',ax37) ).

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

fof(ax23,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => hd(cons(X2,X1)) = X2 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax23) ).

fof(ax80,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( app(X2,X3) = app(X2,X1)
               => X3 = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax80) ).

fof(ax84,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(X1,nil) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).

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

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

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

fof(ax27,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssItem(X3)
             => cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax27) ).

fof(ax41,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( ( frontsegP(X2,X1)
              & frontsegP(X1,X2) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax41) ).

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

fof(c_0_21,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ( ( nil != X3
                        | nil != X4 )
                      & ! [X8] :
                          ( ? [X9] :
                              ( leq(X8,X9)
                              & memberP(X4,X9)
                              & X8 != X9
                              & ssItem(X9) )
                          | ~ memberP(X4,X8)
                          | cons(X8,nil) != X3
                          | ~ ssItem(X8) ) )
                    | ! [X5] :
                        ( ssItem(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ! [X7] :
                                ( ( ~ memberP(X7,X5)
                                  & ~ memberP(X6,X5) )
                                | app(app(X6,cons(X5,nil)),X7) != X1
                                | ~ ssList(X7) ) ) )
                    | X1 != X3
                    | X2 != X4
                    | ~ ssList(X4) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_22,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ( ( nil != X3
                        | nil != X4 )
                      & ! [X8] :
                          ( ? [X9] :
                              ( leq(X8,X9)
                              & memberP(X4,X9)
                              & X8 != X9
                              & ssItem(X9) )
                          | ~ memberP(X4,X8)
                          | cons(X8,nil) != X3
                          | ~ ssItem(X8) ) )
                    | ! [X5] :
                        ( ssItem(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ! [X7] :
                                ( ( ~ memberP(X7,X5)
                                  & ~ memberP(X6,X5) )
                                | app(app(X6,cons(X5,nil)),X7) != X1
                                | ~ ssList(X7) ) ) )
                    | X1 != X3
                    | X2 != X4
                    | ~ ssList(X4) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_23,negated_conjecture,
    ! [X18] :
      ( ( ~ leq(esk8_0,X18)
        | ~ memberP(esk4_0,X18)
        | esk8_0 = X18
        | ~ ssItem(X18)
        | nil = esk3_0 )
      & ( ~ leq(esk8_0,X18)
        | ~ memberP(esk4_0,X18)
        | esk8_0 = X18
        | ~ ssItem(X18)
        | nil = esk4_0 )
      & ( memberP(esk4_0,esk8_0)
        | nil = esk3_0 )
      & ( memberP(esk4_0,esk8_0)
        | nil = esk4_0 )
      & ( cons(esk8_0,nil) = esk3_0
        | nil = esk3_0 )
      & ( cons(esk8_0,nil) = esk3_0
        | nil = esk4_0 )
      & ( ssItem(esk8_0)
        | nil = esk3_0 )
      & ( ssItem(esk8_0)
        | nil = esk4_0 )
      & ( memberP(esk7_0,esk5_0)
        | memberP(esk6_0,esk5_0) )
      & app(app(esk6_0,cons(esk5_0,nil)),esk7_0) = esk1_0
      & ssList(esk7_0)
      & ssList(esk6_0)
      & ssItem(esk5_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_22])])])])])]) ).

cnf(c_0_24,negated_conjecture,
    app(app(esk6_0,cons(esk5_0,nil)),esk7_0) = esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_25,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_26,plain,
    ! [X144,X145,X146] :
      ( app(app(X144,X145),X146) = app(X144,app(X145,X146))
      | ~ ssList(X146)
      | ~ ssList(X145)
      | ~ ssList(X144) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])])]) ).

fof(c_0_27,plain,
    ! [X27,X28] :
      ( ( ~ ssList(X27)
        | ~ ssList(X28)
        | nil = app(X27,X28)
        | nil != X27
        | nil != X28 )
      & ( ~ ssList(X27)
        | ~ ssList(X28)
        | nil != app(X27,X28)
        | nil = X27 )
      & ( ~ ssList(X27)
        | ~ ssList(X28)
        | nil != app(X27,X28)
        | nil = X28 ) ),
    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_28,negated_conjecture,
    app(app(esk6_0,cons(esk5_0,nil)),esk7_0) = esk3_0,
    inference(rw,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | app(app(X1,X2),X3) = app(X1,app(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    ssList(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_31,negated_conjecture,
    ssList(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_32,plain,
    ! [X25,X26] :
      ( cons(X26,X25) = app(cons(X26,nil),X25)
      | ~ ssItem(X26)
      | ~ ssList(X25) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])]) ).

cnf(c_0_33,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | nil != app(X2,X1)
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_34,plain,
    ! [X126,X127] :
      ( ssList(app(X126,X127))
      | ~ ssList(X127)
      | ~ ssList(X126) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ ssList(cons(esk5_0,nil))
    | app(esk6_0,app(cons(esk5_0,nil),esk7_0)) = esk3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31])]) ).

cnf(c_0_36,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | cons(X2,X1) = app(cons(X2,nil),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_37,negated_conjecture,
    ssItem(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ ssList(app(esk6_0,cons(esk5_0,nil)))
    | esk3_0 != nil
    | esk7_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_28]),c_0_30])]) ).

cnf(c_0_39,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ssList(app(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_40,plain,
    ! [X95,X96] :
      ( ssList(cons(X96,X95))
      | ~ ssItem(X96)
      | ~ ssList(X95) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])]) ).

cnf(c_0_41,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | nil != app(X1,X2)
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ ssList(cons(esk5_0,nil))
    | app(esk6_0,cons(esk5_0,esk7_0)) = esk3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_30]),c_0_37])]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ ssList(cons(esk5_0,nil))
    | esk3_0 != nil
    | esk7_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_31])]) ).

cnf(c_0_44,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | ssList(cons(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_45,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ ssList(cons(esk5_0,nil))
    | ~ ssList(cons(esk5_0,esk7_0))
    | esk3_0 != nil
    | esk6_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_31])]) ).

cnf(c_0_47,negated_conjecture,
    ( esk3_0 != nil
    | esk7_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_37])]) ).

fof(c_0_48,plain,
    ! [X112,X113,X115] :
      ( ( ~ ssList(X112)
        | ~ ssList(X113)
        | frontsegP(X112,X113)
        | app(X113,X115) != X112
        | ~ ssList(X115) )
      & ( ~ ssList(X112)
        | ~ ssList(X113)
        | ~ frontsegP(X112,X113)
        | app(X113,esk30_2(X112,X113)) = X112 )
      & ( ~ ssList(X112)
        | ~ ssList(X113)
        | ~ frontsegP(X112,X113)
        | ssList(esk30_2(X112,X113)) ) ),
    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])])])])])]) ).

fof(c_0_49,plain,
    ! [X1] :
      ( ssItem(X1)
     => ~ memberP(nil,X1) ),
    inference(fof_simplification,[status(thm)],[ax38]) ).

cnf(c_0_50,negated_conjecture,
    ( memberP(esk7_0,esk5_0)
    | memberP(esk6_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ ssList(cons(esk5_0,nil))
    | esk3_0 != nil
    | esk6_0 = nil ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_52,plain,
    ( ~ ssList(X3)
    | ~ ssList(X2)
    | app(X2,X1) != X3
    | ~ ssList(X1)
    | frontsegP(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

fof(c_0_53,plain,
    ! [X86,X87,X88] :
      ( ( ~ ssItem(X86)
        | ~ ssList(X87)
        | ~ ssList(X88)
        | memberP(app(X87,X88),X86)
        | ~ memberP(X88,X86) )
      & ( ~ ssItem(X86)
        | ~ ssList(X87)
        | ~ ssList(X88)
        | memberP(app(X87,X88),X86)
        | ~ memberP(X87,X86) )
      & ( ~ ssItem(X86)
        | ~ ssList(X87)
        | ~ ssList(X88)
        | memberP(X88,X86)
        | memberP(X87,X86)
        | ~ memberP(app(X87,X88),X86) ) ),
    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])])])])]) ).

fof(c_0_54,plain,
    ! [X92] :
      ( ~ memberP(nil,X92)
      | ~ ssItem(X92) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])]) ).

cnf(c_0_55,negated_conjecture,
    ( esk3_0 != nil
    | memberP(nil,esk5_0)
    | memberP(esk6_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_47]) ).

cnf(c_0_56,negated_conjecture,
    ( esk3_0 != nil
    | esk6_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_44]),c_0_45]),c_0_37])]) ).

cnf(c_0_57,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | frontsegP(app(X1,X2),X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_52]),c_0_39]) ).

cnf(c_0_58,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ memberP(X1,X2)
    | memberP(app(X3,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_59,plain,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_60,negated_conjecture,
    ( esk3_0 != nil
    | memberP(nil,esk5_0) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_61,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ memberP(X1,X2)
    | memberP(app(X1,X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_62,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X2,X1)
    | app(X1,esk30_2(X2,X1)) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_63,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ frontsegP(X1,X2)
    | ssList(esk30_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ ssList(cons(esk5_0,nil))
    | ~ ssList(app(cons(esk5_0,nil),esk7_0))
    | frontsegP(esk3_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_35]),c_0_31])]) ).

cnf(c_0_65,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(app(esk6_0,cons(esk5_0,nil)))
    | ~ memberP(esk7_0,X1)
    | memberP(esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_28]),c_0_30])]) ).

fof(c_0_66,plain,
    ! [X89,X90,X91] :
      ( ( ~ ssItem(X89)
        | ~ ssItem(X90)
        | ~ ssList(X91)
        | memberP(cons(X90,X91),X89)
        | ~ memberP(X91,X89) )
      & ( ~ ssItem(X89)
        | ~ ssItem(X90)
        | ~ ssList(X91)
        | memberP(cons(X90,X91),X89)
        | X89 != X90 )
      & ( ~ ssItem(X89)
        | ~ ssItem(X90)
        | ~ ssList(X91)
        | memberP(X91,X89)
        | X89 = X90
        | ~ memberP(cons(X90,X91),X89) ) ),
    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_67,negated_conjecture,
    ( cons(esk8_0,nil) = esk3_0
    | nil = esk3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_68,negated_conjecture,
    esk3_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_37])]) ).

cnf(c_0_69,negated_conjecture,
    ( ssItem(esk8_0)
    | nil = esk3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_70,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ memberP(X3,X2)
    | ~ frontsegP(X1,X3)
    | memberP(X1,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).

cnf(c_0_71,negated_conjecture,
    ( ~ ssList(cons(esk5_0,nil))
    | frontsegP(esk3_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_39]),c_0_30])]) ).

cnf(c_0_72,negated_conjecture,
    ssList(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_73,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(cons(esk5_0,nil))
    | ~ memberP(esk7_0,X1)
    | memberP(esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_39]),c_0_31])]) ).

cnf(c_0_74,plain,
    ( ~ ssItem(X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ memberP(cons(X1,X2),X3)
    | memberP(X2,X3)
    | X3 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_75,negated_conjecture,
    cons(esk8_0,nil) = esk3_0,
    inference(sr,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_76,negated_conjecture,
    ssItem(esk8_0),
    inference(sr,[status(thm)],[c_0_69,c_0_68]) ).

cnf(c_0_77,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(cons(esk5_0,nil))
    | ~ memberP(esk6_0,X1)
    | memberP(esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_31]),c_0_72])]) ).

cnf(c_0_78,negated_conjecture,
    ( ~ ssList(cons(esk5_0,nil))
    | memberP(esk3_0,esk5_0)
    | memberP(esk6_0,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_50]),c_0_37])]) ).

cnf(c_0_79,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ memberP(esk3_0,X1)
    | esk8_0 = X1 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_45]),c_0_76])]),c_0_59]) ).

cnf(c_0_80,negated_conjecture,
    ( ~ ssList(cons(esk5_0,nil))
    | memberP(esk3_0,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_37])]) ).

fof(c_0_81,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil != X1
           => hd(app(X1,X2)) = hd(X1) ) ) ),
    inference(fof_simplification,[status(thm)],[ax85]) ).

fof(c_0_82,plain,
    ! [X106,X107] :
      ( hd(cons(X107,X106)) = X107
      | ~ ssItem(X107)
      | ~ ssList(X106) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])])]) ).

fof(c_0_83,plain,
    ! [X141,X142,X143] :
      ( X143 = X141
      | app(X142,X143) != app(X142,X141)
      | ~ ssList(X143)
      | ~ ssList(X142)
      | ~ ssList(X141) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])])]) ).

fof(c_0_84,plain,
    ! [X29] :
      ( app(X29,nil) = X29
      | ~ ssList(X29) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])])]) ).

cnf(c_0_85,negated_conjecture,
    ( ~ ssList(cons(esk5_0,nil))
    | esk5_0 = esk8_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_37])]) ).

fof(c_0_86,plain,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => cons(hd(X1),tl(X1)) = X1 ) ),
    inference(fof_simplification,[status(thm)],[ax78]) ).

fof(c_0_87,plain,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssItem(hd(X1)) ) ),
    inference(fof_simplification,[status(thm)],[ax22]) ).

fof(c_0_88,plain,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssList(tl(X1)) ) ),
    inference(fof_simplification,[status(thm)],[ax24]) ).

fof(c_0_89,plain,
    ! [X147,X148] :
      ( hd(app(X147,X148)) = hd(X147)
      | nil = X147
      | ~ ssList(X148)
      | ~ ssList(X147) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])])]) ).

cnf(c_0_90,plain,
    ( ~ ssItem(X2)
    | ~ ssList(X1)
    | hd(cons(X2,X1)) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_91,plain,
    ( app(X2,X3) != app(X2,X1)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | X3 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_92,plain,
    ( ~ ssList(X1)
    | app(X1,nil) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_93,negated_conjecture,
    esk5_0 = esk8_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_44]),c_0_45]),c_0_37])]) ).

fof(c_0_94,plain,
    ! [X167] :
      ( cons(hd(X167),tl(X167)) = X167
      | nil = X167
      | ~ ssList(X167) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])]) ).

fof(c_0_95,plain,
    ! [X160] :
      ( ssItem(hd(X160))
      | nil = X160
      | ~ ssList(X160) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])]) ).

fof(c_0_96,plain,
    ! [X222] :
      ( ssList(tl(X222))
      | nil = X222
      | ~ ssList(X222) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])]) ).

cnf(c_0_97,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | hd(app(X1,X2)) = hd(X1)
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_98,negated_conjecture,
    ( esk3_0 = nil
    | hd(esk3_0) = esk8_0 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_67]),c_0_45])]),c_0_69]) ).

cnf(c_0_99,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | app(X2,X1) != X2
    | X1 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_45])]) ).

cnf(c_0_100,negated_conjecture,
    app(esk6_0,app(esk3_0,esk7_0)) = esk3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_93]),c_0_75]),c_0_75]),c_0_72])]) ).

fof(c_0_101,plain,
    ! [X103,X104,X105] :
      ( cons(X105,app(X104,X103)) = app(cons(X105,X104),X103)
      | ~ ssItem(X105)
      | ~ ssList(X104)
      | ~ ssList(X103) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])])]) ).

fof(c_0_102,plain,
    ! [X201,X202] :
      ( X201 = X202
      | ~ frontsegP(X202,X201)
      | ~ frontsegP(X201,X202)
      | ~ ssList(X202)
      | ~ ssList(X201) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax41])])])]) ).

cnf(c_0_103,plain,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(cons(X1,nil))
    | frontsegP(cons(X1,X2),cons(X1,nil)) ),
    inference(spm,[status(thm)],[c_0_57,c_0_36]) ).

cnf(c_0_104,plain,
    ( ~ ssList(X1)
    | cons(hd(X1),tl(X1)) = X1
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_105,plain,
    ( ~ ssList(X1)
    | ssItem(hd(X1))
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_106,plain,
    ( ~ ssList(X1)
    | ssList(tl(X1))
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_107,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ~ frontsegP(X1,X2)
    | nil = X2
    | hd(X1) = hd(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_62]),c_0_63]) ).

cnf(c_0_108,negated_conjecture,
    hd(esk3_0) = esk8_0,
    inference(sr,[status(thm)],[c_0_98,c_0_68]) ).

cnf(c_0_109,negated_conjecture,
    ( ~ ssList(app(esk3_0,esk7_0))
    | esk6_0 != esk3_0
    | app(esk3_0,esk7_0) = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_31])]) ).

fof(c_0_110,plain,
    ! [X24] :
      ( app(nil,X24) = X24
      | ~ ssList(X24) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])])]) ).

cnf(c_0_111,plain,
    ( ~ ssItem(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_112,negated_conjecture,
    ( ~ ssList(app(esk6_0,cons(esk5_0,nil)))
    | app(esk6_0,cons(esk5_0,nil)) != esk3_0
    | esk7_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_28]),c_0_30])]) ).

cnf(c_0_113,plain,
    ( ~ frontsegP(X2,X1)
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_114,plain,
    ( ~ ssList(X1)
    | ~ ssList(cons(hd(X1),nil))
    | frontsegP(X1,cons(hd(X1),nil))
    | nil = X1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]),c_0_106]) ).

cnf(c_0_115,negated_conjecture,
    ( ~ ssList(cons(esk5_0,nil))
    | esk6_0 = nil
    | hd(esk6_0) = esk8_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_71]),c_0_108]),c_0_31]),c_0_72])]) ).

cnf(c_0_116,negated_conjecture,
    ( esk6_0 != esk3_0
    | app(esk3_0,esk7_0) = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_39]),c_0_30]),c_0_72])]) ).

cnf(c_0_117,plain,
    ( ~ ssList(X1)
    | app(nil,X1) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_118,negated_conjecture,
    ( ~ ssList(X1)
    | cons(esk8_0,app(nil,X1)) = app(esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_75]),c_0_45]),c_0_76])]) ).

cnf(c_0_119,negated_conjecture,
    ( ~ ssList(app(esk6_0,esk3_0))
    | app(esk6_0,esk3_0) != esk3_0
    | esk7_0 = nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_93]),c_0_75]),c_0_75]) ).

cnf(c_0_120,negated_conjecture,
    ( ~ ssList(cons(esk5_0,nil))
    | ~ frontsegP(esk6_0,esk3_0)
    | esk6_0 = esk3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_71]),c_0_72]),c_0_31])]) ).

cnf(c_0_121,negated_conjecture,
    ( frontsegP(esk6_0,esk3_0)
    | esk6_0 = nil ),
    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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_75]),c_0_75]),c_0_72]),c_0_31]),c_0_93]),c_0_75]),c_0_72])]) ).

cnf(c_0_122,negated_conjecture,
    esk6_0 != esk3_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_116]),c_0_30]),c_0_72])]),c_0_68]) ).

cnf(c_0_123,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | app(nil,app(X1,X2)) = app(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_117]),c_0_45])]) ).

cnf(c_0_124,negated_conjecture,
    app(esk3_0,nil) = esk3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_92]),c_0_75]),c_0_45])]) ).

cnf(c_0_125,negated_conjecture,
    ( app(esk6_0,esk3_0) != esk3_0
    | esk7_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_39]),c_0_72]),c_0_31])]) ).

cnf(c_0_126,negated_conjecture,
    esk6_0 = nil,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_93]),c_0_75]),c_0_72])]),c_0_122]) ).

cnf(c_0_127,negated_conjecture,
    app(nil,esk3_0) = esk3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_45]),c_0_72])]) ).

cnf(c_0_128,negated_conjecture,
    ( memberP(esk7_0,esk8_0)
    | memberP(esk6_0,esk8_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_93]),c_0_93]) ).

cnf(c_0_129,negated_conjecture,
    esk7_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_126]),c_0_127])]) ).

cnf(c_0_130,negated_conjecture,
    memberP(nil,esk8_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_126]),c_0_129])]) ).

cnf(c_0_131,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_130]),c_0_76])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC183+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38  % Computer : n002.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 08:05:05 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.43  Running first-order theorem proving
% 0.10/0.43  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 1.40/0.68  % Version: 3.5.1
% 1.40/0.68  % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.40/0.68  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.40/0.68  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.40/0.68  % Starting new_bool_3 with 300s (1) cores
% 1.40/0.68  % Starting new_bool_1 with 300s (1) cores
% 1.40/0.68  % Starting sh5l with 300s (1) cores
% 1.40/0.68  % sh5l with pid 2826595 completed with status 0
% 1.40/0.68  % Result found by sh5l
% 1.40/0.68  % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.40/0.68  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.40/0.68  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.40/0.68  % Starting new_bool_3 with 300s (1) cores
% 1.40/0.68  % Starting new_bool_1 with 300s (1) cores
% 1.40/0.68  % Starting sh5l with 300s (1) cores
% 1.40/0.68  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 1.40/0.68  % SinE strategy is gf500_gu_R04_F100_L20000
% 1.40/0.68  % Search class: FGHSF-FSLM21-MFFFFFNN
% 1.40/0.68  % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 1.40/0.68  % Starting SubtermCWHack with 28s (1) cores
% 1.40/0.68  % SubtermCWHack with pid 2826602 completed with status 0
% 1.40/0.68  % Result found by SubtermCWHack
% 1.40/0.68  % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.40/0.68  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.40/0.68  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.40/0.68  % Starting new_bool_3 with 300s (1) cores
% 1.40/0.68  % Starting new_bool_1 with 300s (1) cores
% 1.40/0.68  % Starting sh5l with 300s (1) cores
% 1.40/0.68  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 1.40/0.68  % SinE strategy is gf500_gu_R04_F100_L20000
% 1.40/0.68  % Search class: FGHSF-FSLM21-MFFFFFNN
% 1.40/0.68  % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 1.40/0.68  % Starting SubtermCWHack with 28s (1) cores
% 1.40/0.68  % Preprocessing time       : 0.003 s
% 1.40/0.68  
% 1.40/0.68  % Proof found!
% 1.40/0.68  % SZS status Theorem
% 1.40/0.68  % SZS output start CNFRefutation
% See solution above
% 1.40/0.68  % Parsed axioms                        : 96
% 1.40/0.68  % Removed by relevancy pruning/SinE    : 10
% 1.40/0.68  % Initial clauses                      : 182
% 1.40/0.68  % Removed in clause preprocessing      : 2
% 1.40/0.68  % Initial clauses in saturation        : 180
% 1.40/0.68  % Processed clauses                    : 2183
% 1.40/0.68  % ...of these trivial                  : 23
% 1.40/0.68  % ...subsumed                          : 1281
% 1.40/0.68  % ...remaining for further processing  : 879
% 1.40/0.68  % Other redundant clauses eliminated   : 129
% 1.40/0.68  % Clauses deleted for lack of memory   : 0
% 1.40/0.68  % Backward-subsumed                    : 94
% 1.40/0.68  % Backward-rewritten                   : 130
% 1.40/0.68  % Generated clauses                    : 9204
% 1.40/0.68  % ...of the previous two non-redundant : 7574
% 1.40/0.68  % ...aggressively subsumed             : 0
% 1.40/0.68  % Contextual simplify-reflections      : 200
% 1.40/0.68  % Paramodulations                      : 9054
% 1.40/0.68  % Factorizations                       : 0
% 1.40/0.68  % NegExts                              : 0
% 1.40/0.68  % Equation resolutions                 : 135
% 1.40/0.68  % Disequality decompositions           : 0
% 1.40/0.68  % Total rewrite steps                  : 10245
% 1.40/0.68  % ...of those cached                   : 10151
% 1.40/0.68  % Propositional unsat checks           : 0
% 1.40/0.68  %    Propositional check models        : 0
% 1.40/0.68  %    Propositional check unsatisfiable : 0
% 1.40/0.68  %    Propositional clauses             : 0
% 1.40/0.68  %    Propositional clauses after purity: 0
% 1.40/0.68  %    Propositional unsat core size     : 0
% 1.40/0.68  %    Propositional preprocessing time  : 0.000
% 1.40/0.68  %    Propositional encoding time       : 0.000
% 1.40/0.68  %    Propositional solver time         : 0.000
% 1.40/0.68  %    Success case prop preproc time    : 0.000
% 1.40/0.68  %    Success case prop encoding time   : 0.000
% 1.40/0.68  %    Success case prop solver time     : 0.000
% 1.40/0.68  % Current number of processed clauses  : 621
% 1.40/0.68  %    Positive orientable unit clauses  : 93
% 1.40/0.68  %    Positive unorientable unit clauses: 0
% 1.40/0.68  %    Negative unit clauses             : 31
% 1.40/0.68  %    Non-unit-clauses                  : 497
% 1.40/0.68  % Current number of unprocessed clauses: 5350
% 1.40/0.68  % ...number of literals in the above   : 27946
% 1.40/0.68  % Current number of archived formulas  : 0
% 1.40/0.68  % Current number of archived clauses   : 240
% 1.40/0.68  % Clause-clause subsumption calls (NU) : 55869
% 1.40/0.68  % Rec. Clause-clause subsumption calls : 19385
% 1.40/0.68  % Non-unit clause-clause subsumptions  : 1180
% 1.40/0.68  % Unit Clause-clause subsumption calls : 3346
% 1.40/0.68  % Rewrite failures with RHS unbound    : 0
% 1.40/0.68  % BW rewrite match attempts            : 46
% 1.40/0.68  % BW rewrite match successes           : 35
% 1.40/0.68  % Condensation attempts                : 0
% 1.40/0.68  % Condensation successes               : 0
% 1.40/0.68  % Termbank termtop insertions          : 178069
% 1.40/0.68  % Search garbage collected termcells   : 3885
% 1.40/0.68  
% 1.40/0.68  % -------------------------------------------------
% 1.40/0.68  % User time                : 0.221 s
% 1.40/0.68  % System time              : 0.009 s
% 1.40/0.68  % Total time               : 0.230 s
% 1.40/0.68  % Maximum resident set size: 4276 pages
% 1.40/0.68  
% 1.40/0.68  % -------------------------------------------------
% 1.40/0.68  % User time                : 0.227 s
% 1.40/0.68  % System time              : 0.012 s
% 1.40/0.68  % Total time               : 0.238 s
% 1.40/0.68  % Maximum resident set size: 4864 pages
% 1.40/0.68  % E exiting
%------------------------------------------------------------------------------