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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SYO067^4.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 08:43:44 AM UTC 2026

% Result   : Theorem 0.20s 0.29s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   53 (  27 unt;   0 typ;   0 def)
%            Number of atoms       :  173 (  19 equ;   0 cnn)
%            Maximal formula atoms :   22 (   3 avg)
%            Number of connectives :  381 (  40   ~;  62   |;   7   &; 255   @)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   2 con; 0-3 aty)
%            Number of variables   :  108 (  42   ^;  66   !;   0   ?; 108   :)

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

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_28,type,
    mbox_s4: ( $i > $o ) > $i > $o ).

thf(decl_29,type,
    iatom: ( $i > $o ) > $i > $o ).

thf(decl_34,type,
    ior: ( $i > $o ) > ( $i > $o ) > $i > $o ).

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

thf(decl_39,type,
    ivalid: ( $i > $o ) > $o ).

thf(decl_43,type,
    f: $i > $o ).

thf(decl_44,type,
    p1: $i > $o ).

thf(decl_45,type,
    esk1_1: $i > $i ).

thf(decl_46,type,
    esk2_1: $i > $i ).

thf(decl_47,type,
    esk3_1: $i > $i ).

thf(decl_48,type,
    esk4_1: $i > $i ).

thf(decl_49,type,
    esk5_0: $i ).

thf(mimplies,axiom,
    ( mimplies
    = ( ^ [X10: $i > $o,X11: $i > $o] : ( mor @ ( mnot @ X10 ) @ X11 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.JHe7OhDpTj/E---3.1_1513428.p',mimplies) ).

thf(mnot,axiom,
    ( mnot
    = ( ^ [X4: $i > $o,X5: $i] :
          ~ ( X4 @ X5 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.JHe7OhDpTj/E---3.1_1513428.p',mnot) ).

thf(mor,axiom,
    ( mor
    = ( ^ [X6: $i > $o,X7: $i > $o,X5: $i] :
          ( ( X6 @ X5 )
          | ( X7 @ X5 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.JHe7OhDpTj/E---3.1_1513428.p',mor) ).

thf(ior,axiom,
    ( ior
    = ( ^ [X12: $i > $o,X14: $i > $o] : ( mor @ ( mbox_s4 @ X12 ) @ ( mbox_s4 @ X14 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.JHe7OhDpTj/E---3.1_1513428.p',ior) ).

thf(mbox_s4,axiom,
    ( mbox_s4
    = ( ^ [X12: $i > $o,X1: $i] :
        ! [X2: $i] :
          ( ( irel @ X1 @ X2 )
         => ( X12 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.JHe7OhDpTj/E---3.1_1513428.p',mbox_s4) ).

thf(iimplies,axiom,
    ( iimplies
    = ( ^ [X12: $i > $o,X14: $i > $o] : ( mimplies @ ( mbox_s4 @ X12 ) @ ( mbox_s4 @ X14 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.JHe7OhDpTj/E---3.1_1513428.p',iimplies) ).

thf(iatom,axiom,
    ( iatom
    = ( ^ [X12: $i > $o] : X12 ) ),
    file('/export/starexec/sandbox/tmp/tmp.JHe7OhDpTj/E---3.1_1513428.p',iatom) ).

thf(ivalid,axiom,
    ( ivalid
    = ( ^ [X15: $i > $o] :
        ! [X13: $i] : ( X15 @ X13 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.JHe7OhDpTj/E---3.1_1513428.p',ivalid) ).

thf(axiom1,axiom,
    ivalid @ ( iimplies @ ( ior @ ( iatom @ p1 ) @ ( iimplies @ ( iatom @ p1 ) @ ( iatom @ f ) ) ) @ ( iatom @ f ) ),
    file('/export/starexec/sandbox/tmp/tmp.JHe7OhDpTj/E---3.1_1513428.p',axiom1) ).

thf(refl_axiom,axiom,
    ! [X1: $i] : ( irel @ X1 @ X1 ),
    file('/export/starexec/sandbox/tmp/tmp.JHe7OhDpTj/E---3.1_1513428.p',refl_axiom) ).

thf(trans_axiom,axiom,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ( ( irel @ X1 @ X2 )
        & ( irel @ X2 @ X3 ) )
     => ( irel @ X1 @ X3 ) ),
    file('/export/starexec/sandbox/tmp/tmp.JHe7OhDpTj/E---3.1_1513428.p',trans_axiom) ).

thf(con,conjecture,
    ivalid @ ( iatom @ f ),
    file('/export/starexec/sandbox/tmp/tmp.JHe7OhDpTj/E---3.1_1513428.p',con) ).

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

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

thf(c_0_14,plain,
    ( mor
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mor]) ).

thf(c_0_15,plain,
    ( ior
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ! [X22: $i] :
              ( ( irel @ Z2 @ X22 )
             => ( Z0 @ X22 ) )
          | ! [X23: $i] :
              ( ( irel @ Z2 @ X23 )
             => ( Z1 @ X23 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[ior]) ).

thf(c_0_16,plain,
    ( mbox_s4
    = ( ^ [Z0: $i > $o,Z1: $i] :
        ! [X2: $i] :
          ( ( irel @ Z1 @ X2 )
         => ( Z0 @ X2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mbox_s4]) ).

thf(c_0_17,plain,
    ( iimplies
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ~ ! [X24: $i] :
                ( ( irel @ Z2 @ X24 )
               => ( Z0 @ X24 ) )
          | ! [X25: $i] :
              ( ( irel @ Z2 @ X25 )
             => ( Z1 @ X25 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[iimplies]) ).

thf(c_0_18,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_12,c_0_13]),c_0_14]) ).

thf(c_0_19,plain,
    ( iatom
    = ( ^ [Z0: $i > $o] : Z0 ) ),
    inference(fof_simplification,[status(thm)],[iatom]) ).

thf(c_0_20,plain,
    ( ior
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ! [X22: $i] :
              ( ( irel @ Z2 @ X22 )
             => ( Z0 @ X22 ) )
          | ! [X23: $i] :
              ( ( irel @ Z2 @ X23 )
             => ( Z1 @ X23 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_15,c_0_14]),c_0_16]) ).

thf(c_0_21,plain,
    ( iimplies
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ~ ! [X24: $i] :
                ( ( irel @ Z2 @ X24 )
               => ( Z0 @ X24 ) )
          | ! [X25: $i] :
              ( ( irel @ Z2 @ X25 )
             => ( Z1 @ X25 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_17,c_0_18]),c_0_16]) ).

thf(c_0_22,plain,
    ( ivalid
    = ( ^ [Z0: $i > $o] :
        ! [X13: $i] : ( Z0 @ X13 ) ) ),
    inference(fof_simplification,[status(thm)],[ivalid]) ).

thf(c_0_23,plain,
    ! [X43: $i] :
      ( ~ ! [X41: $i] :
            ( ( irel @ X43 @ X41 )
           => ( ! [X39: $i] :
                  ( ( irel @ X41 @ X39 )
                 => ( p1 @ X39 ) )
              | ! [X40: $i] :
                  ( ( irel @ X41 @ X40 )
                 => ( ~ ! [X37: $i] :
                          ( ( irel @ X40 @ X37 )
                         => ( p1 @ X37 ) )
                    | ! [X38: $i] :
                        ( ( irel @ X40 @ X38 )
                       => ( f @ X38 ) ) ) ) ) )
      | ! [X42: $i] :
          ( ( irel @ X43 @ X42 )
         => ( f @ X42 ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom1,c_0_19]),c_0_20]),c_0_21]),c_0_22]) ).

thf(c_0_24,plain,
    ! [X49: $i,X53: $i,X55: $i] :
      ( ( ( irel @ X49 @ ( esk1_1 @ X49 ) )
        | ~ ( irel @ X49 @ X55 )
        | ( f @ X55 ) )
      & ( ( irel @ ( esk1_1 @ X49 ) @ ( esk2_1 @ X49 ) )
        | ~ ( irel @ X49 @ X55 )
        | ( f @ X55 ) )
      & ( ~ ( p1 @ ( esk2_1 @ X49 ) )
        | ~ ( irel @ X49 @ X55 )
        | ( f @ X55 ) )
      & ( ( irel @ ( esk1_1 @ X49 ) @ ( esk3_1 @ X49 ) )
        | ~ ( irel @ X49 @ X55 )
        | ( f @ X55 ) )
      & ( ~ ( irel @ ( esk3_1 @ X49 ) @ X53 )
        | ( p1 @ X53 )
        | ~ ( irel @ X49 @ X55 )
        | ( f @ X55 ) )
      & ( ( irel @ ( esk3_1 @ X49 ) @ ( esk4_1 @ X49 ) )
        | ~ ( irel @ X49 @ X55 )
        | ( f @ X55 ) )
      & ( ~ ( f @ ( esk4_1 @ X49 ) )
        | ~ ( irel @ X49 @ X55 )
        | ( f @ X55 ) ) ),
    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_23])])])])])]) ).

thf(c_0_25,plain,
    ! [X45: $i] : ( irel @ X45 @ X45 ),
    inference(variable_rename,[status(thm)],[refl_axiom]) ).

thf(c_0_26,plain,
    ! [X46: $i,X47: $i,X48: $i] :
      ( ~ ( irel @ X46 @ X47 )
      | ~ ( irel @ X47 @ X48 )
      | ( irel @ X46 @ X48 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[trans_axiom])])]) ).

thf(c_0_27,plain,
    ! [X1: $i,X2: $i] :
      ( ( irel @ ( esk1_1 @ X1 ) @ ( esk2_1 @ X1 ) )
      | ( f @ X2 )
      | ~ ( irel @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_28,plain,
    ! [X1: $i] : ( irel @ X1 @ X1 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

thf(c_0_29,plain,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ( irel @ X1 @ X3 )
      | ~ ( irel @ X1 @ X2 )
      | ~ ( irel @ X2 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

thf(c_0_30,plain,
    ! [X1: $i] :
      ( ( irel @ ( esk1_1 @ X1 ) @ ( esk2_1 @ X1 ) )
      | ( f @ X1 ) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

thf(c_0_31,plain,
    ! [X1: $i,X2: $i] :
      ( ( irel @ X1 @ ( esk1_1 @ X1 ) )
      | ( f @ X2 )
      | ~ ( irel @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_32,plain,
    ! [X1: $i,X2: $i] :
      ( ( irel @ X1 @ ( esk2_1 @ X2 ) )
      | ( f @ X2 )
      | ~ ( irel @ X1 @ ( esk1_1 @ X2 ) ) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

thf(c_0_33,plain,
    ! [X1: $i] :
      ( ( irel @ X1 @ ( esk1_1 @ X1 ) )
      | ( f @ X1 ) ),
    inference(spm,[status(thm)],[c_0_31,c_0_28]) ).

thf(c_0_34,plain,
    ! [X1: $i] :
      ( ( irel @ X1 @ ( esk2_1 @ X1 ) )
      | ( f @ X1 ) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

thf(c_0_35,plain,
    ! [X1: $i,X2: $i] :
      ( ( irel @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
      | ( f @ X2 )
      | ~ ( irel @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_36,plain,
    ! [X1: $i,X2: $i] :
      ( ( irel @ X1 @ ( esk2_1 @ X2 ) )
      | ( f @ X2 )
      | ~ ( irel @ X1 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_29,c_0_34]) ).

thf(c_0_37,plain,
    ! [X1: $i] :
      ( ( irel @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
      | ( f @ X1 ) ),
    inference(spm,[status(thm)],[c_0_35,c_0_28]) ).

thf(c_0_38,plain,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ( p1 @ X2 )
      | ( f @ X3 )
      | ~ ( irel @ ( esk3_1 @ X1 ) @ X2 )
      | ~ ( irel @ X1 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_39,plain,
    ! [X1: $i] :
      ( ( irel @ ( esk3_1 @ X1 ) @ ( esk2_1 @ ( esk4_1 @ X1 ) ) )
      | ( f @ ( esk4_1 @ X1 ) )
      | ( f @ X1 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

thf(c_0_40,plain,
    ! [X1: $i,X2: $i] :
      ( ( f @ X2 )
      | ~ ( f @ ( esk4_1 @ X1 ) )
      | ~ ( irel @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_41,plain,
    ! [X1: $i,X2: $i] :
      ( ( p1 @ ( esk2_1 @ ( esk4_1 @ X1 ) ) )
      | ( f @ X1 )
      | ( f @ X2 )
      | ~ ( irel @ X1 @ X2 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).

thf(c_0_42,plain,
    ! [X1: $i,X2: $i] :
      ( ( f @ X2 )
      | ~ ( p1 @ ( esk2_1 @ X1 ) )
      | ~ ( irel @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_43,plain,
    ! [X1: $i] :
      ( ( p1 @ ( esk2_1 @ ( esk4_1 @ X1 ) ) )
      | ( f @ X1 ) ),
    inference(spm,[status(thm)],[c_0_41,c_0_28]) ).

thf(c_0_44,negated_conjecture,
    ~ ( ivalid @ ( iatom @ f ) ),
    inference(assume_negation,[status(cth)],[con]) ).

thf(c_0_45,plain,
    ! [X1: $i,X2: $i] :
      ( ( f @ X1 )
      | ( f @ X2 )
      | ~ ( irel @ ( esk4_1 @ X1 ) @ X2 ) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

thf(c_0_46,negated_conjecture,
    ~ ! [X44: $i] : ( f @ X44 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_44,c_0_19]),c_0_22]) ).

thf(c_0_47,plain,
    ! [X1: $i] :
      ( ( f @ ( esk4_1 @ X1 ) )
      | ( f @ X1 ) ),
    inference(spm,[status(thm)],[c_0_45,c_0_28]) ).

thf(c_0_48,negated_conjecture,
    ~ ( f @ esk5_0 ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])]) ).

thf(c_0_49,plain,
    ! [X1: $i,X2: $i] :
      ( ( f @ X1 )
      | ( f @ X2 )
      | ~ ( irel @ X1 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_40,c_0_47]) ).

thf(c_0_50,negated_conjecture,
    ~ ( f @ esk5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

thf(c_0_51,plain,
    ! [X1: $i] : ( f @ X1 ),
    inference(spm,[status(thm)],[c_0_49,c_0_28]) ).

thf(c_0_52,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYO067^4.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17  % Computer : n004.cluster.edu
% 0.08/0.17  % Model    : x86_64 x86_64
% 0.08/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17  % Memory   : 8046.5625MB
% 0.08/0.17  % OS       : Linux 6.8.0-71-generic
% 0.08/0.17  % CPULimit : 300
% 0.08/0.17  % WCLimit  : 300
% 0.08/0.17  % DateTime : Tue Sep 29 16:29:14 UTC 2026
% 0.08/0.17  % CPUTime  : 
% 0.08/0.17  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.JHe7OhDpTj/E---3.1_1513428.p
% 0.20/0.29  % Version: 3.5.1-ho
% 0.20/0.29  % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.20/0.29  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.29  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.20/0.29  % Starting post_as_ho3 with 300s (1) cores
% 0.20/0.29  % Starting post_as_ho11 with 300s (1) cores
% 0.20/0.29  % Starting full_lambda_8 with 300s (1) cores
% 0.20/0.29  % new_ho_10_cnf2 with pid 1513452 completed with status 0
% 0.20/0.29  % Result found by new_ho_10_cnf2
% 0.20/0.29  % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.20/0.29  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.29  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.20/0.29  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.29  % No SInE strategy applied
% 0.20/0.29  % Search class: HGUNF-FFSF11-SHSSMFNN
% 0.20/0.29  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.29  % Starting SubtermCWHack with 136s (1) cores
% 0.20/0.29  % Starting new_ho_10_cnf2 with 151s (1) cores
% 0.20/0.29  % Starting post_as_ho11 with 136s (1) cores
% 0.20/0.29  % Starting post_as_ho1 with 136s (1) cores
% 0.20/0.29  % Starting lpo5_fix with 136s (1) cores
% 0.20/0.29  % post_as_ho1 with pid 1513463 completed with status 0
% 0.20/0.29  % Result found by post_as_ho1
% 0.20/0.29  % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.20/0.29  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.29  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.20/0.29  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.29  % No SInE strategy applied
% 0.20/0.29  % Search class: HGUNF-FFSF11-SHSSMFNN
% 0.20/0.29  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.29  % Starting SubtermCWHack with 136s (1) cores
% 0.20/0.29  % Starting new_ho_10_cnf2 with 151s (1) cores
% 0.20/0.29  % Starting post_as_ho11 with 136s (1) cores
% 0.20/0.29  % Starting post_as_ho1 with 136s (1) cores
% 0.20/0.29  % Preprocessing time       : 0.001 s
% 0.20/0.29  % Presaturation interreduction done
% 0.20/0.29  
% 0.20/0.29  % Proof found!
% 0.20/0.29  % SZS status Theorem
% 0.20/0.29  % SZS output start CNFRefutation
% See solution above
% 0.20/0.29  % Parsed axioms                        : 45
% 0.20/0.29  % Removed by relevancy pruning/SinE    : 0
% 0.20/0.29  % Initial clauses                      : 32
% 0.20/0.29  % Removed in clause preprocessing      : 22
% 0.20/0.29  % Initial clauses in saturation        : 10
% 0.20/0.29  % Processed clauses                    : 197
% 0.20/0.29  % ...of these trivial                  : 0
% 0.20/0.29  % ...subsumed                          : 94
% 0.20/0.29  % ...remaining for further processing  : 103
% 0.20/0.29  % Other redundant clauses eliminated   : 0
% 0.20/0.29  % Clauses deleted for lack of memory   : 0
% 0.20/0.29  % Backward-subsumed                    : 19
% 0.20/0.29  % Backward-rewritten                   : 71
% 0.20/0.29  % Generated clauses                    : 1141
% 0.20/0.29  % ...of the previous two non-redundant : 1140
% 0.20/0.29  % ...aggressively subsumed             : 0
% 0.20/0.29  % Contextual simplify-reflections      : 1
% 0.20/0.29  % Paramodulations                      : 1141
% 0.20/0.29  % Factorizations                       : 0
% 0.20/0.29  % NegExts                              : 0
% 0.20/0.29  % Equation resolutions                 : 0
% 0.20/0.29  % Disequality decompositions           : 0
% 0.20/0.29  % Total rewrite steps                  : 115
% 0.20/0.29  % ...of those cached                   : 105
% 0.20/0.29  % Propositional unsat checks           : 0
% 0.20/0.29  %    Propositional check models        : 0
% 0.20/0.29  %    Propositional check unsatisfiable : 0
% 0.20/0.29  %    Propositional clauses             : 0
% 0.20/0.29  %    Propositional clauses after purity: 0
% 0.20/0.29  %    Propositional unsat core size     : 0
% 0.20/0.29  %    Propositional preprocessing time  : 0.000
% 0.20/0.29  %    Propositional encoding time       : 0.000
% 0.20/0.29  %    Propositional solver time         : 0.000
% 0.20/0.29  %    Success case prop preproc time    : 0.000
% 0.20/0.29  %    Success case prop encoding time   : 0.000
% 0.20/0.29  %    Success case prop solver time     : 0.000
% 0.20/0.29  % Current number of processed clauses  : 3
% 0.20/0.29  %    Positive orientable unit clauses  : 2
% 0.20/0.29  %    Positive unorientable unit clauses: 0
% 0.20/0.29  %    Negative unit clauses             : 0
% 0.20/0.29  %    Non-unit-clauses                  : 1
% 0.20/0.29  % Current number of unprocessed clauses: 950
% 0.20/0.29  % ...number of literals in the above   : 4240
% 0.20/0.29  % Current number of archived formulas  : 0
% 0.20/0.29  % Current number of archived clauses   : 100
% 0.20/0.29  % Clause-clause subsumption calls (NU) : 1330
% 0.20/0.29  % Rec. Clause-clause subsumption calls : 712
% 0.20/0.29  % Non-unit clause-clause subsumptions  : 114
% 0.20/0.29  % Unit Clause-clause subsumption calls : 0
% 0.20/0.29  % Rewrite failures with RHS unbound    : 0
% 0.20/0.29  % BW rewrite match attempts            : 10
% 0.20/0.29  % BW rewrite match successes           : 10
% 0.20/0.29  % Condensation attempts                : 0
% 0.20/0.29  % Condensation successes               : 0
% 0.20/0.29  % Termbank termtop insertions          : 21819
% 0.20/0.29  % Search garbage collected termcells   : 635
% 0.20/0.29  
% 0.20/0.29  % -------------------------------------------------
% 0.20/0.29  % User time                : 0.018 s
% 0.20/0.29  % System time              : 0.003 s
% 0.20/0.29  % Total time               : 0.022 s
% 0.20/0.29  % Maximum resident set size: 3612 pages
% 0.20/0.29  
% 0.20/0.29  % -------------------------------------------------
% 0.20/0.29  % User time                : 0.067 s
% 0.20/0.29  % System time              : 0.015 s
% 0.20/0.29  % Total time               : 0.082 s
% 0.20/0.29  % Maximum resident set size: 4864 pages
% 0.20/0.29  % E exiting
%------------------------------------------------------------------------------