TSTP Solution File: SWC310+1 by ET---2.0

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWC310+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n023.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  : 600s
% DateTime : Tue Jul 19 20:27:58 EDT 2022

% Result   : Theorem 0.37s 23.56s
% Output   : CNFRefutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   74 (  16 unt;   0 def)
%            Number of atoms       :  310 ( 126 equ)
%            Maximal formula atoms :   44 (   4 avg)
%            Number of connectives :  412 ( 176   ~; 166   |;  41   &)
%                                         (   1 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   93 (   0 sgn  48   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ~ ssList(X4)
                  | X2 != X4
                  | X1 != X3
                  | ( nil != X3
                    & nil = X4 )
                  | ( ! [X5] :
                        ( ssItem(X5)
                       => ! [X6] :
                            ( ~ ssList(X6)
                            | app(cons(X5,nil),X6) != X4
                            | app(X6,cons(X5,nil)) != X3 ) )
                    & neq(X4,nil) )
                  | ( ( nil != X2
                      | nil = X1 )
                    & ( ~ neq(X2,nil)
                      | ? [X7] :
                          ( ssList(X7)
                          & X1 = X7
                          & ? [X8] :
                              ( ssList(X8)
                              & ? [X9] :
                                  ( ssList(X9)
                                  & tl(X2) = X8
                                  & app(X8,X9) = X7
                                  & ? [X10] :
                                      ( ssItem(X10)
                                      & cons(X10,nil) = X9
                                      & hd(X2) = X10
                                      & neq(nil,X2) )
                                  & neq(nil,X2) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).

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

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

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

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

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

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

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

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

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

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

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

fof(c_0_12,negated_conjecture,
    ! [X17,X18,X19,X20] :
      ( ssList(esk1_0)
      & ssList(esk2_0)
      & ssList(esk3_0)
      & ssList(esk4_0)
      & esk2_0 = esk4_0
      & esk1_0 = esk3_0
      & ( nil = esk3_0
        | nil != esk4_0 )
      & ( ssItem(esk5_0)
        | ~ neq(esk4_0,nil) )
      & ( ssList(esk6_0)
        | ~ neq(esk4_0,nil) )
      & ( app(cons(esk5_0,nil),esk6_0) = esk4_0
        | ~ neq(esk4_0,nil) )
      & ( app(esk6_0,cons(esk5_0,nil)) = esk3_0
        | ~ neq(esk4_0,nil) )
      & ( neq(esk2_0,nil)
        | nil = esk2_0 )
      & ( ~ ssList(X17)
        | esk1_0 != X17
        | ~ ssList(X18)
        | ~ ssList(X19)
        | tl(esk2_0) != X18
        | app(X18,X19) != X17
        | ~ ssItem(X20)
        | cons(X20,nil) != X19
        | hd(esk2_0) != X20
        | ~ neq(nil,esk2_0)
        | ~ neq(nil,esk2_0)
        | nil = esk2_0 )
      & ( neq(esk2_0,nil)
        | nil != esk1_0 )
      & ( ~ ssList(X17)
        | esk1_0 != X17
        | ~ ssList(X18)
        | ~ ssList(X19)
        | tl(esk2_0) != X18
        | app(X18,X19) != X17
        | ~ ssItem(X20)
        | cons(X20,nil) != X19
        | hd(esk2_0) != X20
        | ~ neq(nil,esk2_0)
        | ~ neq(nil,esk2_0)
        | nil != esk1_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_11])])])])])])])]) ).

cnf(c_0_13,negated_conjecture,
    ( nil = esk3_0
    | nil != esk4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_14,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_16,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssItem(X4)
      | nil != cons(X4,X3) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])])])]) ).

fof(c_0_17,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssItem(X4)
      | cons(X4,X3) = app(cons(X4,nil),X3) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])])]) ).

cnf(c_0_18,negated_conjecture,
    ( app(cons(esk5_0,nil),esk6_0) = esk4_0
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,negated_conjecture,
    ( neq(esk2_0,nil)
    | nil != esk1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_20,negated_conjecture,
    ( esk1_0 = nil
    | esk2_0 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).

cnf(c_0_21,negated_conjecture,
    ( nil = esk2_0
    | neq(esk2_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_22,plain,
    ( nil != cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,plain,
    ( cons(X1,X2) = app(cons(X1,nil),X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    ( app(cons(esk5_0,nil),esk6_0) = esk2_0
    | ~ neq(esk2_0,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_15]),c_0_15]) ).

cnf(c_0_25,negated_conjecture,
    neq(esk2_0,nil),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    ( ssList(esk6_0)
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_27,plain,
    ( app(cons(X1,nil),X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(pm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_28,negated_conjecture,
    app(cons(esk5_0,nil),esk6_0) = esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).

cnf(c_0_29,negated_conjecture,
    ( ssList(esk6_0)
    | ~ neq(esk2_0,nil) ),
    inference(rw,[status(thm)],[c_0_26,c_0_15]) ).

cnf(c_0_30,negated_conjecture,
    ( ssItem(esk5_0)
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_31,negated_conjecture,
    ( esk2_0 != nil
    | ~ ssList(esk6_0)
    | ~ ssItem(esk5_0) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_32,negated_conjecture,
    ssList(esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_25])]) ).

cnf(c_0_33,negated_conjecture,
    ( ssItem(esk5_0)
    | ~ neq(esk2_0,nil) ),
    inference(rw,[status(thm)],[c_0_30,c_0_15]) ).

fof(c_0_34,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssItem(X4)
      | hd(cons(X4,X3)) = X4 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])])])]) ).

cnf(c_0_35,negated_conjecture,
    ( nil = esk2_0
    | ~ neq(nil,esk2_0)
    | ~ neq(nil,esk2_0)
    | hd(esk2_0) != X1
    | cons(X1,nil) != X2
    | ~ ssItem(X1)
    | app(X3,X2) != X4
    | tl(esk2_0) != X3
    | ~ ssList(X2)
    | ~ ssList(X3)
    | esk1_0 != X4
    | ~ ssList(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_36,negated_conjecture,
    ( esk2_0 != nil
    | ~ ssItem(esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]) ).

cnf(c_0_37,negated_conjecture,
    ssItem(esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_25])]) ).

cnf(c_0_38,negated_conjecture,
    ( app(esk6_0,cons(esk5_0,nil)) = esk3_0
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_39,plain,
    ! [X4,X5,X6] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | ~ ssList(X6)
      | app(X5,X6) != app(X5,X4)
      | X6 = X4 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])])])]) ).

cnf(c_0_40,plain,
    ( hd(cons(X1,X2)) = X1
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_41,negated_conjecture,
    ( esk2_0 = nil
    | esk1_0 != X4
    | hd(esk2_0) != X1
    | tl(esk2_0) != X3
    | app(X3,X2) != X4
    | cons(X1,nil) != X2
    | ~ ssItem(X1)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ neq(nil,esk2_0) ),
    inference(cn,[status(thm)],[c_0_35]) ).

cnf(c_0_42,negated_conjecture,
    esk2_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).

cnf(c_0_43,negated_conjecture,
    ( app(esk6_0,cons(esk5_0,nil)) = esk1_0
    | ~ neq(esk2_0,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_14]),c_0_15]) ).

cnf(c_0_44,plain,
    ( X1 = X2
    | app(X3,X1) != app(X3,X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_45,plain,
    ( hd(app(cons(X1,nil),X2)) = X1
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(pm,[status(thm)],[c_0_40,c_0_23]) ).

fof(c_0_46,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | nil = X2
      | cons(hd(X2),tl(X2)) = X2 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).

fof(c_0_47,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | nil = X2
      | ssItem(hd(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).

fof(c_0_48,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | nil = X2
      | ssList(tl(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).

cnf(c_0_49,negated_conjecture,
    ( app(X1,cons(X2,nil)) != X3
    | hd(esk2_0) != X2
    | tl(esk2_0) != X1
    | esk1_0 != X3
    | ~ ssList(cons(X2,nil))
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ neq(nil,esk2_0)
    | ~ ssItem(X2) ),
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_41]),c_0_42]) ).

cnf(c_0_50,negated_conjecture,
    app(esk6_0,cons(esk5_0,nil)) = esk1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_25])]) ).

cnf(c_0_51,negated_conjecture,
    ( X1 = esk6_0
    | app(cons(esk5_0,nil),X1) != esk2_0
    | ~ ssList(cons(esk5_0,nil))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_28]),c_0_32])]) ).

cnf(c_0_52,negated_conjecture,
    esk5_0 = hd(esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_28]),c_0_32]),c_0_37])]) ).

cnf(c_0_53,plain,
    ( cons(hd(X1),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_54,plain,
    ( ssItem(hd(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_55,plain,
    ( ssList(tl(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_56,negated_conjecture,
    ( esk5_0 != hd(esk2_0)
    | esk6_0 != tl(esk2_0)
    | esk1_0 != X1
    | ~ ssList(cons(esk5_0,nil))
    | ~ ssList(X1)
    | ~ neq(nil,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_32]),c_0_37])]) ).

cnf(c_0_57,negated_conjecture,
    ( X1 = esk6_0
    | app(cons(hd(esk2_0),nil),X1) != esk2_0
    | ~ ssList(cons(hd(esk2_0),nil))
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52]),c_0_52]) ).

cnf(c_0_58,plain,
    ( app(cons(hd(X1),nil),tl(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_53]),c_0_54]),c_0_55]) ).

cnf(c_0_59,negated_conjecture,
    ssList(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_60,negated_conjecture,
    ( esk6_0 != tl(esk2_0)
    | esk1_0 != X1
    | ~ ssList(cons(hd(esk2_0),nil))
    | ~ ssList(X1)
    | ~ neq(nil,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_52]),c_0_52])]) ).

cnf(c_0_61,negated_conjecture,
    ( esk6_0 = tl(esk2_0)
    | ~ ssList(cons(hd(esk2_0),nil))
    | ~ ssList(tl(esk2_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]),c_0_42]) ).

cnf(c_0_62,negated_conjecture,
    ( esk1_0 != X1
    | ~ ssList(cons(hd(esk2_0),nil))
    | ~ ssList(tl(esk2_0))
    | ~ ssList(X1)
    | ~ neq(nil,esk2_0) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_63,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ ssList(cons(hd(esk2_0),nil))
    | ~ ssList(tl(esk2_0))
    | ~ neq(nil,esk2_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

fof(c_0_65,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssItem(X4)
      | ssList(cons(X4,X3)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])])]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ ssList(cons(hd(esk2_0),nil))
    | ~ neq(nil,esk2_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_55]),c_0_59])]),c_0_42]) ).

cnf(c_0_67,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_68,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_69,negated_conjecture,
    ssItem(hd(esk2_0)),
    inference(rw,[status(thm)],[c_0_37,c_0_52]) ).

fof(c_0_70,plain,
    ! [X3,X4] :
      ( ( ~ neq(X3,X4)
        | X3 != X4
        | ~ ssList(X4)
        | ~ ssList(X3) )
      & ( X3 = X4
        | neq(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])])])]) ).

cnf(c_0_71,negated_conjecture,
    ~ neq(nil,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]),c_0_69])]) ).

cnf(c_0_72,plain,
    ( neq(X1,X2)
    | X1 = X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_73,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_59]),c_0_68])]),c_0_42]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC310+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 12 23:22:36 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.37/23.41  eprover: CPU time limit exceeded, terminating
% 0.37/23.41  eprover: CPU time limit exceeded, terminating
% 0.37/23.42  eprover: CPU time limit exceeded, terminating
% 0.37/23.42  eprover: CPU time limit exceeded, terminating
% 0.37/23.56  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.37/23.56  
% 0.37/23.56  # Failure: Resource limit exceeded (time)
% 0.37/23.56  # OLD status Res
% 0.37/23.56  # Preprocessing time       : 0.025 s
% 0.37/23.56  # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.37/23.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.37/23.56  # Preprocessing time       : 0.022 s
% 0.37/23.56  
% 0.37/23.56  # Proof found!
% 0.37/23.56  # SZS status Theorem
% 0.37/23.56  # SZS output start CNFRefutation
% See solution above
% 0.37/23.56  # Proof object total steps             : 74
% 0.37/23.56  # Proof object clause steps            : 52
% 0.37/23.56  # Proof object formula steps           : 22
% 0.37/23.56  # Proof object conjectures             : 42
% 0.37/23.56  # Proof object clause conjectures      : 39
% 0.37/23.56  # Proof object formula conjectures     : 3
% 0.37/23.56  # Proof object initial clauses used    : 22
% 0.37/23.56  # Proof object initial formulas used   : 11
% 0.37/23.56  # Proof object generating inferences   : 15
% 0.37/23.56  # Proof object simplifying inferences  : 52
% 0.37/23.56  # Training examples: 0 positive, 0 negative
% 0.37/23.56  # Parsed axioms                        : 96
% 0.37/23.56  # Removed by relevancy pruning/SinE    : 67
% 0.37/23.56  # Initial clauses                      : 54
% 0.37/23.56  # Removed in clause preprocessing      : 0
% 0.37/23.56  # Initial clauses in saturation        : 54
% 0.37/23.56  # Processed clauses                    : 380
% 0.37/23.56  # ...of these trivial                  : 10
% 0.37/23.56  # ...subsumed                          : 199
% 0.37/23.56  # ...remaining for further processing  : 171
% 0.37/23.56  # Other redundant clauses eliminated   : 11
% 0.37/23.56  # Clauses deleted for lack of memory   : 0
% 0.37/23.56  # Backward-subsumed                    : 16
% 0.37/23.56  # Backward-rewritten                   : 33
% 0.37/23.56  # Generated clauses                    : 932
% 0.37/23.56  # ...of the previous two non-trivial   : 830
% 0.37/23.56  # Contextual simplify-reflections      : 103
% 0.37/23.56  # Paramodulations                      : 887
% 0.37/23.56  # Factorizations                       : 0
% 0.37/23.56  # Equation resolutions                 : 31
% 0.37/23.56  # Current number of processed clauses  : 119
% 0.37/23.56  #    Positive orientable unit clauses  : 14
% 0.37/23.56  #    Positive unorientable unit clauses: 0
% 0.37/23.56  #    Negative unit clauses             : 8
% 0.37/23.56  #    Non-unit-clauses                  : 97
% 0.37/23.56  # Current number of unprocessed clauses: 284
% 0.37/23.56  # ...number of literals in the above   : 1607
% 0.37/23.56  # Current number of archived formulas  : 0
% 0.37/23.56  # Current number of archived clauses   : 49
% 0.37/23.56  # Clause-clause subsumption calls (NU) : 4959
% 0.37/23.56  # Rec. Clause-clause subsumption calls : 1600
% 0.37/23.56  # Non-unit clause-clause subsumptions  : 192
% 0.37/23.56  # Unit Clause-clause subsumption calls : 148
% 0.37/23.56  # Rewrite failures with RHS unbound    : 0
% 0.37/23.56  # BW rewrite match attempts            : 5
% 0.37/23.56  # BW rewrite match successes           : 5
% 0.37/23.56  # Condensation attempts                : 0
% 0.37/23.56  # Condensation successes               : 0
% 0.37/23.56  # Termbank termtop insertions          : 18502
% 0.37/23.56  
% 0.37/23.56  # -------------------------------------------------
% 0.37/23.56  # User time                : 0.079 s
% 0.37/23.56  # System time              : 0.005 s
% 0.37/23.56  # Total time               : 0.084 s
% 0.37/23.56  # Maximum resident set size: 3720 pages
% 0.37/46.42  eprover: CPU time limit exceeded, terminating
% 0.37/46.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/46.44  eprover: No such file or directory
% 0.37/46.44  eprover: CPU time limit exceeded, terminating
% 0.37/46.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/46.44  eprover: No such file or directory
% 0.37/46.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/46.45  eprover: No such file or directory
% 0.37/46.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/46.45  eprover: No such file or directory
% 0.37/46.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/46.45  eprover: No such file or directory
% 0.37/46.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/46.45  eprover: No such file or directory
% 0.37/46.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/46.46  eprover: No such file or directory
% 0.37/46.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/46.46  eprover: No such file or directory
% 0.37/46.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/46.46  eprover: No such file or directory
% 0.37/46.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/46.46  eprover: No such file or directory
% 0.37/46.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/46.46  eprover: No such file or directory
% 0.37/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/46.47  eprover: No such file or directory
% 0.37/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/46.47  eprover: No such file or directory
% 0.37/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/46.47  eprover: No such file or directory
% 0.37/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/46.47  eprover: No such file or directory
% 0.37/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/46.48  eprover: No such file or directory
% 0.37/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/46.48  eprover: No such file or directory
% 0.37/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/46.48  eprover: No such file or directory
% 0.37/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/46.49  eprover: No such file or directory
% 0.37/46.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.37/46.50  eprover: No such file or directory
%------------------------------------------------------------------------------