TSTP Solution File: ALG083+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ALG083+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 10:31:07 EDT 2023

% Result   : Theorem 7.85s 2.84s
% Output   : CNFRefutation 7.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   91 (  68 unt;  14 typ;   0 def)
%            Number of atoms       :  257 ( 251 equ)
%            Maximal formula atoms :  110 (   3 avg)
%            Number of connectives :  196 (  16   ~;  54   |; 125   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   63 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    6 (   4   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ op2 > op1 > #nlpp > j > h > e24 > e23 > e22 > e21 > e20 > e14 > e13 > e12 > e11 > e10

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(e21,type,
    e21: $i ).

tff(e24,type,
    e24: $i ).

tff(e20,type,
    e20: $i ).

tff(e13,type,
    e13: $i ).

tff(e22,type,
    e22: $i ).

tff(op2,type,
    op2: ( $i * $i ) > $i ).

tff(op1,type,
    op1: ( $i * $i ) > $i ).

tff(e10,type,
    e10: $i ).

tff(h,type,
    h: $i > $i ).

tff(e23,type,
    e23: $i ).

tff(e14,type,
    e14: $i ).

tff(e12,type,
    e12: $i ).

tff(j,type,
    j: $i > $i ).

tff(e11,type,
    e11: $i ).

tff(f_54,axiom,
    ( ( e10 != e11 )
    & ( e10 != e12 )
    & ( e10 != e13 )
    & ( e10 != e14 )
    & ( e11 != e12 )
    & ( e11 != e13 )
    & ( e11 != e14 )
    & ( e12 != e13 )
    & ( e12 != e14 )
    & ( e13 != e14 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

tff(f_206,axiom,
    ( ( op1(e10,e10) = e10 )
    & ( op1(e10,e11) = e11 )
    & ( op1(e10,e12) = e12 )
    & ( op1(e10,e13) = e13 )
    & ( op1(e10,e14) = e14 )
    & ( op1(e11,e10) = e11 )
    & ( op1(e11,e11) = e14 )
    & ( op1(e11,e12) = e10 )
    & ( op1(e11,e13) = e12 )
    & ( op1(e11,e14) = e13 )
    & ( op1(e12,e10) = e12 )
    & ( op1(e12,e11) = e10 )
    & ( op1(e12,e12) = e13 )
    & ( op1(e12,e13) = e14 )
    & ( op1(e12,e14) = e11 )
    & ( op1(e13,e10) = e13 )
    & ( op1(e13,e11) = e12 )
    & ( op1(e13,e12) = e14 )
    & ( op1(e13,e13) = e11 )
    & ( op1(e13,e14) = e10 )
    & ( op1(e14,e10) = e14 )
    & ( op1(e14,e11) = e13 )
    & ( op1(e14,e12) = e11 )
    & ( op1(e14,e13) = e10 )
    & ( op1(e14,e14) = e12 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

tff(f_476,negated_conjecture,
    ~ ( ( ( ( h(e10) = e20 )
          | ( h(e10) = e21 )
          | ( h(e10) = e22 )
          | ( h(e10) = e23 )
          | ( h(e10) = e24 ) )
        & ( ( h(e11) = e20 )
          | ( h(e11) = e21 )
          | ( h(e11) = e22 )
          | ( h(e11) = e23 )
          | ( h(e11) = e24 ) )
        & ( ( h(e12) = e20 )
          | ( h(e12) = e21 )
          | ( h(e12) = e22 )
          | ( h(e12) = e23 )
          | ( h(e12) = e24 ) )
        & ( ( h(e13) = e20 )
          | ( h(e13) = e21 )
          | ( h(e13) = e22 )
          | ( h(e13) = e23 )
          | ( h(e13) = e24 ) )
        & ( ( h(e14) = e20 )
          | ( h(e14) = e21 )
          | ( h(e14) = e22 )
          | ( h(e14) = e23 )
          | ( h(e14) = e24 ) )
        & ( ( j(e20) = e10 )
          | ( j(e20) = e11 )
          | ( j(e20) = e12 )
          | ( j(e20) = e13 )
          | ( j(e20) = e14 ) )
        & ( ( j(e21) = e10 )
          | ( j(e21) = e11 )
          | ( j(e21) = e12 )
          | ( j(e21) = e13 )
          | ( j(e21) = e14 ) )
        & ( ( j(e22) = e10 )
          | ( j(e22) = e11 )
          | ( j(e22) = e12 )
          | ( j(e22) = e13 )
          | ( j(e22) = e14 ) )
        & ( ( j(e23) = e10 )
          | ( j(e23) = e11 )
          | ( j(e23) = e12 )
          | ( j(e23) = e13 )
          | ( j(e23) = e14 ) )
        & ( ( j(e24) = e10 )
          | ( j(e24) = e11 )
          | ( j(e24) = e12 )
          | ( j(e24) = e13 )
          | ( j(e24) = e14 ) ) )
     => ~ ( ( h(op1(e10,e10)) = op2(h(e10),h(e10)) )
          & ( h(op1(e10,e11)) = op2(h(e10),h(e11)) )
          & ( h(op1(e10,e12)) = op2(h(e10),h(e12)) )
          & ( h(op1(e10,e13)) = op2(h(e10),h(e13)) )
          & ( h(op1(e10,e14)) = op2(h(e10),h(e14)) )
          & ( h(op1(e11,e10)) = op2(h(e11),h(e10)) )
          & ( h(op1(e11,e11)) = op2(h(e11),h(e11)) )
          & ( h(op1(e11,e12)) = op2(h(e11),h(e12)) )
          & ( h(op1(e11,e13)) = op2(h(e11),h(e13)) )
          & ( h(op1(e11,e14)) = op2(h(e11),h(e14)) )
          & ( h(op1(e12,e10)) = op2(h(e12),h(e10)) )
          & ( h(op1(e12,e11)) = op2(h(e12),h(e11)) )
          & ( h(op1(e12,e12)) = op2(h(e12),h(e12)) )
          & ( h(op1(e12,e13)) = op2(h(e12),h(e13)) )
          & ( h(op1(e12,e14)) = op2(h(e12),h(e14)) )
          & ( h(op1(e13,e10)) = op2(h(e13),h(e10)) )
          & ( h(op1(e13,e11)) = op2(h(e13),h(e11)) )
          & ( h(op1(e13,e12)) = op2(h(e13),h(e12)) )
          & ( h(op1(e13,e13)) = op2(h(e13),h(e13)) )
          & ( h(op1(e13,e14)) = op2(h(e13),h(e14)) )
          & ( h(op1(e14,e10)) = op2(h(e14),h(e10)) )
          & ( h(op1(e14,e11)) = op2(h(e14),h(e11)) )
          & ( h(op1(e14,e12)) = op2(h(e14),h(e12)) )
          & ( h(op1(e14,e13)) = op2(h(e14),h(e13)) )
          & ( h(op1(e14,e14)) = op2(h(e14),h(e14)) )
          & ( j(op2(e20,e20)) = op1(j(e20),j(e20)) )
          & ( j(op2(e20,e21)) = op1(j(e20),j(e21)) )
          & ( j(op2(e20,e22)) = op1(j(e20),j(e22)) )
          & ( j(op2(e20,e23)) = op1(j(e20),j(e23)) )
          & ( j(op2(e20,e24)) = op1(j(e20),j(e24)) )
          & ( j(op2(e21,e20)) = op1(j(e21),j(e20)) )
          & ( j(op2(e21,e21)) = op1(j(e21),j(e21)) )
          & ( j(op2(e21,e22)) = op1(j(e21),j(e22)) )
          & ( j(op2(e21,e23)) = op1(j(e21),j(e23)) )
          & ( j(op2(e21,e24)) = op1(j(e21),j(e24)) )
          & ( j(op2(e22,e20)) = op1(j(e22),j(e20)) )
          & ( j(op2(e22,e21)) = op1(j(e22),j(e21)) )
          & ( j(op2(e22,e22)) = op1(j(e22),j(e22)) )
          & ( j(op2(e22,e23)) = op1(j(e22),j(e23)) )
          & ( j(op2(e22,e24)) = op1(j(e22),j(e24)) )
          & ( j(op2(e23,e20)) = op1(j(e23),j(e20)) )
          & ( j(op2(e23,e21)) = op1(j(e23),j(e21)) )
          & ( j(op2(e23,e22)) = op1(j(e23),j(e22)) )
          & ( j(op2(e23,e23)) = op1(j(e23),j(e23)) )
          & ( j(op2(e23,e24)) = op1(j(e23),j(e24)) )
          & ( j(op2(e24,e20)) = op1(j(e24),j(e20)) )
          & ( j(op2(e24,e21)) = op1(j(e24),j(e21)) )
          & ( j(op2(e24,e22)) = op1(j(e24),j(e22)) )
          & ( j(op2(e24,e23)) = op1(j(e24),j(e23)) )
          & ( j(op2(e24,e24)) = op1(j(e24),j(e24)) )
          & ( h(j(e20)) = e20 )
          & ( h(j(e21)) = e21 )
          & ( h(j(e22)) = e22 )
          & ( h(j(e23)) = e23 )
          & ( h(j(e24)) = e24 )
          & ( j(h(e10)) = e10 )
          & ( j(h(e11)) = e11 )
          & ( j(h(e12)) = e12 )
          & ( j(h(e13)) = e13 )
          & ( j(h(e14)) = e14 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(f_255,axiom,
    ( ( op2(e20,e20) = e20 )
    & ( op2(e20,e21) = e21 )
    & ( op2(e20,e22) = e22 )
    & ( op2(e20,e23) = e23 )
    & ( op2(e20,e24) = e24 )
    & ( op2(e21,e20) = e21 )
    & ( op2(e21,e21) = e20 )
    & ( op2(e21,e22) = e24 )
    & ( op2(e21,e23) = e22 )
    & ( op2(e21,e24) = e23 )
    & ( op2(e22,e20) = e22 )
    & ( op2(e22,e21) = e24 )
    & ( op2(e22,e22) = e23 )
    & ( op2(e22,e23) = e20 )
    & ( op2(e22,e24) = e21 )
    & ( op2(e23,e20) = e23 )
    & ( op2(e23,e21) = e22 )
    & ( op2(e23,e22) = e21 )
    & ( op2(e23,e23) = e24 )
    & ( op2(e23,e24) = e20 )
    & ( op2(e24,e20) = e24 )
    & ( op2(e24,e21) = e23 )
    & ( op2(e24,e22) = e20 )
    & ( op2(e24,e23) = e21 )
    & ( op2(e24,e24) = e22 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

tff(c_10,plain,
    e13 != e11,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_4,plain,
    e14 != e12,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_92,plain,
    op1(e14,e14) = e12,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_322,plain,
    ( ( h(e14) = e24 )
    | ( h(e14) = e23 )
    | ( h(e14) = e22 )
    | ( h(e14) = e21 )
    | ( h(e14) = e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_1002,plain,
    h(e14) = e20,
    inference(splitLeft,[status(thm)],[c_322]) ).

tff(c_192,plain,
    j(h(e14)) = e14,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_1003,plain,
    j(e20) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_1002,c_192]) ).

tff(c_190,plain,
    op2(e20,e20) = e20,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_260,plain,
    op1(j(e20),j(e20)) = j(op2(e20,e20)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_331,plain,
    op1(j(e20),j(e20)) = j(e20),
    inference(demodulation,[status(thm),theory(equality)],[c_190,c_260]) ).

tff(c_1170,plain,
    e14 = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_92,c_1003,c_1003,c_1003,c_331]) ).

tff(c_1171,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4,c_1170]) ).

tff(c_1173,plain,
    h(e14) != e20,
    inference(splitRight,[status(thm)],[c_322]) ).

tff(c_178,plain,
    op2(e21,e21) = e20,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_8,plain,
    e14 != e11,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_128,plain,
    op1(e11,e11) = e14,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_328,plain,
    ( ( h(e11) = e24 )
    | ( h(e11) = e23 )
    | ( h(e11) = e22 )
    | ( h(e11) = e21 )
    | ( h(e11) = e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_597,plain,
    h(e11) = e20,
    inference(splitLeft,[status(thm)],[c_328]) ).

tff(c_198,plain,
    j(h(e11)) = e11,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_598,plain,
    j(e20) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_597,c_198]) ).

tff(c_801,plain,
    e14 = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_128,c_598,c_598,c_598,c_331]) ).

tff(c_802,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8,c_801]) ).

tff(c_803,plain,
    ( ( h(e11) = e21 )
    | ( h(e11) = e22 )
    | ( h(e11) = e23 )
    | ( h(e11) = e24 ) ),
    inference(splitRight,[status(thm)],[c_328]) ).

tff(c_1577,plain,
    h(e11) = e24,
    inference(splitLeft,[status(thm)],[c_803]) ).

tff(c_1591,plain,
    j(e24) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_1577,c_198]) ).

tff(c_154,plain,
    op2(e23,e23) = e24,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_166,plain,
    op2(e22,e22) = e23,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_142,plain,
    op2(e24,e24) = e22,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_298,plain,
    op2(h(e11),h(e11)) = h(op1(e11,e11)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_362,plain,
    op2(h(e11),h(e11)) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_128,c_298]) ).

tff(c_1585,plain,
    op2(e24,e24) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_1577,c_1577,c_362]) ).

tff(c_1594,plain,
    h(e14) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_142,c_1585]) ).

tff(c_262,plain,
    op2(h(e14),h(e14)) = h(op1(e14,e14)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_380,plain,
    op2(h(e14),h(e14)) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_92,c_262]) ).

tff(c_1604,plain,
    op2(e22,e22) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_1594,c_1594,c_380]) ).

tff(c_1610,plain,
    h(e12) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_1604]) ).

tff(c_116,plain,
    op1(e12,e12) = e13,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_286,plain,
    op2(h(e12),h(e12)) = h(op1(e12,e12)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_368,plain,
    op2(h(e12),h(e12)) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_116,c_286]) ).

tff(c_1657,plain,
    op2(e23,e23) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_1610,c_1610,c_368]) ).

tff(c_1661,plain,
    h(e13) = e24,
    inference(demodulation,[status(thm),theory(equality)],[c_154,c_1657]) ).

tff(c_194,plain,
    j(h(e13)) = e13,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_1682,plain,
    j(e24) = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_1661,c_194]) ).

tff(c_1685,plain,
    e13 = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_1591,c_1682]) ).

tff(c_1687,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_10,c_1685]) ).

tff(c_1688,plain,
    ( ( h(e11) = e23 )
    | ( h(e11) = e22 )
    | ( h(e11) = e21 ) ),
    inference(splitRight,[status(thm)],[c_803]) ).

tff(c_1690,plain,
    h(e11) = e21,
    inference(splitLeft,[status(thm)],[c_1688]) ).

tff(c_1699,plain,
    op2(e21,e21) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_1690,c_1690,c_362]) ).

tff(c_1708,plain,
    h(e14) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_178,c_1699]) ).

tff(c_1710,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1173,c_1708]) ).

tff(c_1711,plain,
    ( ( h(e11) = e22 )
    | ( h(e11) = e23 ) ),
    inference(splitRight,[status(thm)],[c_1688]) ).

tff(c_1713,plain,
    h(e11) = e23,
    inference(splitLeft,[status(thm)],[c_1711]) ).

tff(c_1729,plain,
    j(e23) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_1713,c_198]) ).

tff(c_1723,plain,
    op2(e23,e23) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_1713,c_1713,c_362]) ).

tff(c_1732,plain,
    h(e14) = e24,
    inference(demodulation,[status(thm),theory(equality)],[c_154,c_1723]) ).

tff(c_1742,plain,
    op2(e24,e24) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_1732,c_1732,c_380]) ).

tff(c_1748,plain,
    h(e12) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_142,c_1742]) ).

tff(c_1795,plain,
    op2(e22,e22) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_1748,c_1748,c_368]) ).

tff(c_1799,plain,
    h(e13) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_1795]) ).

tff(c_1818,plain,
    j(e23) = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_1799,c_194]) ).

tff(c_1821,plain,
    e13 = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_1729,c_1818]) ).

tff(c_1823,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_10,c_1821]) ).

tff(c_1824,plain,
    h(e11) = e22,
    inference(splitRight,[status(thm)],[c_1711]) ).

tff(c_1841,plain,
    j(e22) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_1824,c_198]) ).

tff(c_1835,plain,
    op2(e22,e22) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_1824,c_1824,c_362]) ).

tff(c_1844,plain,
    h(e14) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_166,c_1835]) ).

tff(c_1855,plain,
    op2(e23,e23) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_1844,c_1844,c_380]) ).

tff(c_1861,plain,
    h(e12) = e24,
    inference(demodulation,[status(thm),theory(equality)],[c_154,c_1855]) ).

tff(c_1891,plain,
    op2(e24,e24) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_1861,c_1861,c_368]) ).

tff(c_1895,plain,
    h(e13) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_142,c_1891]) ).

tff(c_1933,plain,
    j(e22) = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_1895,c_194]) ).

tff(c_1936,plain,
    e13 = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_1841,c_1933]) ).

tff(c_1938,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_10,c_1936]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG083+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 20:35:16 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 7.85/2.84  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.85/2.85  
% 7.85/2.85  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.85/2.88  
% 7.85/2.88  Inference rules
% 7.85/2.88  ----------------------
% 7.85/2.88  #Ref     : 0
% 7.85/2.88  #Sup     : 506
% 7.85/2.88  #Fact    : 0
% 7.85/2.88  #Define  : 0
% 7.85/2.88  #Split   : 22
% 7.85/2.88  #Chain   : 0
% 7.85/2.88  #Close   : 0
% 7.85/2.88  
% 7.85/2.88  Ordering : KBO
% 7.85/2.88  
% 7.85/2.88  Simplification rules
% 7.85/2.88  ----------------------
% 7.85/2.88  #Subsume      : 27
% 7.85/2.88  #Demod        : 604
% 7.85/2.88  #Tautology    : 581
% 7.85/2.88  #SimpNegUnit  : 26
% 7.85/2.88  #BackRed      : 271
% 7.85/2.88  
% 7.85/2.88  #Partial instantiations: 0
% 7.85/2.88  #Strategies tried      : 1
% 7.85/2.88  
% 7.85/2.88  Timing (in seconds)
% 7.85/2.88  ----------------------
% 8.20/2.89  Preprocessing        : 0.66
% 8.20/2.89  Parsing              : 0.34
% 8.20/2.89  CNF conversion       : 0.03
% 8.20/2.89  Main loop            : 1.13
% 8.20/2.89  Inferencing          : 0.27
% 8.20/2.89  Reduction            : 0.46
% 8.20/2.89  Demodulation         : 0.32
% 8.20/2.89  BG Simplification    : 0.04
% 8.20/2.89  Subsumption          : 0.24
% 8.20/2.89  Abstraction          : 0.03
% 8.20/2.89  MUC search           : 0.00
% 8.20/2.89  Cooper               : 0.00
% 8.20/2.89  Total                : 1.86
% 8.20/2.89  Index Insertion      : 0.00
% 8.20/2.89  Index Deletion       : 0.00
% 8.20/2.89  Index Matching       : 0.00
% 8.20/2.89  BG Taut test         : 0.00
%------------------------------------------------------------------------------