TSTP Solution File: SWC172+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC172+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:39:42 EDT 2023

% Result   : Theorem 0.17s 0.53s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   62 (  18 unt;   0 def)
%            Number of atoms       :  278 (  88 equ)
%            Maximal formula atoms :   34 (   4 avg)
%            Number of connectives :  353 ( 137   ~; 140   |;  38   &)
%                                         (   3 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  10 con; 0-2 aty)
%            Number of variables   :   93 (   0 sgn;  63   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ~ ssList(X4)
                  | X2 != X4
                  | X1 != X3
                  | ! [X5] :
                      ( ssItem(X5)
                     => ! [X6] :
                          ( ~ ssItem(X6)
                          | ! [X7] :
                              ( ssList(X7)
                             => ! [X8] :
                                  ( ssList(X8)
                                 => app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) != X1 ) )
                          | neq(X5,X6) ) )
                  | ( ! [X9] :
                        ( ~ ssItem(X9)
                        | cons(X9,nil) != X3
                        | ~ memberP(X4,X9)
                        | ? [X10] :
                            ( ssItem(X10)
                            & X9 != X10
                            & memberP(X4,X10)
                            & leq(X10,X9) ) )
                    & ( nil != X4
                      | nil != X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.q4Fz3jfxUz/E---3.1_16320.p',co1) ).

fof(ax83,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil = app(X1,X2)
          <=> ( nil = X2
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.q4Fz3jfxUz/E---3.1_16320.p',ax83) ).

fof(ax26,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ssList(app(X1,X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.q4Fz3jfxUz/E---3.1_16320.p',ax26) ).

fof(ax1,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.q4Fz3jfxUz/E---3.1_16320.p',ax1) ).

fof(ax16,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ssList(cons(X2,X1)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.q4Fz3jfxUz/E---3.1_16320.p',ax16) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.q4Fz3jfxUz/E---3.1_16320.p',ax17) ).

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/tmp/tmp.q4Fz3jfxUz/E---3.1_16320.p',ax82) ).

fof(ax71,axiom,
    ! [X1] :
      ( ssItem(X1)
     => duplicatefreeP(cons(X1,nil)) ),
    file('/export/starexec/sandbox/tmp/tmp.q4Fz3jfxUz/E---3.1_16320.p',ax71) ).

fof(ax18,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) != X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.q4Fz3jfxUz/E---3.1_16320.p',ax18) ).

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/sandbox/tmp/tmp.q4Fz3jfxUz/E---3.1_16320.p',ax13) ).

fof(ax81,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) = app(cons(X2,nil),X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.q4Fz3jfxUz/E---3.1_16320.p',ax81) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ~ ssList(X4)
                    | X2 != X4
                    | X1 != X3
                    | ! [X5] :
                        ( ssItem(X5)
                       => ! [X6] :
                            ( ~ ssItem(X6)
                            | ! [X7] :
                                ( ssList(X7)
                               => ! [X8] :
                                    ( ssList(X8)
                                   => app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) != X1 ) )
                            | neq(X5,X6) ) )
                    | ( ! [X9] :
                          ( ~ ssItem(X9)
                          | cons(X9,nil) != X3
                          | ~ memberP(X4,X9)
                          | ? [X10] :
                              ( ssItem(X10)
                              & X9 != X10
                              & memberP(X4,X10)
                              & leq(X10,X9) ) )
                      & ( nil != X4
                        | nil != X3 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_12,negated_conjecture,
    ! [X264] :
      ( ssList(esk48_0)
      & ssList(esk49_0)
      & ssList(esk50_0)
      & ssList(esk51_0)
      & esk49_0 = esk51_0
      & esk48_0 = esk50_0
      & ssItem(esk52_0)
      & ssItem(esk53_0)
      & ssList(esk54_0)
      & ssList(esk55_0)
      & app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk48_0
      & ~ neq(esk52_0,esk53_0)
      & ( nil = esk51_0
        | ssItem(esk56_0) )
      & ( nil = esk50_0
        | ssItem(esk56_0) )
      & ( nil = esk51_0
        | cons(esk56_0,nil) = esk50_0 )
      & ( nil = esk50_0
        | cons(esk56_0,nil) = esk50_0 )
      & ( nil = esk51_0
        | memberP(esk51_0,esk56_0) )
      & ( nil = esk50_0
        | memberP(esk51_0,esk56_0) )
      & ( nil = esk51_0
        | ~ ssItem(X264)
        | esk56_0 = X264
        | ~ memberP(esk51_0,X264)
        | ~ leq(X264,esk56_0) )
      & ( nil = esk50_0
        | ~ ssItem(X264)
        | esk56_0 = X264
        | ~ memberP(esk51_0,X264)
        | ~ leq(X264,esk56_0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])]) ).

fof(c_0_13,plain,
    ! [X229,X230] :
      ( ( nil = X230
        | nil != app(X229,X230)
        | ~ ssList(X230)
        | ~ ssList(X229) )
      & ( nil = X229
        | nil != app(X229,X230)
        | ~ ssList(X230)
        | ~ ssList(X229) )
      & ( nil != X230
        | nil != X229
        | nil = app(X229,X230)
        | ~ ssList(X230)
        | ~ ssList(X229) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])]) ).

cnf(c_0_14,negated_conjecture,
    app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk48_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

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

cnf(c_0_16,plain,
    ( nil = X1
    | nil != app(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk50_0,
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    ssList(esk55_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_19,plain,
    ! [X134,X135] :
      ( ~ ssList(X134)
      | ~ ssList(X135)
      | ssList(app(X134,X135)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).

cnf(c_0_20,negated_conjecture,
    ( app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)) = nil
    | esk50_0 != nil
    | ~ ssList(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).

cnf(c_0_21,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_22,plain,
    ( nil = X1
    | nil != app(X2,X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_23,negated_conjecture,
    ( app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)) = nil
    | esk50_0 != nil
    | ~ ssList(app(esk54_0,cons(esk52_0,nil)))
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

fof(c_0_24,plain,
    ! [X11,X12] :
      ( ( ~ neq(X11,X12)
        | X11 != X12
        | ~ ssItem(X12)
        | ~ ssItem(X11) )
      & ( X11 = X12
        | neq(X11,X12)
        | ~ ssItem(X12)
        | ~ ssItem(X11) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1])])])]) ).

cnf(c_0_25,negated_conjecture,
    ( cons(esk53_0,nil) = nil
    | esk50_0 != nil
    | ~ ssList(app(esk54_0,cons(esk52_0,nil)))
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    ssList(esk54_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_27,plain,
    ! [X115,X116] :
      ( ~ ssList(X115)
      | ~ ssItem(X116)
      | ssList(cons(X116,X115)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).

cnf(c_0_28,negated_conjecture,
    ~ neq(esk52_0,esk53_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_29,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_30,negated_conjecture,
    ssItem(esk53_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_31,negated_conjecture,
    ssItem(esk52_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_32,negated_conjecture,
    ( cons(esk53_0,nil) = nil
    | esk50_0 != nil
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_21]),c_0_26])]) ).

cnf(c_0_33,plain,
    ( ssList(cons(X2,X1))
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_34,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_35,negated_conjecture,
    esk53_0 = esk52_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])]) ).

fof(c_0_36,plain,
    ! [X226,X227,X228] :
      ( ~ ssList(X226)
      | ~ ssList(X227)
      | ~ ssList(X228)
      | app(app(X226,X227),X228) = app(X226,app(X227,X228)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).

fof(c_0_37,plain,
    ! [X209] :
      ( ~ ssItem(X209)
      | duplicatefreeP(cons(X209,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax71])]) ).

fof(c_0_38,plain,
    ! [X117,X118] :
      ( ~ ssList(X117)
      | ~ ssItem(X118)
      | cons(X118,X117) != X117 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])]) ).

cnf(c_0_39,negated_conjecture,
    ( cons(esk53_0,nil) = nil
    | esk50_0 != nil
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_30])]) ).

fof(c_0_40,plain,
    ! [X93,X94,X95,X96,X97,X98] :
      ( ( ~ duplicatefreeP(X93)
        | ~ ssItem(X94)
        | ~ ssItem(X95)
        | ~ ssList(X96)
        | ~ ssList(X97)
        | ~ ssList(X98)
        | app(app(X96,cons(X94,X97)),cons(X95,X98)) != X93
        | X94 != X95
        | ~ ssList(X93) )
      & ( ssItem(esk35_1(X93))
        | duplicatefreeP(X93)
        | ~ ssList(X93) )
      & ( ssItem(esk36_1(X93))
        | duplicatefreeP(X93)
        | ~ ssList(X93) )
      & ( ssList(esk37_1(X93))
        | duplicatefreeP(X93)
        | ~ ssList(X93) )
      & ( ssList(esk38_1(X93))
        | duplicatefreeP(X93)
        | ~ ssList(X93) )
      & ( ssList(esk39_1(X93))
        | duplicatefreeP(X93)
        | ~ ssList(X93) )
      & ( app(app(esk37_1(X93),cons(esk35_1(X93),esk38_1(X93))),cons(esk36_1(X93),esk39_1(X93))) = X93
        | duplicatefreeP(X93)
        | ~ ssList(X93) )
      & ( esk35_1(X93) = esk36_1(X93)
        | duplicatefreeP(X93)
        | ~ ssList(X93) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax13])])])])]) ).

cnf(c_0_41,negated_conjecture,
    app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk52_0,nil)),esk55_0) = esk50_0,
    inference(spm,[status(thm)],[c_0_17,c_0_35]) ).

cnf(c_0_42,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_43,plain,
    ! [X224,X225] :
      ( ~ ssList(X224)
      | ~ ssItem(X225)
      | cons(X225,X224) = app(cons(X225,nil),X224) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).

cnf(c_0_44,plain,
    ( duplicatefreeP(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_45,negated_conjecture,
    ( nil = esk50_0
    | cons(esk56_0,nil) = esk50_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_46,negated_conjecture,
    ( nil = esk50_0
    | ssItem(esk56_0) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_47,plain,
    ( ~ ssList(X1)
    | ~ ssItem(X2)
    | cons(X2,X1) != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_48,negated_conjecture,
    ( cons(esk53_0,nil) = nil
    | esk50_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_33]),c_0_34]),c_0_31])]) ).

cnf(c_0_49,plain,
    ( ~ duplicatefreeP(X1)
    | ~ ssItem(X2)
    | ~ ssItem(X3)
    | ~ ssList(X4)
    | ~ ssList(X5)
    | ~ ssList(X6)
    | app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
    | X2 != X3
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_50,negated_conjecture,
    ( app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0)) = esk50_0
    | ~ ssList(app(esk54_0,cons(esk52_0,nil)))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_18])]) ).

cnf(c_0_51,plain,
    ( cons(X2,X1) = app(cons(X2,nil),X1)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_52,negated_conjecture,
    ( esk50_0 = nil
    | duplicatefreeP(esk50_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).

cnf(c_0_53,negated_conjecture,
    esk50_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_34]),c_0_30])]) ).

cnf(c_0_54,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_55,plain,
    ( ~ duplicatefreeP(app(app(X1,cons(X2,X3)),cons(X2,X4)))
    | ~ ssList(app(app(X1,cons(X2,X3)),cons(X2,X4)))
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_49])]) ).

cnf(c_0_56,negated_conjecture,
    ( app(app(esk54_0,cons(esk52_0,nil)),cons(esk52_0,esk55_0)) = esk50_0
    | ~ ssList(app(esk54_0,cons(esk52_0,nil)))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_18]),c_0_31])]) ).

cnf(c_0_57,negated_conjecture,
    duplicatefreeP(esk50_0),
    inference(sr,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_58,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_54,c_0_15]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ ssList(app(esk54_0,cons(esk52_0,nil)))
    | ~ ssList(cons(esk52_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(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_58]),c_0_18]),c_0_34]),c_0_26]),c_0_31])]) ).

cnf(c_0_60,negated_conjecture,
    ~ ssList(cons(esk52_0,nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_21]),c_0_26])]) ).

cnf(c_0_61,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_33]),c_0_34]),c_0_31])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SWC172+1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.12  % Command    : run_E %s %d THM
% 0.12/0.32  % Computer : n007.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 2400
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Oct  3 01:45:54 EDT 2023
% 0.12/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  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/tmp/tmp.q4Fz3jfxUz/E---3.1_16320.p
% 0.17/0.53  # Version: 3.1pre001
% 0.17/0.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.53  # Starting sh5l with 300s (1) cores
% 0.17/0.53  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 16398 completed with status 0
% 0.17/0.53  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.17/0.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.53  # No SInE strategy applied
% 0.17/0.53  # Search class: FGHSF-FSLM21-MFFFFFNN
% 0.17/0.53  # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.53  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.17/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.53  # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 0.17/0.53  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 0.17/0.53  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 136s (1) cores
% 0.17/0.53  # G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with pid 16408 completed with status 0
% 0.17/0.53  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y
% 0.17/0.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.53  # No SInE strategy applied
% 0.17/0.53  # Search class: FGHSF-FSLM21-MFFFFFNN
% 0.17/0.53  # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.53  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.17/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.53  # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 0.17/0.53  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 0.17/0.53  # Preprocessing time       : 0.003 s
% 0.17/0.53  # Presaturation interreduction done
% 0.17/0.53  
% 0.17/0.53  # Proof found!
% 0.17/0.53  # SZS status Theorem
% 0.17/0.53  # SZS output start CNFRefutation
% See solution above
% 0.17/0.53  # Parsed axioms                        : 96
% 0.17/0.53  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.53  # Initial clauses                      : 210
% 0.17/0.53  # Removed in clause preprocessing      : 2
% 0.17/0.53  # Initial clauses in saturation        : 208
% 0.17/0.53  # Processed clauses                    : 641
% 0.17/0.53  # ...of these trivial                  : 11
% 0.17/0.53  # ...subsumed                          : 78
% 0.17/0.53  # ...remaining for further processing  : 552
% 0.17/0.53  # Other redundant clauses eliminated   : 76
% 0.17/0.53  # Clauses deleted for lack of memory   : 0
% 0.17/0.53  # Backward-subsumed                    : 51
% 0.17/0.53  # Backward-rewritten                   : 6
% 0.17/0.53  # Generated clauses                    : 1557
% 0.17/0.53  # ...of the previous two non-redundant : 1336
% 0.17/0.53  # ...aggressively subsumed             : 0
% 0.17/0.53  # Contextual simplify-reflections      : 35
% 0.17/0.53  # Paramodulations                      : 1468
% 0.17/0.53  # Factorizations                       : 0
% 0.17/0.53  # NegExts                              : 0
% 0.17/0.53  # Equation resolutions                 : 81
% 0.17/0.53  # Total rewrite steps                  : 1108
% 0.17/0.53  # Propositional unsat checks           : 0
% 0.17/0.53  #    Propositional check models        : 0
% 0.17/0.53  #    Propositional check unsatisfiable : 0
% 0.17/0.53  #    Propositional clauses             : 0
% 0.17/0.53  #    Propositional clauses after purity: 0
% 0.17/0.53  #    Propositional unsat core size     : 0
% 0.17/0.53  #    Propositional preprocessing time  : 0.000
% 0.17/0.53  #    Propositional encoding time       : 0.000
% 0.17/0.53  #    Propositional solver time         : 0.000
% 0.17/0.53  #    Success case prop preproc time    : 0.000
% 0.17/0.53  #    Success case prop encoding time   : 0.000
% 0.17/0.53  #    Success case prop solver time     : 0.000
% 0.17/0.53  # Current number of processed clauses  : 260
% 0.17/0.53  #    Positive orientable unit clauses  : 45
% 0.17/0.53  #    Positive unorientable unit clauses: 0
% 0.17/0.53  #    Negative unit clauses             : 7
% 0.17/0.53  #    Non-unit-clauses                  : 208
% 0.17/0.53  # Current number of unprocessed clauses: 1090
% 0.17/0.53  # ...number of literals in the above   : 6992
% 0.17/0.53  # Current number of archived formulas  : 0
% 0.17/0.53  # Current number of archived clauses   : 269
% 0.17/0.53  # Clause-clause subsumption calls (NU) : 21250
% 0.17/0.53  # Rec. Clause-clause subsumption calls : 5987
% 0.17/0.53  # Non-unit clause-clause subsumptions  : 97
% 0.17/0.53  # Unit Clause-clause subsumption calls : 198
% 0.17/0.53  # Rewrite failures with RHS unbound    : 0
% 0.17/0.53  # BW rewrite match attempts            : 16
% 0.17/0.53  # BW rewrite match successes           : 15
% 0.17/0.53  # Condensation attempts                : 0
% 0.17/0.53  # Condensation successes               : 0
% 0.17/0.53  # Termbank termtop insertions          : 47978
% 0.17/0.53  
% 0.17/0.53  # -------------------------------------------------
% 0.17/0.53  # User time                : 0.066 s
% 0.17/0.53  # System time              : 0.007 s
% 0.17/0.53  # Total time               : 0.073 s
% 0.17/0.53  # Maximum resident set size: 2536 pages
% 0.17/0.53  
% 0.17/0.53  # -------------------------------------------------
% 0.17/0.53  # User time                : 0.311 s
% 0.17/0.53  # System time              : 0.022 s
% 0.17/0.53  # Total time               : 0.332 s
% 0.17/0.53  # Maximum resident set size: 1804 pages
% 0.17/0.53  % E---3.1 exiting
% 0.17/0.53  % E---3.1 exiting
%------------------------------------------------------------------------------