↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEU482^1 : TPTP v9.3.1. Bugfixed v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:24:04 AM UTC 2026

% Result   : Theorem 32.76s 8.44s
% Output   : CNFRefutation 32.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   72 (  42 unt;   0 typ;   0 def)
%            Number of atoms       :  210 ( 146 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  949 ( 107   ~; 133   |;  37   &; 631   @)
%                                         (   0 <=>;  41  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  141 ( 141   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   3 con; 0-4 aty)
%            Number of variables   :  399 ( 142   ^; 236   !;  21   ?; 399   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_23,type,
    subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(decl_30,type,
    rc: ( $i > $i > $o ) > $i > $i > $o ).

thf(decl_35,type,
    trans: ( $i > $i > $o ) > $o ).

thf(decl_36,type,
    tc: ( $i > $i > $o ) > $i > $i > $o ).

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

thf(decl_42,type,
    term: ( $i > $i > $o ) > $o ).

thf(decl_44,type,
    innf: ( $i > $i > $o ) > $i > $o ).

thf(decl_45,type,
    nfof: ( $i > $i > $o ) > $i > $i > $o ).

thf(decl_46,type,
    norm: ( $i > $i > $o ) > $o ).

thf(decl_52,type,
    esk1_0: $i ).

thf(decl_53,type,
    esk2_0: $i ).

thf(decl_54,type,
    esk3_1: ( $i > $i > $o ) > $i ).

thf(decl_55,type,
    epred1_2: ( $i > $i > $o ) > $i > $i > $i > $o ).

thf(decl_56,type,
    esk4_2: ( $i > $i > $o ) > $i > $i ).

thf(decl_57,type,
    esk5_2: ( $i > $i > $o ) > ( $i > $o ) > $i ).

thf(transitive_closure,axiom,
    ( tc
    = ( ^ [X1: $i > $i > $o,X3: $i,X4: $i] :
        ! [X2: $i > $i > $o] :
          ( ( ( trans @ X2 )
            & ( subrel @ X1 @ X2 ) )
         => ( X2 @ X3 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.eNhnb0UYB5/E---3.1_3547534.p',transitive_closure) ).

thf(subrel,axiom,
    ( subrel
    = ( ^ [X1: $i > $i > $o,X2: $i > $i > $o] :
        ! [X3: $i,X4: $i] :
          ( ( X1 @ X3 @ X4 )
         => ( X2 @ X3 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.eNhnb0UYB5/E---3.1_3547534.p',subrel) ).

thf(transitive,axiom,
    ( trans
    = ( ^ [X1: $i > $i > $o] :
        ! [X3: $i,X4: $i,X6: $i] :
          ( ( ( X1 @ X3 @ X4 )
            & ( X1 @ X4 @ X6 ) )
         => ( X1 @ X3 @ X6 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.eNhnb0UYB5/E---3.1_3547534.p',transitive) ).

thf(transitive_reflexive_closure,axiom,
    ( trc
    = ( ^ [X1: $i > $i > $o] : ( rc @ ( tc @ X1 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.eNhnb0UYB5/E---3.1_3547534.p',transitive_reflexive_closure) ).

thf(reflexive_closure,axiom,
    ( rc
    = ( ^ [X1: $i > $i > $o,X3: $i,X4: $i] :
          ( ( X3 = X4 )
          | ( X1 @ X3 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.eNhnb0UYB5/E---3.1_3547534.p',reflexive_closure) ).

thf(normal_form_of,axiom,
    ( nfof
    = ( ^ [X1: $i > $i > $o,X3: $i,X4: $i] :
          ( ( trc @ X1 @ X4 @ X3 )
          & ( innf @ X1 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.eNhnb0UYB5/E---3.1_3547534.p',normal_form_of) ).

thf(in_normal_form,axiom,
    ( innf
    = ( ^ [X1: $i > $i > $o,X3: $i] :
          ~ ? [X4: $i] : ( X1 @ X3 @ X4 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.eNhnb0UYB5/E---3.1_3547534.p',in_normal_form) ).

thf(normalizing,axiom,
    ( norm
    = ( ^ [X1: $i > $i > $o] :
        ! [X3: $i] :
        ? [X4: $i] : ( nfof @ X1 @ X4 @ X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.eNhnb0UYB5/E---3.1_3547534.p',normalizing) ).

thf(normalizing_does_not_imply_terminating,conjecture,
    ~ ! [X1: $i > $i > $o] :
        ( ( norm @ X1 )
       => ( term @ X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.eNhnb0UYB5/E---3.1_3547534.p',normalizing_does_not_imply_terminating) ).

thf(terminating,axiom,
    ( term
    = ( ^ [X1: $i > $i > $o] :
        ! [X7: $i > $o] :
          ( ? [X3: $i] : ( X7 @ X3 )
         => ? [X3: $i] :
              ( ( X7 @ X3 )
              & ! [X4: $i] :
                  ( ( X7 @ X4 )
                 => ~ ( X1 @ X3 @ X4 ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.eNhnb0UYB5/E---3.1_3547534.p',terminating) ).

thf(two_individuals,hypothesis,
    ? [X4: $i,X6: $i] : ( X4 != X6 ),
    file('/export/starexec/sandbox/tmp/tmp.eNhnb0UYB5/E---3.1_3547534.p',two_individuals) ).

thf(c_0_11,plain,
    ( tc
    = ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] :
        ! [X2: $i > $i > $o] :
          ( ( ! [X18: $i,X19: $i,X20: $i] :
                ( ( ( X2 @ X18 @ X19 )
                  & ( X2 @ X19 @ X20 ) )
               => ( X2 @ X18 @ X20 ) )
            & ! [X21: $i,X22: $i] :
                ( ( Z0 @ X21 @ X22 )
               => ( X2 @ X21 @ X22 ) ) )
         => ( X2 @ Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[transitive_closure]) ).

thf(c_0_12,plain,
    ( subrel
    = ( ^ [Z0: $i > $i > $o,Z1: $i > $i > $o] :
        ! [X3: $i,X4: $i] :
          ( ( Z0 @ X3 @ X4 )
         => ( Z1 @ X3 @ X4 ) ) ) ),
    inference(fof_simplification,[status(thm)],[subrel]) ).

thf(c_0_13,plain,
    ( trans
    = ( ^ [Z0: $i > $i > $o] :
        ! [X3: $i,X4: $i,X6: $i] :
          ( ( ( Z0 @ X3 @ X4 )
            & ( Z0 @ X4 @ X6 ) )
         => ( Z0 @ X3 @ X6 ) ) ) ),
    inference(fof_simplification,[status(thm)],[transitive]) ).

thf(c_0_14,plain,
    ( trc
    = ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] :
          ( ( Z1 = Z2 )
          | ! [X23: $i > $i > $o] :
              ( ( ! [X24: $i,X25: $i,X26: $i] :
                    ( ( ( X23 @ X24 @ X25 )
                      & ( X23 @ X25 @ X26 ) )
                   => ( X23 @ X24 @ X26 ) )
                & ! [X27: $i,X28: $i] :
                    ( ( Z0 @ X27 @ X28 )
                   => ( X23 @ X27 @ X28 ) ) )
             => ( X23 @ Z1 @ Z2 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[transitive_reflexive_closure]) ).

thf(c_0_15,plain,
    ( rc
    = ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] :
          ( ( Z1 = Z2 )
          | ( Z0 @ Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[reflexive_closure]) ).

thf(c_0_16,plain,
    ( tc
    = ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] :
        ! [X2: $i > $i > $o] :
          ( ( ! [X18: $i,X19: $i,X20: $i] :
                ( ( ( X2 @ X18 @ X19 )
                  & ( X2 @ X19 @ X20 ) )
               => ( X2 @ X18 @ X20 ) )
            & ! [X21: $i,X22: $i] :
                ( ( Z0 @ X21 @ X22 )
               => ( X2 @ X21 @ X22 ) ) )
         => ( X2 @ Z1 @ Z2 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).

thf(c_0_17,plain,
    ( nfof
    = ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] :
          ( ( Z2
            | ! [X52: $i > $i > $o] :
                ( ( ! [X53: $i,X54: $i,X55: $i] :
                      ( ( ( X52 @ X53 @ X54 )
                        & ( X52 @ X54 @ X55 ) )
                     => ( X52 @ X53 @ X55 ) )
                  & ! [X56: $i,X57: $i] :
                      ( ( Z0 @ X56 @ X57 )
                     => ( X52 @ X56 @ X57 ) ) )
               => ( X52 @ Z2 @ Z1 ) ) )
          & ~ ? [X58: $i] : ( Z0 @ Z1 @ X58 ) ) ) ),
    inference(fof_simplification,[status(thm)],[normal_form_of]) ).

thf(c_0_18,plain,
    ( trc
    = ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] :
          ( ( Z1 = Z2 )
          | ! [X23: $i > $i > $o] :
              ( ( ! [X24: $i,X25: $i,X26: $i] :
                    ( ( ( X23 @ X24 @ X25 )
                      & ( X23 @ X25 @ X26 ) )
                   => ( X23 @ X24 @ X26 ) )
                & ! [X27: $i,X28: $i] :
                    ( ( Z0 @ X27 @ X28 )
                   => ( X23 @ X27 @ X28 ) ) )
             => ( X23 @ Z1 @ Z2 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

thf(c_0_19,plain,
    ( innf
    = ( ^ [Z0: $i > $i > $o,Z1: $i] :
          ~ ? [X4: $i] : ( Z0 @ Z1 @ X4 ) ) ),
    inference(fof_simplification,[status(thm)],[in_normal_form]) ).

thf(c_0_20,plain,
    ( norm
    = ( ^ [Z0: $i > $i > $o] :
        ! [X3: $i] :
        ? [X4: $i] :
          ( ( ( X3 = X4 )
            | ! [X59: $i > $i > $o] :
                ( ( ! [X60: $i,X61: $i,X62: $i] :
                      ( ( ( X59 @ X60 @ X61 )
                        & ( X59 @ X61 @ X62 ) )
                     => ( X59 @ X60 @ X62 ) )
                  & ! [X63: $i,X64: $i] :
                      ( ( Z0 @ X63 @ X64 )
                     => ( X59 @ X63 @ X64 ) ) )
               => ( X59 @ X3 @ X4 ) ) )
          & ~ ? [X65: $i] : ( Z0 @ X4 @ X65 ) ) ) ),
    inference(fof_simplification,[status(thm)],[normalizing]) ).

thf(c_0_21,plain,
    ( nfof
    = ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] :
          ( ( Z2
            | ! [X52: $i > $i > $o] :
                ( ( ! [X53: $i,X54: $i,X55: $i] :
                      ( ( ( X52 @ X53 @ X54 )
                        & ( X52 @ X54 @ X55 ) )
                     => ( X52 @ X53 @ X55 ) )
                  & ! [X56: $i,X57: $i] :
                      ( ( Z0 @ X56 @ X57 )
                     => ( X52 @ X56 @ X57 ) ) )
               => ( X52 @ Z2 @ Z1 ) ) )
          & ~ ? [X58: $i] : ( Z0 @ Z1 @ X58 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).

thf(c_0_22,negated_conjecture,
    ~ ~ ! [X1: $i > $i > $o] :
          ( ( norm @ X1 )
         => ( term @ X1 ) ),
    inference(assume_negation,[status(cth)],[normalizing_does_not_imply_terminating]) ).

thf(c_0_23,plain,
    ( term
    = ( ^ [Z0: $i > $i > $o] :
        ! [X7: $i > $o] :
          ( ? [X3: $i] : ( X7 @ X3 )
         => ? [X3: $i] :
              ( ( X7 @ X3 )
              & ! [X4: $i] :
                  ( ( X7 @ X4 )
                 => ~ ( Z0 @ X3 @ X4 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[terminating]) ).

thf(c_0_24,plain,
    ( norm
    = ( ^ [Z0: $i > $i > $o] :
        ! [X3: $i] :
        ? [X4: $i] :
          ( ( ( X3 = X4 )
            | ! [X59: $i > $i > $o] :
                ( ( ! [X60: $i,X61: $i,X62: $i] :
                      ( ( ( X59 @ X60 @ X61 )
                        & ( X59 @ X61 @ X62 ) )
                     => ( X59 @ X60 @ X62 ) )
                  & ! [X63: $i,X64: $i] :
                      ( ( Z0 @ X63 @ X64 )
                     => ( X59 @ X63 @ X64 ) ) )
               => ( X59 @ X3 @ X4 ) ) )
          & ~ ? [X65: $i] : ( Z0 @ X4 @ X65 ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_20,c_0_21]) ).

thf(c_0_25,negated_conjecture,
    ~ ~ ! [X1: $i > $i > $o] :
          ( ! [X160: $i] :
            ? [X161: $i] :
              ( ( ( X160 = X161 )
                | ! [X162: $i > $i > $o] :
                    ( ( ! [X163: $i,X164: $i,X165: $i] :
                          ( ( ( X162 @ X163 @ X164 )
                            & ( X162 @ X164 @ X165 ) )
                         => ( X162 @ X163 @ X165 ) )
                      & ! [X166: $i,X167: $i] :
                          ( ( X1 @ X166 @ X167 )
                         => ( X162 @ X166 @ X167 ) ) )
                   => ( X162 @ X160 @ X161 ) ) )
              & ~ ? [X168: $i] : ( X1 @ X161 @ X168 ) )
         => ! [X169: $i > $o] :
              ( ? [X170: $i] : ( X169 @ X170 )
             => ? [X171: $i] :
                  ( ( X169 @ X171 )
                  & ! [X172: $i] :
                      ( ( X169 @ X172 )
                     => ~ ( X1 @ X171 @ X172 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

thf(c_0_26,negated_conjecture,
    ! [X175: $i > $i > $o,X177: $i,X179: $i,X180: $i,X181: $i,X182: $i,X183: $i,X185: $i > $o,X186: $i,X188: $i] :
      ( ( ( X185 @ ( esk5_2 @ X175 @ X185 ) )
        | ~ ( X185 @ X186 )
        | ( ( esk3_1 @ X175 )
         != X177 )
        | ( X175 @ X177 @ ( esk4_2 @ X175 @ X177 ) ) )
      & ( ~ ( X185 @ X188 )
        | ~ ( X175 @ ( esk5_2 @ X175 @ X185 ) @ X188 )
        | ~ ( X185 @ X186 )
        | ( ( esk3_1 @ X175 )
         != X177 )
        | ( X175 @ X177 @ ( esk4_2 @ X175 @ X177 ) ) )
      & ( ( X185 @ ( esk5_2 @ X175 @ X185 ) )
        | ~ ( X185 @ X186 )
        | ~ ( epred1_2 @ X175 @ X177 @ X179 @ X180 )
        | ~ ( epred1_2 @ X175 @ X177 @ X180 @ X181 )
        | ( epred1_2 @ X175 @ X177 @ X179 @ X181 )
        | ( X175 @ X177 @ ( esk4_2 @ X175 @ X177 ) ) )
      & ( ~ ( X185 @ X188 )
        | ~ ( X175 @ ( esk5_2 @ X175 @ X185 ) @ X188 )
        | ~ ( X185 @ X186 )
        | ~ ( epred1_2 @ X175 @ X177 @ X179 @ X180 )
        | ~ ( epred1_2 @ X175 @ X177 @ X180 @ X181 )
        | ( epred1_2 @ X175 @ X177 @ X179 @ X181 )
        | ( X175 @ X177 @ ( esk4_2 @ X175 @ X177 ) ) )
      & ( ( X185 @ ( esk5_2 @ X175 @ X185 ) )
        | ~ ( X185 @ X186 )
        | ~ ( X175 @ X182 @ X183 )
        | ( epred1_2 @ X175 @ X177 @ X182 @ X183 )
        | ( X175 @ X177 @ ( esk4_2 @ X175 @ X177 ) ) )
      & ( ~ ( X185 @ X188 )
        | ~ ( X175 @ ( esk5_2 @ X175 @ X185 ) @ X188 )
        | ~ ( X185 @ X186 )
        | ~ ( X175 @ X182 @ X183 )
        | ( epred1_2 @ X175 @ X177 @ X182 @ X183 )
        | ( X175 @ X177 @ ( esk4_2 @ X175 @ X177 ) ) )
      & ( ( X185 @ ( esk5_2 @ X175 @ X185 ) )
        | ~ ( X185 @ X186 )
        | ~ ( epred1_2 @ X175 @ X177 @ ( esk3_1 @ X175 ) @ X177 )
        | ( X175 @ X177 @ ( esk4_2 @ X175 @ X177 ) ) )
      & ( ~ ( X185 @ X188 )
        | ~ ( X175 @ ( esk5_2 @ X175 @ X185 ) @ X188 )
        | ~ ( X185 @ X186 )
        | ~ ( epred1_2 @ X175 @ X177 @ ( esk3_1 @ X175 ) @ X177 )
        | ( X175 @ X177 @ ( esk4_2 @ X175 @ X177 ) ) ) ),
    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_25])])])])])]) ).

thf(c_0_27,negated_conjecture,
    ! [X1: $i > $i > $o,X3: $i,X4: $i,X9: $i,X7: $i > $o,X6: $i] :
      ( ( X7 @ ( esk5_2 @ X1 @ X7 ) )
      | ( epred1_2 @ X1 @ X9 @ X4 @ X6 )
      | ( X1 @ X9 @ ( esk4_2 @ X1 @ X9 ) )
      | ~ ( X7 @ X3 )
      | ~ ( X1 @ X4 @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

thf(c_0_28,negated_conjecture,
    ! [X3: $i,X1: $i > $i > $o,X4: $i,X6: $i,X9: $i] :
      ( ( ( esk5_2 @ X1
          @ ^ [Z0: $i] : ( Z0 = X3 ) )
        = X3 )
      | ( epred1_2 @ X1 @ X4 @ X6 @ X9 )
      | ( X1 @ X4 @ ( esk4_2 @ X1 @ X4 ) )
      | ~ ( X1 @ X6 @ X9 ) ),
    inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_27]) ).

thf(c_0_29,negated_conjecture,
    ! [X1: $i > $i > $o,X3: $i,X7: $i > $o,X4: $i] :
      ( ( X7 @ ( esk5_2 @ X1 @ X7 ) )
      | ( X1 @ X4 @ ( esk4_2 @ X1 @ X4 ) )
      | ~ ( X7 @ X3 )
      | ( ( esk3_1 @ X1 )
       != X4 ) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

thf(c_0_30,negated_conjecture,
    ! [X1: $i > $i > $o,X3: $i,X7: $i > $o,X4: $i] :
      ( ( X7 @ ( esk5_2 @ X1 @ X7 ) )
      | ( X1 @ X4 @ ( esk4_2 @ X1 @ X4 ) )
      | ~ ( X7 @ X3 )
      | ~ ( epred1_2 @ X1 @ X4 @ ( esk3_1 @ X1 ) @ X4 ) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

thf(c_0_31,negated_conjecture,
    ! [X1: $i > $i > $o,X4: $i,X3: $i,X6: $i,X7: $i > $o,X10: $i,X9: $i] :
      ( ( epred1_2 @ X1 @ X10 @ X6 @ X9 )
      | ( X1 @ X10 @ ( esk4_2 @ X1 @ X10 ) )
      | ~ ( X7 @ X3 )
      | ~ ( X1 @ ( esk5_2 @ X1 @ X7 ) @ X3 )
      | ~ ( X7 @ X4 )
      | ~ ( X1 @ X6 @ X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

thf(c_0_32,negated_conjecture,
    ! [X3: $i,X4: $i,X6: $i,X9: $i] :
      ( ( ( esk5_2
          @ ^ [Z0: $i,Z1: $i] : ( Z0 != X3 )
          @ ^ [Z0: $i] : ( Z0 = X4 ) )
        = X4 )
      | ( X6 = X3 )
      | ( epred1_2
        @ ^ [Z0: $i,Z1: $i] : ( Z0 != X3 )
        @ X3
        @ X6
        @ X9 ) ),
    inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_28]) ).

thf(c_0_33,negated_conjecture,
    ! [X1: $i > $i > $o,X7: $i > $o,X3: $i] :
      ( ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_2 @ X1 @ ( esk3_1 @ X1 ) ) )
      | ( X7 @ ( esk5_2 @ X1 @ X7 ) )
      | ~ ( X7 @ X3 ) ),
    inference(er,[status(thm)],[c_0_29]) ).

thf(c_0_34,negated_conjecture,
    ! [X1: $i > $i > $o,X3: $i,X4: $i] :
      ( ( ( esk5_2 @ X1
          @ ^ [Z0: $i] : ( Z0 = X3 ) )
        = X3 )
      | ( X1 @ X4 @ ( esk4_2 @ X1 @ X4 ) )
      | ~ ( epred1_2 @ X1 @ X4 @ ( esk3_1 @ X1 ) @ X4 ) ),
    inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_30]) ).

thf(c_0_35,negated_conjecture,
    ! [X3: $i,X4: $i,X6: $i] :
      ( ( X3 = X4 )
      | ( epred1_2
        @ ^ [Z0: $i,Z1: $i] : ( Z0 != X4 )
        @ X4
        @ X3
        @ X6 ) ),
    inference(condense,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32])])])])])]) ).

thf(c_0_36,negated_conjecture,
    ! [X1: $i > $i > $o,X4: $i,X3: $i,X7: $i > $o,X6: $i] :
      ( ( X1 @ X6 @ ( esk4_2 @ X1 @ X6 ) )
      | ~ ( X7 @ X3 )
      | ~ ( X1 @ ( esk5_2 @ X1 @ X7 ) @ X3 )
      | ~ ( X7 @ X4 )
      | ( ( esk3_1 @ X1 )
       != X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

thf(c_0_37,negated_conjecture,
    ! [X3: $i,X1: $i > $i > $o] :
      ( ( ( esk5_2 @ X1
          @ ^ [Z0: $i] : ( Z0 = X3 ) )
        = X3 )
      | ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_2 @ X1 @ ( esk3_1 @ X1 ) ) ) ),
    inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_33]) ).

thf(c_0_38,negated_conjecture,
    ! [X4: $i,X3: $i] :
      ( ( ( esk5_2
          @ ^ [Z0: $i,Z1: $i] : ( Z0 != X3 )
          @ ^ [Z0: $i] : ( Z0 = X4 ) )
        = X4 )
      | ( ( esk3_1
          @ ^ [Z0: $i,Z1: $i] : ( Z0 != X3 ) )
        = X3 ) ),
    inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35])])]) ).

thf(c_0_39,hypothesis,
    ? [X4: $i,X6: $i] : ( X4 != X6 ),
    inference(fof_simplification,[status(thm)],[two_individuals]) ).

thf(c_0_40,negated_conjecture,
    ! [X1: $i > $i > $o,X7: $i > $o,X4: $i,X3: $i] :
      ( ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_2 @ X1 @ ( esk3_1 @ X1 ) ) )
      | ~ ( X1 @ ( esk5_2 @ X1 @ X7 ) @ X3 )
      | ~ ( X7 @ X4 )
      | ~ ( X7 @ X3 ) ),
    inference(er,[status(thm)],[c_0_36]) ).

thf(c_0_41,negated_conjecture,
    ! [X3: $i,X4: $i] :
      ( ( esk5_2
        @ ^ [Z0: $i,Z1: $i] : ( Z0 != X3 )
        @ ^ [Z0: $i] : ( Z0 = X4 ) )
      = X4 ),
    inference(condense,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38])])])]) ).

thf(c_0_42,negated_conjecture,
    ! [X3: $i,X7: $i > $o,X4: $i] :
      ( ( ( esk3_1
          @ ^ [Z0: $i,Z1: $i] : ( Z0 != X3 ) )
        = X3 )
      | ( X7
        @ ( esk5_2
          @ ^ [Z0: $i,Z1: $i] : ( Z0 != X3 )
          @ X7 ) )
      | ~ ( X7 @ X4 ) ),
    inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_35])])]) ).

thf(c_0_43,negated_conjecture,
    ! [X1: $i > $i > $o,X4: $i,X3: $i,X7: $i > $o,X6: $i] :
      ( ( X1 @ X6 @ ( esk4_2 @ X1 @ X6 ) )
      | ~ ( X7 @ X3 )
      | ~ ( X1 @ ( esk5_2 @ X1 @ X7 ) @ X3 )
      | ~ ( X7 @ X4 )
      | ~ ( epred1_2 @ X1 @ X6 @ ( esk3_1 @ X1 ) @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

thf(c_0_44,hypothesis,
    esk1_0 != esk2_0,
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_39])])]) ).

thf(c_0_45,negated_conjecture,
    ! [X3: $i,X4: $i] :
      ( ( X3 = X4 )
      | ( ( esk3_1
          @ ^ [Z0: $i,Z1: $i] : ( Z0 != X4 ) )
       != X4 ) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41])])])]) ).

thf(c_0_46,negated_conjecture,
    ! [X4: $i,X3: $i,X1: $i > $i > $o] :
      ( ( ( esk5_2 @ X1
          @ ^ [Z0: $i] : ( Z0 = X3 ) )
        = X3 )
      | ( ( esk3_1
          @ ^ [Z0: $i,Z1: $i] : ( Z0 != X4 ) )
        = X4 )
      | ( X1 @ ( esk3_1 @ X1 )
        @ ( esk5_2
          @ ^ [Z0: $i,Z1: $i] : ( Z0 != X4 )
          @ ( X1 @ ( esk3_1 @ X1 ) ) ) ) ),
    inference(spm,[status(thm)],[c_0_42,c_0_37]) ).

thf(c_0_47,negated_conjecture,
    ! [X3: $i,X4: $i,X7: $i > $o,X6: $i] :
      ( ( ( esk5_2
          @ ^ [Z0: $i,Z1: $i] : ( Z0 != X3 )
          @ X7 )
        = X3 )
      | ( ( esk3_1
          @ ^ [Z0: $i,Z1: $i] : ( Z0 != X3 ) )
        = X3 )
      | ~ ( X7 @ X4 )
      | ~ ( X7 @ X6 ) ),
    inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_35])])]) ).

thf(c_0_48,hypothesis,
    esk1_0 != esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

thf(c_0_49,negated_conjecture,
    ! [X3: $i,X6: $i,X4: $i,X1: $i > $i > $o] :
      ( ( ( esk5_2 @ X1
          @ ^ [Z0: $i] : ( Z0 = X3 ) )
        = X3 )
      | ( X4 = X6 )
      | ( X1 @ ( esk3_1 @ X1 )
        @ ( esk5_2
          @ ^ [Z0: $i,Z1: $i] : ( Z0 != X6 )
          @ ( X1 @ ( esk3_1 @ X1 ) ) ) ) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

thf(c_0_50,negated_conjecture,
    ! [X1: $i > $i > $o,X3: $i,X4: $i,X6: $i] :
      ( ( ( esk5_2
          @ ^ [Z0: $i,Z1: $i] : ( Z0 != X3 )
          @ ( X1 @ ( esk3_1 @ X1 ) ) )
        = X3 )
      | ( ( esk5_2 @ X1
          @ ^ [Z0: $i] : ( Z0 = X4 ) )
        = X4 )
      | ( ( esk3_1
          @ ^ [Z0: $i,Z1: $i] : ( Z0 != X3 ) )
        = X3 )
      | ~ ( X1 @ ( esk3_1 @ X1 ) @ X6 ) ),
    inference(spm,[status(thm)],[c_0_47,c_0_37]) ).

thf(c_0_51,hypothesis,
    ! [X3: $i,X1: $i > $i > $o] :
      ( ( ( esk5_2 @ X1
          @ ^ [Z0: $i] : ( Z0 = X3 ) )
        = X3 )
      | ( X1 @ ( esk3_1 @ X1 )
        @ ( esk5_2
          @ ^ [Z0: $i,Z1: $i] : ( Z0 != esk2_0 )
          @ ( X1 @ ( esk3_1 @ X1 ) ) ) ) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49])]) ).

thf(c_0_52,negated_conjecture,
    ! [X1: $i > $i > $o,X3: $i,X4: $i] :
      ( ( ( esk5_2
          @ ^ [Z0: $i,Z1: $i] : ( Z0 != X3 )
          @ ( X1 @ ( esk3_1 @ X1 ) ) )
        = X3 )
      | ( ( esk5_2 @ X1
          @ ^ [Z0: $i] : ( Z0 = X4 ) )
        = X4 ) ),
    inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_37])]),c_0_45]) ).

thf(c_0_53,negated_conjecture,
    ! [X4: $i,X3: $i,X1: $i > $i > $o,X7: $i > $o,X6: $i,X9: $i,X10: $i,X12: $i] :
      ( ( epred1_2 @ X1 @ X6 @ X9 @ X12 )
      | ( X1 @ X6 @ ( esk4_2 @ X1 @ X6 ) )
      | ~ ( X7 @ X3 )
      | ~ ( X1 @ ( esk5_2 @ X1 @ X7 ) @ X3 )
      | ~ ( X7 @ X4 )
      | ~ ( epred1_2 @ X1 @ X6 @ X9 @ X10 )
      | ~ ( epred1_2 @ X1 @ X6 @ X10 @ X12 ) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

thf(c_0_54,hypothesis,
    ! [X3: $i,X1: $i > $i > $o] :
      ( ( ( esk5_2 @ X1
          @ ^ [Z0: $i] : ( Z0 = X3 ) )
        = X3 )
      | ( X1 @ ( esk3_1 @ X1 ) @ esk2_0 ) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52])]) ).

thf(c_0_55,negated_conjecture,
    ! [X3: $i,X4: $i,X6: $i,X9: $i] :
      ( ( ( esk5_2
          @ ^ [Z0: $i,Z1: $i] : ( Z0 = X3 )
          @ ^ [Z0: $i] : ( Z0 = X4 ) )
        = X4 )
      | ( X6 = X3 )
      | ( epred1_2
        @ ^ [Z0: $i,Z1: $i] : ( Z0 = X3 )
        @ X6
        @ X3
        @ X9 ) ),
    inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_28]) ).

thf(c_0_56,negated_conjecture,
    ! [X1: $i > $i > $o,X3: $i,X2: $i > $i > $o] :
      ( ( ( esk5_2 @ X1
          @ ^ [Z0: $i] : ( Z0 = X3 ) )
        = X3 )
      | ( X1 @ ( esk3_1 @ X1 ) @ ( esk5_2 @ X2 @ ( X1 @ ( esk3_1 @ X1 ) ) ) )
      | ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_2 @ X2 @ ( esk3_1 @ X2 ) ) ) ),
    inference(spm,[status(thm)],[c_0_33,c_0_37]) ).

thf(c_0_57,negated_conjecture,
    ! [X3: $i,X1: $i > $i > $o,X4: $i,X6: $i] :
      ( ( ( esk5_2 @ X1
          @ ^ [Z0: $i] : ( Z0 = X3 ) )
        = X3 )
      | ( X4 = X6 )
      | ( X1 @ ( esk3_1 @ X1 ) @ X6 ) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_52])]) ).

thf(c_0_58,negated_conjecture,
    ! [X4: $i,X3: $i,X1: $i > $i > $o,X6: $i,X9: $i,X10: $i] :
      ( ( X1 @ ( esk3_1 @ X1 ) @ esk2_0 )
      | ( epred1_2 @ X1 @ X3 @ X4 @ X6 )
      | ( X1 @ X3 @ ( esk4_2 @ X1 @ X3 ) )
      | ~ ( epred1_2 @ X1 @ X3 @ X9 @ X6 )
      | ~ ( epred1_2 @ X1 @ X3 @ X4 @ X9 )
      | ~ ( X1 @ X10 @ X10 ) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54])])])]) ).

thf(c_0_59,negated_conjecture,
    ! [X3: $i,X4: $i,X6: $i] :
      ( ( X3 = X4 )
      | ( epred1_2
        @ ^ [Z0: $i,Z1: $i] : ( Z0 = X4 )
        @ X3
        @ X4
        @ X6 ) ),
    inference(condense,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_55])])])])])])]) ).

thf(c_0_60,negated_conjecture,
    ! [X1: $i > $i > $o,X3: $i,X4: $i] :
      ( ( ( esk5_2 @ X1
          @ ^ [Z0: $i] : ( Z0 = X3 ) )
        = X3 )
      | ( X1 @ ( esk3_1 @ X1 ) @ X4 ) ),
    inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_52])])]),c_0_57]) ).

thf(c_0_61,negated_conjecture,
    ! [X9: $i,X6: $i,X4: $i,X3: $i] :
      ( ( ( esk3_1
          @ ^ [Z0: $i,Z1: $i] : ( Z0 = X3 ) )
        = X3 )
      | ( X4 = X3 )
      | ( epred1_2
        @ ^ [Z0: $i,Z1: $i] : ( Z0 = X3 )
        @ X4
        @ X6
        @ X9 )
      | ~ ( epred1_2
          @ ^ [Z0: $i,Z1: $i] : ( Z0 = X3 )
          @ X4
          @ X6
          @ X3 ) ),
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59])])])]) ).

thf(c_0_62,negated_conjecture,
    ! [X3: $i,X1: $i > $i > $o,X6: $i,X4: $i] :
      ( ( ( esk5_2 @ X1
          @ ^ [Z0: $i] : ( Z0 = X3 ) )
        = X3 )
      | ( epred1_2 @ X1 @ X4 @ ( esk3_1 @ X1 ) @ X6 )
      | ( X1 @ X4 @ ( esk4_2 @ X1 @ X4 ) ) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_60])]) ).

thf(c_0_63,negated_conjecture,
    ! [X3: $i,X4: $i,X6: $i,X9: $i] :
      ( ( ( esk5_2
          @ ^ [Z0: $i,Z1: $i] : ( Z0 = X3 )
          @ ^ [Z0: $i] : ( Z0 = X4 ) )
        = X4 )
      | ( ( esk3_1
          @ ^ [Z0: $i,Z1: $i] : ( Z0 = X3 ) )
        = X3 )
      | ( X6 = X3 )
      | ( epred1_2
        @ ^ [Z0: $i,Z1: $i] : ( Z0 = X3 )
        @ X6
        @ ( esk3_1
          @ ^ [Z0: $i,Z1: $i] : ( Z0 = X3 ) )
        @ X9 ) ),
    inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62])])]) ).

thf(c_0_64,negated_conjecture,
    ! [X3: $i,X4: $i,X6: $i,X7: $i > $o,X9: $i] :
      ( ( ( esk5_2
          @ ^ [Z0: $i,Z1: $i] : ( Z0 = X3 )
          @ ^ [Z0: $i] : ( Z0 = X4 ) )
        = X4 )
      | ( ( esk3_1
          @ ^ [Z0: $i,Z1: $i] : ( Z0 = X3 ) )
        = X3 )
      | ( ( esk5_2
          @ ^ [Z0: $i,Z1: $i] : ( Z0 = X3 )
          @ X7 )
       != X3 )
      | ~ ( X7 @ X6 )
      | ~ ( X7 @ X9 ) ),
    inference(condense,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_63])])])]) ).

thf(c_0_65,negated_conjecture,
    ! [X4: $i,X3: $i] :
      ( ( ( esk5_2
          @ ^ [Z0: $i,Z1: $i] : ( Z0 = X3 )
          @ ^ [Z0: $i] : ( Z0 = X4 ) )
        = X4 )
      | ( ( esk3_1
          @ ^ [Z0: $i,Z1: $i] : ( Z0 = X3 ) )
        = X3 ) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_60])])])])])]) ).

thf(c_0_66,negated_conjecture,
    ! [X3: $i] :
      ( ( esk3_1
        @ ^ [Z0: $i,Z1: $i] : ( Z0 = X3 ) )
      = X3 ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_65])])])])])]) ).

thf(c_0_67,negated_conjecture,
    ! [X6: $i,X4: $i,X3: $i] :
      ( ( ( esk5_2
          @ ^ [Z0: $i,Z1: $i] : ( Z0 = X3 )
          @ ^ [Z0: $i] : ( Z0 = X4 ) )
        = X4 )
      | ( X6 = X3 ) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_66])]),c_0_59]) ).

thf(c_0_68,negated_conjecture,
    ! [X3: $i,X4: $i,X6: $i,X7: $i > $o,X9: $i] :
      ( ( X3 = X4 )
      | ( ( esk5_2
          @ ^ [Z0: $i,Z1: $i] : ( Z0 = X4 )
          @ X7 )
       != X4 )
      | ~ ( X7 @ X6 )
      | ~ ( X7 @ X9 ) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_66])]),c_0_59]) ).

thf(c_0_69,negated_conjecture,
    ! [X3: $i] :
      ( ( esk5_2
        @ ^ [Z0: $i,Z1: $i] : ( Z0 = X3 )
        @ ^ [Z0: $i] : ( Z0 = X3 ) )
      = X3 ),
    inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_67])]) ).

thf(c_0_70,negated_conjecture,
    ! [X3: $i,X4: $i] : ( X3 = X4 ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69])])])]) ).

thf(c_0_71,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_48,c_0_70]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU482^1 : TPTP v9.3.1. Bugfixed v3.7.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n015.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Tue Sep 29 13:46:47 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running higher-order theorem proving
% 0.08/0.23  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/tmp/tmp.eNhnb0UYB5/E---3.1_3547534.p
% 0.19/0.26  % Type mismatch for $false @ Z-2 @ Z-1 and type $o
% 0.19/0.26  eprover: Type error
% 0.19/0.26  % Type mismatch for $false @ Z-2 @ Z-1 and type $o
% 0.19/0.26  eprover: Type error
% 32.76/8.44  % Version: 3.5.1-ho
% 32.76/8.44  % Preprocessing class: HSMSSMSSMLSNHSN.
% 32.76/8.44  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.76/8.44  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 32.76/8.44  % Starting post_as_ho3 with 300s (1) cores
% 32.76/8.44  % Starting post_as_ho11 with 300s (1) cores
% 32.76/8.44  % Starting full_lambda_8 with 300s (1) cores
% 32.76/8.44  % full_lambda_8 with pid 3547550 completed with status 0
% 32.76/8.44  % Result found by full_lambda_8
% 32.76/8.44  % Preprocessing class: HSMSSMSSMLSNHSN.
% 32.76/8.44  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.76/8.44  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 32.76/8.44  % Starting post_as_ho3 with 300s (1) cores
% 32.76/8.44  % Starting post_as_ho11 with 300s (1) cores
% 32.76/8.44  % Starting full_lambda_8 with 300s (1) cores
% 32.76/8.44  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 32.76/8.44  % No SInE strategy applied
% 32.76/8.44  % Search class: HGUSF-FFSF21-SHSSMMBN
% 32.76/8.44  % partial match(2): HGUNF-FFSF22-SHSSMMBN
% 32.76/8.44  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 32.76/8.44  % Starting SubtermCWHack with 28s (1) cores
% 32.76/8.44  % SubtermCWHack with pid 3547556 completed with status 10
% 32.76/8.44  % Starting full_lambda_8 with 31s (1) cores
% 32.76/8.44  % full_lambda_8 with pid 3547563 completed with status 0
% 32.76/8.44  % Result found by full_lambda_8
% 32.76/8.44  % Preprocessing class: HSMSSMSSMLSNHSN.
% 32.76/8.44  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.76/8.44  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 32.76/8.44  % Starting post_as_ho3 with 300s (1) cores
% 32.76/8.44  % Starting post_as_ho11 with 300s (1) cores
% 32.76/8.44  % Starting full_lambda_8 with 300s (1) cores
% 32.76/8.44  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 32.76/8.44  % No SInE strategy applied
% 32.76/8.44  % Search class: HGUSF-FFSF21-SHSSMMBN
% 32.76/8.44  % partial match(2): HGUNF-FFSF22-SHSSMMBN
% 32.76/8.44  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 32.76/8.44  % Starting SubtermCWHack with 28s (1) cores
% 32.76/8.44  % SubtermCWHack with pid 3547556 completed with status 10
% 32.76/8.44  % Starting full_lambda_8 with 31s (1) cores
% 32.76/8.44  % Preprocessing time       : 0.001 s
% 32.76/8.44  % Presaturation interreduction done
% 32.76/8.44  
% 32.76/8.44  % Proof found!
% 32.76/8.44  % SZS status Theorem
% 32.76/8.44  % SZS output start CNFRefutation
% See solution above
% 32.76/8.44  % Parsed axioms                        : 60
% 32.76/8.44  % Removed by relevancy pruning/SinE    : 0
% 32.76/8.44  % Initial clauses                      : 38
% 32.76/8.44  % Removed in clause preprocessing      : 29
% 32.76/8.44  % Initial clauses in saturation        : 9
% 32.76/8.44  % Processed clauses                    : 1813
% 32.76/8.44  % ...of these trivial                  : 18
% 32.76/8.44  % ...subsumed                          : 1193
% 32.76/8.44  % ...remaining for further processing  : 602
% 32.76/8.44  % Other redundant clauses eliminated   : 3005
% 32.76/8.44  % Clauses deleted for lack of memory   : 0
% 32.76/8.44  % Backward-subsumed                    : 295
% 32.76/8.44  % Backward-rewritten                   : 276
% 32.76/8.44  % Generated clauses                    : 54792
% 32.76/8.44  % ...of the previous two non-redundant : 48520
% 32.76/8.44  % ...aggressively subsumed             : 0
% 32.76/8.44  % Contextual simplify-reflections      : 35
% 32.76/8.44  % Paramodulations                      : 51572
% 32.76/8.44  % Factorizations                       : 192
% 32.76/8.44  % NegExts                              : 0
% 32.76/8.44  % Equation resolutions                 : 3005
% 32.76/8.44  % Disequality decompositions           : 0
% 32.76/8.44  % Total rewrite steps                  : 4832
% 32.76/8.44  % ...of those cached                   : 4355
% 32.76/8.44  % Propositional unsat checks           : 0
% 32.76/8.44  %    Propositional check models        : 0
% 32.76/8.44  %    Propositional check unsatisfiable : 0
% 32.76/8.44  %    Propositional clauses             : 0
% 32.76/8.44  %    Propositional clauses after purity: 0
% 32.76/8.44  %    Propositional unsat core size     : 0
% 32.76/8.44  %    Propositional preprocessing time  : 0.000
% 32.76/8.44  %    Propositional encoding time       : 0.000
% 32.76/8.44  %    Propositional solver time         : 0.000
% 32.76/8.44  %    Success case prop preproc time    : 0.000
% 32.76/8.44  %    Success case prop encoding time   : 0.000
% 32.76/8.44  %    Success case prop solver time     : 0.000
% 32.76/8.44  % Current number of processed clauses  : 19
% 32.76/8.44  %    Positive orientable unit clauses  : 0
% 32.76/8.44  %    Positive unorientable unit clauses: 1
% 32.76/8.44  %    Negative unit clauses             : 0
% 32.76/8.44  %    Non-unit-clauses                  : 18
% 32.76/8.44  % Current number of unprocessed clauses: 40731
% 32.76/8.44  % ...number of literals in the above   : 231157
% 32.76/8.44  % Current number of archived formulas  : 0
% 32.76/8.44  % Current number of archived clauses   : 581
% 32.76/8.44  % Clause-clause subsumption calls (NU) : 35014
% 32.76/8.44  % Rec. Clause-clause subsumption calls : 10663
% 32.76/8.44  % Non-unit clause-clause subsumptions  : 1830
% 32.76/8.44  % Unit Clause-clause subsumption calls : 565
% 32.76/8.44  % Rewrite failures with RHS unbound    : 0
% 32.76/8.44  % BW rewrite match attempts            : 1043
% 32.76/8.44  % BW rewrite match successes           : 295
% 32.76/8.44  % Condensation attempts                : 1813
% 32.76/8.44  % Condensation successes               : 330
% 32.76/8.44  % Termbank termtop insertions          : 6836750
% 32.76/8.44  % Search garbage collected termcells   : 912
% 32.76/8.44  
% 32.76/8.44  % -------------------------------------------------
% 32.76/8.44  % User time                : 8.111 s
% 32.76/8.44  % System time              : 0.049 s
% 32.76/8.44  % Total time               : 8.161 s
% 32.76/8.44  % Maximum resident set size: 3944 pages
% 32.76/8.44  
% 32.76/8.44  % -------------------------------------------------
% 32.76/8.44  % User time                : 8.114 s
% 32.76/8.44  % System time              : 0.055 s
% 32.76/8.44  % Total time               : 8.168 s
% 32.76/8.44  % Maximum resident set size: 4864 pages
% 32.76/8.44  % E exiting
%------------------------------------------------------------------------------