TSTP Solution File: LCL879^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : LCL879^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.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 : Mon May 20 23:54:34 EDT 2024

% Result   : Theorem 0.17s 0.48s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  106 (  19 unt;  16 typ;   0 def)
%            Number of atoms       :  326 (  13 equ;   0 cnn)
%            Maximal formula atoms :   38 (   3 avg)
%            Number of connectives : 1238 ( 154   ~; 281   |;  15   &; 784   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  118 ( 118   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   7 con; 0-3 aty)
%            Number of variables   :  212 (  31   ^ 181   !;   0   ?; 212   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_24,type,
    mnot: ( $i > $o ) > $i > $o ).

thf(decl_25,type,
    mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_27,type,
    mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_32,type,
    mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).

thf(decl_37,type,
    mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_49,type,
    mvalid: ( $i > $o ) > $o ).

thf(decl_53,type,
    epred1_0: $i > $i > $o ).

thf(decl_54,type,
    epred2_0: $i > $i > $o ).

thf(decl_55,type,
    esk1_0: $i ).

thf(decl_56,type,
    epred3_0: $i > $o ).

thf(decl_57,type,
    esk2_0: $i ).

thf(decl_58,type,
    esk3_0: $i ).

thf(decl_59,type,
    esk4_0: $i ).

thf(decl_60,type,
    esk5_0: $i ).

thf(decl_61,type,
    esk6_0: $i ).

thf(decl_62,type,
    esk7_2: $i > ( $i > $o ) > $i ).

thf(mimplies,axiom,
    ( mimplies
    = ( ^ [X6: $i > $o,X7: $i > $o] : ( mor @ ( mnot @ X6 ) @ X7 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mimplies) ).

thf(mnot,axiom,
    ( mnot
    = ( ^ [X6: $i > $o,X3: $i] :
          ~ ( X6 @ X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mnot) ).

thf(mor,axiom,
    ( mor
    = ( ^ [X6: $i > $o,X7: $i > $o,X3: $i] :
          ( ( X6 @ X3 )
          | ( X7 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mor) ).

thf(mvalid,axiom,
    ( mvalid
    = ( ^ [X6: $i > $o] :
        ! [X3: $i] : ( X6 @ X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mvalid) ).

thf(mbox,axiom,
    ( mbox
    = ( ^ [X13: $i > $i > $o,X6: $i > $o,X3: $i] :
        ! [X14: $i] :
          ( ~ ( X13 @ X3 @ X14 )
          | ( X6 @ X14 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mbox) ).

thf(mforall_prop,axiom,
    ( mforall_prop
    = ( ^ [X9: ( $i > $o ) > $i > $o,X3: $i] :
        ! [X10: $i > $o] : ( X9 @ X10 @ X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mforall_prop) ).

thf(conj,conjecture,
    ! [X18: $i > $i > $o,X19: $i > $i > $o] :
      ( ( mvalid
        @ ( mforall_prop
          @ ^ [X6: $i > $o] : ( mimplies @ ( mbox @ X18 @ X6 ) @ ( mbox @ X19 @ ( mbox @ X18 @ X6 ) ) ) ) )
    <=> ! [X17: $i,X14: $i,X3: $i] :
          ( ( ( X19 @ X17 @ X14 )
            & ( X18 @ X14 @ X3 ) )
         => ( X18 @ X17 @ X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

thf(c_0_7,plain,
    ( mimplies
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ~ ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mimplies]) ).

thf(c_0_8,plain,
    ( mnot
    = ( ^ [Z0: $i > $o,Z1: $i] :
          ~ ( Z0 @ Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[mnot]) ).

thf(c_0_9,plain,
    ( mor
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mor]) ).

thf(c_0_10,plain,
    ( mvalid
    = ( ^ [Z0: $i > $o] :
        ! [X3: $i] : ( Z0 @ X3 ) ) ),
    inference(fof_simplification,[status(thm)],[mvalid]) ).

thf(c_0_11,plain,
    ( mbox
    = ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
        ! [X14: $i] :
          ( ~ ( Z0 @ Z2 @ X14 )
          | ( Z1 @ X14 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mbox]) ).

thf(c_0_12,plain,
    ( mimplies
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ~ ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).

thf(c_0_13,plain,
    ( mforall_prop
    = ( ^ [Z0: ( $i > $o ) > $i > $o,Z1: $i] :
        ! [X10: $i > $o] : ( Z0 @ X10 @ Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[mforall_prop]) ).

thf(c_0_14,negated_conjecture,
    ~ ! [X18: $i > $i > $o,X19: $i > $i > $o] :
        ( ! [X29: $i,X28: $i > $o] :
            ( ~ ! [X25: $i] :
                  ( ~ ( X18 @ X29 @ X25 )
                  | ( X28 @ X25 ) )
            | ! [X27: $i] :
                ( ~ ( X19 @ X29 @ X27 )
                | ! [X26: $i] :
                    ( ~ ( X18 @ X27 @ X26 )
                    | ( X28 @ X26 ) ) ) )
      <=> ! [X17: $i,X14: $i,X3: $i] :
            ( ( ( X19 @ X17 @ X14 )
              & ( X18 @ X14 @ X3 ) )
           => ( X18 @ X17 @ X3 ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_10]),c_0_11]),c_0_12]),c_0_13]) ).

thf(c_0_15,negated_conjecture,
    ! [X34: $i,X40: $i,X41: $i > $o,X43: $i,X44: $i,X45: $i,X46: $i,X47: $i] :
      ( ( ( epred2_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk1_0 @ X34 )
        | ( epred3_0 @ X34 ) )
      & ( ( epred1_0 @ esk5_0 @ esk6_0 )
        | ~ ( epred1_0 @ esk1_0 @ X34 )
        | ( epred3_0 @ X34 ) )
      & ( ~ ( epred1_0 @ esk4_0 @ esk6_0 )
        | ~ ( epred1_0 @ esk1_0 @ X34 )
        | ( epred3_0 @ X34 ) )
      & ( ( epred2_0 @ esk4_0 @ esk5_0 )
        | ( epred2_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk5_0 @ esk6_0 )
        | ( epred2_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk4_0 @ esk6_0 )
        | ( epred2_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred2_0 @ esk4_0 @ esk5_0 )
        | ( epred1_0 @ esk2_0 @ esk3_0 ) )
      & ( ( epred1_0 @ esk5_0 @ esk6_0 )
        | ( epred1_0 @ esk2_0 @ esk3_0 ) )
      & ( ~ ( epred1_0 @ esk4_0 @ esk6_0 )
        | ( epred1_0 @ esk2_0 @ esk3_0 ) )
      & ( ( epred2_0 @ esk4_0 @ esk5_0 )
        | ~ ( epred3_0 @ esk3_0 ) )
      & ( ( epred1_0 @ esk5_0 @ esk6_0 )
        | ~ ( epred3_0 @ esk3_0 ) )
      & ( ~ ( epred1_0 @ esk4_0 @ esk6_0 )
        | ~ ( epred3_0 @ esk3_0 ) )
      & ( ( epred1_0 @ X40 @ ( esk7_2 @ X40 @ X41 ) )
        | ~ ( epred2_0 @ X40 @ X43 )
        | ~ ( epred1_0 @ X43 @ X44 )
        | ( X41 @ X44 )
        | ~ ( epred2_0 @ X45 @ X46 )
        | ~ ( epred1_0 @ X46 @ X47 )
        | ( epred1_0 @ X45 @ X47 ) )
      & ( ~ ( X41 @ ( esk7_2 @ X40 @ X41 ) )
        | ~ ( epred2_0 @ X40 @ X43 )
        | ~ ( epred1_0 @ X43 @ X44 )
        | ( X41 @ X44 )
        | ~ ( epred2_0 @ X45 @ X46 )
        | ~ ( epred1_0 @ X46 @ X47 )
        | ( epred1_0 @ X45 @ X47 ) ) ),
    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_14])])])])])]) ).

thf(c_0_16,negated_conjecture,
    ! [X14: $i,X16: $i,X4: $i > $o,X15: $i,X3: $i,X17: $i,X22: $i] :
      ( ( epred1_0 @ X3 @ ( esk7_2 @ X3 @ X4 ) )
      | ( X4 @ X15 )
      | ( epred1_0 @ X16 @ X22 )
      | ~ ( epred2_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X14 @ X15 )
      | ~ ( epred2_0 @ X16 @ X17 )
      | ~ ( epred1_0 @ X17 @ X22 ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

thf(c_0_17,negated_conjecture,
    ( ( epred1_0 @ esk5_0 @ esk6_0 )
    | ( epred2_0 @ esk1_0 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

thf(c_0_18,negated_conjecture,
    ! [X14: $i,X16: $i,X4: $i > $o,X15: $i,X3: $i,X17: $i,X22: $i] :
      ( ( X4 @ X15 )
      | ( epred1_0 @ X16 @ X22 )
      | ~ ( X4 @ ( esk7_2 @ X3 @ X4 ) )
      | ~ ( epred2_0 @ X3 @ X14 )
      | ~ ( epred1_0 @ X14 @ X15 )
      | ~ ( epred2_0 @ X16 @ X17 )
      | ~ ( epred1_0 @ X17 @ X22 ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

thf(c_0_19,negated_conjecture,
    ! [X4: $i > $o,X15: $i,X3: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ X3 @ ( esk7_2 @ X3 @ X4 ) )
      | ( epred1_0 @ esk5_0 @ esk6_0 )
      | ( epred1_0 @ esk1_0 @ X14 )
      | ( X4 @ X15 )
      | ~ ( epred1_0 @ esk2_0 @ X14 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred2_0 @ X3 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

thf(c_0_20,negated_conjecture,
    ! [X14: $i,X4: $i > $o,X15: $i,X3: $i,X16: $i] :
      ( ( epred1_0 @ esk5_0 @ esk6_0 )
      | ( epred1_0 @ esk1_0 @ X3 )
      | ( X4 @ X14 )
      | ~ ( X4 @ ( esk7_2 @ X15 @ X4 ) )
      | ~ ( epred1_0 @ esk2_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X14 )
      | ~ ( epred2_0 @ X15 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_17]) ).

thf(c_0_21,negated_conjecture,
    ! [X4: $i > $o,X3: $i,X14: $i] :
      ( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
      | ( epred1_0 @ esk5_0 @ esk6_0 )
      | ( epred1_0 @ esk1_0 @ X3 )
      | ( X4 @ X14 )
      | ~ ( epred1_0 @ esk2_0 @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_19,c_0_17]) ).

thf(c_0_22,negated_conjecture,
    ( ( epred1_0 @ esk5_0 @ esk6_0 )
    | ( epred1_0 @ esk2_0 @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

thf(c_0_23,negated_conjecture,
    ! [X4: $i > $o,X3: $i,X14: $i] :
      ( ( epred1_0 @ esk5_0 @ esk6_0 )
      | ( epred1_0 @ esk1_0 @ X3 )
      | ( X4 @ X14 )
      | ~ ( X4 @ ( esk7_2 @ esk1_0 @ X4 ) )
      | ~ ( epred1_0 @ esk2_0 @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_20,c_0_17]) ).

thf(c_0_24,negated_conjecture,
    ! [X4: $i > $o,X3: $i] :
      ( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
      | ( epred1_0 @ esk5_0 @ esk6_0 )
      | ( epred1_0 @ esk1_0 @ X3 )
      | ( X4 @ esk3_0 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

thf(c_0_25,negated_conjecture,
    ! [X4: $i > $o,X3: $i] :
      ( ( epred1_0 @ esk5_0 @ esk6_0 )
      | ( epred1_0 @ esk1_0 @ X3 )
      | ( X4 @ esk3_0 )
      | ~ ( X4 @ ( esk7_2 @ esk1_0 @ X4 ) )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_23,c_0_22]) ).

thf(c_0_26,negated_conjecture,
    ! [X4: $i > $o] :
      ( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
      | ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ esk5_0 @ esk6_0 )
      | ( X4 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_24,c_0_22]) ).

thf(c_0_27,negated_conjecture,
    ( ( epred2_0 @ esk4_0 @ esk5_0 )
    | ( epred1_0 @ esk2_0 @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

thf(c_0_28,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ esk5_0 @ esk6_0 )
      | ( epred1_0 @ esk1_0 @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

thf(c_0_29,negated_conjecture,
    ! [X4: $i > $o,X15: $i,X3: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ X3 @ ( esk7_2 @ X3 @ X4 ) )
      | ( epred1_0 @ esk2_0 @ esk3_0 )
      | ( epred1_0 @ esk4_0 @ X14 )
      | ( X4 @ X15 )
      | ~ ( epred1_0 @ esk5_0 @ X14 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred2_0 @ X3 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_27]) ).

thf(c_0_30,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk5_0 @ esk6_0 )
      | ( epred3_0 @ X3 )
      | ~ ( epred1_0 @ esk1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

thf(c_0_31,negated_conjecture,
    ( ( epred1_0 @ esk5_0 @ esk6_0 )
    | ( epred1_0 @ esk1_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_28,c_0_22]) ).

thf(c_0_32,negated_conjecture,
    ( ( epred1_0 @ esk5_0 @ esk6_0 )
    | ~ ( epred3_0 @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

thf(c_0_33,negated_conjecture,
    ! [X14: $i,X4: $i > $o,X15: $i,X3: $i,X16: $i] :
      ( ( epred1_0 @ esk2_0 @ esk3_0 )
      | ( epred1_0 @ esk4_0 @ X3 )
      | ( X4 @ X14 )
      | ~ ( X4 @ ( esk7_2 @ X15 @ X4 ) )
      | ~ ( epred1_0 @ esk5_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X14 )
      | ~ ( epred2_0 @ X15 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_27]) ).

thf(c_0_34,negated_conjecture,
    ! [X4: $i > $o,X3: $i,X14: $i] :
      ( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
      | ( epred1_0 @ esk2_0 @ esk3_0 )
      | ( epred1_0 @ esk4_0 @ X3 )
      | ( X4 @ X14 )
      | ~ ( epred1_0 @ esk5_0 @ X3 )
      | ~ ( epred1_0 @ esk5_0 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_29,c_0_27]) ).

thf(c_0_35,negated_conjecture,
    epred1_0 @ esk5_0 @ esk6_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).

thf(c_0_36,negated_conjecture,
    ! [X4: $i > $o,X3: $i,X14: $i] :
      ( ( epred1_0 @ esk2_0 @ esk3_0 )
      | ( epred1_0 @ esk4_0 @ X3 )
      | ( X4 @ X14 )
      | ~ ( X4 @ ( esk7_2 @ esk4_0 @ X4 ) )
      | ~ ( epred1_0 @ esk5_0 @ X3 )
      | ~ ( epred1_0 @ esk5_0 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_33,c_0_27]) ).

thf(c_0_37,negated_conjecture,
    ! [X4: $i > $o,X3: $i] :
      ( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
      | ( epred1_0 @ esk2_0 @ esk3_0 )
      | ( epred1_0 @ esk4_0 @ X3 )
      | ( X4 @ esk6_0 )
      | ~ ( epred1_0 @ esk5_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

thf(c_0_38,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

thf(c_0_39,negated_conjecture,
    ( ( epred2_0 @ esk4_0 @ esk5_0 )
    | ( epred2_0 @ esk1_0 @ esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

thf(c_0_40,negated_conjecture,
    ! [X4: $i > $o,X3: $i] :
      ( ( epred1_0 @ esk2_0 @ esk3_0 )
      | ( epred1_0 @ esk4_0 @ X3 )
      | ( X4 @ esk6_0 )
      | ~ ( X4 @ ( esk7_2 @ esk4_0 @ X4 ) )
      | ~ ( epred1_0 @ esk5_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_35]) ).

thf(c_0_41,negated_conjecture,
    ! [X4: $i > $o] :
      ( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
      | ( epred1_0 @ esk2_0 @ esk3_0 )
      | ( X4 @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_35]),c_0_38]) ).

thf(c_0_42,negated_conjecture,
    ! [X4: $i > $o,X15: $i,X3: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ X3 @ ( esk7_2 @ X3 @ X4 ) )
      | ( epred2_0 @ esk4_0 @ esk5_0 )
      | ( epred1_0 @ esk1_0 @ X14 )
      | ( X4 @ X15 )
      | ~ ( epred1_0 @ esk2_0 @ X14 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred2_0 @ X3 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_39]) ).

thf(c_0_43,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk2_0 @ esk3_0 )
      | ( epred1_0 @ esk4_0 @ X3 )
      | ~ ( epred1_0 @ esk5_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_38]) ).

thf(c_0_44,negated_conjecture,
    ! [X4: $i > $o,X3: $i,X14: $i] :
      ( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
      | ( epred2_0 @ esk4_0 @ esk5_0 )
      | ( epred1_0 @ esk1_0 @ X3 )
      | ( X4 @ X14 )
      | ~ ( epred1_0 @ esk2_0 @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_42,c_0_39]) ).

thf(c_0_45,negated_conjecture,
    epred1_0 @ esk2_0 @ esk3_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_35]),c_0_38]) ).

thf(c_0_46,negated_conjecture,
    ! [X14: $i,X4: $i > $o,X15: $i,X3: $i,X16: $i] :
      ( ( epred2_0 @ esk4_0 @ esk5_0 )
      | ( epred1_0 @ esk1_0 @ X3 )
      | ( X4 @ X14 )
      | ~ ( X4 @ ( esk7_2 @ X15 @ X4 ) )
      | ~ ( epred1_0 @ esk2_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X14 )
      | ~ ( epred2_0 @ X15 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_39]) ).

thf(c_0_47,negated_conjecture,
    ! [X4: $i > $o,X3: $i] :
      ( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
      | ( epred2_0 @ esk4_0 @ esk5_0 )
      | ( epred1_0 @ esk1_0 @ X3 )
      | ( X4 @ esk3_0 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

thf(c_0_48,negated_conjecture,
    ! [X4: $i > $o,X3: $i,X14: $i] :
      ( ( epred2_0 @ esk4_0 @ esk5_0 )
      | ( epred1_0 @ esk1_0 @ X3 )
      | ( X4 @ esk3_0 )
      | ~ ( X4 @ ( esk7_2 @ X14 @ X4 ) )
      | ~ ( epred1_0 @ esk2_0 @ X3 )
      | ~ ( epred2_0 @ X14 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_46,c_0_45]) ).

thf(c_0_49,negated_conjecture,
    ! [X4: $i > $o] :
      ( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
      | ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred2_0 @ esk4_0 @ esk5_0 )
      | ( X4 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_47,c_0_45]) ).

thf(c_0_50,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred2_0 @ esk4_0 @ esk5_0 )
      | ( epred1_0 @ esk1_0 @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_39]) ).

thf(c_0_51,negated_conjecture,
    ( ( epred2_0 @ esk4_0 @ esk5_0 )
    | ( epred1_0 @ esk1_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_50,c_0_45]) ).

thf(c_0_52,negated_conjecture,
    ! [X4: $i > $o,X15: $i,X3: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ X3 @ ( esk7_2 @ X3 @ X4 ) )
      | ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ esk4_0 @ X14 )
      | ( X4 @ X15 )
      | ~ ( epred1_0 @ esk5_0 @ X14 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred2_0 @ X3 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_51]) ).

thf(c_0_53,negated_conjecture,
    ! [X14: $i,X4: $i > $o,X15: $i,X3: $i,X16: $i] :
      ( ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ esk4_0 @ X3 )
      | ( X4 @ X14 )
      | ~ ( X4 @ ( esk7_2 @ X15 @ X4 ) )
      | ~ ( epred1_0 @ esk5_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X14 )
      | ~ ( epred2_0 @ X15 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_51]) ).

thf(c_0_54,negated_conjecture,
    ! [X4: $i > $o,X3: $i,X14: $i] :
      ( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
      | ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ esk4_0 @ X3 )
      | ( X4 @ X14 )
      | ~ ( epred1_0 @ esk5_0 @ X3 )
      | ~ ( epred1_0 @ esk5_0 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_52,c_0_51]) ).

thf(c_0_55,negated_conjecture,
    ! [X4: $i > $o,X3: $i,X14: $i] :
      ( ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ esk4_0 @ X3 )
      | ( X4 @ X14 )
      | ~ ( X4 @ ( esk7_2 @ esk4_0 @ X4 ) )
      | ~ ( epred1_0 @ esk5_0 @ X3 )
      | ~ ( epred1_0 @ esk5_0 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_53,c_0_51]) ).

thf(c_0_56,negated_conjecture,
    ! [X4: $i > $o,X3: $i] :
      ( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
      | ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ esk4_0 @ X3 )
      | ( X4 @ esk6_0 )
      | ~ ( epred1_0 @ esk5_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_54,c_0_35]) ).

thf(c_0_57,negated_conjecture,
    ! [X4: $i > $o,X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ esk4_0 @ X3 )
      | ( X4 @ esk6_0 )
      | ~ ( X4 @ ( esk7_2 @ esk4_0 @ X4 ) )
      | ~ ( epred1_0 @ esk5_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_55,c_0_35]) ).

thf(c_0_58,negated_conjecture,
    ! [X4: $i > $o] :
      ( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
      | ( epred1_0 @ esk4_0 @ esk6_0 )
      | ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( X4 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_56,c_0_35]) ).

thf(c_0_59,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk4_0 @ esk6_0 )
      | ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ esk4_0 @ X3 )
      | ~ ( epred1_0 @ esk5_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

thf(c_0_60,negated_conjecture,
    ! [X3: $i] :
      ( ( epred2_0 @ esk4_0 @ esk5_0 )
      | ( epred3_0 @ X3 )
      | ~ ( epred1_0 @ esk1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

thf(c_0_61,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk3_0 )
    | ( epred1_0 @ esk4_0 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_59,c_0_35]) ).

thf(c_0_62,negated_conjecture,
    ( ( epred2_0 @ esk4_0 @ esk5_0 )
    | ~ ( epred3_0 @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

thf(c_0_63,negated_conjecture,
    ( ( epred1_0 @ esk4_0 @ esk6_0 )
    | ( epred2_0 @ esk4_0 @ esk5_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).

thf(c_0_64,negated_conjecture,
    ! [X4: $i > $o,X15: $i,X3: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ X3 @ ( esk7_2 @ X3 @ X4 ) )
      | ( epred1_0 @ esk4_0 @ esk6_0 )
      | ( epred1_0 @ esk4_0 @ X14 )
      | ( X4 @ X15 )
      | ~ ( epred1_0 @ esk5_0 @ X14 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred2_0 @ X3 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_63]) ).

thf(c_0_65,negated_conjecture,
    ! [X14: $i,X4: $i > $o,X15: $i,X3: $i,X16: $i] :
      ( ( epred1_0 @ esk4_0 @ esk6_0 )
      | ( epred1_0 @ esk4_0 @ X3 )
      | ( X4 @ X14 )
      | ~ ( X4 @ ( esk7_2 @ X15 @ X4 ) )
      | ~ ( epred1_0 @ esk5_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X14 )
      | ~ ( epred2_0 @ X15 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_63]) ).

thf(c_0_66,negated_conjecture,
    ! [X4: $i > $o,X3: $i,X14: $i] :
      ( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
      | ( epred1_0 @ esk4_0 @ esk6_0 )
      | ( epred1_0 @ esk4_0 @ X3 )
      | ( X4 @ X14 )
      | ~ ( epred1_0 @ esk5_0 @ X3 )
      | ~ ( epred1_0 @ esk5_0 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_64,c_0_63]) ).

thf(c_0_67,negated_conjecture,
    ( ( epred2_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk4_0 @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

thf(c_0_68,negated_conjecture,
    ! [X4: $i > $o,X3: $i,X14: $i] :
      ( ( epred1_0 @ esk4_0 @ esk6_0 )
      | ( epred1_0 @ esk4_0 @ X3 )
      | ( X4 @ X14 )
      | ~ ( X4 @ ( esk7_2 @ esk4_0 @ X4 ) )
      | ~ ( epred1_0 @ esk5_0 @ X3 )
      | ~ ( epred1_0 @ esk5_0 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_65,c_0_63]) ).

thf(c_0_69,negated_conjecture,
    ! [X4: $i > $o,X3: $i] :
      ( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
      | ( epred1_0 @ esk4_0 @ esk6_0 )
      | ( epred1_0 @ esk4_0 @ X3 )
      | ( X4 @ esk6_0 )
      | ~ ( epred1_0 @ esk5_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_66,c_0_35]) ).

thf(c_0_70,negated_conjecture,
    ! [X4: $i > $o,X15: $i,X3: $i,X14: $i,X16: $i] :
      ( ( epred1_0 @ X3 @ ( esk7_2 @ X3 @ X4 ) )
      | ( epred1_0 @ esk1_0 @ X14 )
      | ( X4 @ X15 )
      | ~ ( epred1_0 @ esk4_0 @ esk6_0 )
      | ~ ( epred1_0 @ esk2_0 @ X14 )
      | ~ ( epred1_0 @ X16 @ X15 )
      | ~ ( epred2_0 @ X3 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_67]) ).

thf(c_0_71,negated_conjecture,
    ! [X4: $i > $o,X3: $i] :
      ( ( epred1_0 @ esk4_0 @ esk6_0 )
      | ( epred1_0 @ esk4_0 @ X3 )
      | ( X4 @ esk6_0 )
      | ~ ( X4 @ ( esk7_2 @ esk4_0 @ X4 ) )
      | ~ ( epred1_0 @ esk5_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_68,c_0_35]) ).

thf(c_0_72,negated_conjecture,
    ! [X4: $i > $o] :
      ( ( epred1_0 @ esk4_0 @ ( esk7_2 @ esk4_0 @ X4 ) )
      | ( epred1_0 @ esk4_0 @ esk6_0 )
      | ( X4 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_69,c_0_35]) ).

thf(c_0_73,negated_conjecture,
    ! [X14: $i,X4: $i > $o,X15: $i,X3: $i,X16: $i] :
      ( ( epred1_0 @ esk1_0 @ X3 )
      | ( X4 @ X14 )
      | ~ ( epred1_0 @ esk4_0 @ esk6_0 )
      | ~ ( X4 @ ( esk7_2 @ X15 @ X4 ) )
      | ~ ( epred1_0 @ esk2_0 @ X3 )
      | ~ ( epred1_0 @ X16 @ X14 )
      | ~ ( epred2_0 @ X15 @ X16 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_67]) ).

thf(c_0_74,negated_conjecture,
    ! [X4: $i > $o,X3: $i,X14: $i] :
      ( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
      | ( epred1_0 @ esk1_0 @ X3 )
      | ( X4 @ X14 )
      | ~ ( epred1_0 @ esk4_0 @ esk6_0 )
      | ~ ( epred1_0 @ esk2_0 @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_70,c_0_67]) ).

thf(c_0_75,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk4_0 @ esk6_0 )
      | ( epred1_0 @ esk4_0 @ X3 )
      | ~ ( epred1_0 @ esk5_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

thf(c_0_76,negated_conjecture,
    ! [X4: $i > $o,X3: $i,X14: $i] :
      ( ( epred1_0 @ esk1_0 @ X3 )
      | ( X4 @ X14 )
      | ~ ( epred1_0 @ esk4_0 @ esk6_0 )
      | ~ ( X4 @ ( esk7_2 @ esk1_0 @ X4 ) )
      | ~ ( epred1_0 @ esk2_0 @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_73,c_0_67]) ).

thf(c_0_77,negated_conjecture,
    ! [X4: $i > $o,X3: $i] :
      ( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
      | ( epred1_0 @ esk1_0 @ X3 )
      | ( X4 @ esk3_0 )
      | ~ ( epred1_0 @ esk4_0 @ esk6_0 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_74,c_0_38]) ).

thf(c_0_78,negated_conjecture,
    epred1_0 @ esk4_0 @ esk6_0,
    inference(spm,[status(thm)],[c_0_75,c_0_35]) ).

thf(c_0_79,negated_conjecture,
    ! [X4: $i > $o,X3: $i] :
      ( ( epred1_0 @ esk1_0 @ X3 )
      | ( X4 @ esk3_0 )
      | ~ ( epred1_0 @ esk4_0 @ esk6_0 )
      | ~ ( X4 @ ( esk7_2 @ esk1_0 @ X4 ) )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_76,c_0_38]) ).

thf(c_0_80,negated_conjecture,
    ! [X4: $i > $o,X3: $i] :
      ( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
      | ( epred1_0 @ esk1_0 @ X3 )
      | ( X4 @ esk3_0 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]) ).

thf(c_0_81,negated_conjecture,
    ! [X4: $i > $o,X3: $i] :
      ( ( epred1_0 @ esk1_0 @ X3 )
      | ( X4 @ esk3_0 )
      | ~ ( X4 @ ( esk7_2 @ esk1_0 @ X4 ) )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_78])]) ).

thf(c_0_82,negated_conjecture,
    ! [X4: $i > $o] :
      ( ( epred1_0 @ esk1_0 @ ( esk7_2 @ esk1_0 @ X4 ) )
      | ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( X4 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_80,c_0_45]) ).

thf(c_0_83,negated_conjecture,
    ! [X3: $i] :
      ( ( epred3_0 @ X3 )
      | ~ ( epred1_0 @ esk4_0 @ esk6_0 )
      | ~ ( epred1_0 @ esk1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

thf(c_0_84,negated_conjecture,
    ! [X3: $i] :
      ( ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ esk1_0 @ X3 )
      | ~ ( epred1_0 @ esk2_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

thf(c_0_85,negated_conjecture,
    ( ~ ( epred1_0 @ esk4_0 @ esk6_0 )
    | ~ ( epred3_0 @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

thf(c_0_86,negated_conjecture,
    ! [X3: $i] :
      ( ( epred3_0 @ X3 )
      | ~ ( epred1_0 @ esk1_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_78])]) ).

thf(c_0_87,negated_conjecture,
    epred1_0 @ esk1_0 @ esk3_0,
    inference(spm,[status(thm)],[c_0_84,c_0_45]) ).

thf(c_0_88,negated_conjecture,
    ~ ( epred3_0 @ esk3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_78])]) ).

thf(c_0_89,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : LCL879^1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n013.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon May 20 03:13:53 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.17/0.45  Running higher-order theorem proving
% 0.17/0.45  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
% 0.17/0.48  # Version: 3.1.0-ho
% 0.17/0.48  # Preprocessing class: HSMSSMSSMLMNHHA.
% 0.17/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48  # Starting new_ho_10 with 1500s (5) cores
% 0.17/0.48  # Starting sh5l with 300s (1) cores
% 0.17/0.48  # Starting new_bool_2 with 300s (1) cores
% 0.17/0.48  # Starting new_bool_9 with 300s (1) cores
% 0.17/0.48  # new_bool_9 with pid 32336 completed with status 0
% 0.17/0.48  # Result found by new_bool_9
% 0.17/0.48  # Preprocessing class: HSMSSMSSMLMNHHA.
% 0.17/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48  # Starting new_ho_10 with 1500s (5) cores
% 0.17/0.48  # Starting sh5l with 300s (1) cores
% 0.17/0.48  # Starting new_bool_2 with 300s (1) cores
% 0.17/0.48  # Starting new_bool_9 with 300s (1) cores
% 0.17/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.17/0.48  # Search class: HGHNF-FFSS22-SHHSMSBN
% 0.17/0.48  # partial match(2): HGUNF-FFSS22-SHSSMSBN
% 0.17/0.48  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.48  # Starting new_ho_10 with 163s (1) cores
% 0.17/0.48  # new_ho_10 with pid 32337 completed with status 0
% 0.17/0.48  # Result found by new_ho_10
% 0.17/0.48  # Preprocessing class: HSMSSMSSMLMNHHA.
% 0.17/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48  # Starting new_ho_10 with 1500s (5) cores
% 0.17/0.48  # Starting sh5l with 300s (1) cores
% 0.17/0.48  # Starting new_bool_2 with 300s (1) cores
% 0.17/0.48  # Starting new_bool_9 with 300s (1) cores
% 0.17/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.17/0.48  # Search class: HGHNF-FFSS22-SHHSMSBN
% 0.17/0.48  # partial match(2): HGUNF-FFSS22-SHSSMSBN
% 0.17/0.48  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.48  # Starting new_ho_10 with 163s (1) cores
% 0.17/0.48  # Preprocessing time       : 0.001 s
% 0.17/0.48  # Presaturation interreduction done
% 0.17/0.48  
% 0.17/0.48  # Proof found!
% 0.17/0.48  # SZS status Theorem
% 0.17/0.48  # SZS output start CNFRefutation
% See solution above
% 0.17/0.48  # Parsed axioms                        : 64
% 0.17/0.48  # Removed by relevancy pruning/SinE    : 57
% 0.17/0.48  # Initial clauses                      : 14
% 0.17/0.48  # Removed in clause preprocessing      : 0
% 0.17/0.48  # Initial clauses in saturation        : 14
% 0.17/0.48  # Processed clauses                    : 166
% 0.17/0.48  # ...of these trivial                  : 0
% 0.17/0.48  # ...subsumed                          : 55
% 0.17/0.48  # ...remaining for further processing  : 111
% 0.17/0.48  # Other redundant clauses eliminated   : 0
% 0.17/0.48  # Clauses deleted for lack of memory   : 0
% 0.17/0.48  # Backward-subsumed                    : 36
% 0.17/0.48  # Backward-rewritten                   : 44
% 0.17/0.48  # Generated clauses                    : 198
% 0.17/0.48  # ...of the previous two non-redundant : 204
% 0.17/0.48  # ...aggressively subsumed             : 0
% 0.17/0.48  # Contextual simplify-reflections      : 7
% 0.17/0.48  # Paramodulations                      : 198
% 0.17/0.48  # Factorizations                       : 0
% 0.17/0.48  # NegExts                              : 0
% 0.17/0.48  # Equation resolutions                 : 0
% 0.17/0.48  # Disequality decompositions           : 0
% 0.17/0.48  # Total rewrite steps                  : 46
% 0.17/0.48  # ...of those cached                   : 41
% 0.17/0.48  # Propositional unsat checks           : 0
% 0.17/0.48  #    Propositional check models        : 0
% 0.17/0.48  #    Propositional check unsatisfiable : 0
% 0.17/0.48  #    Propositional clauses             : 0
% 0.17/0.48  #    Propositional clauses after purity: 0
% 0.17/0.48  #    Propositional unsat core size     : 0
% 0.17/0.48  #    Propositional preprocessing time  : 0.000
% 0.17/0.48  #    Propositional encoding time       : 0.000
% 0.17/0.48  #    Propositional solver time         : 0.000
% 0.17/0.48  #    Success case prop preproc time    : 0.000
% 0.17/0.48  #    Success case prop encoding time   : 0.000
% 0.17/0.48  #    Success case prop solver time     : 0.000
% 0.17/0.48  # Current number of processed clauses  : 17
% 0.17/0.48  #    Positive orientable unit clauses  : 5
% 0.17/0.48  #    Positive unorientable unit clauses: 0
% 0.17/0.48  #    Negative unit clauses             : 1
% 0.17/0.48  #    Non-unit-clauses                  : 11
% 0.17/0.48  # Current number of unprocessed clauses: 17
% 0.17/0.48  # ...number of literals in the above   : 90
% 0.17/0.48  # Current number of archived formulas  : 0
% 0.17/0.48  # Current number of archived clauses   : 94
% 0.17/0.48  # Clause-clause subsumption calls (NU) : 1076
% 0.17/0.48  # Rec. Clause-clause subsumption calls : 186
% 0.17/0.48  # Non-unit clause-clause subsumptions  : 88
% 0.17/0.48  # Unit Clause-clause subsumption calls : 34
% 0.17/0.48  # Rewrite failures with RHS unbound    : 0
% 0.17/0.48  # BW rewrite match attempts            : 5
% 0.17/0.48  # BW rewrite match successes           : 5
% 0.17/0.48  # Condensation attempts                : 166
% 0.17/0.48  # Condensation successes               : 0
% 0.17/0.48  # Termbank termtop insertions          : 19596
% 0.17/0.48  # Search garbage collected termcells   : 722
% 0.17/0.48  
% 0.17/0.48  # -------------------------------------------------
% 0.17/0.48  # User time                : 0.022 s
% 0.17/0.48  # System time              : 0.001 s
% 0.17/0.48  # Total time               : 0.023 s
% 0.17/0.48  # Maximum resident set size: 2088 pages
% 0.17/0.48  
% 0.17/0.48  # -------------------------------------------------
% 0.17/0.48  # User time                : 0.025 s
% 0.17/0.48  # System time              : 0.002 s
% 0.17/0.48  # Total time               : 0.027 s
% 0.17/0.48  # Maximum resident set size: 1796 pages
% 0.17/0.48  % E---3.1 exiting
% 0.17/0.48  % E exiting
%------------------------------------------------------------------------------