↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : CSR146^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 07:46:50 AM UTC 2026

% Result   : Theorem 0.20s 0.31s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   34 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :  112 (   2 equ;   0 cnn)
%            Maximal formula atoms :   24 (   3 avg)
%            Number of connectives :  374 (  67   ~;  58   |;  19   &; 224   @)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   56 (   4   ^;  49   !;   3   ?;  56   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_54,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

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

thf(decl_64,type,
    instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).

thf(decl_68,type,
    inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(decl_79,type,
    lChris_THFTYPE_i: $i ).

thf(decl_84,type,
    lCorina_THFTYPE_i: $i ).

thf(decl_95,type,
    lIrreflexiveRelation_THFTYPE_i: $i ).

thf(decl_135,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(decl_149,type,
    n2009_THFTYPE_i: $i ).

thf(decl_178,type,
    wife_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_183,type,
    esk5_1: ( $i > $i > $o ) > $i ).

thf(con,conjecture,
    ? [X71: $i > $i > $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
      & ( X71
       != ( ^ [X5: $i,X6: $i] : $true ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.elHDn92b1H/E---3.1_144677.p',con) ).

thf(ax_084,axiom,
    ! [X52: $i,X29: $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ X52 @ ~ X29 )
     => ~ ( holdsDuring_THFTYPE_IiooI @ X52 @ X29 ) ),
    file('/export/starexec/sandbox/tmp/tmp.elHDn92b1H/E---3.1_144677.p',ax_084) ).

thf(ax_110,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
    file('/export/starexec/sandbox/tmp/tmp.elHDn92b1H/E---3.1_144677.p',ax_110) ).

thf(ax_057,axiom,
    ! [X7: $i] : ( holdsDuring_THFTYPE_IiooI @ X7 @ $true ),
    file('/export/starexec/sandbox/tmp/tmp.elHDn92b1H/E---3.1_144677.p',ax_057) ).

thf(ax_005,axiom,
    ! [X9: $i > $i > $o,X10: $i > $i > $o] :
      ( ( inverse_THFTYPE_IIiioIIiioIoI @ X10 @ X9 )
     => ! [X11: $i,X12: $i] :
          ( ( X10 @ X11 @ X12 )
        <=> ( X9 @ X12 @ X11 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.elHDn92b1H/E---3.1_144677.p',ax_005) ).

thf(ax_031,axiom,
    ! [X33: $i > $i > $o] :
      ( ( instance_THFTYPE_IIiioIioI @ X33 @ lIrreflexiveRelation_THFTYPE_i )
    <=> ! [X34: $i] :
          ~ ( X33 @ X34 @ X34 ) ),
    file('/export/starexec/sandbox/tmp/tmp.elHDn92b1H/E---3.1_144677.p',ax_031) ).

thf(ax_092,axiom,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    file('/export/starexec/sandbox/tmp/tmp.elHDn92b1H/E---3.1_144677.p',ax_092) ).

thf(ax_285,axiom,
    instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox/tmp/tmp.elHDn92b1H/E---3.1_144677.p',ax_285) ).

thf(c_0_8,negated_conjecture,
    ~ ? [X71: $i > $i > $o] :
        ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( X71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
        & ( X71
         != ( ^ [X5: $i,X6: $i] : $true ) ) ),
    inference(assume_negation,[status(cth)],[con]) ).

thf(c_0_9,negated_conjecture,
    ~ ? [X71: $i > $i > $o] :
        ( ( ~ ( X71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
          | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
        & ( ( X71 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
          | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) )
        & ~ ! [X260: $i,X261: $i] :
              ( ( X71 @ X260 @ X261 )
            <=> $true ) ),
    inference(fool_unroll,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_8])])]) ).

thf(c_0_10,plain,
    ! [X52: $i,X29: $o] :
      ( ( ( X29
          | ( holdsDuring_THFTYPE_IiooI @ X52 @ $true ) )
        & ( ~ X29
          | ( holdsDuring_THFTYPE_IiooI @ X52 @ $false ) ) )
     => ~ ( holdsDuring_THFTYPE_IiooI @ X52 @ X29 ) ),
    inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_084])]) ).

thf(c_0_11,negated_conjecture,
    ! [X463: $i > $i > $o,X464: $i,X465: $i] :
      ( ( ~ ( X463 @ X464 @ X465 )
        | $true
        | ~ ( X463 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
        | ( X463 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
      & ( ~ $true
        | ( X463 @ X464 @ X465 )
        | ~ ( X463 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
        | ( X463 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
      & ( ~ ( X463 @ X464 @ X465 )
        | $true
        | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ( X463 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
      & ( ~ $true
        | ( X463 @ X464 @ X465 )
        | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ( X463 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
      & ( ~ ( X463 @ X464 @ X465 )
        | $true
        | ~ ( X463 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
        | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
      & ( ~ $true
        | ( X463 @ X464 @ X465 )
        | ~ ( X463 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
        | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
      & ( ~ ( X463 @ X464 @ X465 )
        | $true
        | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
      & ( ~ $true
        | ( X463 @ X464 @ X465 )
        | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).

thf(c_0_12,axiom,
    ( ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fool_unroll,[status(thm)],[ax_110]) ).

thf(c_0_13,plain,
    ! [X388: $i,X389: $o] :
      ( ( X389
        | ~ X389
        | ~ ( holdsDuring_THFTYPE_IiooI @ X388 @ X389 ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ X388 @ $false )
        | ~ X389
        | ~ ( holdsDuring_THFTYPE_IiooI @ X388 @ X389 ) )
      & ( X389
        | ~ ( holdsDuring_THFTYPE_IiooI @ X388 @ $true )
        | ~ ( holdsDuring_THFTYPE_IiooI @ X388 @ X389 ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ X388 @ $false )
        | ~ ( holdsDuring_THFTYPE_IiooI @ X388 @ $true )
        | ~ ( holdsDuring_THFTYPE_IiooI @ X388 @ X389 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).

thf(c_0_14,plain,
    ! [X349: $i] : ( holdsDuring_THFTYPE_IiooI @ X349 @ $true ),
    inference(variable_rename,[status(thm)],[ax_057]) ).

thf(c_0_15,negated_conjecture,
    ! [X1: $i,X2: $i,X9: $i > $i > $o] :
      ( ( X9 @ X1 @ X2 )
      | ~ $true
      | ~ ( X9 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_16,plain,
    ! [X272: $i > $i > $o,X273: $i > $i > $o,X274: $i,X275: $i] :
      ( ( ~ ( X273 @ X274 @ X275 )
        | ( X272 @ X275 @ X274 )
        | ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X273 @ X272 ) )
      & ( ~ ( X272 @ X275 @ X274 )
        | ( X273 @ X274 @ X275 )
        | ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X273 @ X272 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_005])])])])]) ).

thf(c_0_17,plain,
    ( ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fof_nnf,[status(thm)],[c_0_12]) ).

thf(c_0_18,plain,
    ! [X1: $i] :
      ( ~ ( holdsDuring_THFTYPE_IiooI @ X1 @ $true )
      | ~ ( holdsDuring_THFTYPE_IiooI @ X1 @ ~ $true ) ),
    inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_13])])]) ).

thf(c_0_19,plain,
    ! [X1: $i] : ( holdsDuring_THFTYPE_IiooI @ X1 @ $true ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

thf(c_0_20,plain,
    ! [X313: $i > $i > $o,X314: $i,X315: $i > $i > $o] :
      ( ( ~ ( instance_THFTYPE_IIiioIioI @ X313 @ lIrreflexiveRelation_THFTYPE_i )
        | ~ ( X313 @ X314 @ X314 ) )
      & ( ( X315 @ ( esk5_1 @ X315 ) @ ( esk5_1 @ X315 ) )
        | ( instance_THFTYPE_IIiioIioI @ X315 @ lIrreflexiveRelation_THFTYPE_i ) ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_031])])])])])]) ).

thf(c_0_21,negated_conjecture,
    ! [X1: $i,X2: $i,X9: $i > $i > $o] :
      ( ( X9 @ X1 @ X2 )
      | ~ ( X9 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
    inference(cn,[status(thm)],[c_0_15]) ).

thf(c_0_22,plain,
    ! [X1: $i,X2: $i,X10: $i > $i > $o,X9: $i > $i > $o] :
      ( ( X10 @ X2 @ X1 )
      | ~ ( X9 @ X1 @ X2 )
      | ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X10 @ X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_23,plain,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    inference(split_conjunct,[status(thm)],[ax_092]) ).

thf(c_0_24,plain,
    ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
    | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

thf(c_0_25,plain,
    ! [X1: $i] :
      ~ ( holdsDuring_THFTYPE_IiooI @ X1 @ ~ $true ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]) ).

thf(c_0_26,plain,
    ! [X9: $i > $i > $o,X1: $i] :
      ( ~ ( instance_THFTYPE_IIiioIioI @ X9 @ lIrreflexiveRelation_THFTYPE_i )
      | ~ ( X9 @ X1 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

thf(c_0_27,plain,
    instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    inference(split_conjunct,[status(thm)],[ax_285]) ).

thf(c_0_28,negated_conjecture,
    ! [X1: $i,X2: $i,X9: $i > $i > $o] :
      ( ( X9 @ X1 @ X2 )
      | ~ ( X9 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_19])]) ).

thf(c_0_29,plain,
    ! [X2: $i,X1: $i] :
      ( ( husband_THFTYPE_IiioI @ X1 @ X2 )
      | ~ ( wife_THFTYPE_IiioI @ X2 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

thf(c_0_30,plain,
    wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
    inference(sr,[status(thm)],[c_0_24,c_0_25]) ).

thf(c_0_31,plain,
    ! [X1: $i] :
      ~ ( husband_THFTYPE_IiioI @ X1 @ X1 ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

thf(c_0_32,negated_conjecture,
    ! [X1: $i,X2: $i] : ( husband_THFTYPE_IiioI @ X1 @ X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).

thf(c_0_33,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR146^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17  % Computer : n009.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
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Tue Sep 29 17:56:45 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.elHDn92b1H/E---3.1_144677.p
% 0.20/0.31  % Version: 3.5.1-ho
% 0.20/0.31  % Preprocessing class: HSLMSMSMSSSNHSA.
% 0.20/0.31  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.31  % Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.31  % Starting sh7 with 300s (1) cores
% 0.20/0.31  % Starting ho_unfolding_2 with 300s (1) cores
% 0.20/0.31  % Starting new_bool_12 with 300s (1) cores
% 0.20/0.31  % ho_unfolding_2 with pid 144714 completed with status 0
% 0.20/0.31  % Result found by ho_unfolding_2
% 0.20/0.31  % Preprocessing class: HSLMSMSMSSSNHSA.
% 0.20/0.31  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.31  % Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.31  % Starting sh7 with 300s (1) cores
% 0.20/0.31  % Starting ho_unfolding_2 with 300s (1) cores
% 0.20/0.31  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.31  % No SInE strategy applied
% 0.20/0.31  % Search class: HGHSS-FSLM21-SHSFFFBN
% 0.20/0.31  % partial match(3): HGHSM-FSLM31-DHSFFFBN
% 0.20/0.31  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.31  % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.31  % SubtermCWHack with pid 144728 completed with status 0
% 0.20/0.31  % Result found by SubtermCWHack
% 0.20/0.31  % Preprocessing class: HSLMSMSMSSSNHSA.
% 0.20/0.31  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.31  % Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.31  % Starting sh7 with 300s (1) cores
% 0.20/0.31  % Starting ho_unfolding_2 with 300s (1) cores
% 0.20/0.31  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.31  % No SInE strategy applied
% 0.20/0.31  % Search class: HGHSS-FSLM21-SHSFFFBN
% 0.20/0.31  % partial match(3): HGHSM-FSLM31-DHSFFFBN
% 0.20/0.31  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.31  % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.31  % Preprocessing time       : 0.003 s
% 0.20/0.31  
% 0.20/0.31  % Proof found!
% 0.20/0.31  % SZS status Theorem
% 0.20/0.31  % SZS output start CNFRefutation
% See solution above
% 0.20/0.31  % Parsed axioms                        : 500
% 0.20/0.31  % Removed by relevancy pruning/SinE    : 0
% 0.20/0.31  % Initial clauses                      : 535
% 0.20/0.31  % Removed in clause preprocessing      : 172
% 0.20/0.31  % Initial clauses in saturation        : 363
% 0.20/0.31  % Processed clauses                    : 694
% 0.20/0.31  % ...of these trivial                  : 43
% 0.20/0.31  % ...subsumed                          : 36
% 0.20/0.31  % ...remaining for further processing  : 615
% 0.20/0.31  % Other redundant clauses eliminated   : 4
% 0.20/0.31  % Clauses deleted for lack of memory   : 0
% 0.20/0.31  % Backward-subsumed                    : 1
% 0.20/0.31  % Backward-rewritten                   : 4
% 0.20/0.31  % Generated clauses                    : 499
% 0.20/0.31  % ...of the previous two non-redundant : 444
% 0.20/0.31  % ...aggressively subsumed             : 0
% 0.20/0.31  % Contextual simplify-reflections      : 0
% 0.20/0.31  % Paramodulations                      : 494
% 0.20/0.31  % Factorizations                       : 0
% 0.20/0.31  % NegExts                              : 0
% 0.20/0.31  % Equation resolutions                 : 5
% 0.20/0.31  % Disequality decompositions           : 0
% 0.20/0.31  % Total rewrite steps                  : 88
% 0.20/0.31  % ...of those cached                   : 39
% 0.20/0.31  % Propositional unsat checks           : 0
% 0.20/0.31  %    Propositional check models        : 0
% 0.20/0.31  %    Propositional check unsatisfiable : 0
% 0.20/0.31  %    Propositional clauses             : 0
% 0.20/0.31  %    Propositional clauses after purity: 0
% 0.20/0.31  %    Propositional unsat core size     : 0
% 0.20/0.31  %    Propositional preprocessing time  : 0.000
% 0.20/0.31  %    Propositional encoding time       : 0.000
% 0.20/0.31  %    Propositional solver time         : 0.000
% 0.20/0.31  %    Success case prop preproc time    : 0.000
% 0.20/0.31  %    Success case prop encoding time   : 0.000
% 0.20/0.31  %    Success case prop solver time     : 0.000
% 0.20/0.31  % Current number of processed clauses  : 606
% 0.20/0.31  %    Positive orientable unit clauses  : 343
% 0.20/0.31  %    Positive unorientable unit clauses: 0
% 0.20/0.31  %    Negative unit clauses             : 7
% 0.20/0.31  %    Non-unit-clauses                  : 256
% 0.20/0.31  % Current number of unprocessed clauses: 112
% 0.20/0.31  % ...number of literals in the above   : 368
% 0.20/0.31  % Current number of archived formulas  : 0
% 0.20/0.31  % Current number of archived clauses   : 6
% 0.20/0.31  % Clause-clause subsumption calls (NU) : 7326
% 0.20/0.31  % Rec. Clause-clause subsumption calls : 6974
% 0.20/0.31  % Non-unit clause-clause subsumptions  : 30
% 0.20/0.31  % Unit Clause-clause subsumption calls : 739
% 0.20/0.31  % Rewrite failures with RHS unbound    : 0
% 0.20/0.31  % BW rewrite match attempts            : 6
% 0.20/0.31  % BW rewrite match successes           : 5
% 0.20/0.31  % Condensation attempts                : 0
% 0.20/0.31  % Condensation successes               : 0
% 0.20/0.31  % Termbank termtop insertions          : 26755
% 0.20/0.31  % Search garbage collected termcells   : 2751
% 0.20/0.31  
% 0.20/0.31  % -------------------------------------------------
% 0.20/0.31  % User time                : 0.038 s
% 0.20/0.31  % System time              : 0.007 s
% 0.20/0.31  % Total time               : 0.045 s
% 0.20/0.31  % Maximum resident set size: 4784 pages
% 0.20/0.31  
% 0.20/0.31  % -------------------------------------------------
% 0.20/0.31  % User time                : 0.046 s
% 0.20/0.31  % System time              : 0.011 s
% 0.20/0.31  % Total time               : 0.058 s
% 0.20/0.31  % Maximum resident set size: 5120 pages
% 0.20/0.31  % E exiting
%------------------------------------------------------------------------------