TSTP Solution File: SWC314+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC314+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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  : 300s
% DateTime : Tue May 21 04:25:34 EDT 2024

% Result   : Theorem 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   71 (  11 unt;   0 def)
%            Number of atoms       :  294 ( 127 equ)
%            Maximal formula atoms :   36 (   4 avg)
%            Number of connectives :  357 ( 134   ~; 142   |;  42   &)
%                                         (   2 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   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   :   98 (   0 sgn  60   !;   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] :
                        ( ssList(X5)
                        & X3 != X5
                        & ? [X6] :
                            ( ssList(X6)
                            & ? [X7] :
                                ( ssList(X7)
                                & tl(X4) = X6
                                & app(X6,X7) = X5
                                & ? [X8] :
                                    ( ssItem(X8)
                                    & cons(X8,nil) = X7
                                    & hd(X4) = X8
                                    & neq(nil,X4) )
                                & neq(nil,X4) ) ) )
                    & neq(X4,nil) )
                  | ( ! [X9] :
                        ( ssItem(X9)
                       => ! [X10] :
                            ( ~ ssList(X10)
                            | app(cons(X9,nil),X10) != X2
                            | app(X10,cons(X9,nil)) = X1 ) )
                    & ( nil != X2
                      | nil = X1 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

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

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

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

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

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(ax23,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => hd(cons(X2,X1)) = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).

fof(ax25,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => tl(cons(X2,X1)) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).

fof(ax21,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => nil != cons(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax21) ).

fof(ax27,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssItem(X3)
             => cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax27) ).

fof(c_0_12,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ~ ssList(X4)
                    | X2 != X4
                    | X1 != X3
                    | ( nil != X3
                      & nil = X4 )
                    | ( ? [X5] :
                          ( ssList(X5)
                          & X3 != X5
                          & ? [X6] :
                              ( ssList(X6)
                              & ? [X7] :
                                  ( ssList(X7)
                                  & tl(X4) = X6
                                  & app(X6,X7) = X5
                                  & ? [X8] :
                                      ( ssItem(X8)
                                      & cons(X8,nil) = X7
                                      & hd(X4) = X8
                                      & neq(nil,X4) )
                                  & neq(nil,X4) ) ) )
                      & neq(X4,nil) )
                    | ( ! [X9] :
                          ( ssItem(X9)
                         => ! [X10] :
                              ( ~ ssList(X10)
                              | app(cons(X9,nil),X10) != X2
                              | app(X10,cons(X9,nil)) = X1 ) )
                      & ( nil != X2
                        | nil = X1 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_13,negated_conjecture,
    ! [X15,X16,X17,X18] :
      ( 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 )
      & ( ~ ssList(X15)
        | esk3_0 = X15
        | ~ ssList(X16)
        | ~ ssList(X17)
        | tl(esk4_0) != X16
        | app(X16,X17) != X15
        | ~ ssItem(X18)
        | cons(X18,nil) != X17
        | hd(esk4_0) != X18
        | ~ neq(nil,esk4_0)
        | ~ neq(nil,esk4_0)
        | ~ neq(esk4_0,nil) )
      & ( nil = esk2_0
        | ssItem(esk5_0) )
      & ( nil != esk1_0
        | ssItem(esk5_0) )
      & ( nil = esk2_0
        | ssList(esk6_0) )
      & ( nil != esk1_0
        | ssList(esk6_0) )
      & ( nil = esk2_0
        | app(cons(esk5_0,nil),esk6_0) = esk2_0 )
      & ( nil != esk1_0
        | app(cons(esk5_0,nil),esk6_0) = esk2_0 )
      & ( nil = esk2_0
        | app(esk6_0,cons(esk5_0,nil)) != esk1_0 )
      & ( nil != esk1_0
        | app(esk6_0,cons(esk5_0,nil)) != esk1_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_12])])])])])]) ).

cnf(c_0_14,negated_conjecture,
    ( esk3_0 = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | tl(esk4_0) != X2
    | app(X2,X3) != X1
    | ~ ssItem(X4)
    | cons(X4,nil) != X3
    | hd(esk4_0) != X4
    | ~ neq(nil,esk4_0)
    | ~ neq(nil,esk4_0)
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_15,plain,
    ! [X26,X27] :
      ( ~ ssList(X26)
      | ~ ssList(X27)
      | ssList(app(X26,X27)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])]) ).

fof(c_0_16,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    inference(fof_simplification,[status(thm)],[ax15]) ).

cnf(c_0_17,negated_conjecture,
    ( esk3_0 = X1
    | hd(esk4_0) != X4
    | tl(esk4_0) != X2
    | app(X2,X3) != X1
    | cons(X4,nil) != X3
    | ~ ssItem(X4)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(nil,esk4_0)
    | ~ neq(esk4_0,nil) ),
    inference(cn,[status(thm)],[c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_21,plain,
    ! [X58,X59] :
      ( ( ~ neq(X58,X59)
        | X58 != X59
        | ~ ssList(X59)
        | ~ ssList(X58) )
      & ( X58 = X59
        | neq(X58,X59)
        | ~ ssList(X59)
        | ~ ssList(X58) ) ),
    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_16])])])])]) ).

cnf(c_0_22,negated_conjecture,
    ( app(tl(esk2_0),cons(hd(esk2_0),nil)) = esk1_0
    | ~ ssList(cons(hd(esk2_0),nil))
    | ~ ssList(tl(esk2_0))
    | ~ neq(nil,esk2_0)
    | ~ neq(esk2_0,nil)
    | ~ ssItem(hd(esk2_0)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_19]),c_0_19]),c_0_19])])])])]),c_0_20]) ).

cnf(c_0_23,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_24,negated_conjecture,
    ssList(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_25,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

fof(c_0_26,plain,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssItem(hd(X1)) ) ),
    inference(fof_simplification,[status(thm)],[ax22]) ).

cnf(c_0_27,negated_conjecture,
    ( app(tl(esk2_0),cons(hd(esk2_0),nil)) = esk1_0
    | esk2_0 = nil
    | ~ ssList(cons(hd(esk2_0),nil))
    | ~ ssList(tl(esk2_0))
    | ~ neq(esk2_0,nil)
    | ~ ssItem(hd(esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]) ).

fof(c_0_28,plain,
    ! [X60] :
      ( ~ ssList(X60)
      | nil = X60
      | ssItem(hd(X60)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).

fof(c_0_29,plain,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssList(tl(X1)) ) ),
    inference(fof_simplification,[status(thm)],[ax24]) ).

cnf(c_0_30,negated_conjecture,
    ( app(tl(esk2_0),cons(hd(esk2_0),nil)) = esk1_0
    | esk2_0 = nil
    | ~ ssList(cons(hd(esk2_0),nil))
    | ~ ssList(tl(esk2_0))
    | ~ ssItem(hd(esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_23]),c_0_25]),c_0_24])]) ).

cnf(c_0_31,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_32,plain,
    ! [X70] :
      ( ~ ssList(X70)
      | nil = X70
      | ssList(tl(X70)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).

cnf(c_0_33,negated_conjecture,
    ( app(tl(esk2_0),cons(hd(esk2_0),nil)) = esk1_0
    | esk2_0 = nil
    | ~ ssList(cons(hd(esk2_0),nil))
    | ~ ssList(tl(esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_24])]) ).

cnf(c_0_34,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_35,plain,
    ! [X46,X47] :
      ( ~ ssList(X46)
      | ~ ssItem(X47)
      | ssList(cons(X47,X46)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])]) ).

fof(c_0_36,plain,
    ! [X38,X39] :
      ( ~ ssList(X38)
      | ~ ssItem(X39)
      | cons(X39,X38) = app(cons(X39,nil),X38) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])]) ).

cnf(c_0_37,negated_conjecture,
    ( app(tl(esk2_0),cons(hd(esk2_0),nil)) = esk1_0
    | esk2_0 = nil
    | ~ ssList(cons(hd(esk2_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_24])]) ).

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

fof(c_0_39,plain,
    ! [X61,X62] :
      ( ~ ssList(X61)
      | ~ ssItem(X62)
      | hd(cons(X62,X61)) = X62 ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])])]) ).

cnf(c_0_40,negated_conjecture,
    ( nil = esk2_0
    | app(cons(esk5_0,nil),esk6_0) = esk2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_41,plain,
    ( cons(X2,X1) = app(cons(X2,nil),X1)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_42,negated_conjecture,
    ( nil = esk2_0
    | ssItem(esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_43,negated_conjecture,
    ( nil = esk2_0
    | ssList(esk6_0) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_44,negated_conjecture,
    ( app(tl(esk2_0),cons(hd(esk2_0),nil)) = esk1_0
    | esk2_0 = nil
    | ~ ssItem(hd(esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_25])]) ).

cnf(c_0_45,plain,
    ( hd(cons(X2,X1)) = X2
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_46,negated_conjecture,
    ( cons(esk5_0,esk6_0) = esk2_0
    | esk2_0 = nil ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43]) ).

fof(c_0_47,plain,
    ! [X71,X72] :
      ( ~ ssList(X71)
      | ~ ssItem(X72)
      | tl(cons(X72,X71)) = X71 ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])])]) ).

cnf(c_0_48,negated_conjecture,
    ( app(tl(esk2_0),cons(hd(esk2_0),nil)) = esk1_0
    | esk2_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_31]),c_0_24])]) ).

cnf(c_0_49,negated_conjecture,
    ( hd(esk2_0) = esk5_0
    | esk2_0 = nil ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_42]),c_0_43]) ).

cnf(c_0_50,plain,
    ( tl(cons(X2,X1)) = X1
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

fof(c_0_51,plain,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => nil != cons(X2,X1) ) ),
    inference(fof_simplification,[status(thm)],[ax21]) ).

cnf(c_0_52,negated_conjecture,
    ( nil = esk3_0
    | nil != esk4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_53,negated_conjecture,
    ( app(tl(esk2_0),cons(esk5_0,nil)) = esk1_0
    | esk2_0 = nil ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_54,negated_conjecture,
    ( tl(esk2_0) = esk6_0
    | esk2_0 = nil ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_46]),c_0_42]),c_0_43]) ).

cnf(c_0_55,negated_conjecture,
    ( nil = esk2_0
    | app(esk6_0,cons(esk5_0,nil)) != esk1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_56,plain,
    ! [X24,X25] :
      ( ~ ssList(X24)
      | ~ ssItem(X25)
      | nil != cons(X25,X24) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])]) ).

fof(c_0_57,plain,
    ! [X28,X29,X30] :
      ( ~ ssList(X28)
      | ~ ssList(X29)
      | ~ ssItem(X30)
      | cons(X30,app(X29,X28)) = app(cons(X30,X29),X28) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])])]) ).

cnf(c_0_58,negated_conjecture,
    ( esk1_0 = nil
    | esk2_0 != nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_18]),c_0_19]) ).

cnf(c_0_59,negated_conjecture,
    esk2_0 = nil,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).

cnf(c_0_60,plain,
    ( ~ ssList(X1)
    | ~ ssItem(X2)
    | nil != cons(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_61,plain,
    ( cons(X3,app(X2,X1)) = app(cons(X3,X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_62,negated_conjecture,
    ( app(cons(esk5_0,nil),esk6_0) = esk2_0
    | nil != esk1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_63,negated_conjecture,
    esk1_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59])]) ).

cnf(c_0_64,negated_conjecture,
    ( ssList(esk6_0)
    | nil != esk1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_65,negated_conjecture,
    ( ssItem(esk5_0)
    | nil != esk1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_66,plain,
    ( app(cons(X1,X2),X3) != nil
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_20]) ).

cnf(c_0_67,negated_conjecture,
    app(cons(esk5_0,nil),esk6_0) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_59]),c_0_63])]) ).

cnf(c_0_68,negated_conjecture,
    ssList(esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_63])]) ).

cnf(c_0_69,negated_conjecture,
    ssItem(esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_63])]) ).

cnf(c_0_70,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_25]),c_0_68]),c_0_69])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem    : SWC314+1 : TPTP v8.2.0. Released v2.4.0.
% 0.05/0.13  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 03:15:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50  # Version: 3.1.0
% 0.20/0.50  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50  # Starting sh5l with 300s (1) cores
% 0.20/0.50  # new_bool_3 with pid 11141 completed with status 0
% 0.20/0.50  # Result found by new_bool_3
% 0.20/0.50  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.20/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.20/0.50  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with pid 11144 completed with status 0
% 0.20/0.50  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v
% 0.20/0.50  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.20/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.20/0.50  # Preprocessing time       : 0.002 s
% 0.20/0.50  # Presaturation interreduction done
% 0.20/0.50  
% 0.20/0.50  # Proof found!
% 0.20/0.50  # SZS status Theorem
% 0.20/0.50  # SZS output start CNFRefutation
% See solution above
% 0.20/0.50  # Parsed axioms                        : 96
% 0.20/0.50  # Removed by relevancy pruning/SinE    : 67
% 0.20/0.50  # Initial clauses                      : 55
% 0.20/0.50  # Removed in clause preprocessing      : 0
% 0.20/0.50  # Initial clauses in saturation        : 55
% 0.20/0.50  # Processed clauses                    : 171
% 0.20/0.50  # ...of these trivial                  : 2
% 0.20/0.50  # ...subsumed                          : 23
% 0.20/0.50  # ...remaining for further processing  : 146
% 0.20/0.50  # Other redundant clauses eliminated   : 22
% 0.20/0.50  # Clauses deleted for lack of memory   : 0
% 0.20/0.50  # Backward-subsumed                    : 5
% 0.20/0.50  # Backward-rewritten                   : 29
% 0.20/0.50  # Generated clauses                    : 240
% 0.20/0.50  # ...of the previous two non-redundant : 202
% 0.20/0.50  # ...aggressively subsumed             : 0
% 0.20/0.50  # Contextual simplify-reflections      : 26
% 0.20/0.50  # Paramodulations                      : 217
% 0.20/0.50  # Factorizations                       : 0
% 0.20/0.50  # NegExts                              : 0
% 0.20/0.50  # Equation resolutions                 : 27
% 0.20/0.50  # Disequality decompositions           : 0
% 0.20/0.50  # Total rewrite steps                  : 148
% 0.20/0.50  # ...of those cached                   : 139
% 0.20/0.50  # Propositional unsat checks           : 0
% 0.20/0.50  #    Propositional check models        : 0
% 0.20/0.50  #    Propositional check unsatisfiable : 0
% 0.20/0.50  #    Propositional clauses             : 0
% 0.20/0.50  #    Propositional clauses after purity: 0
% 0.20/0.50  #    Propositional unsat core size     : 0
% 0.20/0.50  #    Propositional preprocessing time  : 0.000
% 0.20/0.50  #    Propositional encoding time       : 0.000
% 0.20/0.50  #    Propositional solver time         : 0.000
% 0.20/0.50  #    Success case prop preproc time    : 0.000
% 0.20/0.50  #    Success case prop encoding time   : 0.000
% 0.20/0.50  #    Success case prop solver time     : 0.000
% 0.20/0.50  # Current number of processed clauses  : 55
% 0.20/0.50  #    Positive orientable unit clauses  : 11
% 0.20/0.50  #    Positive unorientable unit clauses: 0
% 0.20/0.50  #    Negative unit clauses             : 2
% 0.20/0.50  #    Non-unit-clauses                  : 42
% 0.20/0.50  # Current number of unprocessed clauses: 123
% 0.20/0.50  # ...number of literals in the above   : 690
% 0.20/0.50  # Current number of archived formulas  : 0
% 0.20/0.50  # Current number of archived clauses   : 87
% 0.20/0.50  # Clause-clause subsumption calls (NU) : 1186
% 0.20/0.50  # Rec. Clause-clause subsumption calls : 330
% 0.20/0.50  # Non-unit clause-clause subsumptions  : 54
% 0.20/0.50  # Unit Clause-clause subsumption calls : 62
% 0.20/0.50  # Rewrite failures with RHS unbound    : 0
% 0.20/0.50  # BW rewrite match attempts            : 2
% 0.20/0.50  # BW rewrite match successes           : 2
% 0.20/0.50  # Condensation attempts                : 0
% 0.20/0.50  # Condensation successes               : 0
% 0.20/0.50  # Termbank termtop insertions          : 9113
% 0.20/0.50  # Search garbage collected termcells   : 1643
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.019 s
% 0.20/0.50  # System time              : 0.000 s
% 0.20/0.50  # Total time               : 0.019 s
% 0.20/0.50  # Maximum resident set size: 2020 pages
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.020 s
% 0.20/0.50  # System time              : 0.004 s
% 0.20/0.50  # Total time               : 0.025 s
% 0.20/0.50  # Maximum resident set size: 1824 pages
% 0.20/0.50  % E---3.1 exiting
% 0.20/0.50  % E exiting
%------------------------------------------------------------------------------