TSTP Solution File: SWC022+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWC022+1 : TPTP v8.2.0. 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 : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 04:27:00 EDT 2024

% Result   : Theorem 0.21s 0.56s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   75 (  12 unt;   0 def)
%            Number of atoms       :  281 (  81 equ)
%            Maximal formula atoms :   34 (   3 avg)
%            Number of connectives :  336 ( 130   ~; 132   |;  33   &)
%                                         (   3 <=>;  38  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   86 (   0 sgn  53   !;   7   ?)

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

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

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

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

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

fof(ax81,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) = app(cons(X2,nil),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).

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

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

fof(ax5,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( frontsegP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & app(X2,X3) = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).

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

fof(ax42,axiom,
    ! [X1] :
      ( ssList(X1)
     => frontsegP(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax42) ).

fof(ax18,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) != X1 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).

fof(ax45,axiom,
    ! [X1] :
      ( ssList(X1)
     => frontsegP(X1,nil) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax45) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ( ( ~ neq(X2,nil)
                          | ? [X5] :
                              ( ssList(X5)
                              & neq(X5,nil)
                              & frontsegP(X2,X5)
                              & frontsegP(X1,X5) )
                          | ? [X6] :
                              ( ssList(X6)
                              & X3 != X6
                              & ? [X7] :
                                  ( ssItem(X7)
                                  & cons(X7,nil) = X6
                                  & hd(X4) = X7
                                  & neq(nil,X4) ) ) )
                        & ( ~ neq(X2,nil)
                          | neq(X4,nil) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_14,negated_conjecture,
    ! [X12,X13,X14] :
      ( ssList(esk1_0)
      & ssList(esk2_0)
      & ssList(esk3_0)
      & ssList(esk4_0)
      & esk2_0 = esk4_0
      & esk1_0 = esk3_0
      & ( neq(esk2_0,nil)
        | neq(esk2_0,nil) )
      & ( ~ neq(esk4_0,nil)
        | neq(esk2_0,nil) )
      & ( neq(esk2_0,nil)
        | ~ ssList(X12)
        | ~ neq(X12,nil)
        | ~ frontsegP(esk2_0,X12)
        | ~ frontsegP(esk1_0,X12) )
      & ( ~ neq(esk4_0,nil)
        | ~ ssList(X12)
        | ~ neq(X12,nil)
        | ~ frontsegP(esk2_0,X12)
        | ~ frontsegP(esk1_0,X12) )
      & ( neq(esk2_0,nil)
        | ~ ssList(X13)
        | esk3_0 = X13
        | ~ ssItem(X14)
        | cons(X14,nil) != X13
        | hd(esk4_0) != X14
        | ~ neq(nil,esk4_0) )
      & ( ~ neq(esk4_0,nil)
        | ~ ssList(X13)
        | esk3_0 = X13
        | ~ ssItem(X14)
        | cons(X14,nil) != X13
        | hd(esk4_0) != X14
        | ~ neq(nil,esk4_0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])])]) ).

cnf(c_0_15,negated_conjecture,
    ( neq(esk2_0,nil)
    | neq(esk2_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_16,negated_conjecture,
    neq(esk2_0,nil),
    inference(cn,[status(thm)],[c_0_15]) ).

cnf(c_0_17,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_18,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    inference(fof_simplification,[status(thm)],[ax15]) ).

cnf(c_0_19,negated_conjecture,
    ( esk3_0 = X1
    | ~ neq(esk4_0,nil)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | cons(X2,nil) != X1
    | hd(esk4_0) != X2
    | ~ neq(nil,esk4_0) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,negated_conjecture,
    neq(esk4_0,nil),
    inference(rw,[status(thm)],[c_0_16,c_0_17]) ).

fof(c_0_22,plain,
    ! [X17,X18] :
      ( ( ~ neq(X17,X18)
        | X17 != X18
        | ~ ssList(X18)
        | ~ ssList(X17) )
      & ( X17 = X18
        | neq(X17,X18)
        | ~ ssList(X18)
        | ~ ssList(X17) ) ),
    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_18])])])])]) ).

cnf(c_0_23,negated_conjecture,
    ssList(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_24,plain,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssItem(hd(X1)) ) ),
    inference(fof_simplification,[status(thm)],[ax22]) ).

cnf(c_0_25,negated_conjecture,
    ( cons(hd(esk4_0),nil) = esk1_0
    | ~ ssList(cons(hd(esk4_0),nil))
    | ~ neq(nil,esk4_0)
    | ~ ssItem(hd(esk4_0)) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_21])])])]) ).

cnf(c_0_26,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_27,negated_conjecture,
    ssList(esk4_0),
    inference(rw,[status(thm)],[c_0_23,c_0_17]) ).

cnf(c_0_28,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

fof(c_0_29,plain,
    ! [X24] :
      ( ~ ssList(X24)
      | nil = X24
      | ssItem(hd(X24)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).

cnf(c_0_30,negated_conjecture,
    ( cons(hd(esk4_0),nil) = esk1_0
    | esk4_0 = nil
    | ~ ssList(cons(hd(esk4_0),nil))
    | ~ ssItem(hd(esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28])]) ).

cnf(c_0_31,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

fof(c_0_32,plain,
    ! [X34,X35] :
      ( ~ ssList(X34)
      | ~ ssItem(X35)
      | ssList(cons(X35,X34)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])]) ).

cnf(c_0_33,negated_conjecture,
    ( cons(hd(esk4_0),nil) = esk1_0
    | esk4_0 = nil
    | ~ ssList(cons(hd(esk4_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_27])]) ).

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

fof(c_0_35,plain,
    ! [X45,X46] :
      ( ~ ssList(X45)
      | ~ ssItem(X46)
      | cons(X46,X45) = app(cons(X46,nil),X45) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])]) ).

cnf(c_0_36,negated_conjecture,
    ( cons(hd(esk4_0),nil) = esk1_0
    | esk4_0 = nil
    | ~ ssItem(hd(esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_28])]) ).

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

cnf(c_0_38,plain,
    ( cons(X2,X1) = app(cons(X2,nil),X1)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_39,negated_conjecture,
    ( cons(hd(esk4_0),nil) = esk1_0
    | esk4_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_31]),c_0_27])]) ).

fof(c_0_40,plain,
    ! [X31] :
      ( ~ ssList(X31)
      | nil = X31
      | cons(hd(X31),tl(X31)) = X31 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).

cnf(c_0_41,negated_conjecture,
    ( cons(hd(esk4_0),X1) = app(esk1_0,X1)
    | esk4_0 = nil
    | ~ ssList(X1)
    | ~ ssItem(hd(esk4_0)) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

fof(c_0_42,plain,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssList(tl(X1)) ) ),
    inference(fof_simplification,[status(thm)],[ax24]) ).

fof(c_0_43,plain,
    ! [X49,X50,X52] :
      ( ( ssList(esk10_2(X49,X50))
        | ~ frontsegP(X49,X50)
        | ~ ssList(X50)
        | ~ ssList(X49) )
      & ( app(X50,esk10_2(X49,X50)) = X49
        | ~ frontsegP(X49,X50)
        | ~ ssList(X50)
        | ~ ssList(X49) )
      & ( ~ ssList(X52)
        | app(X50,X52) != X49
        | frontsegP(X49,X50)
        | ~ ssList(X50)
        | ~ ssList(X49) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5])])])])])]) ).

fof(c_0_44,plain,
    ! [X75,X76] :
      ( ~ ssList(X75)
      | ~ ssList(X76)
      | ssList(app(X75,X76)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])]) ).

cnf(c_0_45,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_46,negated_conjecture,
    ( cons(hd(esk4_0),X1) = app(esk1_0,X1)
    | esk4_0 = nil
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_31]),c_0_27])]) ).

fof(c_0_47,plain,
    ! [X68] :
      ( ~ ssList(X68)
      | nil = X68
      | ssList(tl(X68)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])]) ).

cnf(c_0_48,plain,
    ( frontsegP(X3,X2)
    | ~ ssList(X1)
    | app(X2,X1) != X3
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

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

cnf(c_0_50,negated_conjecture,
    ( app(esk1_0,tl(esk4_0)) = esk4_0
    | esk4_0 = nil
    | ~ ssList(tl(esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_27])]) ).

cnf(c_0_51,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ neq(esk4_0,nil)
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ frontsegP(esk2_0,X1)
    | ~ frontsegP(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_53,plain,
    ! [X58] :
      ( ~ ssList(X58)
      | frontsegP(X58,X58) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax42])])]) ).

cnf(c_0_54,plain,
    ( frontsegP(app(X1,X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_48]),c_0_49]) ).

cnf(c_0_55,negated_conjecture,
    ( app(esk1_0,tl(esk4_0)) = esk4_0
    | esk4_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_27])]) ).

cnf(c_0_56,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_57,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) != X1 ) ),
    inference(fof_simplification,[status(thm)],[ax18]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ frontsegP(esk1_0,X1)
    | ~ frontsegP(esk4_0,X1)
    | ~ ssList(X1)
    | ~ neq(X1,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_17]),c_0_21])]) ).

cnf(c_0_59,plain,
    ( frontsegP(X1,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_60,negated_conjecture,
    ( esk4_0 = nil
    | frontsegP(esk4_0,esk1_0)
    | ~ ssList(tl(esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).

fof(c_0_61,plain,
    ! [X36,X37] :
      ( ~ ssList(X36)
      | ~ ssItem(X37)
      | cons(X37,X36) != X36 ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ frontsegP(esk4_0,esk1_0)
    | ~ neq(esk1_0,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_56])]) ).

cnf(c_0_63,negated_conjecture,
    ( esk4_0 = nil
    | frontsegP(esk4_0,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_51]),c_0_27])]) ).

cnf(c_0_64,plain,
    ( ~ ssList(X1)
    | ~ ssItem(X2)
    | cons(X2,X1) != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_65,negated_conjecture,
    ( esk4_0 = nil
    | ~ neq(esk1_0,nil) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

fof(c_0_66,plain,
    ! [X66] :
      ( ~ ssList(X66)
      | frontsegP(X66,nil) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])])]) ).

cnf(c_0_67,negated_conjecture,
    ( esk4_0 = nil
    | esk1_0 != nil
    | ~ ssItem(hd(esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_39]),c_0_28])]) ).

cnf(c_0_68,negated_conjecture,
    ( esk1_0 = nil
    | esk4_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_26]),c_0_28]),c_0_56])]) ).

cnf(c_0_69,plain,
    ( frontsegP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_70,negated_conjecture,
    ( esk4_0 = nil
    | ~ ssItem(hd(esk4_0)) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    ( ~ frontsegP(esk4_0,nil)
    | ~ neq(nil,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_69]),c_0_28]),c_0_56])]) ).

cnf(c_0_72,negated_conjecture,
    esk4_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_31]),c_0_27])]) ).

cnf(c_0_73,negated_conjecture,
    ~ neq(nil,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_69]),c_0_27])]) ).

cnf(c_0_74,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_72]),c_0_73]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC022+1 : TPTP v8.2.0. Released v2.4.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 03:14:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.21/0.56  # Version: 3.1.0
% 0.21/0.56  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.56  # Starting sh5l with 300s (1) cores
% 0.21/0.56  # new_bool_3 with pid 4485 completed with status 0
% 0.21/0.56  # Result found by new_bool_3
% 0.21/0.56  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.56  # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.21/0.56  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.56  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.21/0.56  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with pid 4488 completed with status 0
% 0.21/0.56  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v
% 0.21/0.56  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.56  # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.21/0.56  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.56  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.21/0.56  # Preprocessing time       : 0.002 s
% 0.21/0.56  # Presaturation interreduction done
% 0.21/0.56  
% 0.21/0.56  # Proof found!
% 0.21/0.56  # SZS status Theorem
% 0.21/0.56  # SZS output start CNFRefutation
% See solution above
% 0.21/0.56  # Parsed axioms                        : 96
% 0.21/0.56  # Removed by relevancy pruning/SinE    : 59
% 0.21/0.56  # Initial clauses                      : 64
% 0.21/0.56  # Removed in clause preprocessing      : 0
% 0.21/0.56  # Initial clauses in saturation        : 64
% 0.21/0.56  # Processed clauses                    : 615
% 0.21/0.56  # ...of these trivial                  : 5
% 0.21/0.56  # ...subsumed                          : 320
% 0.21/0.56  # ...remaining for further processing  : 290
% 0.21/0.56  # Other redundant clauses eliminated   : 34
% 0.21/0.56  # Clauses deleted for lack of memory   : 0
% 0.21/0.56  # Backward-subsumed                    : 77
% 0.21/0.56  # Backward-rewritten                   : 48
% 0.21/0.56  # Generated clauses                    : 1357
% 0.21/0.56  # ...of the previous two non-redundant : 1199
% 0.21/0.56  # ...aggressively subsumed             : 0
% 0.21/0.56  # Contextual simplify-reflections      : 62
% 0.21/0.56  # Paramodulations                      : 1320
% 0.21/0.56  # Factorizations                       : 0
% 0.21/0.56  # NegExts                              : 0
% 0.21/0.56  # Equation resolutions                 : 39
% 0.21/0.56  # Disequality decompositions           : 0
% 0.21/0.56  # Total rewrite steps                  : 731
% 0.21/0.56  # ...of those cached                   : 720
% 0.21/0.56  # Propositional unsat checks           : 0
% 0.21/0.56  #    Propositional check models        : 0
% 0.21/0.56  #    Propositional check unsatisfiable : 0
% 0.21/0.56  #    Propositional clauses             : 0
% 0.21/0.56  #    Propositional clauses after purity: 0
% 0.21/0.56  #    Propositional unsat core size     : 0
% 0.21/0.56  #    Propositional preprocessing time  : 0.000
% 0.21/0.56  #    Propositional encoding time       : 0.000
% 0.21/0.56  #    Propositional solver time         : 0.000
% 0.21/0.56  #    Success case prop preproc time    : 0.000
% 0.21/0.56  #    Success case prop encoding time   : 0.000
% 0.21/0.56  #    Success case prop solver time     : 0.000
% 0.21/0.56  # Current number of processed clauses  : 99
% 0.21/0.56  #    Positive orientable unit clauses  : 9
% 0.21/0.56  #    Positive unorientable unit clauses: 0
% 0.21/0.56  #    Negative unit clauses             : 2
% 0.21/0.56  #    Non-unit-clauses                  : 88
% 0.21/0.56  # Current number of unprocessed clauses: 682
% 0.21/0.56  # ...number of literals in the above   : 3986
% 0.21/0.56  # Current number of archived formulas  : 0
% 0.21/0.56  # Current number of archived clauses   : 184
% 0.21/0.56  # Clause-clause subsumption calls (NU) : 7190
% 0.21/0.56  # Rec. Clause-clause subsumption calls : 2119
% 0.21/0.56  # Non-unit clause-clause subsumptions  : 458
% 0.21/0.56  # Unit Clause-clause subsumption calls : 53
% 0.21/0.56  # Rewrite failures with RHS unbound    : 0
% 0.21/0.56  # BW rewrite match attempts            : 2
% 0.21/0.56  # BW rewrite match successes           : 2
% 0.21/0.56  # Condensation attempts                : 0
% 0.21/0.56  # Condensation successes               : 0
% 0.21/0.56  # Termbank termtop insertions          : 27558
% 0.21/0.56  # Search garbage collected termcells   : 1795
% 0.21/0.56  
% 0.21/0.56  # -------------------------------------------------
% 0.21/0.56  # User time                : 0.056 s
% 0.21/0.56  # System time              : 0.002 s
% 0.21/0.56  # Total time               : 0.058 s
% 0.21/0.56  # Maximum resident set size: 1928 pages
% 0.21/0.56  
% 0.21/0.56  # -------------------------------------------------
% 0.21/0.56  # User time                : 0.059 s
% 0.21/0.56  # System time              : 0.005 s
% 0.21/0.56  # Total time               : 0.063 s
% 0.21/0.56  # Maximum resident set size: 1820 pages
% 0.21/0.56  % E---3.1 exiting
%------------------------------------------------------------------------------