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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN978^4 : 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 : n001.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 08:41:05 AM UTC 2026

% Result   : Theorem 0.08s 0.28s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   49 (  29 unt;   0 typ;   0 def)
%            Number of atoms       :  177 (  24 equ;   0 cnn)
%            Maximal formula atoms :   29 (   3 avg)
%            Number of connectives :  372 (  49   ~;  48   |;  20   &; 234   @)
%                                         (   0 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   40 (  40   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   5 con; 0-3 aty)
%            Number of variables   :   96 (  56   ^;  40   !;   0   ?;  96   :)

% 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_26,type,
    mand: ( $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_33,type,
    iand: ( $i > $o ) > ( $i > $o ) > $i > $o ).

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

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

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

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

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

thf(decl_45,type,
    esk1_0: $i ).

thf(decl_46,type,
    esk2_0: $i ).

thf(decl_47,type,
    esk3_0: $i ).

thf(decl_48,type,
    esk4_0: $i ).

thf(mimplies,axiom,
    ( mimplies
    = ( ^ [X10: $i > $o,X11: $i > $o] : ( mor @ ( mnot @ X10 ) @ X11 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tBHyciV9QA/E---3.1_1446982.p',mimplies) ).

thf(mnot,axiom,
    ( mnot
    = ( ^ [X4: $i > $o,X5: $i] :
          ~ ( X4 @ X5 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tBHyciV9QA/E---3.1_1446982.p',mnot) ).

thf(mor,axiom,
    ( mor
    = ( ^ [X6: $i > $o,X7: $i > $o,X5: $i] :
          ( ( X6 @ X5 )
          | ( X7 @ X5 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tBHyciV9QA/E---3.1_1446982.p',mor) ).

thf(iand,axiom,
    ( iand
    = ( ^ [X12: $i > $o,X14: $i > $o] : ( mand @ X12 @ X14 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tBHyciV9QA/E---3.1_1446982.p',iand) ).

thf(mand,axiom,
    ( mand
    = ( ^ [X8: $i > $o,X9: $i > $o,X5: $i] :
          ( ( X8 @ X5 )
          & ( X9 @ X5 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tBHyciV9QA/E---3.1_1446982.p',mand) ).

thf(iimplies,axiom,
    ( iimplies
    = ( ^ [X12: $i > $o,X14: $i > $o] : ( mimplies @ ( mbox_s4 @ X12 ) @ ( mbox_s4 @ X14 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tBHyciV9QA/E---3.1_1446982.p',iimplies) ).

thf(mbox_s4,axiom,
    ( mbox_s4
    = ( ^ [X12: $i > $o,X1: $i] :
        ! [X2: $i] :
          ( ( irel @ X1 @ X2 )
         => ( X12 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tBHyciV9QA/E---3.1_1446982.p',mbox_s4) ).

thf(iequiv,axiom,
    ( iequiv
    = ( ^ [X12: $i > $o,X14: $i > $o] : ( iand @ ( iimplies @ X12 @ X14 ) @ ( iimplies @ X14 @ X12 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tBHyciV9QA/E---3.1_1446982.p',iequiv) ).

thf(prove_this,conjecture,
    ivalid @ ( iimplies @ ( iand @ ( iatom @ a ) @ ( iatom @ b ) ) @ ( iequiv @ ( iatom @ a ) @ ( iatom @ b ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tBHyciV9QA/E---3.1_1446982.p',prove_this) ).

thf(iatom,axiom,
    ( iatom
    = ( ^ [X12: $i > $o] : X12 ) ),
    file('/export/starexec/sandbox/tmp/tmp.tBHyciV9QA/E---3.1_1446982.p',iatom) ).

thf(ivalid,axiom,
    ( ivalid
    = ( ^ [X15: $i > $o] :
        ! [X13: $i] : ( X15 @ X13 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tBHyciV9QA/E---3.1_1446982.p',ivalid) ).

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.tBHyciV9QA/E---3.1_1446982.p',trans_axiom) ).

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,
    ( iand
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ( Z0 @ Z2 )
          & ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[iand]) ).

thf(c_0_16,plain,
    ( mand
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ( Z0 @ Z2 )
          & ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mand]) ).

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

thf(c_0_20,plain,
    ( iequiv
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ( ~ ! [X28: $i] :
                  ( ( irel @ Z2 @ X28 )
                 => ( Z0 @ X28 ) )
            | ! [X29: $i] :
                ( ( irel @ Z2 @ X29 )
               => ( Z1 @ X29 ) ) )
          & ( ~ ! [X30: $i] :
                  ( ( irel @ Z2 @ X30 )
                 => ( Z1 @ X30 ) )
            | ! [X31: $i] :
                ( ( irel @ Z2 @ X31 )
               => ( Z0 @ X31 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[iequiv]) ).

thf(c_0_21,plain,
    ( iand
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ( Z0 @ Z2 )
          & ( Z1 @ Z2 ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_15,c_0_16]) ).

thf(c_0_22,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_19]) ).

thf(c_0_23,negated_conjecture,
    ~ ( ivalid @ ( iimplies @ ( iand @ ( iatom @ a ) @ ( iatom @ b ) ) @ ( iequiv @ ( iatom @ a ) @ ( iatom @ b ) ) ) ),
    inference(assume_negation,[status(cth)],[prove_this]) ).

thf(c_0_24,plain,
    ( iatom
    = ( ^ [Z0: $i > $o] : Z0 ) ),
    inference(fof_simplification,[status(thm)],[iatom]) ).

thf(c_0_25,plain,
    ( iequiv
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ( ~ ! [X28: $i] :
                  ( ( irel @ Z2 @ X28 )
                 => ( Z0 @ X28 ) )
            | ! [X29: $i] :
                ( ( irel @ Z2 @ X29 )
               => ( Z1 @ X29 ) ) )
          & ( ~ ! [X30: $i] :
                  ( ( irel @ Z2 @ X30 )
                 => ( Z1 @ X30 ) )
            | ! [X31: $i] :
                ( ( irel @ Z2 @ X31 )
               => ( Z0 @ X31 ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).

thf(c_0_26,plain,
    ( ivalid
    = ( ^ [Z0: $i > $o] :
        ! [X13: $i] : ( Z0 @ X13 ) ) ),
    inference(fof_simplification,[status(thm)],[ivalid]) ).

thf(c_0_27,negated_conjecture,
    ~ ! [X43: $i] :
        ( ~ ! [X41: $i] :
              ( ( irel @ X43 @ X41 )
             => ( ( a @ X41 )
                & ( b @ X41 ) ) )
        | ! [X42: $i] :
            ( ( irel @ X43 @ X42 )
           => ( ( ~ ! [X37: $i] :
                      ( ( irel @ X42 @ X37 )
                     => ( a @ X37 ) )
                | ! [X38: $i] :
                    ( ( irel @ X42 @ X38 )
                   => ( b @ X38 ) ) )
              & ( ~ ! [X39: $i] :
                      ( ( irel @ X42 @ X39 )
                     => ( b @ X39 ) )
                | ! [X40: $i] :
                    ( ( irel @ X42 @ X40 )
                   => ( a @ X40 ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_23,c_0_24]),c_0_21]),c_0_22]),c_0_25]),c_0_26]) ).

thf(c_0_28,plain,
    ! [X45: $i,X46: $i,X47: $i] :
      ( ~ ( irel @ X45 @ X46 )
      | ~ ( irel @ X46 @ X47 )
      | ( irel @ X45 @ X47 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[trans_axiom])])]) ).

thf(c_0_29,negated_conjecture,
    ! [X49: $i,X51: $i,X53: $i] :
      ( ( ( a @ X49 )
        | ~ ( irel @ esk1_0 @ X49 ) )
      & ( ( b @ X49 )
        | ~ ( irel @ esk1_0 @ X49 ) )
      & ( irel @ esk1_0 @ esk2_0 )
      & ( ~ ( irel @ esk2_0 @ X53 )
        | ( b @ X53 )
        | ~ ( irel @ esk2_0 @ X51 )
        | ( a @ X51 ) )
      & ( ( irel @ esk2_0 @ esk4_0 )
        | ~ ( irel @ esk2_0 @ X51 )
        | ( a @ X51 ) )
      & ( ~ ( a @ esk4_0 )
        | ~ ( irel @ esk2_0 @ X51 )
        | ( a @ X51 ) )
      & ( ~ ( irel @ esk2_0 @ X53 )
        | ( b @ X53 )
        | ( irel @ esk2_0 @ esk3_0 ) )
      & ( ( irel @ esk2_0 @ esk4_0 )
        | ( irel @ esk2_0 @ esk3_0 ) )
      & ( ~ ( a @ esk4_0 )
        | ( irel @ esk2_0 @ esk3_0 ) )
      & ( ~ ( irel @ esk2_0 @ X53 )
        | ( b @ X53 )
        | ~ ( b @ esk3_0 ) )
      & ( ( irel @ esk2_0 @ esk4_0 )
        | ~ ( b @ esk3_0 ) )
      & ( ~ ( a @ esk4_0 )
        | ~ ( b @ esk3_0 ) ) ),
    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_27])])])])])]) ).

thf(c_0_30,plain,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ( irel @ X1 @ X3 )
      | ~ ( irel @ X1 @ X2 )
      | ~ ( irel @ X2 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

thf(c_0_31,negated_conjecture,
    ( ( irel @ esk2_0 @ esk4_0 )
    | ( irel @ esk2_0 @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

thf(c_0_32,negated_conjecture,
    ( ( irel @ esk2_0 @ esk3_0 )
    | ~ ( a @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

thf(c_0_33,negated_conjecture,
    ! [X1: $i] :
      ( ( a @ X1 )
      | ~ ( irel @ esk1_0 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

thf(c_0_34,negated_conjecture,
    ! [X1: $i] :
      ( ( irel @ esk2_0 @ esk3_0 )
      | ( irel @ X1 @ esk4_0 )
      | ~ ( irel @ X1 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

thf(c_0_35,negated_conjecture,
    irel @ esk1_0 @ esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

thf(c_0_36,negated_conjecture,
    ( ( irel @ esk2_0 @ esk3_0 )
    | ~ ( irel @ esk1_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

thf(c_0_37,negated_conjecture,
    ( ( irel @ esk2_0 @ esk4_0 )
    | ~ ( b @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

thf(c_0_38,negated_conjecture,
    ! [X1: $i] :
      ( ( b @ X1 )
      | ~ ( irel @ esk1_0 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

thf(c_0_39,negated_conjecture,
    irel @ esk2_0 @ esk3_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).

thf(c_0_40,negated_conjecture,
    ( ~ ( a @ esk4_0 )
    | ~ ( b @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

thf(c_0_41,negated_conjecture,
    ( ( irel @ esk2_0 @ esk4_0 )
    | ~ ( irel @ esk1_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

thf(c_0_42,negated_conjecture,
    ! [X1: $i] :
      ( ( irel @ X1 @ esk3_0 )
      | ~ ( irel @ X1 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_30,c_0_39]) ).

thf(c_0_43,negated_conjecture,
    ( ~ ( irel @ esk1_0 @ esk3_0 )
    | ~ ( a @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_40,c_0_38]) ).

thf(c_0_44,negated_conjecture,
    irel @ esk2_0 @ esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_35])]) ).

thf(c_0_45,negated_conjecture,
    ( ~ ( irel @ esk1_0 @ esk3_0 )
    | ~ ( irel @ esk1_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_43,c_0_33]) ).

thf(c_0_46,negated_conjecture,
    ! [X1: $i] :
      ( ( irel @ X1 @ esk4_0 )
      | ~ ( irel @ X1 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_30,c_0_44]) ).

thf(c_0_47,negated_conjecture,
    ~ ( irel @ esk1_0 @ esk3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_35])]) ).

thf(c_0_48,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_42]),c_0_35])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN978^4 : 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 : n001.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 16:25:20 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
% 0.08/0.24  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.tBHyciV9QA/E---3.1_1446982.p
% 0.08/0.28  % Version: 3.5.1-ho
% 0.08/0.28  % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.08/0.28  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.28  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.08/0.28  % Starting post_as_ho3 with 300s (1) cores
% 0.08/0.28  % Starting post_as_ho11 with 300s (1) cores
% 0.08/0.28  % Starting full_lambda_8 with 300s (1) cores
% 0.08/0.28  % post_as_ho3 with pid 1446996 completed with status 0
% 0.08/0.28  % Result found by post_as_ho3
% 0.08/0.28  % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.08/0.28  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.28  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.08/0.28  % Starting post_as_ho3 with 300s (1) cores
% 0.08/0.28  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.28  % No SInE strategy applied
% 0.08/0.28  % Search class: HGHNF-FFSF00-SHSSMFNN
% 0.08/0.28  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.28  % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.28  % SubtermCWHack with pid 1446999 completed with status 0
% 0.08/0.28  % Result found by SubtermCWHack
% 0.08/0.28  % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.08/0.28  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.28  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.08/0.28  % Starting post_as_ho3 with 300s (1) cores
% 0.08/0.28  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.28  % No SInE strategy applied
% 0.08/0.28  % Search class: HGHNF-FFSF00-SHSSMFNN
% 0.08/0.28  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.28  % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.28  % Preprocessing time       : 0.001 s
% 0.08/0.28  
% 0.08/0.28  % Proof found!
% 0.08/0.28  % SZS status Theorem
% 0.08/0.28  % SZS output start CNFRefutation
% See solution above
% 0.08/0.28  % Parsed axioms                        : 44
% 0.08/0.28  % Removed by relevancy pruning/SinE    : 0
% 0.08/0.28  % Initial clauses                      : 36
% 0.08/0.28  % Removed in clause preprocessing      : 22
% 0.08/0.28  % Initial clauses in saturation        : 14
% 0.08/0.28  % Processed clauses                    : 37
% 0.08/0.28  % ...of these trivial                  : 0
% 0.08/0.28  % ...subsumed                          : 6
% 0.08/0.28  % ...remaining for further processing  : 31
% 0.08/0.28  % Other redundant clauses eliminated   : 0
% 0.08/0.28  % Clauses deleted for lack of memory   : 0
% 0.08/0.28  % Backward-subsumed                    : 3
% 0.08/0.28  % Backward-rewritten                   : 9
% 0.08/0.28  % Generated clauses                    : 43
% 0.08/0.28  % ...of the previous two non-redundant : 33
% 0.08/0.28  % ...aggressively subsumed             : 0
% 0.08/0.28  % Contextual simplify-reflections      : 3
% 0.08/0.28  % Paramodulations                      : 43
% 0.08/0.28  % Factorizations                       : 0
% 0.08/0.28  % NegExts                              : 0
% 0.08/0.28  % Equation resolutions                 : 0
% 0.08/0.28  % Disequality decompositions           : 0
% 0.08/0.28  % Total rewrite steps                  : 15
% 0.08/0.28  % ...of those cached                   : 11
% 0.08/0.28  % Propositional unsat checks           : 0
% 0.08/0.28  %    Propositional check models        : 0
% 0.08/0.28  %    Propositional check unsatisfiable : 0
% 0.08/0.28  %    Propositional clauses             : 0
% 0.08/0.28  %    Propositional clauses after purity: 0
% 0.08/0.28  %    Propositional unsat core size     : 0
% 0.08/0.28  %    Propositional preprocessing time  : 0.000
% 0.08/0.28  %    Propositional encoding time       : 0.000
% 0.08/0.28  %    Propositional solver time         : 0.000
% 0.08/0.28  %    Success case prop preproc time    : 0.000
% 0.08/0.28  %    Success case prop encoding time   : 0.000
% 0.08/0.28  %    Success case prop solver time     : 0.000
% 0.08/0.28  % Current number of processed clauses  : 19
% 0.08/0.28  %    Positive orientable unit clauses  : 4
% 0.08/0.28  %    Positive unorientable unit clauses: 0
% 0.08/0.28  %    Negative unit clauses             : 1
% 0.08/0.28  %    Non-unit-clauses                  : 14
% 0.08/0.28  % Current number of unprocessed clauses: 9
% 0.08/0.28  % ...number of literals in the above   : 30
% 0.08/0.28  % Current number of archived formulas  : 0
% 0.08/0.28  % Current number of archived clauses   : 12
% 0.08/0.28  % Clause-clause subsumption calls (NU) : 29
% 0.08/0.28  % Rec. Clause-clause subsumption calls : 28
% 0.08/0.28  % Non-unit clause-clause subsumptions  : 9
% 0.08/0.28  % Unit Clause-clause subsumption calls : 3
% 0.08/0.28  % Rewrite failures with RHS unbound    : 0
% 0.08/0.28  % BW rewrite match attempts            : 3
% 0.08/0.28  % BW rewrite match successes           : 2
% 0.08/0.28  % Condensation attempts                : 0
% 0.08/0.28  % Condensation successes               : 0
% 0.08/0.28  % Termbank termtop insertions          : 2644
% 0.08/0.28  % Search garbage collected termcells   : 663
% 0.08/0.28  
% 0.08/0.28  % -------------------------------------------------
% 0.08/0.28  % User time                : 0.003 s
% 0.08/0.28  % System time              : 0.002 s
% 0.08/0.28  % Total time               : 0.006 s
% 0.08/0.28  % Maximum resident set size: 3664 pages
% 0.08/0.28  
% 0.08/0.28  % -------------------------------------------------
% 0.08/0.28  % User time                : 0.005 s
% 0.08/0.28  % System time              : 0.008 s
% 0.08/0.28  % Total time               : 0.013 s
% 0.08/0.28  % Maximum resident set size: 4864 pages
% 0.08/0.28  % E exiting
%------------------------------------------------------------------------------