TSTP Solution File: KLE082+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : KLE082+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n023.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 10:44:49 EDT 2023

% Result   : Theorem 150.19s 127.79s
% Output   : CNFRefutation 150.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   94 (  84 unt;   9 typ;   0 def)
%            Number of atoms       :   87 (  86 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    5 (   3   ~;   0   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   5   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :  134 (; 134   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ leq > multiplication > addition > #nlpp > domain > antidomain > zero > one > #skF_2 > #skF_1

%Foreground sorts:

%Background operators:

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

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

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

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

tff('#skF_2',type,
    '#skF_2': $i ).

tff('#skF_1',type,
    '#skF_1': $i ).

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

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

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

tff(f_60,axiom,
    ! [A] : ( addition(A,A) = A ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).

tff(f_65,axiom,
    ! [A] : ( multiplication(A,one) = A ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).

tff(f_54,axiom,
    ! [A,B] : ( addition(A,B) = addition(B,A) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).

tff(f_132,negated_conjecture,
    ~ ! [X0,X1] :
        ( ! [X2] :
            ( ( addition(domain(X2),antidomain(X2)) = one )
            & ( multiplication(domain(X2),antidomain(X2)) = zero ) )
       => ( addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,domain(X1)))) = antidomain(multiplication(X0,domain(X1))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

tff(f_56,axiom,
    ! [C,B,A] : ( addition(A,addition(B,C)) = addition(addition(A,B),C) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).

tff(f_67,axiom,
    ! [A] : ( multiplication(one,A) = A ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).

tff(f_117,axiom,
    ! [X0,X1] : ( domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain2) ).

tff(f_58,axiom,
    ! [A] : ( addition(A,zero) = A ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).

tff(f_72,axiom,
    ! [A,B,C] : ( multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).

tff(f_70,axiom,
    ! [A,B,C] : ( multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).

tff(f_119,axiom,
    ! [X0] : ( addition(domain(X0),one) = one ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain3) ).

tff(f_115,axiom,
    ! [X0] : ( addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain1) ).

tff(f_122,axiom,
    ! [X0,X1] : ( domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain5) ).

tff(c_8,plain,
    ! [A_7] : ( addition(A_7,A_7) = A_7 ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_12,plain,
    ! [A_11] : ( multiplication(A_11,one) = A_11 ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_172,plain,
    ! [B_39,A_40] : ( addition(B_39,A_40) = addition(A_40,B_39) ),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_40,plain,
    ! [X2_30] : ( addition(domain(X2_30),antidomain(X2_30)) = one ),
    inference(cnfTransformation,[status(thm)],[f_132]) ).

tff(c_187,plain,
    ! [X2_30] : ( addition(antidomain(X2_30),domain(X2_30)) = one ),
    inference(superposition,[status(thm),theory(equality)],[c_172,c_40]) ).

tff(c_2,plain,
    ! [B_2,A_1] : ( addition(B_2,A_1) = addition(A_1,B_2) ),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_2149,plain,
    ! [A_79,B_80,C_81] : ( addition(addition(A_79,B_80),C_81) = addition(A_79,addition(B_80,C_81)) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_3036,plain,
    ! [A_95,C_96] : ( addition(A_95,addition(A_95,C_96)) = addition(A_95,C_96) ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_2149]) ).

tff(c_3119,plain,
    ! [X2_30] : ( addition(antidomain(X2_30),domain(X2_30)) = addition(antidomain(X2_30),one) ),
    inference(superposition,[status(thm),theory(equality)],[c_187,c_3036]) ).

tff(c_3172,plain,
    ! [X2_30] : ( addition(one,antidomain(X2_30)) = one ),
    inference(demodulation,[status(thm),theory(equality)],[c_187,c_2,c_3119]) ).

tff(c_14,plain,
    ! [A_12] : ( multiplication(one,A_12) = A_12 ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_379,plain,
    ! [X0_49,X1_50] : ( domain(multiplication(X0_49,domain(X1_50))) = domain(multiplication(X0_49,X1_50)) ),
    inference(cnfTransformation,[status(thm)],[f_117]) ).

tff(c_408,plain,
    ! [X1_50] : ( domain(multiplication(one,X1_50)) = domain(domain(X1_50)) ),
    inference(superposition,[status(thm),theory(equality)],[c_14,c_379]) ).

tff(c_425,plain,
    ! [X1_51] : ( domain(domain(X1_51)) = domain(X1_51) ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_408]) ).

tff(c_437,plain,
    ! [X1_51] : ( addition(antidomain(domain(X1_51)),domain(X1_51)) = one ),
    inference(superposition,[status(thm),theory(equality)],[c_425,c_187]) ).

tff(c_6,plain,
    ! [A_6] : ( addition(A_6,zero) = A_6 ),
    inference(cnfTransformation,[status(thm)],[f_58]) ).

tff(c_42,plain,
    ! [X2_30] : ( multiplication(domain(X2_30),antidomain(X2_30)) = zero ),
    inference(cnfTransformation,[status(thm)],[f_132]) ).

tff(c_2330,plain,
    ! [A_83,C_84,B_85] : ( addition(multiplication(A_83,C_84),multiplication(B_85,C_84)) = multiplication(addition(A_83,B_85),C_84) ),
    inference(cnfTransformation,[status(thm)],[f_72]) ).

tff(c_2397,plain,
    ! [A_83,X2_30] : ( multiplication(addition(A_83,domain(X2_30)),antidomain(X2_30)) = addition(multiplication(A_83,antidomain(X2_30)),zero) ),
    inference(superposition,[status(thm),theory(equality)],[c_42,c_2330]) ).

tff(c_18191,plain,
    ! [A_210,X2_211] : ( multiplication(addition(A_210,domain(X2_211)),antidomain(X2_211)) = multiplication(A_210,antidomain(X2_211)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_2397]) ).

tff(c_18371,plain,
    ! [X1_51] : ( multiplication(antidomain(domain(X1_51)),antidomain(X1_51)) = multiplication(one,antidomain(X1_51)) ),
    inference(superposition,[status(thm),theory(equality)],[c_437,c_18191]) ).

tff(c_18609,plain,
    ! [X1_213] : ( multiplication(antidomain(domain(X1_213)),antidomain(X1_213)) = antidomain(X1_213) ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_18371]) ).

tff(c_2523,plain,
    ! [A_87,B_88,C_89] : ( addition(multiplication(A_87,B_88),multiplication(A_87,C_89)) = multiplication(A_87,addition(B_88,C_89)) ),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_2623,plain,
    ! [A_11,C_89] : ( multiplication(A_11,addition(one,C_89)) = addition(A_11,multiplication(A_11,C_89)) ),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_2523]) ).

tff(c_18643,plain,
    ! [X1_213] : ( multiplication(antidomain(domain(X1_213)),addition(one,antidomain(X1_213))) = addition(antidomain(domain(X1_213)),antidomain(X1_213)) ),
    inference(superposition,[status(thm),theory(equality)],[c_18609,c_2623]) ).

tff(c_18763,plain,
    ! [X1_213] : ( addition(antidomain(X1_213),antidomain(domain(X1_213))) = antidomain(domain(X1_213)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_3172,c_2,c_18643]) ).

tff(c_206,plain,
    ! [A_40] : ( addition(zero,A_40) = A_40 ),
    inference(superposition,[status(thm),theory(equality)],[c_172,c_6]) ).

tff(c_2256,plain,
    ! [A_7,C_81] : ( addition(A_7,addition(A_7,C_81)) = addition(A_7,C_81) ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_2149]) ).

tff(c_4736,plain,
    ! [C_113,A_114,B_115] : ( addition(C_113,addition(A_114,B_115)) = addition(A_114,addition(B_115,C_113)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2149,c_2]) ).

tff(c_9249,plain,
    ! [A_151,C_152] : ( addition(zero,addition(A_151,C_152)) = addition(C_152,A_151) ),
    inference(superposition,[status(thm),theory(equality)],[c_206,c_4736]) ).

tff(c_9421,plain,
    ! [A_7,C_81] : ( addition(addition(A_7,C_81),A_7) = addition(zero,addition(A_7,C_81)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2256,c_9249]) ).

tff(c_9527,plain,
    ! [A_7,C_81] : ( addition(addition(A_7,C_81),A_7) = addition(A_7,C_81) ),
    inference(demodulation,[status(thm),theory(equality)],[c_206,c_9421]) ).

tff(c_32,plain,
    ! [X0_26] : ( addition(domain(X0_26),one) = one ),
    inference(cnfTransformation,[status(thm)],[f_119]) ).

tff(c_237,plain,
    ! [X0_26] : ( addition(one,domain(X0_26)) = one ),
    inference(superposition,[status(thm),theory(equality)],[c_32,c_172]) ).

tff(c_7530,plain,
    ! [B_137,A_138] : ( multiplication(addition(one,B_137),A_138) = addition(A_138,multiplication(B_137,A_138)) ),
    inference(superposition,[status(thm),theory(equality)],[c_14,c_2330]) ).

tff(c_28,plain,
    ! [X0_23] : ( addition(X0_23,multiplication(domain(X0_23),X0_23)) = multiplication(domain(X0_23),X0_23) ),
    inference(cnfTransformation,[status(thm)],[f_115]) ).

tff(c_7609,plain,
    ! [A_138] : ( multiplication(addition(one,domain(A_138)),A_138) = multiplication(domain(A_138),A_138) ),
    inference(superposition,[status(thm),theory(equality)],[c_7530,c_28]) ).

tff(c_7774,plain,
    ! [A_138] : ( multiplication(domain(A_138),A_138) = A_138 ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_237,c_7609]) ).

tff(c_1673,plain,
    ! [X0_76] : ( addition(X0_76,multiplication(domain(X0_76),X0_76)) = multiplication(domain(X0_76),X0_76) ),
    inference(cnfTransformation,[status(thm)],[f_115]) ).

tff(c_1723,plain,
    multiplication(domain(one),one) = addition(one,domain(one)),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_1673]) ).

tff(c_1739,plain,
    domain(one) = one,
    inference(demodulation,[status(thm),theory(equality)],[c_237,c_12,c_1723]) ).

tff(c_36,plain,
    ! [X0_27,X1_28] : ( addition(domain(X0_27),domain(X1_28)) = domain(addition(X0_27,X1_28)) ),
    inference(cnfTransformation,[status(thm)],[f_122]) ).

tff(c_1771,plain,
    ! [X1_28] : ( addition(one,domain(X1_28)) = domain(addition(one,X1_28)) ),
    inference(superposition,[status(thm),theory(equality)],[c_1739,c_36]) ).

tff(c_1997,plain,
    ! [X1_78] : ( domain(addition(one,X1_78)) = one ),
    inference(demodulation,[status(thm),theory(equality)],[c_237,c_1771]) ).

tff(c_30,plain,
    ! [X0_24,X1_25] : ( domain(multiplication(X0_24,domain(X1_25))) = domain(multiplication(X0_24,X1_25)) ),
    inference(cnfTransformation,[status(thm)],[f_117]) ).

tff(c_2065,plain,
    ! [X0_24,X1_78] : ( domain(multiplication(X0_24,addition(one,X1_78))) = domain(multiplication(X0_24,one)) ),
    inference(superposition,[status(thm),theory(equality)],[c_1997,c_30]) ).

tff(c_2134,plain,
    ! [X0_24,X1_78] : ( domain(multiplication(X0_24,addition(one,X1_78))) = domain(X0_24) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_2065]) ).

tff(c_574,plain,
    ! [X0_55,X1_56] : ( addition(domain(X0_55),domain(X1_56)) = domain(addition(X0_55,X1_56)) ),
    inference(cnfTransformation,[status(thm)],[f_122]) ).

tff(c_608,plain,
    ! [X1_56,X0_55] : ( addition(domain(X1_56),domain(X0_55)) = domain(addition(X0_55,X1_56)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_574]) ).

tff(c_5342,plain,
    ! [A_118,B_119,C_120] : ( addition(addition(A_118,B_119),C_120) = addition(B_119,addition(A_118,C_120)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_2149]) ).

tff(c_13184,plain,
    ! [X2_178,C_179] : ( addition(antidomain(X2_178),addition(domain(X2_178),C_179)) = addition(one,C_179) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_5342]) ).

tff(c_13404,plain,
    ! [X1_56,X0_55] : ( addition(antidomain(X1_56),domain(addition(X0_55,X1_56))) = addition(one,domain(X0_55)) ),
    inference(superposition,[status(thm),theory(equality)],[c_608,c_13184]) ).

tff(c_13703,plain,
    ! [X1_182,X0_183] : ( addition(antidomain(X1_182),domain(addition(X0_183,X1_182))) = one ),
    inference(demodulation,[status(thm),theory(equality)],[c_237,c_13404]) ).

tff(c_13845,plain,
    ! [A_11,C_89] : ( addition(antidomain(multiplication(A_11,C_89)),domain(multiplication(A_11,addition(one,C_89)))) = one ),
    inference(superposition,[status(thm),theory(equality)],[c_2623,c_13703]) ).

tff(c_14011,plain,
    ! [A_11,C_89] : ( addition(domain(A_11),antidomain(multiplication(A_11,C_89))) = one ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_2134,c_13845]) ).

tff(c_2394,plain,
    ! [X2_30,B_85] : ( multiplication(addition(domain(X2_30),B_85),antidomain(X2_30)) = addition(zero,multiplication(B_85,antidomain(X2_30))) ),
    inference(superposition,[status(thm),theory(equality)],[c_42,c_2330]) ).

tff(c_20251,plain,
    ! [X2_222,B_223] : ( multiplication(addition(domain(X2_222),B_223),antidomain(X2_222)) = multiplication(B_223,antidomain(X2_222)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_206,c_2394]) ).

tff(c_20322,plain,
    ! [A_11,C_89] : ( multiplication(antidomain(multiplication(A_11,C_89)),antidomain(A_11)) = multiplication(one,antidomain(A_11)) ),
    inference(superposition,[status(thm),theory(equality)],[c_14011,c_20251]) ).

tff(c_159715,plain,
    ! [A_632,C_633] : ( multiplication(antidomain(multiplication(A_632,C_633)),antidomain(A_632)) = antidomain(A_632) ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_20322]) ).

tff(c_320311,plain,
    ! [A_884] : ( multiplication(antidomain(A_884),antidomain(domain(A_884))) = antidomain(domain(A_884)) ),
    inference(superposition,[status(thm),theory(equality)],[c_7774,c_159715]) ).

tff(c_6032,plain,
    ! [A_125,C_126] : ( multiplication(A_125,addition(one,C_126)) = addition(A_125,multiplication(A_125,C_126)) ),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_2523]) ).

tff(c_2626,plain,
    ! [A_11,B_88] : ( multiplication(A_11,addition(B_88,one)) = addition(multiplication(A_11,B_88),A_11) ),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_2523]) ).

tff(c_6068,plain,
    ! [A_125,C_126] : ( multiplication(A_125,addition(addition(one,C_126),one)) = addition(addition(A_125,multiplication(A_125,C_126)),A_125) ),
    inference(superposition,[status(thm),theory(equality)],[c_6032,c_2626]) ).

tff(c_6233,plain,
    ! [A_125,C_126] : ( addition(addition(A_125,multiplication(A_125,C_126)),A_125) = multiplication(A_125,addition(one,C_126)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2256,c_2,c_6068]) ).

tff(c_320347,plain,
    ! [A_884] : ( addition(addition(antidomain(A_884),antidomain(domain(A_884))),antidomain(A_884)) = multiplication(antidomain(A_884),addition(one,antidomain(domain(A_884)))) ),
    inference(superposition,[status(thm),theory(equality)],[c_320311,c_6233]) ).

tff(c_320916,plain,
    ! [A_884] : ( antidomain(domain(A_884)) = antidomain(A_884) ),
    inference(demodulation,[status(thm),theory(equality)],[c_18763,c_9527,c_12,c_3172,c_320347]) ).

tff(c_321199,plain,
    ! [A_885] : ( antidomain(domain(A_885)) = antidomain(A_885) ),
    inference(demodulation,[status(thm),theory(equality)],[c_18763,c_9527,c_12,c_3172,c_320347]) ).

tff(c_321774,plain,
    ! [X0_24,X1_25] : ( antidomain(multiplication(X0_24,domain(X1_25))) = antidomain(domain(multiplication(X0_24,X1_25))) ),
    inference(superposition,[status(thm),theory(equality)],[c_30,c_321199]) ).

tff(c_321973,plain,
    ! [X0_24,X1_25] : ( antidomain(multiplication(X0_24,domain(X1_25))) = antidomain(multiplication(X0_24,X1_25)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_320916,c_321774]) ).

tff(c_38,plain,
    addition(antidomain(multiplication('#skF_1','#skF_2')),antidomain(multiplication('#skF_1',domain('#skF_2')))) != antidomain(multiplication('#skF_1',domain('#skF_2'))),
    inference(cnfTransformation,[status(thm)],[f_132]) ).

tff(c_515898,plain,
    addition(antidomain(multiplication('#skF_1','#skF_2')),antidomain(multiplication('#skF_1','#skF_2'))) != antidomain(multiplication('#skF_1','#skF_2')),
    inference(demodulation,[status(thm),theory(equality)],[c_321973,c_321973,c_38]) ).

tff(c_515907,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_515898]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KLE082+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35  % Computer : n023.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 23:46:37 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 150.19/127.79  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 150.19/127.80  
% 150.19/127.80  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 150.19/127.84  
% 150.19/127.84  Inference rules
% 150.19/127.84  ----------------------
% 150.19/127.84  #Ref     : 0
% 150.19/127.84  #Sup     : 130357
% 150.19/127.84  #Fact    : 0
% 150.19/127.84  #Define  : 0
% 150.19/127.84  #Split   : 0
% 150.19/127.84  #Chain   : 0
% 150.19/127.84  #Close   : 0
% 150.19/127.84  
% 150.19/127.84  Ordering : KBO
% 150.19/127.84  
% 150.19/127.84  Simplification rules
% 150.19/127.84  ----------------------
% 150.19/127.84  #Subsume      : 4694
% 150.19/127.84  #Demod        : 262590
% 150.19/127.84  #Tautology    : 70341
% 150.19/127.84  #SimpNegUnit  : 0
% 150.19/127.84  #BackRed      : 158
% 150.19/127.84  
% 150.19/127.84  #Partial instantiations: 0
% 150.19/127.84  #Strategies tried      : 1
% 150.19/127.84  
% 150.19/127.84  Timing (in seconds)
% 150.19/127.84  ----------------------
% 150.19/127.84  Preprocessing        : 0.48
% 150.19/127.84  Parsing              : 0.26
% 150.19/127.84  CNF conversion       : 0.03
% 150.19/127.84  Main loop            : 126.28
% 150.19/127.84  Inferencing          : 6.30
% 150.19/127.84  Reduction            : 92.90
% 150.19/127.84  Demodulation         : 88.97
% 150.19/127.84  BG Simplification    : 0.78
% 150.19/127.84  Subsumption          : 20.45
% 150.19/127.84  Abstraction          : 1.78
% 150.19/127.84  MUC search           : 0.00
% 150.19/127.84  Cooper               : 0.00
% 150.19/127.84  Total                : 126.82
% 150.19/127.84  Index Insertion      : 0.00
% 150.19/127.84  Index Deletion       : 0.00
% 150.19/127.84  Index Matching       : 0.00
% 150.19/127.84  BG Taut test         : 0.00
%------------------------------------------------------------------------------