TSTP Solution File: SWC397+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWC397+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n014.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 20:28:29 EDT 2022

% Result   : Theorem 0.25s 6.44s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   71 (  14 unt;   0 def)
%            Number of atoms       :  298 (  88 equ)
%            Maximal formula atoms :   19 (   4 avg)
%            Number of connectives :  380 ( 153   ~; 159   |;  30   &)
%                                         (   5 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :   91 (   0 sgn  54   !;   2   ?)

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

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(ax36,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( memberP(app(X2,X3),X1)
              <=> ( memberP(X2,X1)
                  | memberP(X3,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax36) ).

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

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

fof(ax37,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( memberP(cons(X2,X3),X1)
              <=> ( X1 = X2
                  | memberP(X3,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax37) ).

fof(ax83,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil = app(X1,X2)
          <=> ( nil = X2
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).

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

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

fof(ax3,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( memberP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & ? [X4] :
                    ( ssList(X4)
                    & app(X3,cons(X2,X4)) = X1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).

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

fof(c_0_12,negated_conjecture,
    ( ssList(esk1_0)
    & ssList(esk2_0)
    & ssList(esk3_0)
    & ssList(esk4_0)
    & esk2_0 = esk4_0
    & esk1_0 = esk3_0
    & ssItem(esk5_0)
    & memberP(esk1_0,esk5_0)
    & ~ memberP(esk2_0,esk5_0)
    & ( nil = esk3_0
      | nil != esk4_0 )
    & ( ssItem(esk6_0)
      | ~ neq(esk4_0,nil) )
    & ( ssList(esk7_0)
      | ~ neq(esk4_0,nil) )
    & ( app(cons(esk6_0,nil),esk7_0) = esk3_0
      | ~ neq(esk4_0,nil) )
    & ( app(esk7_0,cons(esk6_0,nil)) = esk4_0
      | ~ neq(esk4_0,nil) ) ),
    inference(distribute,[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,
    ( app(esk7_0,cons(esk6_0,nil)) = esk4_0
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_14,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_15,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_16,negated_conjecture,
    ( ssList(esk7_0)
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    ( app(cons(esk6_0,nil),esk7_0) = esk3_0
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,negated_conjecture,
    ( ssItem(esk6_0)
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_20,plain,
    ! [X4,X5,X6] :
      ( ( ~ memberP(app(X5,X6),X4)
        | memberP(X5,X4)
        | memberP(X6,X4)
        | ~ ssList(X6)
        | ~ ssList(X5)
        | ~ ssItem(X4) )
      & ( ~ memberP(X5,X4)
        | memberP(app(X5,X6),X4)
        | ~ ssList(X6)
        | ~ ssList(X5)
        | ~ ssItem(X4) )
      & ( ~ memberP(X6,X4)
        | memberP(app(X5,X6),X4)
        | ~ ssList(X6)
        | ~ ssList(X5)
        | ~ ssItem(X4) ) ),
    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)],[ax36])])])])])]) ).

cnf(c_0_21,negated_conjecture,
    ( app(esk7_0,cons(esk6_0,nil)) = esk2_0
    | ~ neq(esk2_0,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_14]) ).

cnf(c_0_22,plain,
    ( neq(X1,X2)
    | X1 = X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_24,negated_conjecture,
    ssList(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_25,negated_conjecture,
    ( ssList(esk7_0)
    | ~ neq(esk2_0,nil) ),
    inference(rw,[status(thm)],[c_0_16,c_0_14]) ).

fof(c_0_26,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_27,negated_conjecture,
    ( app(cons(esk6_0,nil),esk7_0) = esk1_0
    | ~ neq(esk2_0,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_14]) ).

cnf(c_0_28,negated_conjecture,
    ( ssItem(esk6_0)
    | ~ neq(esk2_0,nil) ),
    inference(rw,[status(thm)],[c_0_19,c_0_14]) ).

cnf(c_0_29,plain,
    ( memberP(app(X2,X3),X1)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ memberP(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_30,negated_conjecture,
    ( app(esk7_0,cons(esk6_0,nil)) = esk2_0
    | nil = esk2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]) ).

cnf(c_0_31,negated_conjecture,
    ( nil = esk2_0
    | ssList(esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_22]),c_0_23]),c_0_24])]) ).

fof(c_0_32,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])])])])]) ).

fof(c_0_33,plain,
    ! [X4,X5,X6] :
      ( ( ~ memberP(cons(X5,X6),X4)
        | X4 = X5
        | memberP(X6,X4)
        | ~ ssList(X6)
        | ~ ssItem(X5)
        | ~ ssItem(X4) )
      & ( X4 != X5
        | memberP(cons(X5,X6),X4)
        | ~ ssList(X6)
        | ~ ssItem(X5)
        | ~ ssItem(X4) )
      & ( ~ memberP(X6,X4)
        | memberP(cons(X5,X6),X4)
        | ~ ssList(X6)
        | ~ ssItem(X5)
        | ~ ssItem(X4) ) ),
    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)],[ax37])])])])])]) ).

cnf(c_0_34,plain,
    ( cons(X1,X2) = app(cons(X1,nil),X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_35,negated_conjecture,
    ( app(cons(esk6_0,nil),esk7_0) = esk1_0
    | nil = esk2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_22]),c_0_23]),c_0_24])]) ).

cnf(c_0_36,negated_conjecture,
    ( nil = esk2_0
    | ssItem(esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_22]),c_0_23]),c_0_24])]) ).

fof(c_0_37,plain,
    ! [X3,X4] :
      ( ( nil = X4
        | nil != app(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) )
      & ( nil = X3
        | nil != app(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) )
      & ( nil != X4
        | nil != X3
        | nil = app(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)],[ax83])])])])])]) ).

fof(c_0_38,plain,
    ! [X2] :
      ( ~ ssItem(X2)
      | ~ memberP(nil,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax38])])]) ).

cnf(c_0_39,negated_conjecture,
    ( nil = esk2_0
    | memberP(esk2_0,X1)
    | ~ memberP(esk7_0,X1)
    | ~ ssList(cons(esk6_0,nil))
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_40,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_41,plain,
    ( memberP(X3,X1)
    | X1 = X2
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssList(X3)
    | ~ memberP(cons(X2,X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_42,negated_conjecture,
    ( cons(esk6_0,esk7_0) = esk1_0
    | nil = esk2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_31]) ).

cnf(c_0_43,plain,
    ( memberP(app(X2,X3),X1)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ memberP(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_44,plain,
    ( nil = app(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | nil != X1
    | nil != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_45,plain,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_46,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])])])])]) ).

cnf(c_0_47,negated_conjecture,
    ( nil = esk2_0
    | memberP(esk2_0,X1)
    | ~ memberP(esk7_0,X1)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_23])]),c_0_36]) ).

cnf(c_0_48,negated_conjecture,
    ( nil = esk2_0
    | X1 = esk6_0
    | memberP(esk7_0,X1)
    | ~ memberP(esk1_0,X1)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_36]),c_0_31]) ).

fof(c_0_49,plain,
    ! [X5,X6,X9,X10] :
      ( ( ssList(esk12_2(X5,X6))
        | ~ memberP(X5,X6)
        | ~ ssItem(X6)
        | ~ ssList(X5) )
      & ( ssList(esk13_2(X5,X6))
        | ~ memberP(X5,X6)
        | ~ ssItem(X6)
        | ~ ssList(X5) )
      & ( app(esk12_2(X5,X6),cons(X6,esk13_2(X5,X6))) = X5
        | ~ memberP(X5,X6)
        | ~ ssItem(X6)
        | ~ ssList(X5) )
      & ( ~ ssList(X9)
        | ~ ssList(X10)
        | app(X9,cons(X6,X10)) != X5
        | memberP(X5,X6)
        | ~ ssItem(X6)
        | ~ ssList(X5) ) ),
    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)],[ax3])])])])])])]) ).

cnf(c_0_50,plain,
    ( nil != X1
    | nil != X2
    | ~ memberP(X1,X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).

cnf(c_0_51,negated_conjecture,
    memberP(esk1_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_52,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_53,negated_conjecture,
    ssItem(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_54,plain,
    ( nil != cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_55,negated_conjecture,
    ( nil = esk3_0
    | nil != esk4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_56,negated_conjecture,
    ~ memberP(esk2_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_57,negated_conjecture,
    ( nil = esk2_0
    | X1 = esk6_0
    | memberP(esk2_0,X1)
    | ~ memberP(esk1_0,X1)
    | ~ ssItem(X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_58,plain,
    ( memberP(X1,X2)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | app(X3,cons(X2,X4)) != X1
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_59,negated_conjecture,
    ( nil != esk1_0
    | nil != X1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_53])]) ).

cnf(c_0_60,negated_conjecture,
    ( nil = esk2_0
    | nil != esk1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_42]),c_0_36]),c_0_31]) ).

cnf(c_0_61,negated_conjecture,
    ( nil = esk1_0
    | nil != esk2_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_18]),c_0_14]) ).

cnf(c_0_62,negated_conjecture,
    ( esk6_0 = esk5_0
    | nil = esk2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_51]),c_0_53])]) ).

cnf(c_0_63,plain,
    ( memberP(app(X1,cons(X2,X3)),X2)
    | ~ ssList(app(X1,cons(X2,X3)))
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(er,[status(thm)],[c_0_58]) ).

cnf(c_0_64,negated_conjecture,
    nil != esk1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_24]),c_0_60]) ).

cnf(c_0_65,negated_conjecture,
    ( esk6_0 = esk5_0
    | esk2_0 = esk1_0 ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_66,negated_conjecture,
    ( nil = esk2_0
    | memberP(esk2_0,esk6_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_30]),c_0_24]),c_0_23])]),c_0_36]),c_0_31]) ).

cnf(c_0_67,negated_conjecture,
    esk6_0 = esk5_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_62]),c_0_65]) ).

cnf(c_0_68,negated_conjecture,
    nil = esk2_0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67]),c_0_56]) ).

cnf(c_0_69,negated_conjecture,
    esk2_0 != esk1_0,
    inference(rw,[status(thm)],[c_0_64,c_0_68]) ).

cnf(c_0_70,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_68]),c_0_68])]),c_0_69]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC397+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 12 07:40:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.25/6.44  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/6.44  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/6.44  # Preprocessing time       : 0.019 s
% 0.25/6.44  
% 0.25/6.44  # Proof found!
% 0.25/6.44  # SZS status Theorem
% 0.25/6.44  # SZS output start CNFRefutation
% See solution above
% 0.25/6.44  # Proof object total steps             : 71
% 0.25/6.44  # Proof object clause steps            : 49
% 0.25/6.44  # Proof object formula steps           : 22
% 0.25/6.44  # Proof object conjectures             : 39
% 0.25/6.44  # Proof object clause conjectures      : 36
% 0.25/6.44  # Proof object formula conjectures     : 3
% 0.25/6.44  # Proof object initial clauses used    : 23
% 0.25/6.44  # Proof object initial formulas used   : 11
% 0.25/6.44  # Proof object generating inferences   : 18
% 0.25/6.44  # Proof object simplifying inferences  : 51
% 0.25/6.44  # Training examples: 0 positive, 0 negative
% 0.25/6.44  # Parsed axioms                        : 96
% 0.25/6.44  # Removed by relevancy pruning/SinE    : 73
% 0.25/6.44  # Initial clauses                      : 52
% 0.25/6.44  # Removed in clause preprocessing      : 0
% 0.25/6.44  # Initial clauses in saturation        : 52
% 0.25/6.44  # Processed clauses                    : 8582
% 0.25/6.44  # ...of these trivial                  : 149
% 0.25/6.44  # ...subsumed                          : 7125
% 0.25/6.44  # ...remaining for further processing  : 1307
% 0.25/6.44  # Other redundant clauses eliminated   : 139
% 0.25/6.44  # Clauses deleted for lack of memory   : 68464
% 0.25/6.44  # Backward-subsumed                    : 147
% 0.25/6.44  # Backward-rewritten                   : 1050
% 0.25/6.44  # Generated clauses                    : 173260
% 0.25/6.44  # ...of the previous two non-trivial   : 165484
% 0.25/6.44  # Contextual simplify-reflections      : 8683
% 0.25/6.44  # Paramodulations                      : 173010
% 0.25/6.44  # Factorizations                       : 0
% 0.25/6.44  # Equation resolutions                 : 250
% 0.25/6.44  # Current number of processed clauses  : 107
% 0.25/6.44  #    Positive orientable unit clauses  : 10
% 0.25/6.44  #    Positive unorientable unit clauses: 0
% 0.25/6.44  #    Negative unit clauses             : 5
% 0.25/6.44  #    Non-unit-clauses                  : 92
% 0.25/6.44  # Current number of unprocessed clauses: 982
% 0.25/6.44  # ...number of literals in the above   : 5027
% 0.25/6.44  # Current number of archived formulas  : 0
% 0.25/6.44  # Current number of archived clauses   : 1197
% 0.25/6.44  # Clause-clause subsumption calls (NU) : 739283
% 0.25/6.44  # Rec. Clause-clause subsumption calls : 358548
% 0.25/6.44  # Non-unit clause-clause subsumptions  : 13115
% 0.25/6.44  # Unit Clause-clause subsumption calls : 1265
% 0.25/6.44  # Rewrite failures with RHS unbound    : 0
% 0.25/6.44  # BW rewrite match attempts            : 3
% 0.25/6.44  # BW rewrite match successes           : 3
% 0.25/6.44  # Condensation attempts                : 0
% 0.25/6.44  # Condensation successes               : 0
% 0.25/6.44  # Termbank termtop insertions          : 3533107
% 0.25/6.44  
% 0.25/6.44  # -------------------------------------------------
% 0.25/6.44  # User time                : 5.564 s
% 0.25/6.44  # System time              : 0.081 s
% 0.25/6.44  # Total time               : 5.645 s
% 0.25/6.44  # Maximum resident set size: 128496 pages
% 0.25/23.41  eprover: CPU time limit exceeded, terminating
% 0.25/23.41  eprover: CPU time limit exceeded, terminating
% 0.25/23.41  eprover: CPU time limit exceeded, terminating
% 0.25/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.42  eprover: No such file or directory
% 0.25/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.42  eprover: No such file or directory
% 0.25/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.43  eprover: No such file or directory
% 0.25/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.43  eprover: No such file or directory
% 0.25/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43  eprover: No such file or directory
% 0.25/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.43  eprover: No such file or directory
% 0.25/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.43  eprover: No such file or directory
% 0.25/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43  eprover: No such file or directory
% 0.25/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.43  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------