TSTP Solution File: ALG002-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ALG002-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n024.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 10:30:48 EDT 2023

% Result   : Unsatisfiable 15.29s 6.27s
% Output   : CNFRefutation 15.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   97 (  32 unt;   7 typ;   0 def)
%            Number of atoms       :  195 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  188 (  83   ~; 105   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   4   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :  117 (; 117   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ product > greater_than_0 > #nlpp > multiplicative_inverse > additive_inverse > multiplicative_identity > additive_identity > a

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(greater_than_0,type,
    greater_than_0: $i > $o ).

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

tff(product,type,
    product: ( $i * $i * $i ) > $o ).

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

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

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

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

tff(f_91,axiom,
    greater_than_0(a),
    file(unknown,unknown) ).

tff(f_27,axiom,
    ! [X] : product(X,multiplicative_identity,X),
    file(unknown,unknown) ).

tff(f_44,axiom,
    ! [X,Y,Z] :
      ( ~ product(X,Y,Z)
      | product(X,additive_inverse(Y),additive_inverse(Z)) ),
    file(unknown,unknown) ).

tff(f_39,axiom,
    ! [X,Y,Z] :
      ( product(X,Y,Z)
      | ~ product(additive_inverse(X),additive_inverse(Y),Z) ),
    file(unknown,unknown) ).

tff(f_90,axiom,
    ! [Y,Z,X] :
      ( ~ product(Y,Z,X)
      | ~ greater_than_0(Y)
      | ~ greater_than_0(Z)
      | greater_than_0(X) ),
    file(unknown,unknown) ).

tff(f_29,axiom,
    ~ product(multiplicative_identity,multiplicative_identity,additive_identity),
    file(unknown,unknown) ).

tff(f_71,axiom,
    ! [X] :
      ( greater_than_0(X)
      | product(X,X,additive_identity)
      | greater_than_0(additive_inverse(X)) ),
    file(unknown,unknown) ).

tff(f_65,axiom,
    ! [X,Y,Z] :
      ( ~ product(X,Y,Z)
      | product(Y,X,Z) ),
    file(unknown,unknown) ).

tff(f_79,axiom,
    ! [Y,Z,X] :
      ( ~ product(Y,Z,X)
      | ~ product(Y,Y,additive_identity)
      | product(X,X,additive_identity) ),
    file(unknown,unknown) ).

tff(f_34,axiom,
    ! [X,Y,Z] :
      ( ~ product(X,Y,Z)
      | product(additive_inverse(X),additive_inverse(Y),Z) ),
    file(unknown,unknown) ).

tff(f_48,axiom,
    ! [X] :
      ( product(X,multiplicative_inverse(X),multiplicative_identity)
      | product(X,X,additive_identity) ),
    file(unknown,unknown) ).

tff(f_60,axiom,
    ! [X] :
      ( ~ greater_than_0(X)
      | ~ product(X,X,additive_identity) ),
    file(unknown,unknown) ).

tff(f_54,axiom,
    ! [X] :
      ( ~ greater_than_0(X)
      | ~ greater_than_0(additive_inverse(X)) ),
    file(unknown,unknown) ).

tff(f_93,axiom,
    ~ greater_than_0(multiplicative_inverse(a)),
    file(unknown,unknown) ).

tff(c_26,plain,
    greater_than_0(a),
    inference(cnfTransformation,[status(thm)],[f_91]) ).

tff(c_2,plain,
    ! [X_1] : product(X_1,multiplicative_identity,X_1),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_10,plain,
    ! [X_8,Y_9,Z_10] :
      ( product(X_8,additive_inverse(Y_9),additive_inverse(Z_10))
      | ~ product(X_8,Y_9,Z_10) ),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_108,plain,
    ! [X_44,Y_45,Z_46] :
      ( ~ product(additive_inverse(X_44),additive_inverse(Y_45),Z_46)
      | product(X_44,Y_45,Z_46) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_136,plain,
    ! [X_50,Y_51,Z_52] :
      ( product(X_50,Y_51,additive_inverse(Z_52))
      | ~ product(additive_inverse(X_50),Y_51,Z_52) ),
    inference(resolution,[status(thm)],[c_10,c_108]) ).

tff(c_165,plain,
    ! [X_53] : product(X_53,multiplicative_identity,additive_inverse(additive_inverse(X_53))),
    inference(resolution,[status(thm)],[c_2,c_136]) ).

tff(c_24,plain,
    ! [X_23,Z_22,Y_21] :
      ( greater_than_0(X_23)
      | ~ greater_than_0(Z_22)
      | ~ greater_than_0(Y_21)
      | ~ product(Y_21,Z_22,X_23) ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_176,plain,
    ! [X_53] :
      ( greater_than_0(additive_inverse(additive_inverse(X_53)))
      | ~ greater_than_0(multiplicative_identity)
      | ~ greater_than_0(X_53) ),
    inference(resolution,[status(thm)],[c_165,c_24]) ).

tff(c_195,plain,
    ~ greater_than_0(multiplicative_identity),
    inference(splitLeft,[status(thm)],[c_176]) ).

tff(c_4,plain,
    ~ product(multiplicative_identity,multiplicative_identity,additive_identity),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_20,plain,
    ! [X_17] :
      ( greater_than_0(additive_inverse(X_17))
      | product(X_17,X_17,additive_identity)
      | greater_than_0(X_17) ),
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_32,plain,
    ! [Y_27,X_28,Z_29] :
      ( product(Y_27,X_28,Z_29)
      | ~ product(X_28,Y_27,Z_29) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_35,plain,
    ! [X_1] : product(multiplicative_identity,X_1,X_1),
    inference(resolution,[status(thm)],[c_2,c_32]) ).

tff(c_178,plain,
    ! [X_54,Y_55,Z_56] :
      ( product(X_54,X_54,additive_identity)
      | ~ product(Y_55,Y_55,additive_identity)
      | ~ product(Y_55,Z_56,X_54) ),
    inference(cnfTransformation,[status(thm)],[f_79]) ).

tff(c_1112,plain,
    ! [X_132,X_133,Z_134] :
      ( product(X_132,X_132,additive_identity)
      | ~ product(X_133,Z_134,X_132)
      | greater_than_0(additive_inverse(X_133))
      | greater_than_0(X_133) ),
    inference(resolution,[status(thm)],[c_20,c_178]) ).

tff(c_1160,plain,
    ! [X_1] :
      ( product(X_1,X_1,additive_identity)
      | greater_than_0(additive_inverse(multiplicative_identity))
      | greater_than_0(multiplicative_identity) ),
    inference(resolution,[status(thm)],[c_35,c_1112]) ).

tff(c_1197,plain,
    ! [X_1] :
      ( product(X_1,X_1,additive_identity)
      | greater_than_0(additive_inverse(multiplicative_identity)) ),
    inference(negUnitSimplification,[status(thm)],[c_195,c_1160]) ).

tff(c_1199,plain,
    greater_than_0(additive_inverse(multiplicative_identity)),
    inference(splitLeft,[status(thm)],[c_1197]) ).

tff(c_91,plain,
    ! [X_40,Y_41,Z_42] :
      ( product(additive_inverse(X_40),additive_inverse(Y_41),Z_42)
      | ~ product(X_40,Y_41,Z_42) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_101,plain,
    ! [Z_42,Y_41,X_40] :
      ( greater_than_0(Z_42)
      | ~ greater_than_0(additive_inverse(Y_41))
      | ~ greater_than_0(additive_inverse(X_40))
      | ~ product(X_40,Y_41,Z_42) ),
    inference(resolution,[status(thm)],[c_91,c_24]) ).

tff(c_2223,plain,
    ! [Z_147,X_148] :
      ( greater_than_0(Z_147)
      | ~ greater_than_0(additive_inverse(X_148))
      | ~ product(X_148,multiplicative_identity,Z_147) ),
    inference(resolution,[status(thm)],[c_1199,c_101]) ).

tff(c_2360,plain,
    ! [Z_151] :
      ( greater_than_0(Z_151)
      | ~ product(multiplicative_identity,multiplicative_identity,Z_151) ),
    inference(resolution,[status(thm)],[c_1199,c_2223]) ).

tff(c_2412,plain,
    greater_than_0(multiplicative_identity),
    inference(resolution,[status(thm)],[c_35,c_2360]) ).

tff(c_2430,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_195,c_2412]) ).

tff(c_2432,plain,
    ~ greater_than_0(additive_inverse(multiplicative_identity)),
    inference(splitRight,[status(thm)],[c_1197]) ).

tff(c_2435,plain,
    ( product(multiplicative_identity,multiplicative_identity,additive_identity)
    | greater_than_0(multiplicative_identity) ),
    inference(resolution,[status(thm)],[c_20,c_2432]) ).

tff(c_2439,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_195,c_4,c_2435]) ).

tff(c_2441,plain,
    greater_than_0(multiplicative_identity),
    inference(splitRight,[status(thm)],[c_176]) ).

tff(c_12,plain,
    ! [X_11] :
      ( product(X_11,X_11,additive_identity)
      | product(X_11,multiplicative_inverse(X_11),multiplicative_identity) ),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_3324,plain,
    ! [X_223,X_224,Z_225] :
      ( product(X_223,X_223,additive_identity)
      | ~ product(X_224,Z_225,X_223)
      | greater_than_0(additive_inverse(X_224))
      | greater_than_0(X_224) ),
    inference(resolution,[status(thm)],[c_20,c_178]) ).

tff(c_3400,plain,
    ! [X_17] :
      ( product(additive_identity,additive_identity,additive_identity)
      | greater_than_0(additive_inverse(X_17))
      | greater_than_0(X_17) ),
    inference(resolution,[status(thm)],[c_20,c_3324]) ).

tff(c_3404,plain,
    product(additive_identity,additive_identity,additive_identity),
    inference(splitLeft,[status(thm)],[c_3400]) ).

tff(c_16,plain,
    ! [X_13] :
      ( ~ product(X_13,X_13,additive_identity)
      | ~ greater_than_0(X_13) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_3426,plain,
    ~ greater_than_0(additive_identity),
    inference(resolution,[status(thm)],[c_3404,c_16]) ).

tff(c_18,plain,
    ! [Y_15,X_14,Z_16] :
      ( product(Y_15,X_14,Z_16)
      | ~ product(X_14,Y_15,Z_16) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_102,plain,
    ! [Y_41,X_40,Z_42] :
      ( product(additive_inverse(Y_41),additive_inverse(X_40),Z_42)
      | ~ product(X_40,Y_41,Z_42) ),
    inference(resolution,[status(thm)],[c_91,c_18]) ).

tff(c_6958,plain,
    ! [Z_271,Y_272,X_273] :
      ( product(Z_271,Z_271,additive_identity)
      | greater_than_0(additive_inverse(additive_inverse(Y_272)))
      | greater_than_0(additive_inverse(Y_272))
      | ~ product(X_273,Y_272,Z_271) ),
    inference(resolution,[status(thm)],[c_102,c_3324]) ).

tff(c_7204,plain,
    ! [X_1] :
      ( product(X_1,X_1,additive_identity)
      | greater_than_0(additive_inverse(additive_inverse(multiplicative_identity)))
      | greater_than_0(additive_inverse(multiplicative_identity)) ),
    inference(resolution,[status(thm)],[c_2,c_6958]) ).

tff(c_7208,plain,
    greater_than_0(additive_inverse(multiplicative_identity)),
    inference(splitLeft,[status(thm)],[c_7204]) ).

tff(c_14,plain,
    ! [X_12] :
      ( ~ greater_than_0(additive_inverse(X_12))
      | ~ greater_than_0(X_12) ),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_7223,plain,
    ~ greater_than_0(multiplicative_identity),
    inference(resolution,[status(thm)],[c_7208,c_14]) ).

tff(c_7233,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2441,c_7223]) ).

tff(c_7235,plain,
    ~ greater_than_0(additive_inverse(multiplicative_identity)),
    inference(splitRight,[status(thm)],[c_7204]) ).

tff(c_54,plain,
    ! [X_32] :
      ( product(X_32,X_32,additive_identity)
      | product(X_32,multiplicative_inverse(X_32),multiplicative_identity) ),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_57,plain,
    ! [X_32] :
      ( product(multiplicative_inverse(X_32),X_32,multiplicative_identity)
      | product(X_32,X_32,additive_identity) ),
    inference(resolution,[status(thm)],[c_54,c_18]) ).

tff(c_3364,plain,
    ! [X_32] :
      ( product(multiplicative_identity,multiplicative_identity,additive_identity)
      | greater_than_0(additive_inverse(multiplicative_inverse(X_32)))
      | greater_than_0(multiplicative_inverse(X_32))
      | product(X_32,X_32,additive_identity) ),
    inference(resolution,[status(thm)],[c_57,c_3324]) ).

tff(c_3617,plain,
    ! [X_230] :
      ( greater_than_0(additive_inverse(multiplicative_inverse(X_230)))
      | greater_than_0(multiplicative_inverse(X_230))
      | product(X_230,X_230,additive_identity) ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_3364]) ).

tff(c_66,plain,
    ! [X_37,Z_38,Y_39] :
      ( greater_than_0(X_37)
      | ~ greater_than_0(Z_38)
      | ~ greater_than_0(Y_39)
      | ~ product(Y_39,Z_38,X_37) ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_85,plain,
    ! [Z_10,Y_9,X_8] :
      ( greater_than_0(additive_inverse(Z_10))
      | ~ greater_than_0(additive_inverse(Y_9))
      | ~ greater_than_0(X_8)
      | ~ product(X_8,Y_9,Z_10) ),
    inference(resolution,[status(thm)],[c_10,c_66]) ).

tff(c_39070,plain,
    ! [Z_605,X_606,X_607] :
      ( greater_than_0(additive_inverse(Z_605))
      | ~ greater_than_0(X_606)
      | ~ product(X_606,multiplicative_inverse(X_607),Z_605)
      | greater_than_0(multiplicative_inverse(X_607))
      | product(X_607,X_607,additive_identity) ),
    inference(resolution,[status(thm)],[c_3617,c_85]) ).

tff(c_39173,plain,
    ! [X_11] :
      ( greater_than_0(additive_inverse(multiplicative_identity))
      | ~ greater_than_0(X_11)
      | greater_than_0(multiplicative_inverse(X_11))
      | product(X_11,X_11,additive_identity) ),
    inference(resolution,[status(thm)],[c_12,c_39070]) ).

tff(c_39250,plain,
    ! [X_608] :
      ( ~ greater_than_0(X_608)
      | greater_than_0(multiplicative_inverse(X_608))
      | product(X_608,X_608,additive_identity) ),
    inference(negUnitSimplification,[status(thm)],[c_7235,c_39173]) ).

tff(c_28,plain,
    ~ greater_than_0(multiplicative_inverse(a)),
    inference(cnfTransformation,[status(thm)],[f_93]) ).

tff(c_39258,plain,
    ( ~ greater_than_0(a)
    | product(a,a,additive_identity) ),
    inference(resolution,[status(thm)],[c_39250,c_28]) ).

tff(c_39550,plain,
    product(a,a,additive_identity),
    inference(demodulation,[status(thm),theory(equality)],[c_26,c_39258]) ).

tff(c_2440,plain,
    ! [X_53] :
      ( greater_than_0(additive_inverse(additive_inverse(X_53)))
      | ~ greater_than_0(X_53) ),
    inference(splitRight,[status(thm)],[c_176]) ).

tff(c_6,plain,
    ! [X_2,Y_3,Z_4] :
      ( product(additive_inverse(X_2),additive_inverse(Y_3),Z_4)
      | ~ product(X_2,Y_3,Z_4) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_2465,plain,
    ! [Y_154,X_155,Z_156] :
      ( product(additive_inverse(Y_154),additive_inverse(X_155),Z_156)
      | ~ product(X_155,Y_154,Z_156) ),
    inference(resolution,[status(thm)],[c_91,c_18]) ).

tff(c_2988,plain,
    ! [Z_196,X_197,Y_198] :
      ( greater_than_0(Z_196)
      | ~ greater_than_0(additive_inverse(X_197))
      | ~ greater_than_0(additive_inverse(Y_198))
      | ~ product(X_197,Y_198,Z_196) ),
    inference(resolution,[status(thm)],[c_2465,c_24]) ).

tff(c_30075,plain,
    ! [Z_540,Y_541,X_542] :
      ( greater_than_0(Z_540)
      | ~ greater_than_0(additive_inverse(Y_541))
      | ~ product(additive_inverse(X_542),Y_541,Z_540)
      | ~ greater_than_0(X_542) ),
    inference(resolution,[status(thm)],[c_2440,c_2988]) ).

tff(c_32202,plain,
    ! [Z_554,Y_555,X_556] :
      ( greater_than_0(Z_554)
      | ~ greater_than_0(additive_inverse(additive_inverse(Y_555)))
      | ~ greater_than_0(X_556)
      | ~ product(X_556,Y_555,Z_554) ),
    inference(resolution,[status(thm)],[c_6,c_30075]) ).

tff(c_32266,plain,
    ! [Z_554,X_556,X_53] :
      ( greater_than_0(Z_554)
      | ~ greater_than_0(X_556)
      | ~ product(X_556,X_53,Z_554)
      | ~ greater_than_0(X_53) ),
    inference(resolution,[status(thm)],[c_2440,c_32202]) ).

tff(c_39731,plain,
    ( greater_than_0(additive_identity)
    | ~ greater_than_0(a) ),
    inference(resolution,[status(thm)],[c_39550,c_32266]) ).

tff(c_39790,plain,
    greater_than_0(additive_identity),
    inference(demodulation,[status(thm),theory(equality)],[c_26,c_39731]) ).

tff(c_39792,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3426,c_39790]) ).

tff(c_39883,plain,
    ! [X_610] :
      ( greater_than_0(additive_inverse(X_610))
      | greater_than_0(X_610) ),
    inference(splitRight,[status(thm)],[c_3400]) ).

tff(c_39958,plain,
    ! [Z_616,X_617,X_618] :
      ( greater_than_0(additive_inverse(Z_616))
      | ~ greater_than_0(X_617)
      | ~ product(X_617,X_618,Z_616)
      | greater_than_0(X_618) ),
    inference(resolution,[status(thm)],[c_39883,c_85]) ).

tff(c_40031,plain,
    ! [X_11] :
      ( greater_than_0(additive_inverse(multiplicative_identity))
      | ~ greater_than_0(X_11)
      | greater_than_0(multiplicative_inverse(X_11))
      | product(X_11,X_11,additive_identity) ),
    inference(resolution,[status(thm)],[c_12,c_39958]) ).

tff(c_41057,plain,
    greater_than_0(additive_inverse(multiplicative_identity)),
    inference(splitLeft,[status(thm)],[c_40031]) ).

tff(c_41074,plain,
    ~ greater_than_0(multiplicative_identity),
    inference(resolution,[status(thm)],[c_41057,c_14]) ).

tff(c_41085,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2441,c_41074]) ).

tff(c_41093,plain,
    ! [X_662] :
      ( ~ greater_than_0(X_662)
      | greater_than_0(multiplicative_inverse(X_662))
      | product(X_662,X_662,additive_identity) ),
    inference(splitRight,[status(thm)],[c_40031]) ).

tff(c_41096,plain,
    ( ~ greater_than_0(a)
    | product(a,a,additive_identity) ),
    inference(resolution,[status(thm)],[c_41093,c_28]) ).

tff(c_41184,plain,
    product(a,a,additive_identity),
    inference(demodulation,[status(thm),theory(equality)],[c_26,c_41096]) ).

tff(c_41253,plain,
    ~ greater_than_0(a),
    inference(resolution,[status(thm)],[c_41184,c_16]) ).

tff(c_41288,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_26,c_41253]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : ALG002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14  % 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
% 0.14/0.36  % Computer : n024.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 20:20:00 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 15.29/6.27  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.29/6.28  
% 15.29/6.28  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.42/6.33  
% 15.42/6.33  Inference rules
% 15.42/6.33  ----------------------
% 15.42/6.33  #Ref     : 0
% 15.42/6.33  #Sup     : 9162
% 15.42/6.33  #Fact    : 0
% 15.42/6.33  #Define  : 0
% 15.42/6.33  #Split   : 8
% 15.42/6.33  #Chain   : 0
% 15.42/6.33  #Close   : 0
% 15.42/6.33  
% 15.42/6.33  Ordering : KBO
% 15.42/6.33  
% 15.42/6.33  Simplification rules
% 15.42/6.33  ----------------------
% 15.42/6.33  #Subsume      : 3020
% 15.42/6.33  #Demod        : 2732
% 15.42/6.33  #Tautology    : 2142
% 15.42/6.33  #SimpNegUnit  : 1749
% 15.42/6.33  #BackRed      : 0
% 15.42/6.33  
% 15.42/6.33  #Partial instantiations: 0
% 15.42/6.33  #Strategies tried      : 1
% 15.42/6.33  
% 15.42/6.33  Timing (in seconds)
% 15.42/6.33  ----------------------
% 15.42/6.33  Preprocessing        : 0.43
% 15.42/6.33  Parsing              : 0.24
% 15.42/6.33  CNF conversion       : 0.02
% 15.42/6.33  Main loop            : 4.73
% 15.42/6.33  Inferencing          : 0.98
% 15.42/6.33  Reduction            : 1.37
% 15.42/6.33  Demodulation         : 0.94
% 15.42/6.33  BG Simplification    : 0.06
% 15.42/6.33  Subsumption          : 1.90
% 15.42/6.34  Abstraction          : 0.09
% 15.42/6.34  MUC search           : 0.00
% 15.42/6.34  Cooper               : 0.00
% 15.42/6.34  Total                : 5.23
% 15.42/6.34  Index Insertion      : 0.00
% 15.42/6.34  Index Deletion       : 0.00
% 15.42/6.34  Index Matching       : 0.00
% 15.42/6.34  BG Taut test         : 0.00
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