↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWC395+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 : n001.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 02:44:14 PM UTC 2026

% Result   : Theorem 10.76s 1.90s
% Output   : CNFRefutation 10.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  118 (  17 unt;   0 def)
%            Number of atoms       :  481 ( 180 equ)
%            Maximal formula atoms :   23 (   4 avg)
%            Number of connectives :  579 ( 216   ~; 249   |;  54   &)
%                                         (   5 <=>;  55  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   5 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :  139 (   0 sgn  79   !;  12   ?)

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

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

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

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

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

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

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

fof(ax16,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ssList(cons(X2,X1)) ) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax85) ).

fof(ax21,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => nil != cons(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).

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

fof(c_0_15,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ( neq(X4,nil)
                      & ? [X6] :
                          ( ? [X7] :
                              ( ? [X8] :
                                  ( neq(nil,X4)
                                  & ? [X9] :
                                      ( neq(nil,X4)
                                      & hd(X4) = X9
                                      & cons(X9,nil) = X8
                                      & ssItem(X9) )
                                  & app(X7,X8) = X6
                                  & tl(X4) = X7
                                  & ssList(X8) )
                              & ssList(X7) )
                          & X3 != X6
                          & ssList(X6) ) )
                    | ( nil = X4
                      & nil != X3 )
                    | ! [X5] :
                        ( memberP(X2,X5)
                        | ~ memberP(X1,X5)
                        | ~ ssItem(X5) )
                    | X1 != X3
                    | X2 != X4
                    | ~ ssList(X4) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_16,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ( neq(X4,nil)
                      & ? [X6] :
                          ( ? [X7] :
                              ( ? [X8] :
                                  ( neq(nil,X4)
                                  & ? [X9] :
                                      ( neq(nil,X4)
                                      & hd(X4) = X9
                                      & cons(X9,nil) = X8
                                      & ssItem(X9) )
                                  & app(X7,X8) = X6
                                  & tl(X4) = X7
                                  & ssList(X8) )
                              & ssList(X7) )
                          & X3 != X6
                          & ssList(X6) ) )
                    | ( nil = X4
                      & nil != X3 )
                    | ! [X5] :
                        ( memberP(X2,X5)
                        | ~ memberP(X1,X5)
                        | ~ ssItem(X5) )
                    | X1 != X3
                    | X2 != X4
                    | ~ ssList(X4) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_17,negated_conjecture,
    ! [X259,X260,X261,X262] :
      ( ( ~ neq(esk51_0,nil)
        | ~ neq(nil,esk51_0)
        | ~ neq(nil,esk51_0)
        | hd(esk51_0) != X262
        | cons(X262,nil) != X261
        | ~ ssItem(X262)
        | app(X260,X261) != X259
        | tl(esk51_0) != X260
        | ~ ssList(X261)
        | ~ ssList(X260)
        | esk50_0 = X259
        | ~ ssList(X259) )
      & ( nil != esk51_0
        | nil = esk50_0 )
      & ~ memberP(esk49_0,esk52_0)
      & memberP(esk48_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(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_16])])])])]) ).

cnf(c_0_18,negated_conjecture,
    ( ~ neq(esk51_0,nil)
    | ~ neq(nil,esk51_0)
    | ~ neq(nil,esk51_0)
    | hd(esk51_0) != X4
    | cons(X4,nil) != X3
    | ~ ssItem(X4)
    | app(X2,X3) != X1
    | tl(esk51_0) != X2
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | esk50_0 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_19,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_20,plain,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssList(tl(X1)) ) ),
    inference(fof_simplification,[status(thm)],[ax24]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ neq(esk51_0,nil)
    | ~ neq(nil,esk51_0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X4)
    | cons(X4,nil) != X3
    | app(X2,X3) != X1
    | tl(esk51_0) != X2
    | hd(esk51_0) != X4
    | esk50_0 = X1 ),
    inference(cn,[status(thm)],[c_0_18]) ).

cnf(c_0_22,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | ssList(app(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_23,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_20])])]) ).

cnf(c_0_24,negated_conjecture,
    ssList(esk49_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,negated_conjecture,
    esk49_0 = esk51_0,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_26,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    inference(fof_simplification,[status(thm)],[ax15]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ ssItem(hd(esk51_0))
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk51_0)
    | ~ ssList(tl(esk51_0))
    | ~ ssList(cons(hd(esk51_0),nil))
    | app(tl(esk51_0),cons(hd(esk51_0),nil)) = esk50_0 ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_21])])])]),c_0_22]) ).

cnf(c_0_28,plain,
    ( ~ ssList(X1)
    | ssList(tl(X1))
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_29,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_24,c_0_25]) ).

fof(c_0_30,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_26])])])])]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ ssItem(hd(esk51_0))
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk51_0)
    | ~ ssList(cons(hd(esk51_0),nil))
    | esk51_0 = nil
    | app(tl(esk51_0),cons(hd(esk51_0),nil)) = esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).

cnf(c_0_32,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | neq(X1,X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

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

fof(c_0_34,plain,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssItem(hd(X1)) ) ),
    inference(fof_simplification,[status(thm)],[ax22]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ ssItem(hd(esk51_0))
    | ~ neq(esk51_0,nil)
    | ~ ssList(cons(hd(esk51_0),nil))
    | esk51_0 = nil
    | app(tl(esk51_0),cons(hd(esk51_0),nil)) = esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_29]),c_0_33])]) ).

fof(c_0_36,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_34])])]) ).

fof(c_0_37,plain,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => cons(hd(X1),tl(X1)) = X1 ) ),
    inference(fof_simplification,[status(thm)],[ax78]) ).

fof(c_0_38,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_39,negated_conjecture,
    ( ~ ssItem(hd(esk51_0))
    | ~ ssList(cons(hd(esk51_0),nil))
    | esk51_0 = nil
    | app(tl(esk51_0),cons(hd(esk51_0),nil)) = esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_32]),c_0_33]),c_0_29])]) ).

cnf(c_0_40,plain,
    ( ~ ssList(X1)
    | ssItem(hd(X1))
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_41,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_42,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_37])])]) ).

fof(c_0_43,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_38])])])]) ).

fof(c_0_44,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_45,negated_conjecture,
    ( ~ ssList(cons(hd(esk51_0),nil))
    | esk51_0 = nil
    | app(tl(esk51_0),cons(hd(esk51_0),nil)) = esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_29])]) ).

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

cnf(c_0_47,plain,
    ( ~ ssList(X1)
    | cons(hd(X1),tl(X1)) = X1
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_48,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | tl(app(X1,X2)) = app(tl(X1),X2)
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_49,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | nil != app(X1,X2)
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_50,negated_conjecture,
    ( ~ ssItem(hd(esk51_0))
    | esk51_0 = nil
    | app(tl(esk51_0),cons(hd(esk51_0),nil)) = esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_33])]) ).

cnf(c_0_51,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_47,c_0_48]),c_0_22]),c_0_49]) ).

cnf(c_0_52,negated_conjecture,
    ( esk51_0 = nil
    | app(tl(esk51_0),cons(hd(esk51_0),nil)) = esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_40]),c_0_29])]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ ssList(cons(hd(esk51_0),nil))
    | esk51_0 = nil
    | cons(hd(app(esk51_0,cons(hd(esk51_0),nil))),esk50_0) = app(esk51_0,cons(hd(esk51_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_29])]) ).

fof(c_0_54,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil != X1
           => hd(app(X1,X2)) = hd(X1) ) ) ),
    inference(fof_simplification,[status(thm)],[ax85]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ ssItem(hd(esk51_0))
    | esk51_0 = nil
    | cons(hd(app(esk51_0,cons(hd(esk51_0),nil))),esk50_0) = app(esk51_0,cons(hd(esk51_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_46]),c_0_33])]) ).

fof(c_0_56,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_54])])])]) ).

cnf(c_0_57,negated_conjecture,
    ( esk51_0 = nil
    | cons(hd(app(esk51_0,cons(hd(esk51_0),nil))),esk50_0) = app(esk51_0,cons(hd(esk51_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_40]),c_0_29])]) ).

cnf(c_0_58,plain,
    ( ~ ssList(X2)
    | ~ ssList(X1)
    | hd(app(X1,X2)) = hd(X1)
    | nil = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ ssList(cons(hd(esk51_0),nil))
    | esk51_0 = nil
    | app(esk51_0,cons(hd(esk51_0),nil)) = cons(hd(esk51_0),esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_29])]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ ssItem(hd(esk51_0))
    | esk51_0 = nil
    | app(esk51_0,cons(hd(esk51_0),nil)) = cons(hd(esk51_0),esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_46]),c_0_33])]) ).

cnf(c_0_61,negated_conjecture,
    ( esk51_0 = nil
    | app(esk51_0,cons(hd(esk51_0),nil)) = cons(hd(esk51_0),esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_40]),c_0_29])]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ ssList(cons(hd(esk51_0),nil))
    | esk51_0 = nil
    | app(tl(esk51_0),cons(hd(esk51_0),nil)) = tl(cons(hd(esk51_0),esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_61]),c_0_29])]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ ssItem(hd(esk51_0))
    | esk51_0 = nil
    | app(tl(esk51_0),cons(hd(esk51_0),nil)) = tl(cons(hd(esk51_0),esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_46]),c_0_33])]) ).

cnf(c_0_64,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | nil = X1
    | cons(hd(X1),tl(app(X1,X2))) = app(X1,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_58]),c_0_22]),c_0_49]) ).

cnf(c_0_65,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | ssList(app(tl(X1),X2))
    | nil = X1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_48]),c_0_22]),c_0_49]) ).

cnf(c_0_66,negated_conjecture,
    ( esk51_0 = nil
    | app(tl(esk51_0),cons(hd(esk51_0),nil)) = tl(cons(hd(esk51_0),esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_40]),c_0_29])]) ).

fof(c_0_67,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => nil != cons(X2,X1) ) ),
    inference(fof_simplification,[status(thm)],[ax21]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ ssList(cons(hd(esk51_0),nil))
    | esk51_0 = nil
    | cons(hd(esk51_0),tl(cons(hd(esk51_0),esk50_0))) = cons(hd(esk51_0),esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_61]),c_0_29])]) ).

cnf(c_0_69,negated_conjecture,
    ( ~ ssList(cons(hd(esk51_0),nil))
    | ssList(tl(cons(hd(esk51_0),esk50_0)))
    | esk51_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_29])]) ).

fof(c_0_70,plain,
    ! [X125,X126] :
      ( nil != cons(X126,X125)
      | ~ ssItem(X126)
      | ~ ssList(X125) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])]) ).

cnf(c_0_71,negated_conjecture,
    ( ~ ssItem(hd(esk51_0))
    | esk51_0 = nil
    | cons(hd(esk51_0),tl(cons(hd(esk51_0),esk50_0))) = cons(hd(esk51_0),esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_46]),c_0_33])]) ).

cnf(c_0_72,negated_conjecture,
    ( ~ ssItem(hd(esk51_0))
    | ssList(tl(cons(hd(esk51_0),esk50_0)))
    | esk51_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_46]),c_0_33])]) ).

cnf(c_0_73,negated_conjecture,
    ( ~ ssList(cons(hd(esk51_0),nil))
    | esk51_0 = nil
    | hd(cons(hd(esk51_0),esk50_0)) = hd(esk51_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_61]),c_0_29])]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ ssList(cons(hd(esk51_0),nil))
    | ssList(cons(hd(esk51_0),esk50_0))
    | esk51_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_61]),c_0_29])]) ).

fof(c_0_75,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_76,negated_conjecture,
    memberP(esk48_0,esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_77,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_78,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_79,plain,
    ( nil != cons(X2,X1)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_80,negated_conjecture,
    ( esk51_0 = nil
    | cons(hd(esk51_0),tl(cons(hd(esk51_0),esk50_0))) = cons(hd(esk51_0),esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_40]),c_0_29])]) ).

cnf(c_0_81,negated_conjecture,
    ( ssList(tl(cons(hd(esk51_0),esk50_0)))
    | esk51_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_40]),c_0_29])]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ ssItem(hd(esk51_0))
    | esk51_0 = nil
    | hd(cons(hd(esk51_0),esk50_0)) = hd(esk51_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_46]),c_0_33])]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ ssItem(hd(esk51_0))
    | ssList(cons(hd(esk51_0),esk50_0))
    | esk51_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_46]),c_0_33])]) ).

cnf(c_0_84,plain,
    ( ~ ssItem(X2)
    | ~ ssItem(X3)
    | ~ ssList(X1)
    | ~ memberP(X1,X2)
    | memberP(cons(X3,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_85,negated_conjecture,
    memberP(esk50_0,esk52_0),
    inference(rw,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_86,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_78,c_0_77]) ).

cnf(c_0_87,negated_conjecture,
    ssItem(esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ ssItem(hd(esk51_0))
    | cons(hd(esk51_0),esk50_0) != nil
    | esk51_0 = nil ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).

cnf(c_0_89,negated_conjecture,
    ( esk51_0 = nil
    | hd(cons(hd(esk51_0),esk50_0)) = hd(esk51_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_40]),c_0_29])]) ).

cnf(c_0_90,negated_conjecture,
    ( ssList(cons(hd(esk51_0),esk50_0))
    | esk51_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_40]),c_0_29])]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ ssItem(X1)
    | memberP(cons(X1,esk50_0),esk52_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),c_0_87])]) ).

cnf(c_0_92,negated_conjecture,
    ( cons(hd(esk51_0),esk50_0) != nil
    | esk51_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_40]),c_0_29])]) ).

cnf(c_0_93,negated_conjecture,
    ( ssItem(hd(esk51_0))
    | esk51_0 = nil
    | cons(hd(esk51_0),esk50_0) = nil ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_89]),c_0_90]) ).

cnf(c_0_94,negated_conjecture,
    ( ~ ssItem(hd(app(esk51_0,cons(hd(esk51_0),nil))))
    | memberP(app(esk51_0,cons(hd(esk51_0),nil)),esk52_0)
    | esk51_0 = nil ),
    inference(spm,[status(thm)],[c_0_91,c_0_57]) ).

cnf(c_0_95,negated_conjecture,
    ( ssItem(hd(esk51_0))
    | esk51_0 = nil ),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

fof(c_0_96,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_97,negated_conjecture,
    ( ~ ssList(cons(hd(esk51_0),nil))
    | memberP(app(esk51_0,cons(hd(esk51_0),nil)),esk52_0)
    | esk51_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_58]),c_0_29])]),c_0_95]) ).

cnf(c_0_98,negated_conjecture,
    ~ memberP(esk49_0,esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_99,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_96]) ).

cnf(c_0_100,negated_conjecture,
    ( memberP(app(esk51_0,cons(hd(esk51_0),nil)),esk52_0)
    | esk51_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_46]),c_0_33])]),c_0_95]) ).

cnf(c_0_101,negated_conjecture,
    ~ memberP(esk51_0,esk52_0),
    inference(rw,[status(thm)],[c_0_98,c_0_25]) ).

cnf(c_0_102,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssList(X3)
    | X1 != X2
    | memberP(cons(X2,X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_103,negated_conjecture,
    ( ~ ssList(cons(hd(esk51_0),nil))
    | memberP(cons(hd(esk51_0),nil),esk52_0)
    | esk51_0 = nil ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_29]),c_0_87])]),c_0_101]) ).

fof(c_0_104,plain,
    ! [X1] :
      ( ssItem(X1)
     => ~ memberP(nil,X1) ),
    inference(fof_simplification,[status(thm)],[ax38]) ).

cnf(c_0_105,plain,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | memberP(cons(X1,X2),X1) ),
    inference(er,[status(thm)],[c_0_102]) ).

cnf(c_0_106,plain,
    ( ~ ssItem(X3)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ memberP(cons(X1,X2),X3)
    | memberP(X2,X3)
    | X3 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_107,negated_conjecture,
    ( memberP(cons(hd(esk51_0),nil),esk52_0)
    | esk51_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_46]),c_0_33])]),c_0_95]) ).

fof(c_0_108,plain,
    ! [X160] :
      ( ~ memberP(nil,X160)
      | ~ ssItem(X160) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_104])])]) ).

cnf(c_0_109,plain,
    ( ~ ssList(X1)
    | memberP(X1,hd(X1))
    | nil = X1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_47]),c_0_40]),c_0_28]) ).

cnf(c_0_110,negated_conjecture,
    ( memberP(nil,esk52_0)
    | esk51_0 = nil
    | hd(esk51_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_106,c_0_107]),c_0_33]),c_0_87])]),c_0_95]) ).

cnf(c_0_111,plain,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_112,negated_conjecture,
    ( memberP(nil,esk52_0)
    | esk51_0 = nil ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_29])]),c_0_101]) ).

cnf(c_0_113,negated_conjecture,
    ( nil != esk51_0
    | nil = esk50_0 ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_114,negated_conjecture,
    esk51_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_87])]) ).

cnf(c_0_115,negated_conjecture,
    esk50_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_114])]) ).

cnf(c_0_116,negated_conjecture,
    ~ memberP(nil,esk52_0),
    inference(rw,[status(thm)],[c_0_101,c_0_114]) ).

cnf(c_0_117,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_115]),c_0_116]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWC395+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.46  % Computer : n001.cluster.edu
% 0.21/0.46  % Model    : x86_64 x86_64
% 0.21/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46  % Memory   : 8046.5625MB
% 0.21/0.46  % OS       : Linux 6.8.0-71-generic
% 0.21/0.46  % CPULimit : 300
% 0.21/0.46  % WCLimit  : 300
% 0.21/0.46  % DateTime : Mon Sep 21 08:27:00 UTC 2026
% 0.21/0.46  % CPUTime  : 
% 0.21/0.46  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.53  Running first-order theorem proving
% 0.24/0.53  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
% 10.76/1.90  % Version: 3.5.1
% 10.76/1.90  % Preprocessing class: FSLSSMSSSSSNFFN.
% 10.76/1.90  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.76/1.90  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.76/1.90  % Starting new_bool_3 with 300s (1) cores
% 10.76/1.90  % Starting new_bool_1 with 300s (1) cores
% 10.76/1.90  % Starting sh5l with 300s (1) cores
% 10.76/1.90  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2671087 completed with status 0
% 10.76/1.90  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 10.76/1.90  % Preprocessing class: FSLSSMSSSSSNFFN.
% 10.76/1.90  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.76/1.90  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.76/1.90  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.76/1.90  % No SInE strategy applied
% 10.76/1.90  % Search class: FGHSF-FSLM21-MFFFFFNN
% 10.76/1.90  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 10.76/1.90  % Starting SubtermCWHack with 136s (1) cores
% 10.76/1.90  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 10.76/1.90  % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 136s (1) cores
% 10.76/1.90  % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 10.76/1.90  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 10.76/1.90  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2671095 completed with status 0
% 10.76/1.90  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 10.76/1.90  % Preprocessing class: FSLSSMSSSSSNFFN.
% 10.76/1.90  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.76/1.90  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.76/1.90  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.76/1.90  % No SInE strategy applied
% 10.76/1.90  % Search class: FGHSF-FSLM21-MFFFFFNN
% 10.76/1.90  % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 10.76/1.90  % Starting SubtermCWHack with 136s (1) cores
% 10.76/1.90  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 10.76/1.90  % Preprocessing time       : 0.006 s
% 10.76/1.90  % Presaturation interreduction done
% 10.76/1.90  
% 10.76/1.90  % Proof found!
% 10.76/1.90  % SZS status Theorem
% 10.76/1.90  % SZS output start CNFRefutation
% See solution above
% 10.76/1.90  % Parsed axioms                        : 96
% 10.76/1.90  % Removed by relevancy pruning/SinE    : 0
% 10.76/1.90  % Initial clauses                      : 201
% 10.76/1.90  % Removed in clause preprocessing      : 2
% 10.76/1.90  % Initial clauses in saturation        : 199
% 10.76/1.90  % Processed clauses                    : 4610
% 10.76/1.90  % ...of these trivial                  : 18
% 10.76/1.90  % ...subsumed                          : 2912
% 10.76/1.90  % ...remaining for further processing  : 1679
% 10.76/1.90  % Other redundant clauses eliminated   : 192
% 10.76/1.90  % Clauses deleted for lack of memory   : 0
% 10.76/1.90  % Backward-subsumed                    : 430
% 10.76/1.90  % Backward-rewritten                   : 382
% 10.76/1.90  % Generated clauses                    : 21142
% 10.76/1.90  % ...of the previous two non-redundant : 19807
% 10.76/1.90  % ...aggressively subsumed             : 0
% 10.76/1.90  % Contextual simplify-reflections      : 731
% 10.76/1.90  % Paramodulations                      : 20945
% 10.76/1.90  % Factorizations                       : 0
% 10.76/1.90  % NegExts                              : 0
% 10.76/1.90  % Equation resolutions                 : 202
% 10.76/1.90  % Disequality decompositions           : 0
% 10.76/1.90  % Total rewrite steps                  : 12338
% 10.76/1.90  % ...of those cached                   : 12284
% 10.76/1.90  % Propositional unsat checks           : 0
% 10.76/1.90  %    Propositional check models        : 0
% 10.76/1.90  %    Propositional check unsatisfiable : 0
% 10.76/1.90  %    Propositional clauses             : 0
% 10.76/1.90  %    Propositional clauses after purity: 0
% 10.76/1.90  %    Propositional unsat core size     : 0
% 10.76/1.90  %    Propositional preprocessing time  : 0.000
% 10.76/1.90  %    Propositional encoding time       : 0.000
% 10.76/1.90  %    Propositional solver time         : 0.000
% 10.76/1.90  %    Success case prop preproc time    : 0.000
% 10.76/1.90  %    Success case prop encoding time   : 0.000
% 10.76/1.90  %    Success case prop solver time     : 0.000
% 10.76/1.90  % Current number of processed clauses  : 650
% 10.76/1.90  %    Positive orientable unit clauses  : 29
% 10.76/1.90  %    Positive unorientable unit clauses: 0
% 10.76/1.90  %    Negative unit clauses             : 3
% 10.76/1.90  %    Non-unit-clauses                  : 618
% 10.76/1.90  % Current number of unprocessed clauses: 15141
% 10.76/1.90  % ...number of literals in the above   : 100504
% 10.76/1.90  % Current number of archived formulas  : 0
% 10.76/1.90  % Current number of archived clauses   : 1005
% 10.76/1.90  % Clause-clause subsumption calls (NU) : 216404
% 10.76/1.90  % Rec. Clause-clause subsumption calls : 48429
% 10.76/1.90  % Non-unit clause-clause subsumptions  : 3647
% 10.76/1.90  % Unit Clause-clause subsumption calls : 2447
% 10.76/1.90  % Rewrite failures with RHS unbound    : 0
% 10.76/1.90  % BW rewrite match attempts            : 30
% 10.76/1.90  % BW rewrite match successes           : 30
% 10.76/1.90  % Condensation attempts                : 0
% 10.76/1.90  % Condensation successes               : 0
% 10.76/1.90  % Termbank termtop insertions          : 485568
% 10.76/1.90  % Search garbage collected termcells   : 4358
% 10.76/1.90  
% 10.76/1.90  % -------------------------------------------------
% 10.76/1.90  % User time                : 1.291 s
% 10.76/1.90  % System time              : 0.029 s
% 10.76/1.90  % Total time               : 1.320 s
% 10.76/1.90  % Maximum resident set size: 4020 pages
% 10.76/1.90  
% 10.76/1.90  % -------------------------------------------------
% 10.76/1.90  % User time                : 6.247 s
% 10.76/1.90  % System time              : 0.183 s
% 10.76/1.90  % Total time               : 6.429 s
% 10.76/1.90  % Maximum resident set size: 4608 pages
% 10.76/1.90  % E exiting
%------------------------------------------------------------------------------