TSTP Solution File: SWC075+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC075+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n001.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:41:21 EDT 2023

% Result   : Theorem 0.19s 0.55s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   77 (  25 unt;   0 def)
%            Number of atoms       :  255 (  94 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  304 ( 126   ~; 121   |;  28   &)
%                                         (   3 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   87 (   0 sgn;  49   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ~ ssList(X4)
                  | X2 != X4
                  | X1 != X3
                  | ? [X5] :
                      ( ssList(X5)
                      & neq(X5,nil)
                      & segmentP(X2,X5)
                      & segmentP(X1,X5) )
                  | ! [X6] :
                      ( ssList(X6)
                     => ! [X7] :
                          ( ~ ssList(X7)
                          | app(X6,X7) != X4
                          | app(X7,X6) != X3 ) )
                  | ( nil = X2
                    & nil = X1 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.niCRm3xQUv/E---3.1_9264.p',co1) ).

fof(ax83,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil = app(X1,X2)
          <=> ( nil = X2
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.niCRm3xQUv/E---3.1_9264.p',ax83) ).

fof(ax15,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.niCRm3xQUv/E---3.1_9264.p',ax15) ).

fof(ax7,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( segmentP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & ? [X4] :
                    ( ssList(X4)
                    & app(app(X3,X2),X4) = X1 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.niCRm3xQUv/E---3.1_9264.p',ax7) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.niCRm3xQUv/E---3.1_9264.p',ax17) ).

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/tmp/tmp.niCRm3xQUv/E---3.1_9264.p',ax82) ).

fof(ax84,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(X1,nil) = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.niCRm3xQUv/E---3.1_9264.p',ax84) ).

fof(ax28,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(nil,X1) = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.niCRm3xQUv/E---3.1_9264.p',ax28) ).

fof(ax26,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ssList(app(X1,X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.niCRm3xQUv/E---3.1_9264.p',ax26) ).

fof(ax80,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( app(X2,X3) = app(X2,X1)
               => X3 = X1 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.niCRm3xQUv/E---3.1_9264.p',ax80) ).

fof(ax55,axiom,
    ! [X1] :
      ( ssList(X1)
     => segmentP(X1,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.niCRm3xQUv/E---3.1_9264.p',ax55) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ~ ssList(X4)
                    | X2 != X4
                    | X1 != X3
                    | ? [X5] :
                        ( ssList(X5)
                        & neq(X5,nil)
                        & segmentP(X2,X5)
                        & segmentP(X1,X5) )
                    | ! [X6] :
                        ( ssList(X6)
                       => ! [X7] :
                            ( ~ ssList(X7)
                            | app(X6,X7) != X4
                            | app(X7,X6) != X3 ) )
                    | ( nil = X2
                      & nil = X1 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_12,negated_conjecture,
    ! [X12] :
      ( ssList(esk1_0)
      & ssList(esk2_0)
      & ssList(esk3_0)
      & ssList(esk4_0)
      & esk2_0 = esk4_0
      & esk1_0 = esk3_0
      & ( ~ ssList(X12)
        | ~ neq(X12,nil)
        | ~ segmentP(esk2_0,X12)
        | ~ segmentP(esk1_0,X12) )
      & ssList(esk5_0)
      & ssList(esk6_0)
      & app(esk5_0,esk6_0) = esk4_0
      & app(esk6_0,esk5_0) = esk3_0
      & ( nil != esk2_0
        | nil != esk1_0 ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).

fof(c_0_13,plain,
    ! [X37,X38] :
      ( ( nil = X38
        | nil != app(X37,X38)
        | ~ ssList(X38)
        | ~ ssList(X37) )
      & ( nil = X37
        | nil != app(X37,X38)
        | ~ ssList(X38)
        | ~ ssList(X37) )
      & ( nil != X38
        | nil != X37
        | nil = app(X37,X38)
        | ~ ssList(X38)
        | ~ ssList(X37) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])]) ).

cnf(c_0_14,negated_conjecture,
    app(esk6_0,esk5_0) = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_16,plain,
    ! [X60,X61] :
      ( ( ~ neq(X60,X61)
        | X60 != X61
        | ~ ssList(X61)
        | ~ ssList(X60) )
      & ( X60 = X61
        | neq(X60,X61)
        | ~ ssList(X61)
        | ~ ssList(X60) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).

fof(c_0_17,plain,
    ! [X40,X41,X44,X45] :
      ( ( ssList(esk9_2(X40,X41))
        | ~ segmentP(X40,X41)
        | ~ ssList(X41)
        | ~ ssList(X40) )
      & ( ssList(esk10_2(X40,X41))
        | ~ segmentP(X40,X41)
        | ~ ssList(X41)
        | ~ ssList(X40) )
      & ( app(app(esk9_2(X40,X41),X41),esk10_2(X40,X41)) = X40
        | ~ segmentP(X40,X41)
        | ~ ssList(X41)
        | ~ ssList(X40) )
      & ( ~ ssList(X44)
        | ~ ssList(X45)
        | app(app(X44,X41),X45) != X40
        | segmentP(X40,X41)
        | ~ ssList(X41)
        | ~ ssList(X40) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])]) ).

cnf(c_0_18,negated_conjecture,
    app(esk5_0,esk6_0) = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_20,plain,
    ( nil = X1
    | nil != app(X2,X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,negated_conjecture,
    app(esk6_0,esk5_0) = esk1_0,
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    ssList(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_23,negated_conjecture,
    ssList(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_24,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

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

cnf(c_0_26,plain,
    ( segmentP(X4,X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(app(X1,X3),X2) != X4
    | ~ ssList(X3)
    | ~ ssList(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_27,negated_conjecture,
    app(esk5_0,esk6_0) = esk2_0,
    inference(rw,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_28,negated_conjecture,
    ( esk5_0 = nil
    | esk1_0 != nil ),
    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_29,plain,
    ( nil = X1
    | nil != app(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_30,plain,
    ( nil = app(X2,X1)
    | nil != X1
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_31,plain,
    ! [X34,X35,X36] :
      ( ~ ssList(X34)
      | ~ ssList(X35)
      | ~ ssList(X36)
      | app(app(X34,X35),X36) = app(X34,app(X35,X36)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).

cnf(c_0_32,plain,
    ( X1 = nil
    | neq(X1,nil)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_33,plain,
    ( segmentP(app(app(X1,X2),X3),X2)
    | ~ ssList(app(app(X1,X2),X3))
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_26]) ).

fof(c_0_34,plain,
    ! [X39] :
      ( ~ ssList(X39)
      | app(X39,nil) = X39 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).

fof(c_0_35,plain,
    ! [X25] :
      ( ~ ssList(X25)
      | app(nil,X25) = X25 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

fof(c_0_36,plain,
    ! [X20,X21] :
      ( ~ ssList(X20)
      | ~ ssList(X21)
      | ssList(app(X20,X21)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).

cnf(c_0_37,negated_conjecture,
    ( esk6_0 = nil
    | esk2_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_27]),c_0_23]),c_0_22])]) ).

cnf(c_0_38,negated_conjecture,
    ( app(nil,esk6_0) = esk2_0
    | esk1_0 != nil ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_39,negated_conjecture,
    ( esk6_0 = nil
    | esk1_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_21]),c_0_23]),c_0_22])]) ).

cnf(c_0_40,plain,
    app(nil,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_30])]),c_0_25])]) ).

cnf(c_0_41,negated_conjecture,
    ( nil != esk2_0
    | nil != esk1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_42,plain,
    ! [X29,X30,X31] :
      ( ~ ssList(X29)
      | ~ ssList(X30)
      | ~ ssList(X31)
      | app(X30,X31) != app(X30,X29)
      | X31 = X29 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).

cnf(c_0_43,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk2_0,X1)
    | ~ segmentP(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_45,negated_conjecture,
    ( esk6_0 = nil
    | neq(esk6_0,nil) ),
    inference(spm,[status(thm)],[c_0_32,c_0_22]) ).

cnf(c_0_46,negated_conjecture,
    ( segmentP(app(esk2_0,X1),esk6_0)
    | ~ ssList(app(esk2_0,X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_27]),c_0_22]),c_0_23])]) ).

cnf(c_0_47,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_48,negated_conjecture,
    ssList(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_49,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_50,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_51,negated_conjecture,
    ( app(nil,esk5_0) = esk1_0
    | esk2_0 != nil ),
    inference(spm,[status(thm)],[c_0_21,c_0_37]) ).

cnf(c_0_52,negated_conjecture,
    ( esk5_0 = nil
    | esk2_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_27]),c_0_22]),c_0_23])]) ).

cnf(c_0_53,negated_conjecture,
    esk1_0 != nil,
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41]) ).

cnf(c_0_54,plain,
    ( X3 = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(X2,X3) != app(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_55,negated_conjecture,
    ( app(esk6_0,app(esk5_0,X1)) = app(esk1_0,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_21]),c_0_23]),c_0_22])]) ).

cnf(c_0_56,negated_conjecture,
    ( esk6_0 = nil
    | ~ segmentP(esk1_0,esk6_0)
    | ~ segmentP(esk2_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_22])]) ).

cnf(c_0_57,negated_conjecture,
    segmentP(esk2_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_25])]) ).

cnf(c_0_58,plain,
    ( segmentP(app(X1,X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_49]),c_0_25])]),c_0_50]) ).

cnf(c_0_59,negated_conjecture,
    esk2_0 != nil,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_40]),c_0_53]) ).

cnf(c_0_60,negated_conjecture,
    ( X1 = esk5_0
    | app(esk6_0,X1) != esk1_0
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_21]),c_0_23]),c_0_22])]) ).

cnf(c_0_61,negated_conjecture,
    app(esk6_0,esk2_0) = app(esk1_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_27]),c_0_22])]) ).

cnf(c_0_62,negated_conjecture,
    ( esk6_0 = nil
    | ~ segmentP(esk1_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57])]) ).

cnf(c_0_63,negated_conjecture,
    segmentP(esk1_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_21]),c_0_22]),c_0_23])]) ).

cnf(c_0_64,negated_conjecture,
    neq(esk2_0,nil),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_48]),c_0_59]) ).

fof(c_0_65,plain,
    ! [X51] :
      ( ~ ssList(X51)
      | segmentP(X51,X51) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])]) ).

cnf(c_0_66,negated_conjecture,
    ( segmentP(app(esk1_0,X1),esk5_0)
    | ~ ssList(app(esk1_0,X1))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_21]),c_0_23]),c_0_22])]) ).

cnf(c_0_67,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_68,negated_conjecture,
    ( esk5_0 = esk2_0
    | app(esk1_0,esk6_0) != esk1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_48])]) ).

cnf(c_0_69,negated_conjecture,
    esk6_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]) ).

cnf(c_0_70,negated_conjecture,
    app(esk1_0,nil) = esk1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_47]),c_0_21]),c_0_25]),c_0_23])]) ).

cnf(c_0_71,negated_conjecture,
    ( ~ segmentP(esk1_0,esk2_0)
    | ~ segmentP(esk2_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_64]),c_0_48])]) ).

cnf(c_0_72,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_73,negated_conjecture,
    segmentP(esk1_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_47]),c_0_67]),c_0_25])]) ).

cnf(c_0_74,negated_conjecture,
    esk5_0 = esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).

cnf(c_0_75,negated_conjecture,
    ~ segmentP(esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_48])]) ).

cnf(c_0_76,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74]),c_0_75]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC075+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Oct  3 02:18:37 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.niCRm3xQUv/E---3.1_9264.p
% 0.19/0.55  # Version: 3.1pre001
% 0.19/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.55  # Starting sh5l with 300s (1) cores
% 0.19/0.55  # new_bool_3 with pid 9343 completed with status 0
% 0.19/0.55  # Result found by new_bool_3
% 0.19/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.55  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.19/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.55  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.19/0.55  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 9347 completed with status 0
% 0.19/0.55  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.55  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.19/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.55  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.19/0.55  # Preprocessing time       : 0.002 s
% 0.19/0.55  # Presaturation interreduction done
% 0.19/0.55  
% 0.19/0.55  # Proof found!
% 0.19/0.55  # SZS status Theorem
% 0.19/0.55  # SZS output start CNFRefutation
% See solution above
% 0.19/0.55  # Parsed axioms                        : 96
% 0.19/0.55  # Removed by relevancy pruning/SinE    : 70
% 0.19/0.55  # Initial clauses                      : 50
% 0.19/0.55  # Removed in clause preprocessing      : 0
% 0.19/0.55  # Initial clauses in saturation        : 50
% 0.19/0.55  # Processed clauses                    : 716
% 0.19/0.55  # ...of these trivial                  : 42
% 0.19/0.55  # ...subsumed                          : 254
% 0.19/0.55  # ...remaining for further processing  : 420
% 0.19/0.55  # Other redundant clauses eliminated   : 18
% 0.19/0.55  # Clauses deleted for lack of memory   : 0
% 0.19/0.55  # Backward-subsumed                    : 47
% 0.19/0.55  # Backward-rewritten                   : 143
% 0.19/0.55  # Generated clauses                    : 2417
% 0.19/0.55  # ...of the previous two non-redundant : 2243
% 0.19/0.55  # ...aggressively subsumed             : 0
% 0.19/0.55  # Contextual simplify-reflections      : 17
% 0.19/0.55  # Paramodulations                      : 2394
% 0.19/0.55  # Factorizations                       : 0
% 0.19/0.55  # NegExts                              : 0
% 0.19/0.55  # Equation resolutions                 : 22
% 0.19/0.55  # Total rewrite steps                  : 2284
% 0.19/0.55  # Propositional unsat checks           : 0
% 0.19/0.55  #    Propositional check models        : 0
% 0.19/0.55  #    Propositional check unsatisfiable : 0
% 0.19/0.55  #    Propositional clauses             : 0
% 0.19/0.55  #    Propositional clauses after purity: 0
% 0.19/0.55  #    Propositional unsat core size     : 0
% 0.19/0.55  #    Propositional preprocessing time  : 0.000
% 0.19/0.55  #    Propositional encoding time       : 0.000
% 0.19/0.55  #    Propositional solver time         : 0.000
% 0.19/0.55  #    Success case prop preproc time    : 0.000
% 0.19/0.55  #    Success case prop encoding time   : 0.000
% 0.19/0.55  #    Success case prop solver time     : 0.000
% 0.19/0.55  # Current number of processed clauses  : 175
% 0.19/0.55  #    Positive orientable unit clauses  : 42
% 0.19/0.55  #    Positive unorientable unit clauses: 0
% 0.19/0.55  #    Negative unit clauses             : 11
% 0.19/0.55  #    Non-unit-clauses                  : 122
% 0.19/0.55  # Current number of unprocessed clauses: 1559
% 0.19/0.55  # ...number of literals in the above   : 6953
% 0.19/0.55  # Current number of archived formulas  : 0
% 0.19/0.55  # Current number of archived clauses   : 240
% 0.19/0.55  # Clause-clause subsumption calls (NU) : 12434
% 0.19/0.55  # Rec. Clause-clause subsumption calls : 7214
% 0.19/0.55  # Non-unit clause-clause subsumptions  : 196
% 0.19/0.55  # Unit Clause-clause subsumption calls : 985
% 0.19/0.55  # Rewrite failures with RHS unbound    : 0
% 0.19/0.55  # BW rewrite match attempts            : 16
% 0.19/0.55  # BW rewrite match successes           : 9
% 0.19/0.55  # Condensation attempts                : 0
% 0.19/0.55  # Condensation successes               : 0
% 0.19/0.55  # Termbank termtop insertions          : 41085
% 0.19/0.55  
% 0.19/0.55  # -------------------------------------------------
% 0.19/0.55  # User time                : 0.063 s
% 0.19/0.55  # System time              : 0.005 s
% 0.19/0.55  # Total time               : 0.068 s
% 0.19/0.55  # Maximum resident set size: 2036 pages
% 0.19/0.55  
% 0.19/0.55  # -------------------------------------------------
% 0.19/0.55  # User time                : 0.067 s
% 0.19/0.55  # System time              : 0.006 s
% 0.19/0.55  # Total time               : 0.073 s
% 0.19/0.55  # Maximum resident set size: 1796 pages
% 0.19/0.55  % E---3.1 exiting
%------------------------------------------------------------------------------