TSTP Solution File: SWC165+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC165+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 19:41:49 EDT 2023

% Result   : Theorem 0.85s 0.55s
% Output   : CNFRefutation 0.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   62 (  18 unt;   0 def)
%            Number of atoms       :  300 (  94 equ)
%            Maximal formula atoms :   48 (   4 avg)
%            Number of connectives :  373 ( 135   ~; 144   |;  46   &)
%                                         (   3 <=>;  45  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  12 con; 0-2 aty)
%            Number of variables   :  100 (   0 sgn;  68   !;   4   ?)

% 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)
                         => ! [X10] :
                              ( ssList(X10)
                             => ! [X11] :
                                  ( ssList(X11)
                                 => ( cons(X9,nil) != X3
                                    | app(app(X10,X3),X11) != X4
                                    | ? [X12] :
                                        ( ssItem(X12)
                                        & memberP(X10,X12)
                                        & lt(X9,X12) )
                                    | ? [X13] :
                                        ( ssItem(X13)
                                        & memberP(X11,X13)
                                        & lt(X13,X9) ) ) ) ) )
                      & ( nil != X4
                        | nil != X3 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bEBvy0GNPx/E---3.1_15652.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.bEBvy0GNPx/E---3.1_15652.p',ax83) ).

fof(ax26,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ssList(app(X1,X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bEBvy0GNPx/E---3.1_15652.p',ax26) ).

fof(ax1,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bEBvy0GNPx/E---3.1_15652.p',ax1) ).

fof(ax16,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ssList(cons(X2,X1)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bEBvy0GNPx/E---3.1_15652.p',ax16) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.bEBvy0GNPx/E---3.1_15652.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.bEBvy0GNPx/E---3.1_15652.p',ax82) ).

fof(ax71,axiom,
    ! [X1] :
      ( ssItem(X1)
     => duplicatefreeP(cons(X1,nil)) ),
    file('/export/starexec/sandbox/tmp/tmp.bEBvy0GNPx/E---3.1_15652.p',ax71) ).

fof(ax18,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) != X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.bEBvy0GNPx/E---3.1_15652.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.bEBvy0GNPx/E---3.1_15652.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.bEBvy0GNPx/E---3.1_15652.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)
                           => ! [X10] :
                                ( ssList(X10)
                               => ! [X11] :
                                    ( ssList(X11)
                                   => ( cons(X9,nil) != X3
                                      | app(app(X10,X3),X11) != X4
                                      | ? [X12] :
                                          ( ssItem(X12)
                                          & memberP(X10,X12)
                                          & lt(X9,X12) )
                                      | ? [X13] :
                                          ( ssItem(X13)
                                          & memberP(X11,X13)
                                          & lt(X13,X9) ) ) ) ) )
                        & ( nil != X4
                          | nil != X3 ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_12,negated_conjecture,
    ! [X269,X270] :
      ( 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
        | ssList(esk57_0) )
      & ( nil = esk50_0
        | ssList(esk57_0) )
      & ( nil = esk51_0
        | ssList(esk58_0) )
      & ( nil = esk50_0
        | ssList(esk58_0) )
      & ( nil = esk51_0
        | cons(esk56_0,nil) = esk50_0 )
      & ( nil = esk50_0
        | cons(esk56_0,nil) = esk50_0 )
      & ( nil = esk51_0
        | app(app(esk57_0,esk50_0),esk58_0) = esk51_0 )
      & ( nil = esk50_0
        | app(app(esk57_0,esk50_0),esk58_0) = esk51_0 )
      & ( nil = esk51_0
        | ~ ssItem(X269)
        | ~ memberP(esk57_0,X269)
        | ~ lt(esk56_0,X269) )
      & ( nil = esk50_0
        | ~ ssItem(X269)
        | ~ memberP(esk57_0,X269)
        | ~ lt(esk56_0,X269) )
      & ( nil = esk51_0
        | ~ ssItem(X270)
        | ~ memberP(esk58_0,X270)
        | ~ lt(X270,esk56_0) )
      & ( nil = esk50_0
        | ~ ssItem(X270)
        | ~ memberP(esk58_0,X270)
        | ~ lt(X270,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,
    ! [X232,X233] :
      ( ( nil = X233
        | nil != app(X232,X233)
        | ~ ssList(X233)
        | ~ ssList(X232) )
      & ( nil = X232
        | nil != app(X232,X233)
        | ~ ssList(X233)
        | ~ ssList(X232) )
      & ( nil != X233
        | nil != X232
        | nil = app(X232,X233)
        | ~ ssList(X233)
        | ~ ssList(X232) ) ),
    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,
    ! [X137,X138] :
      ( ~ ssList(X137)
      | ~ ssList(X138)
      | ssList(app(X137,X138)) ),
    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,
    ! [X14,X15] :
      ( ( ~ neq(X14,X15)
        | X14 != X15
        | ~ ssItem(X15)
        | ~ ssItem(X14) )
      & ( X14 = X15
        | neq(X14,X15)
        | ~ ssItem(X15)
        | ~ ssItem(X14) ) ),
    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,
    ! [X118,X119] :
      ( ~ ssList(X118)
      | ~ ssItem(X119)
      | ssList(cons(X119,X118)) ),
    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,
    ! [X229,X230,X231] :
      ( ~ ssList(X229)
      | ~ ssList(X230)
      | ~ ssList(X231)
      | app(app(X229,X230),X231) = app(X229,app(X230,X231)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).

fof(c_0_37,plain,
    ! [X212] :
      ( ~ ssItem(X212)
      | duplicatefreeP(cons(X212,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax71])]) ).

fof(c_0_38,plain,
    ! [X120,X121] :
      ( ~ ssList(X120)
      | ~ ssItem(X121)
      | cons(X121,X120) != X120 ),
    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,
    ! [X96,X97,X98,X99,X100,X101] :
      ( ( ~ duplicatefreeP(X96)
        | ~ ssItem(X97)
        | ~ ssItem(X98)
        | ~ ssList(X99)
        | ~ ssList(X100)
        | ~ ssList(X101)
        | app(app(X99,cons(X97,X100)),cons(X98,X101)) != X96
        | X97 != X98
        | ~ ssList(X96) )
      & ( ssItem(esk35_1(X96))
        | duplicatefreeP(X96)
        | ~ ssList(X96) )
      & ( ssItem(esk36_1(X96))
        | duplicatefreeP(X96)
        | ~ ssList(X96) )
      & ( ssList(esk37_1(X96))
        | duplicatefreeP(X96)
        | ~ ssList(X96) )
      & ( ssList(esk38_1(X96))
        | duplicatefreeP(X96)
        | ~ ssList(X96) )
      & ( ssList(esk39_1(X96))
        | duplicatefreeP(X96)
        | ~ ssList(X96) )
      & ( app(app(esk37_1(X96),cons(esk35_1(X96),esk38_1(X96))),cons(esk36_1(X96),esk39_1(X96))) = X96
        | duplicatefreeP(X96)
        | ~ ssList(X96) )
      & ( esk35_1(X96) = esk36_1(X96)
        | duplicatefreeP(X96)
        | ~ ssList(X96) ) ),
    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,
    ! [X227,X228] :
      ( ~ ssList(X227)
      | ~ ssItem(X228)
      | cons(X228,X227) = app(cons(X228,nil),X227) ),
    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
% 0.06/0.10  % Problem    : SWC165+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.11  % Command    : run_E %s %d THM
% 0.10/0.32  % Computer : n007.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 2400
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Oct  3 01:45:39 EDT 2023
% 0.10/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order model finding
% 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 --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.bEBvy0GNPx/E---3.1_15652.p
% 0.85/0.55  # Version: 3.1pre001
% 0.85/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.85/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.85/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.85/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.85/0.55  # Starting sh5l with 300s (1) cores
% 0.85/0.55  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 15729 completed with status 0
% 0.85/0.55  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.85/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.85/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.85/0.55  # No SInE strategy applied
% 0.85/0.55  # Search class: FGHSF-FSLM21-MFFFFFNN
% 0.85/0.55  # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.85/0.55  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.85/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.85/0.55  # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 0.85/0.55  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 0.85/0.55  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 136s (1) cores
% 0.85/0.55  # G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with pid 15739 completed with status 0
% 0.85/0.55  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y
% 0.85/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.85/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.85/0.55  # No SInE strategy applied
% 0.85/0.55  # Search class: FGHSF-FSLM21-MFFFFFNN
% 0.85/0.55  # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.85/0.55  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 0.85/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.85/0.55  # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 0.85/0.55  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 0.85/0.55  # Preprocessing time       : 0.003 s
% 0.85/0.55  # Presaturation interreduction done
% 0.85/0.55  
% 0.85/0.55  # Proof found!
% 0.85/0.55  # SZS status Theorem
% 0.85/0.55  # SZS output start CNFRefutation
% See solution above
% 0.85/0.55  # Parsed axioms                        : 96
% 0.85/0.55  # Removed by relevancy pruning/SinE    : 0
% 0.85/0.55  # Initial clauses                      : 216
% 0.85/0.55  # Removed in clause preprocessing      : 2
% 0.85/0.55  # Initial clauses in saturation        : 214
% 0.85/0.55  # Processed clauses                    : 895
% 0.85/0.55  # ...of these trivial                  : 21
% 0.85/0.55  # ...subsumed                          : 176
% 0.85/0.55  # ...remaining for further processing  : 698
% 0.85/0.55  # Other redundant clauses eliminated   : 101
% 0.85/0.55  # Clauses deleted for lack of memory   : 0
% 0.85/0.55  # Backward-subsumed                    : 90
% 0.85/0.55  # Backward-rewritten                   : 10
% 0.85/0.55  # Generated clauses                    : 2218
% 0.85/0.55  # ...of the previous two non-redundant : 1908
% 0.85/0.55  # ...aggressively subsumed             : 0
% 0.85/0.55  # Contextual simplify-reflections      : 71
% 0.85/0.55  # Paramodulations                      : 2095
% 0.85/0.55  # Factorizations                       : 0
% 0.85/0.55  # NegExts                              : 0
% 0.85/0.55  # Equation resolutions                 : 106
% 0.85/0.55  # Total rewrite steps                  : 1749
% 0.85/0.55  # Propositional unsat checks           : 0
% 0.85/0.55  #    Propositional check models        : 0
% 0.85/0.55  #    Propositional check unsatisfiable : 0
% 0.85/0.55  #    Propositional clauses             : 0
% 0.85/0.55  #    Propositional clauses after purity: 0
% 0.85/0.55  #    Propositional unsat core size     : 0
% 0.85/0.55  #    Propositional preprocessing time  : 0.000
% 0.85/0.55  #    Propositional encoding time       : 0.000
% 0.85/0.55  #    Propositional solver time         : 0.000
% 0.85/0.55  #    Success case prop preproc time    : 0.000
% 0.85/0.55  #    Success case prop encoding time   : 0.000
% 0.85/0.55  #    Success case prop solver time     : 0.000
% 0.85/0.55  # Current number of processed clauses  : 348
% 0.85/0.55  #    Positive orientable unit clauses  : 54
% 0.85/0.55  #    Positive unorientable unit clauses: 0
% 0.85/0.55  #    Negative unit clauses             : 12
% 0.85/0.55  #    Non-unit-clauses                  : 282
% 0.85/0.55  # Current number of unprocessed clauses: 1353
% 0.85/0.55  # ...number of literals in the above   : 8534
% 0.85/0.55  # Current number of archived formulas  : 0
% 0.85/0.55  # Current number of archived clauses   : 327
% 0.85/0.55  # Clause-clause subsumption calls (NU) : 28748
% 0.85/0.55  # Rec. Clause-clause subsumption calls : 8436
% 0.85/0.55  # Non-unit clause-clause subsumptions  : 223
% 0.85/0.55  # Unit Clause-clause subsumption calls : 1250
% 0.85/0.55  # Rewrite failures with RHS unbound    : 0
% 0.85/0.55  # BW rewrite match attempts            : 14
% 0.85/0.55  # BW rewrite match successes           : 13
% 0.85/0.55  # Condensation attempts                : 0
% 0.85/0.55  # Condensation successes               : 0
% 0.85/0.55  # Termbank termtop insertions          : 58975
% 0.85/0.55  
% 0.85/0.55  # -------------------------------------------------
% 0.85/0.55  # User time                : 0.087 s
% 0.85/0.55  # System time              : 0.008 s
% 0.85/0.55  # Total time               : 0.095 s
% 0.85/0.55  # Maximum resident set size: 2552 pages
% 0.85/0.55  
% 0.85/0.55  # -------------------------------------------------
% 0.85/0.55  # User time                : 0.404 s
% 0.85/0.55  # System time              : 0.020 s
% 0.85/0.55  # Total time               : 0.425 s
% 0.85/0.55  # Maximum resident set size: 1808 pages
% 0.85/0.55  % E---3.1 exiting
%------------------------------------------------------------------------------