↑ Up

ET---2.0.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWC304+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n010.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 20:27:56 EDT 2022

% Result   : Theorem 0.60s 69.76s
% Output   : CNFRefutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   57 (  24 unt;   0 def)
%            Number of atoms       :  274 (  60 equ)
%            Maximal formula atoms :   33 (   4 avg)
%            Number of connectives :  331 ( 114   ~; 113   |;  56   &)
%                                         (   2 <=>;  46  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   5 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  12 con; 0-2 aty)
%            Number of variables   :  110 (   0 sgn  72   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ( app(app(X5,X3),X6) != X4
                              | ~ totalorderedP(X3)
                              | ? [X7] :
                                  ( ssItem(X7)
                                  & ? [X8] :
                                      ( ssList(X8)
                                      & app(X8,cons(X7,nil)) = X5
                                      & ? [X9] :
                                          ( ssItem(X9)
                                          & ? [X10] :
                                              ( ssList(X10)
                                              & app(cons(X9,nil),X10) = X3
                                              & leq(X7,X9) ) ) ) )
                              | ? [X11] :
                                  ( ssItem(X11)
                                  & ? [X12] :
                                      ( ssList(X12)
                                      & app(cons(X11,nil),X12) = X6
                                      & ? [X13] :
                                          ( ssItem(X13)
                                          & ? [X14] :
                                              ( ssList(X14)
                                              & app(X14,cons(X13,nil)) = X3
                                              & leq(X13,X11) ) ) ) ) ) ) )
                    | ! [X15] :
                        ( ssItem(X15)
                       => ! [X16] :
                            ( ssItem(X16)
                           => ! [X17] :
                                ( ssList(X17)
                               => ! [X18] :
                                    ( ssList(X18)
                                   => ! [X19] :
                                        ( ssList(X19)
                                       => ( app(app(app(app(X17,cons(X15,nil)),X18),cons(X16,nil)),X19) != X1
                                          | ~ lt(X16,X15) ) ) ) ) ) )
                    | ( nil != X4
                      & nil = X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',co1) ).

fof(ax82,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).

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

fof(ax93,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( lt(X1,X2)
          <=> ( X1 != X2
              & leq(X1,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax93) ).

fof(ax11,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( totalorderedP(X1)
      <=> ! [X2] :
            ( ssItem(X2)
           => ! [X3] :
                ( ssItem(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
                             => leq(X2,X3) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax11) ).

fof(ax29,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( ( leq(X1,X2)
              & leq(X2,X1) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax29) ).

fof(ax33,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( lt(X1,X2)
           => ~ lt(X2,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax33) ).

fof(c_0_10,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ! [X5] :
                          ( ssList(X5)
                         => ! [X6] :
                              ( ssList(X6)
                             => ( app(app(X5,X3),X6) != X4
                                | ~ totalorderedP(X3)
                                | ? [X7] :
                                    ( ssItem(X7)
                                    & ? [X8] :
                                        ( ssList(X8)
                                        & app(X8,cons(X7,nil)) = X5
                                        & ? [X9] :
                                            ( ssItem(X9)
                                            & ? [X10] :
                                                ( ssList(X10)
                                                & app(cons(X9,nil),X10) = X3
                                                & leq(X7,X9) ) ) ) )
                                | ? [X11] :
                                    ( ssItem(X11)
                                    & ? [X12] :
                                        ( ssList(X12)
                                        & app(cons(X11,nil),X12) = X6
                                        & ? [X13] :
                                            ( ssItem(X13)
                                            & ? [X14] :
                                                ( ssList(X14)
                                                & app(X14,cons(X13,nil)) = X3
                                                & leq(X13,X11) ) ) ) ) ) ) )
                      | ! [X15] :
                          ( ssItem(X15)
                         => ! [X16] :
                              ( ssItem(X16)
                             => ! [X17] :
                                  ( ssList(X17)
                                 => ! [X18] :
                                      ( ssList(X18)
                                     => ! [X19] :
                                          ( ssList(X19)
                                         => ( app(app(app(app(X17,cons(X15,nil)),X18),cons(X16,nil)),X19) != X1
                                            | ~ lt(X16,X15) ) ) ) ) ) )
                      | ( nil != X4
                        & nil = X3 ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_11,negated_conjecture,
    ! [X26,X27,X28,X29,X30,X31,X32,X33] :
      ( ssList(esk48_0)
      & ssList(esk49_0)
      & ssList(esk50_0)
      & ssList(esk51_0)
      & esk49_0 = esk51_0
      & esk48_0 = esk50_0
      & ssList(esk52_0)
      & ssList(esk53_0)
      & app(app(esk52_0,esk50_0),esk53_0) = esk51_0
      & totalorderedP(esk50_0)
      & ( ~ ssItem(X26)
        | ~ ssList(X27)
        | app(X27,cons(X26,nil)) != esk52_0
        | ~ ssItem(X28)
        | ~ ssList(X29)
        | app(cons(X28,nil),X29) != esk50_0
        | ~ leq(X26,X28) )
      & ( ~ ssItem(X30)
        | ~ ssList(X31)
        | app(cons(X30,nil),X31) != esk53_0
        | ~ ssItem(X32)
        | ~ ssList(X33)
        | app(X33,cons(X32,nil)) != esk50_0
        | ~ leq(X32,X30) )
      & ssItem(esk54_0)
      & ssItem(esk55_0)
      & ssList(esk56_0)
      & ssList(esk57_0)
      & ssList(esk58_0)
      & app(app(app(app(esk56_0,cons(esk54_0,nil)),esk57_0),cons(esk55_0,nil)),esk58_0) = esk48_0
      & lt(esk55_0,esk54_0)
      & ( nil = esk51_0
        | nil != esk50_0 ) ),
    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_10])])])])])])]) ).

cnf(c_0_12,negated_conjecture,
    app(app(app(app(esk56_0,cons(esk54_0,nil)),esk57_0),cons(esk55_0,nil)),esk58_0) = esk48_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_13,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_14,plain,
    ! [X4,X5,X6] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | ~ ssList(X6)
      | app(app(X4,X5),X6) = app(X4,app(X5,X6)) ),
    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)],[ax82])])])])]) ).

cnf(c_0_15,negated_conjecture,
    app(app(app(app(esk56_0,cons(esk54_0,nil)),esk57_0),cons(esk55_0,nil)),esk58_0) = esk50_0,
    inference(rw,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    ssList(esk57_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,negated_conjecture,
    ssList(esk56_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_19,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_20,negated_conjecture,
    ( app(app(app(esk56_0,app(cons(esk54_0,nil),esk57_0)),cons(esk55_0,nil)),esk58_0) = esk50_0
    | ~ ssList(cons(esk54_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18])]) ).

cnf(c_0_21,plain,
    ( ssList(cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_22,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_23,negated_conjecture,
    ssItem(esk54_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_24,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_25,negated_conjecture,
    app(app(app(esk56_0,app(cons(esk54_0,nil),esk57_0)),cons(esk55_0,nil)),esk58_0) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]) ).

cnf(c_0_26,plain,
    ( cons(X1,X2) = app(cons(X1,nil),X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_27,negated_conjecture,
    app(app(app(esk56_0,cons(esk54_0,esk57_0)),cons(esk55_0,nil)),esk58_0) = esk50_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_17]),c_0_23])]) ).

cnf(c_0_28,negated_conjecture,
    ssList(esk58_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_29,negated_conjecture,
    ( app(app(esk56_0,cons(esk54_0,esk57_0)),app(cons(esk55_0,nil),esk58_0)) = esk50_0
    | ~ ssList(app(esk56_0,cons(esk54_0,esk57_0)))
    | ~ ssList(cons(esk55_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_27]),c_0_28])]) ).

cnf(c_0_30,negated_conjecture,
    ssItem(esk55_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_31,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssList(X4)
      | ssList(app(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)],[ax26])])])])]) ).

cnf(c_0_32,negated_conjecture,
    ( app(app(esk56_0,cons(esk54_0,esk57_0)),app(cons(esk55_0,nil),esk58_0)) = esk50_0
    | ~ ssList(app(esk56_0,cons(esk54_0,esk57_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_21]),c_0_22]),c_0_30])]) ).

cnf(c_0_33,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_34,negated_conjecture,
    ( app(app(esk56_0,cons(esk54_0,esk57_0)),app(cons(esk55_0,nil),esk58_0)) = esk50_0
    | ~ ssList(cons(esk54_0,esk57_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_18])]) ).

fof(c_0_35,plain,
    ! [X3,X4] :
      ( ( X3 != X4
        | ~ lt(X3,X4)
        | ~ ssItem(X4)
        | ~ ssItem(X3) )
      & ( leq(X3,X4)
        | ~ lt(X3,X4)
        | ~ ssItem(X4)
        | ~ ssItem(X3) )
      & ( X3 = X4
        | ~ leq(X3,X4)
        | lt(X3,X4)
        | ~ ssItem(X4)
        | ~ ssItem(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)],[ax93])])])])])]) ).

fof(c_0_36,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ( ~ totalorderedP(X7)
        | ~ ssItem(X8)
        | ~ ssItem(X9)
        | ~ ssList(X10)
        | ~ ssList(X11)
        | ~ ssList(X12)
        | app(app(X10,cons(X8,X11)),cons(X9,X12)) != X7
        | leq(X8,X9)
        | ~ ssList(X7) )
      & ( ssItem(esk25_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ssItem(esk26_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk27_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk28_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk29_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( app(app(esk27_1(X7),cons(esk25_1(X7),esk28_1(X7))),cons(esk26_1(X7),esk29_1(X7))) = X7
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ~ leq(esk25_1(X7),esk26_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) ) ),
    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)],[ax11])])])])])])]) ).

cnf(c_0_37,negated_conjecture,
    app(app(esk56_0,cons(esk54_0,esk57_0)),app(cons(esk55_0,nil),esk58_0)) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_21]),c_0_17]),c_0_23])]) ).

fof(c_0_38,plain,
    ! [X3,X4] :
      ( ~ ssItem(X3)
      | ~ ssItem(X4)
      | ~ leq(X3,X4)
      | ~ leq(X4,X3)
      | 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)],[ax29])])])])]) ).

cnf(c_0_39,plain,
    ( leq(X1,X2)
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ lt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_40,negated_conjecture,
    lt(esk55_0,esk54_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_41,plain,
    ( leq(X2,X3)
    | ~ ssList(X1)
    | app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
    | ~ ssList(X6)
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssItem(X3)
    | ~ ssItem(X2)
    | ~ totalorderedP(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_42,negated_conjecture,
    app(app(esk56_0,cons(esk54_0,esk57_0)),cons(esk55_0,esk58_0)) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_26]),c_0_28]),c_0_30])]) ).

cnf(c_0_43,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_44,plain,
    ! [X3,X4] :
      ( ~ ssItem(X3)
      | ~ ssItem(X4)
      | ~ lt(X3,X4)
      | ~ lt(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)],[inference(fof_simplification,[status(thm)],[ax33])])])])])]) ).

cnf(c_0_45,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_46,negated_conjecture,
    leq(esk55_0,esk54_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_23]),c_0_30])]) ).

cnf(c_0_47,negated_conjecture,
    ( leq(esk54_0,esk55_0)
    | esk50_0 != X1
    | ~ totalorderedP(X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_28]),c_0_17]),c_0_18]),c_0_30]),c_0_23])]) ).

cnf(c_0_48,negated_conjecture,
    totalorderedP(esk50_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_49,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_43,c_0_13]) ).

cnf(c_0_50,plain,
    ( ~ lt(X1,X2)
    | ~ lt(X2,X1)
    | ~ ssItem(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_51,negated_conjecture,
    ( esk55_0 = esk54_0
    | ~ leq(esk54_0,esk55_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_30]),c_0_23])]) ).

cnf(c_0_52,negated_conjecture,
    leq(esk54_0,esk55_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_47]),c_0_48]),c_0_49])]) ).

cnf(c_0_53,negated_conjecture,
    ~ lt(esk54_0,esk55_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_40]),c_0_30]),c_0_23])]) ).

cnf(c_0_54,negated_conjecture,
    esk55_0 = esk54_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]) ).

cnf(c_0_55,negated_conjecture,
    ~ lt(esk54_0,esk54_0),
    inference(rw,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_56,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_54]),c_0_55]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC304+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n010.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 12:10:10 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.36/23.41  eprover: CPU time limit exceeded, terminating
% 0.36/23.41  eprover: CPU time limit exceeded, terminating
% 0.36/23.41  eprover: CPU time limit exceeded, terminating
% 0.36/23.42  eprover: CPU time limit exceeded, terminating
% 0.48/46.42  eprover: CPU time limit exceeded, terminating
% 0.48/46.43  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.48/46.43  
% 0.48/46.43  eprover: CPU time limit exceeded, terminating
% 0.60/69.44  eprover: CPU time limit exceeded, terminating
% 0.60/69.44  eprover: CPU time limit exceeded, terminating
% 0.60/69.45  eprover: CPU time limit exceeded, terminating
% 0.60/69.45  eprover: CPU time limit exceeded, terminating
% 0.60/69.76  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.60/69.76  
% 0.60/69.76  # Failure: Resource limit exceeded (time)
% 0.60/69.76  # OLD status Res
% 0.60/69.76  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.60/69.76  # Preprocessing time       : 0.012 s
% 0.60/69.76  # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.60/69.76  
% 0.60/69.76  # Failure: Resource limit exceeded (time)
% 0.60/69.76  # OLD status Res
% 0.60/69.76  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.60/69.76  # Preprocessing time       : 0.011 s
% 0.60/69.76  # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.60/69.76  
% 0.60/69.76  # Failure: Resource limit exceeded (time)
% 0.60/69.76  # OLD status Res
% 0.60/69.76  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.60/69.76  # Preprocessing time       : 0.012 s
% 0.60/69.76  # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.60/69.76  # Preprocessing time       : 0.025 s
% 0.60/69.76  
% 0.60/69.76  # Proof found!
% 0.60/69.76  # SZS status Theorem
% 0.60/69.76  # SZS output start CNFRefutation
% See solution above
% 0.60/69.76  # Proof object total steps             : 57
% 0.60/69.76  # Proof object clause steps            : 37
% 0.60/69.76  # Proof object formula steps           : 20
% 0.60/69.76  # Proof object conjectures             : 31
% 0.60/69.76  # Proof object clause conjectures      : 28
% 0.60/69.76  # Proof object formula conjectures     : 3
% 0.60/69.76  # Proof object initial clauses used    : 19
% 0.60/69.76  # Proof object initial formulas used   : 10
% 0.60/69.76  # Proof object generating inferences   : 13
% 0.60/69.76  # Proof object simplifying inferences  : 47
% 0.60/69.76  # Training examples: 0 positive, 0 negative
% 0.60/69.76  # Parsed axioms                        : 96
% 0.60/69.76  # Removed by relevancy pruning/SinE    : 0
% 0.60/69.76  # Initial clauses                      : 210
% 0.60/69.76  # Removed in clause preprocessing      : 2
% 0.60/69.76  # Initial clauses in saturation        : 208
% 0.60/69.76  # Processed clauses                    : 977
% 0.60/69.76  # ...of these trivial                  : 16
% 0.60/69.76  # ...subsumed                          : 215
% 0.60/69.76  # ...remaining for further processing  : 745
% 0.60/69.76  # Other redundant clauses eliminated   : 69
% 0.60/69.76  # Clauses deleted for lack of memory   : 0
% 0.60/69.76  # Backward-subsumed                    : 299
% 0.60/69.76  # Backward-rewritten                   : 193
% 0.60/69.76  # Generated clauses                    : 2686
% 0.60/69.76  # ...of the previous two non-trivial   : 2497
% 0.60/69.76  # Contextual simplify-reflections      : 0
% 0.60/69.76  # Paramodulations                      : 2592
% 0.60/69.76  # Factorizations                       : 0
% 0.60/69.76  # Equation resolutions                 : 94
% 0.60/69.76  # Current number of processed clauses  : 247
% 0.60/69.76  #    Positive orientable unit clauses  : 38
% 0.60/69.76  #    Positive unorientable unit clauses: 0
% 0.60/69.76  #    Negative unit clauses             : 4
% 0.60/69.76  #    Non-unit-clauses                  : 205
% 0.60/69.76  # Current number of unprocessed clauses: 700
% 0.60/69.76  # ...number of literals in the above   : 4248
% 0.60/69.76  # Current number of archived formulas  : 0
% 0.60/69.76  # Current number of archived clauses   : 492
% 0.60/69.76  # Clause-clause subsumption calls (NU) : 22215
% 0.60/69.76  # Rec. Clause-clause subsumption calls : 18310
% 0.60/69.76  # Non-unit clause-clause subsumptions  : 514
% 0.60/69.76  # Unit Clause-clause subsumption calls : 1170
% 0.60/69.76  # Rewrite failures with RHS unbound    : 0
% 0.60/69.76  # BW rewrite match attempts            : 230
% 0.60/69.76  # BW rewrite match successes           : 40
% 0.60/69.76  # Condensation attempts                : 0
% 0.60/69.76  # Condensation successes               : 0
% 0.60/69.76  # Termbank termtop insertions          : 78076
% 0.60/69.76  
% 0.60/69.76  # -------------------------------------------------
% 0.60/69.76  # User time                : 0.120 s
% 0.60/69.76  # System time              : 0.006 s
% 0.60/69.76  # Total time               : 0.126 s
% 0.60/69.76  # Maximum resident set size: 5944 pages
% 0.60/92.45  eprover: CPU time limit exceeded, terminating
% 0.60/92.46  eprover: CPU time limit exceeded, terminating
% 0.60/92.46  eprover: CPU time limit exceeded, terminating
% 0.60/92.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.47  eprover: No such file or directory
% 0.60/92.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.48  eprover: No such file or directory
% 0.60/92.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.60/92.48  eprover: No such file or directory
% 0.60/92.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.48  eprover: No such file or directory
% 0.60/92.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.60/92.48  eprover: No such file or directory
% 0.60/92.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.48  eprover: No such file or directory
% 0.60/92.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.48  eprover: No such file or directory
% 0.60/92.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.48  eprover: No such file or directory
% 0.60/92.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.49  eprover: No such file or directory
% 0.60/92.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.60/92.49  eprover: No such file or directory
% 0.60/92.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.49  eprover: No such file or directory
% 0.60/92.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.60/92.49  eprover: No such file or directory
% 0.60/92.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.49  eprover: No such file or directory
% 0.60/92.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.60/92.49  eprover: No such file or directory
% 0.60/92.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.49  eprover: No such file or directory
% 0.60/92.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.50  eprover: No such file or directory
% 0.60/92.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.60/92.50  eprover: No such file or directory
% 0.60/92.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.50  eprover: No such file or directory
% 0.60/92.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.50  eprover: No such file or directory
% 0.60/92.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.60/92.50  eprover: No such file or directory
% 0.60/92.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.50  eprover: No such file or directory
% 0.60/92.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.51  eprover: No such file or directory
% 0.60/92.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.60/92.51  eprover: No such file or directory
% 0.60/92.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.60/92.51  eprover: No such file or directory
%------------------------------------------------------------------------------