TSTP Solution File: MSC007^1.003.004 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : MSC007^1.003.004 : TPTP v8.2.0. Released v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 00:45:14 EDT 2024

% Result   : Theorem 0.76s 0.66s
% Output   : CNFRefutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   79 (  27 unt;  11 typ;   0 def)
%            Number of atoms       :  173 ( 172 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  312 (  43   ~; 112   |;   4   &; 152   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   31 (   0   ^  27   !;   4   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    hole: $tType ).

thf(decl_sort2,type,
    pigeon: $tType ).

thf(decl_22,type,
    hole1: hole ).

thf(decl_23,type,
    hole2: hole ).

thf(decl_24,type,
    hole3: hole ).

thf(decl_25,type,
    pigeon1: pigeon ).

thf(decl_26,type,
    pigeon2: pigeon ).

thf(decl_27,type,
    pigeon3: pigeon ).

thf(decl_28,type,
    pigeon4: pigeon ).

thf(decl_29,type,
    pigeon_hole: pigeon > hole ).

thf(decl_30,type,
    esk1_1: hole > pigeon ).

thf(sharing_a_hole,conjecture,
    ? [X3: pigeon,X4: pigeon] :
      ( ( ( pigeon_hole @ X3 )
        = ( pigeon_hole @ X4 ) )
      & ( X3 != X4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sharing_a_hole) ).

thf(holecover,axiom,
    ! [X1: hole > $o] :
      ( ( ( X1 @ hole1 )
        & ( X1 @ hole2 )
        & ( X1 @ hole3 ) )
     => ! [X2: hole] : ( X1 @ X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',holecover) ).

thf(pigeon1pigeon2,axiom,
    pigeon1 != pigeon2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon1pigeon2) ).

thf(pigeon2pigeon4,axiom,
    pigeon2 != pigeon4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon2pigeon4) ).

thf(pigeon2pigeon3,axiom,
    pigeon2 != pigeon3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon2pigeon3) ).

thf(pigeon1pigeon4,axiom,
    pigeon1 != pigeon4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon1pigeon4) ).

thf(pigeon1pigeon3,axiom,
    pigeon1 != pigeon3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon1pigeon3) ).

thf(pigeon3pigeon4,axiom,
    pigeon3 != pigeon4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigeon3pigeon4) ).

thf(c_0_8,negated_conjecture,
    ~ ? [X3: pigeon,X4: pigeon] :
        ( ( ( pigeon_hole @ X3 )
          = ( pigeon_hole @ X4 ) )
        & ( X3 != X4 ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[sharing_a_hole])]) ).

thf(c_0_9,negated_conjecture,
    ! [X11: pigeon,X12: pigeon] :
      ( ( ( pigeon_hole @ X11 )
       != ( pigeon_hole @ X12 ) )
      | ( X11 = X12 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).

thf(c_0_10,plain,
    ! [X9: hole > $o,X10: hole] :
      ( ~ ( X9 @ hole1 )
      | ~ ( X9 @ hole2 )
      | ~ ( X9 @ hole3 )
      | ( X9 @ X10 ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[holecover])])])]) ).

thf(c_0_11,negated_conjecture,
    ! [X3: pigeon,X4: pigeon] :
      ( ( X3 = X4 )
      | ( ( pigeon_hole @ X3 )
       != ( pigeon_hole @ X4 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_12,plain,
    ! [X2: hole,X1: hole > $o] :
      ( ( X1 @ X2 )
      | ~ ( X1 @ hole1 )
      | ~ ( X1 @ hole2 )
      | ~ ( X1 @ hole3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_13,negated_conjecture,
    ! [X3: pigeon] :
      ( ( esk1_1 @ ( pigeon_hole @ X3 ) )
      = X3 ),
    inference(recognize_injectivity,[status(thm)],[c_0_11]) ).

thf(c_0_14,plain,
    ! [X2: hole] :
      ( ( hole3 = X2 )
      | ( hole2 = X2 )
      | ( hole1 = X2 ) ),
    inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_12]) ).

thf(c_0_15,negated_conjecture,
    ! [X3: pigeon] :
      ( ( hole1
        = ( pigeon_hole @ X3 ) )
      | ( hole2
        = ( pigeon_hole @ X3 ) )
      | ( ( esk1_1 @ hole3 )
        = X3 ) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

thf(c_0_16,plain,
    pigeon1 != pigeon2,
    inference(fof_simplification,[status(thm)],[pigeon1pigeon2]) ).

thf(c_0_17,plain,
    pigeon2 != pigeon4,
    inference(fof_simplification,[status(thm)],[pigeon2pigeon4]) ).

thf(c_0_18,negated_conjecture,
    ! [X3: pigeon] :
      ( ( ( esk1_1 @ hole3 )
        = X3 )
      | ( hole1
        = ( pigeon_hole @ X3 ) )
      | ( ( esk1_1 @ hole2 )
        = X3 ) ),
    inference(spm,[status(thm)],[c_0_13,c_0_15]) ).

thf(c_0_19,plain,
    pigeon2 != pigeon3,
    inference(fof_simplification,[status(thm)],[pigeon2pigeon3]) ).

thf(c_0_20,plain,
    pigeon1 != pigeon4,
    inference(fof_simplification,[status(thm)],[pigeon1pigeon4]) ).

thf(c_0_21,plain,
    pigeon1 != pigeon2,
    inference(fof_nnf,[status(thm)],[c_0_16]) ).

thf(c_0_22,plain,
    pigeon2 != pigeon4,
    inference(fof_nnf,[status(thm)],[c_0_17]) ).

thf(c_0_23,negated_conjecture,
    ! [X3: pigeon] :
      ( ( ( esk1_1 @ hole2 )
        = X3 )
      | ( ( esk1_1 @ hole3 )
        = X3 )
      | ( ( esk1_1 @ hole1 )
        = X3 ) ),
    inference(spm,[status(thm)],[c_0_13,c_0_18]) ).

thf(c_0_24,plain,
    pigeon1 != pigeon3,
    inference(fof_simplification,[status(thm)],[pigeon1pigeon3]) ).

thf(c_0_25,plain,
    pigeon2 != pigeon3,
    inference(fof_nnf,[status(thm)],[c_0_19]) ).

thf(c_0_26,plain,
    pigeon3 != pigeon4,
    inference(fof_simplification,[status(thm)],[pigeon3pigeon4]) ).

thf(c_0_27,plain,
    pigeon1 != pigeon4,
    inference(fof_nnf,[status(thm)],[c_0_20]) ).

thf(c_0_28,plain,
    pigeon1 != pigeon2,
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

thf(c_0_29,negated_conjecture,
    ! [X3: pigeon,X2: hole] :
      ( ( ( esk1_1 @ hole2 )
        = X3 )
      | ( hole1
        = ( pigeon_hole @ X3 ) )
      | ( ( esk1_1 @ X2 )
        = X3 )
      | ( hole1 = X2 )
      | ( hole2 = X2 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_14]) ).

thf(c_0_30,plain,
    pigeon2 != pigeon4,
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

thf(c_0_31,negated_conjecture,
    ! [X3: pigeon,X2: hole] :
      ( ( ( esk1_1 @ hole1 )
        = X3 )
      | ( ( esk1_1 @ hole2 )
        = X3 )
      | ( ( esk1_1 @ X2 )
        = X3 )
      | ( hole1 = X2 )
      | ( hole2 = X2 ) ),
    inference(spm,[status(thm)],[c_0_23,c_0_14]) ).

thf(c_0_32,plain,
    pigeon1 != pigeon3,
    inference(fof_nnf,[status(thm)],[c_0_24]) ).

thf(c_0_33,plain,
    pigeon2 != pigeon3,
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

thf(c_0_34,plain,
    pigeon3 != pigeon4,
    inference(fof_nnf,[status(thm)],[c_0_26]) ).

thf(c_0_35,plain,
    pigeon1 != pigeon4,
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

thf(c_0_36,negated_conjecture,
    ! [X2: hole] :
      ( ( hole1
        = ( pigeon_hole @ pigeon1 ) )
      | ( ( esk1_1 @ hole2 )
        = pigeon1 )
      | ( hole2 = X2 )
      | ( hole1 = X2 )
      | ( ( esk1_1 @ X2 )
       != pigeon2 ) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

thf(c_0_37,negated_conjecture,
    ! [X2: hole] :
      ( ( ( esk1_1 @ hole2 )
        = pigeon4 )
      | ( ( esk1_1 @ hole1 )
        = pigeon4 )
      | ( hole2 = X2 )
      | ( hole1 = X2 )
      | ( ( esk1_1 @ X2 )
       != pigeon2 ) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

thf(c_0_38,plain,
    pigeon1 != pigeon3,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_39,negated_conjecture,
    ! [X2: hole] :
      ( ( ( esk1_1 @ hole2 )
        = pigeon3 )
      | ( ( esk1_1 @ hole1 )
        = pigeon3 )
      | ( hole2 = X2 )
      | ( hole1 = X2 )
      | ( ( esk1_1 @ X2 )
       != pigeon2 ) ),
    inference(spm,[status(thm)],[c_0_33,c_0_31]) ).

thf(c_0_40,plain,
    pigeon3 != pigeon4,
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

thf(c_0_41,negated_conjecture,
    ! [X2: hole] :
      ( ( hole1
        = ( pigeon_hole @ pigeon3 ) )
      | ( ( esk1_1 @ hole2 )
        = pigeon3 )
      | ( hole2 = X2 )
      | ( hole1 = X2 )
      | ( ( esk1_1 @ X2 )
       != pigeon2 ) ),
    inference(spm,[status(thm)],[c_0_33,c_0_29]) ).

thf(c_0_42,negated_conjecture,
    ! [X2: hole] :
      ( ( ( esk1_1 @ hole2 )
        = pigeon4 )
      | ( ( esk1_1 @ hole1 )
        = pigeon4 )
      | ( hole2 = X2 )
      | ( hole1 = X2 )
      | ( ( esk1_1 @ X2 )
       != pigeon1 ) ),
    inference(spm,[status(thm)],[c_0_35,c_0_31]) ).

thf(c_0_43,negated_conjecture,
    ( ( hole1
      = ( pigeon_hole @ pigeon2 ) )
    | ( hole2
      = ( pigeon_hole @ pigeon2 ) )
    | ( ( esk1_1 @ hole2 )
      = pigeon1 )
    | ( hole1
      = ( pigeon_hole @ pigeon1 ) ) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_13])]) ).

thf(c_0_44,negated_conjecture,
    ( ( hole1
      = ( pigeon_hole @ pigeon2 ) )
    | ( hole2
      = ( pigeon_hole @ pigeon2 ) )
    | ( ( esk1_1 @ hole1 )
      = pigeon4 )
    | ( ( esk1_1 @ hole2 )
      = pigeon4 ) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_13])]) ).

thf(c_0_45,negated_conjecture,
    ! [X2: hole] :
      ( ( ( esk1_1 @ hole2 )
        = pigeon3 )
      | ( ( esk1_1 @ hole1 )
        = pigeon3 )
      | ( hole2 = X2 )
      | ( hole1 = X2 )
      | ( ( esk1_1 @ X2 )
       != pigeon1 ) ),
    inference(spm,[status(thm)],[c_0_38,c_0_31]) ).

thf(c_0_46,negated_conjecture,
    ( ( hole1
      = ( pigeon_hole @ pigeon2 ) )
    | ( hole2
      = ( pigeon_hole @ pigeon2 ) )
    | ( ( esk1_1 @ hole1 )
      = pigeon3 )
    | ( ( esk1_1 @ hole2 )
      = pigeon3 ) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_13])]) ).

thf(c_0_47,negated_conjecture,
    ! [X2: hole] :
      ( ( hole1
        = ( pigeon_hole @ pigeon3 ) )
      | ( ( esk1_1 @ hole2 )
        = pigeon3 )
      | ( hole2 = X2 )
      | ( hole1 = X2 )
      | ( ( esk1_1 @ X2 )
       != pigeon1 ) ),
    inference(spm,[status(thm)],[c_0_38,c_0_29]) ).

thf(c_0_48,negated_conjecture,
    ! [X2: hole] :
      ( ( ( esk1_1 @ hole2 )
        = pigeon4 )
      | ( ( esk1_1 @ hole1 )
        = pigeon4 )
      | ( hole2 = X2 )
      | ( hole1 = X2 )
      | ( ( esk1_1 @ X2 )
       != pigeon3 ) ),
    inference(spm,[status(thm)],[c_0_40,c_0_31]) ).

thf(c_0_49,negated_conjecture,
    ( ( hole1
      = ( pigeon_hole @ pigeon2 ) )
    | ( hole2
      = ( pigeon_hole @ pigeon2 ) )
    | ( ( esk1_1 @ hole2 )
      = pigeon3 )
    | ( hole1
      = ( pigeon_hole @ pigeon3 ) ) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_13])]) ).

thf(c_0_50,negated_conjecture,
    ( ( hole1
      = ( pigeon_hole @ pigeon1 ) )
    | ( hole2
      = ( pigeon_hole @ pigeon1 ) )
    | ( ( esk1_1 @ hole1 )
      = pigeon4 )
    | ( ( esk1_1 @ hole2 )
      = pigeon4 ) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_13])]) ).

thf(c_0_51,negated_conjecture,
    ( ( ( esk1_1 @ hole1 )
      = pigeon4 )
    | ( hole1
      = ( pigeon_hole @ pigeon1 ) )
    | ( hole2
      = ( pigeon_hole @ pigeon2 ) )
    | ( hole1
      = ( pigeon_hole @ pigeon2 ) ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_35]) ).

thf(c_0_52,negated_conjecture,
    ( ( hole1
      = ( pigeon_hole @ pigeon1 ) )
    | ( hole2
      = ( pigeon_hole @ pigeon1 ) )
    | ( ( esk1_1 @ hole1 )
      = pigeon3 )
    | ( ( esk1_1 @ hole2 )
      = pigeon3 ) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_13])]) ).

thf(c_0_53,negated_conjecture,
    ( ( ( esk1_1 @ hole1 )
      = pigeon3 )
    | ( hole1
      = ( pigeon_hole @ pigeon1 ) )
    | ( hole2
      = ( pigeon_hole @ pigeon2 ) )
    | ( hole1
      = ( pigeon_hole @ pigeon2 ) ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_46]),c_0_38]) ).

thf(c_0_54,negated_conjecture,
    ( ( hole1
      = ( pigeon_hole @ pigeon1 ) )
    | ( hole2
      = ( pigeon_hole @ pigeon1 ) )
    | ( ( esk1_1 @ hole2 )
      = pigeon3 )
    | ( hole1
      = ( pigeon_hole @ pigeon3 ) ) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_13])]) ).

thf(c_0_55,negated_conjecture,
    ( ( hole1
      = ( pigeon_hole @ pigeon3 ) )
    | ( hole2
      = ( pigeon_hole @ pigeon3 ) )
    | ( ( esk1_1 @ hole1 )
      = pigeon4 )
    | ( ( esk1_1 @ hole2 )
      = pigeon4 ) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_13])]) ).

thf(c_0_56,negated_conjecture,
    ( ( ( esk1_1 @ hole1 )
      = pigeon4 )
    | ( hole1
      = ( pigeon_hole @ pigeon3 ) )
    | ( hole2
      = ( pigeon_hole @ pigeon2 ) )
    | ( hole1
      = ( pigeon_hole @ pigeon2 ) ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_44]),c_0_40]) ).

thf(c_0_57,negated_conjecture,
    ( ( ( pigeon_hole @ pigeon1 )
      = ( pigeon_hole @ pigeon2 ) )
    | ( hole1
      = ( pigeon_hole @ pigeon2 ) )
    | ( ( esk1_1 @ hole1 )
      = pigeon4 )
    | ( hole1
      = ( pigeon_hole @ pigeon1 ) ) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_13]),c_0_30]) ).

thf(c_0_58,negated_conjecture,
    ( ( ( pigeon_hole @ pigeon1 )
      = ( pigeon_hole @ pigeon2 ) )
    | ( hole1
      = ( pigeon_hole @ pigeon2 ) )
    | ( ( esk1_1 @ hole1 )
      = pigeon3 )
    | ( hole1
      = ( pigeon_hole @ pigeon1 ) ) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_13]),c_0_33]) ).

thf(c_0_59,negated_conjecture,
    ( ( ( esk1_1 @ hole1 )
      = pigeon4 )
    | ( hole1
      = ( pigeon_hole @ pigeon3 ) )
    | ( hole2
      = ( pigeon_hole @ pigeon1 ) )
    | ( hole1
      = ( pigeon_hole @ pigeon1 ) ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_50]),c_0_40]) ).

thf(c_0_60,negated_conjecture,
    ( ( ( pigeon_hole @ pigeon3 )
      = ( pigeon_hole @ pigeon2 ) )
    | ( hole1
      = ( pigeon_hole @ pigeon2 ) )
    | ( ( esk1_1 @ hole1 )
      = pigeon4 )
    | ( hole1
      = ( pigeon_hole @ pigeon3 ) ) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_13]),c_0_30]) ).

thf(c_0_61,negated_conjecture,
    ( ( ( pigeon_hole @ pigeon1 )
      = ( pigeon_hole @ pigeon2 ) )
    | ( hole1
      = ( pigeon_hole @ pigeon1 ) )
    | ( hole1
      = ( pigeon_hole @ pigeon2 ) ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_40]) ).

thf(c_0_62,negated_conjecture,
    ( ( ( pigeon_hole @ pigeon3 )
      = ( pigeon_hole @ pigeon1 ) )
    | ( hole1
      = ( pigeon_hole @ pigeon1 ) )
    | ( ( esk1_1 @ hole1 )
      = pigeon4 )
    | ( hole1
      = ( pigeon_hole @ pigeon3 ) ) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_59]),c_0_13]),c_0_35]) ).

thf(c_0_63,negated_conjecture,
    ( ( ( pigeon_hole @ pigeon3 )
      = ( pigeon_hole @ pigeon1 ) )
    | ( ( pigeon_hole @ pigeon1 )
      = ( pigeon_hole @ pigeon2 ) )
    | ( ( pigeon_hole @ pigeon3 )
      = ( pigeon_hole @ pigeon2 ) )
    | ( hole1
      = ( pigeon_hole @ pigeon2 ) ) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_13]),c_0_35]) ).

thf(c_0_64,negated_conjecture,
    ( ( ( pigeon_hole @ pigeon3 )
      = ( pigeon_hole @ pigeon2 ) )
    | ( ( pigeon_hole @ pigeon1 )
      = ( pigeon_hole @ pigeon2 ) )
    | ( ( pigeon_hole @ pigeon3 )
      = ( pigeon_hole @ pigeon1 ) ) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_13]),c_0_30]) ).

thf(c_0_65,negated_conjecture,
    ( ( ( pigeon_hole @ pigeon1 )
      = ( pigeon_hole @ pigeon2 ) )
    | ( ( pigeon_hole @ pigeon3 )
      = ( pigeon_hole @ pigeon2 ) ) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_64]),c_0_13]),c_0_38]) ).

thf(c_0_66,negated_conjecture,
    ( ( pigeon_hole @ pigeon1 )
    = ( pigeon_hole @ pigeon2 ) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_65]),c_0_13]),c_0_33]) ).

thf(c_0_67,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_66]),c_0_13]),c_0_28]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : MSC007^1.003.004 : TPTP v8.2.0. Released v5.4.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n024.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   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 22:59:52 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running higher-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.66  # Version: 3.1.0-ho
% 0.76/0.66  # Preprocessing class: HSSSSMSSSSSNSFA.
% 0.76/0.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.76/0.66  # Starting new_ho_14 with 1500s (5) cores
% 0.76/0.66  # Starting full_lambda_8 with 300s (1) cores
% 0.76/0.66  # Starting new_ho_13 with 300s (1) cores
% 0.76/0.66  # Starting ho_unfolding_3 with 300s (1) cores
% 0.76/0.66  # new_ho_14 with pid 4453 completed with status 8
% 0.76/0.66  # ho_unfolding_3 with pid 4456 completed with status 0
% 0.76/0.66  # Result found by ho_unfolding_3
% 0.76/0.66  # Preprocessing class: HSSSSMSSSSSNSFA.
% 0.76/0.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.76/0.66  # Starting new_ho_14 with 1500s (5) cores
% 0.76/0.66  # Starting full_lambda_8 with 300s (1) cores
% 0.76/0.66  # Starting new_ho_13 with 300s (1) cores
% 0.76/0.66  # Starting ho_unfolding_3 with 300s (1) cores
% 0.76/0.66  # No SInE strategy applied
% 0.76/0.66  # Search class: HHUSF-FFSF11-SSFFFSBN
% 0.76/0.66  # partial match(1): HGUSF-FFSF11-SSFFFSBN
% 0.76/0.66  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.76/0.66  # Starting new_ho_14 with 163s (1) cores
% 0.76/0.66  # new_ho_14 with pid 4463 completed with status 9
% 0.76/0.66  # Starting ho_unfolding_3 with 31s (1) cores
% 0.76/0.66  # ho_unfolding_3 with pid 4473 completed with status 0
% 0.76/0.66  # Result found by ho_unfolding_3
% 0.76/0.66  # Preprocessing class: HSSSSMSSSSSNSFA.
% 0.76/0.66  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.76/0.66  # Starting new_ho_14 with 1500s (5) cores
% 0.76/0.66  # Starting full_lambda_8 with 300s (1) cores
% 0.76/0.66  # Starting new_ho_13 with 300s (1) cores
% 0.76/0.66  # Starting ho_unfolding_3 with 300s (1) cores
% 0.76/0.66  # No SInE strategy applied
% 0.76/0.66  # Search class: HHUSF-FFSF11-SSFFFSBN
% 0.76/0.66  # partial match(1): HGUSF-FFSF11-SSFFFSBN
% 0.76/0.66  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.76/0.66  # Starting new_ho_14 with 163s (1) cores
% 0.76/0.66  # new_ho_14 with pid 4463 completed with status 9
% 0.76/0.66  # Starting ho_unfolding_3 with 31s (1) cores
% 0.76/0.66  # Preprocessing time       : 0.001 s
% 0.76/0.66  # Presaturation interreduction done
% 0.76/0.66  
% 0.76/0.66  # Proof found!
% 0.76/0.66  # SZS status Theorem
% 0.76/0.66  # SZS output start CNFRefutation
% See solution above
% 0.76/0.66  # Parsed axioms                        : 18
% 0.76/0.66  # Removed by relevancy pruning/SinE    : 0
% 0.76/0.66  # Initial clauses                      : 18
% 0.76/0.66  # Removed in clause preprocessing      : 10
% 0.76/0.66  # Initial clauses in saturation        : 8
% 0.76/0.66  # Processed clauses                    : 305
% 0.76/0.66  # ...of these trivial                  : 0
% 0.76/0.66  # ...subsumed                          : 126
% 0.76/0.66  # ...remaining for further processing  : 179
% 0.76/0.66  # Other redundant clauses eliminated   : 732
% 0.76/0.66  # Clauses deleted for lack of memory   : 0
% 0.76/0.66  # Backward-subsumed                    : 19
% 0.76/0.66  # Backward-rewritten                   : 46
% 0.76/0.66  # Generated clauses                    : 6843
% 0.76/0.66  # ...of the previous two non-redundant : 5145
% 0.76/0.66  # ...aggressively subsumed             : 0
% 0.76/0.66  # Contextual simplify-reflections      : 10
% 0.76/0.66  # Paramodulations                      : 5778
% 0.76/0.66  # Factorizations                       : 322
% 0.76/0.66  # NegExts                              : 0
% 0.76/0.66  # Equation resolutions                 : 738
% 0.76/0.66  # Disequality decompositions           : 0
% 0.76/0.66  # Total rewrite steps                  : 2003
% 0.76/0.66  # ...of those cached                   : 1990
% 0.76/0.66  # Propositional unsat checks           : 0
% 0.76/0.66  #    Propositional check models        : 0
% 0.76/0.66  #    Propositional check unsatisfiable : 0
% 0.76/0.66  #    Propositional clauses             : 0
% 0.76/0.66  #    Propositional clauses after purity: 0
% 0.76/0.66  #    Propositional unsat core size     : 0
% 0.76/0.66  #    Propositional preprocessing time  : 0.000
% 0.76/0.66  #    Propositional encoding time       : 0.000
% 0.76/0.66  #    Propositional solver time         : 0.000
% 0.76/0.66  #    Success case prop preproc time    : 0.000
% 0.76/0.66  #    Success case prop encoding time   : 0.000
% 0.76/0.66  #    Success case prop solver time     : 0.000
% 0.76/0.66  # Current number of processed clauses  : 106
% 0.76/0.66  #    Positive orientable unit clauses  : 2
% 0.76/0.66  #    Positive unorientable unit clauses: 0
% 0.76/0.66  #    Negative unit clauses             : 6
% 0.76/0.66  #    Non-unit-clauses                  : 98
% 0.76/0.66  # Current number of unprocessed clauses: 4811
% 0.76/0.66  # ...number of literals in the above   : 36849
% 0.76/0.66  # Current number of archived formulas  : 0
% 0.76/0.66  # Current number of archived clauses   : 73
% 0.76/0.66  # Clause-clause subsumption calls (NU) : 13364
% 0.76/0.66  # Rec. Clause-clause subsumption calls : 464
% 0.76/0.66  # Non-unit clause-clause subsumptions  : 159
% 0.76/0.66  # Unit Clause-clause subsumption calls : 99
% 0.76/0.66  # Rewrite failures with RHS unbound    : 0
% 0.76/0.66  # BW rewrite match attempts            : 1
% 0.76/0.66  # BW rewrite match successes           : 1
% 0.76/0.66  # Condensation attempts                : 305
% 0.76/0.66  # Condensation successes               : 4
% 0.76/0.66  # Termbank termtop insertions          : 83710
% 0.76/0.66  # Search garbage collected termcells   : 105
% 0.76/0.66  
% 0.76/0.66  # -------------------------------------------------
% 0.76/0.66  # User time                : 0.166 s
% 0.76/0.66  # System time              : 0.006 s
% 0.76/0.66  # Total time               : 0.172 s
% 0.76/0.66  # Maximum resident set size: 1756 pages
% 0.76/0.66  
% 0.76/0.66  # -------------------------------------------------
% 0.76/0.66  # User time                : 0.179 s
% 0.76/0.66  # System time              : 0.020 s
% 0.76/0.66  # Total time               : 0.199 s
% 0.76/0.66  # Maximum resident set size: 1724 pages
% 0.76/0.66  % E---3.1 exiting
% 0.76/0.66  % E exiting
%------------------------------------------------------------------------------