TSTP Solution File: RNG008-7 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : RNG008-7 : 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 : n013.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 10:54:42 EDT 2023

% Result   : Unsatisfiable 14.02s 5.70s
% Output   : CNFRefutation 14.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  106 (  99 unt;   7 typ;   0 def)
%            Number of atoms       :   99 (  98 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   3   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  136 (; 136   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ multiply > add > #nlpp > additive_inverse > c > b > additive_identity > a

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

tff(f_80,axiom,
    multiply(b,a) != c,
    file(unknown,unknown) ).

tff(f_54,axiom,
    ! [X] : ( add(X,additive_identity) = X ),
    file(unknown,unknown) ).

tff(f_65,axiom,
    ! [X,Y] : ( add(X,Y) = add(Y,X) ),
    file(unknown,unknown) ).

tff(f_77,axiom,
    ! [X] : ( multiply(X,X) = X ),
    file(unknown,unknown) ).

tff(f_73,axiom,
    ! [X,Y,Z] : ( multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) ),
    file(unknown,unknown) ).

tff(f_78,axiom,
    multiply(a,b) = c,
    file(unknown,unknown) ).

tff(f_68,axiom,
    ! [X,Y,Z] : ( multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z) ),
    file(unknown,unknown) ).

tff(f_52,axiom,
    ! [X] : ( add(additive_identity,X) = X ),
    file(unknown,unknown) ).

tff(f_59,axiom,
    ! [X] : ( add(X,additive_inverse(X)) = additive_identity ),
    file(unknown,unknown) ).

tff(f_57,axiom,
    ! [X] : ( add(additive_inverse(X),X) = additive_identity ),
    file(unknown,unknown) ).

tff(f_62,axiom,
    ! [X,Y,Z] : ( add(X,add(Y,Z)) = add(add(X,Y),Z) ),
    file(unknown,unknown) ).

tff(f_71,axiom,
    ! [X,Y,Z] : ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ),
    file(unknown,unknown) ).

tff(c_24,plain,
    multiply(b,a) != c,
    inference(cnfTransformation,[status(thm)],[f_80]) ).

tff(c_4,plain,
    ! [X_2] : ( add(X_2,additive_identity) = X_2 ),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_12,plain,
    ! [Y_9,X_8] : ( add(Y_9,X_8) = add(X_8,Y_9) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_20,plain,
    ! [X_19] : ( multiply(X_19,X_19) = X_19 ),
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_423,plain,
    ! [X_37,Z_38,Y_39] : ( add(multiply(X_37,Z_38),multiply(Y_39,Z_38)) = multiply(add(X_37,Y_39),Z_38) ),
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_459,plain,
    ! [X_37,X_19] : ( multiply(add(X_37,X_19),X_19) = add(multiply(X_37,X_19),X_19) ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_423]) ).

tff(c_468,plain,
    ! [X_37,X_19] : ( multiply(add(X_37,X_19),X_19) = add(X_19,multiply(X_37,X_19)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_459]) ).

tff(c_22,plain,
    multiply(a,b) = c,
    inference(cnfTransformation,[status(thm)],[f_78]) ).

tff(c_389,plain,
    ! [X_34,Y_35,Z_36] : ( multiply(multiply(X_34,Y_35),Z_36) = multiply(X_34,multiply(Y_35,Z_36)) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_801,plain,
    ! [Z_49] : ( multiply(a,multiply(b,Z_49)) = multiply(c,Z_49) ),
    inference(superposition,[status(thm),theory(equality)],[c_22,c_389]) ).

tff(c_826,plain,
    multiply(c,b) = multiply(a,b),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_801]) ).

tff(c_830,plain,
    multiply(c,b) = c,
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_826]) ).

tff(c_2,plain,
    ! [X_1] : ( add(additive_identity,X_1) = X_1 ),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_66,plain,
    ! [X_23] : ( add(X_23,additive_inverse(X_23)) = additive_identity ),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_72,plain,
    additive_inverse(additive_identity) = additive_identity,
    inference(superposition,[status(thm),theory(equality)],[c_66,c_2]) ).

tff(c_6,plain,
    ! [X_3] : ( add(additive_inverse(X_3),X_3) = additive_identity ),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_198,plain,
    ! [X_27,Y_28,Z_29] : ( add(add(X_27,Y_28),Z_29) = add(X_27,add(Y_28,Z_29)) ),
    inference(cnfTransformation,[status(thm)],[f_62]) ).

tff(c_241,plain,
    ! [X_3,Z_29] : ( add(additive_inverse(X_3),add(X_3,Z_29)) = add(additive_identity,Z_29) ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_198]) ).

tff(c_269,plain,
    ! [X_30,Z_31] : ( add(additive_inverse(X_30),add(X_30,Z_31)) = Z_31 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_241]) ).

tff(c_316,plain,
    ! [X_32] : ( add(additive_inverse(additive_inverse(X_32)),additive_identity) = X_32 ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_269]) ).

tff(c_334,plain,
    ! [X_32] : ( additive_inverse(additive_inverse(X_32)) = X_32 ),
    inference(superposition,[status(thm),theory(equality)],[c_316,c_4]) ).

tff(c_738,plain,
    ! [X_46,Y_47,Z_48] : ( add(multiply(X_46,Y_47),multiply(X_46,Z_48)) = multiply(X_46,add(Y_47,Z_48)) ),
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_785,plain,
    ! [X_19,Y_47] : ( multiply(X_19,add(Y_47,X_19)) = add(multiply(X_19,Y_47),X_19) ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_738]) ).

tff(c_6628,plain,
    ! [X_105,Y_106] : ( multiply(X_105,add(Y_106,X_105)) = add(X_105,multiply(X_105,Y_106)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_785]) ).

tff(c_6781,plain,
    ! [X_1] : ( add(X_1,multiply(X_1,additive_identity)) = multiply(X_1,X_1) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_6628]) ).

tff(c_6802,plain,
    ! [X_107] : ( add(X_107,multiply(X_107,additive_identity)) = X_107 ),
    inference(demodulation,[status(thm),theory(equality)],[c_20,c_6781]) ).

tff(c_264,plain,
    ! [X_3,Z_29] : ( add(additive_inverse(X_3),add(X_3,Z_29)) = Z_29 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_241]) ).

tff(c_6884,plain,
    ! [X_107] : ( add(additive_inverse(X_107),X_107) = multiply(X_107,additive_identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_6802,c_264]) ).

tff(c_6946,plain,
    ! [X_107] : ( multiply(X_107,additive_identity) = additive_identity ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_6884]) ).

tff(c_6775,plain,
    ! [X_3] : ( add(X_3,multiply(X_3,additive_inverse(X_3))) = multiply(X_3,additive_identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_6628]) ).

tff(c_7961,plain,
    ! [X_116] : ( add(X_116,multiply(X_116,additive_inverse(X_116))) = additive_identity ),
    inference(demodulation,[status(thm),theory(equality)],[c_6946,c_6775]) ).

tff(c_8,plain,
    ! [X_4] : ( add(X_4,additive_inverse(X_4)) = additive_identity ),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_949,plain,
    ! [X_52,Y_53] : ( add(X_52,add(Y_53,additive_inverse(add(X_52,Y_53)))) = additive_identity ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_198]) ).

tff(c_244,plain,
    ! [X_4,Z_29] : ( add(X_4,add(additive_inverse(X_4),Z_29)) = add(additive_identity,Z_29) ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_198]) ).

tff(c_265,plain,
    ! [X_4,Z_29] : ( add(X_4,add(additive_inverse(X_4),Z_29)) = Z_29 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_244]) ).

tff(c_961,plain,
    ! [Y_53,X_4] : ( add(Y_53,additive_inverse(add(additive_inverse(X_4),Y_53))) = add(X_4,additive_identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_949,c_265]) ).

tff(c_1166,plain,
    ! [Y_56,X_57] : ( add(Y_56,additive_inverse(add(additive_inverse(X_57),Y_56))) = X_57 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_961]) ).

tff(c_471,plain,
    ! [X_40,Z_41] : ( add(X_40,add(additive_inverse(X_40),Z_41)) = Z_41 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_244]) ).

tff(c_513,plain,
    ! [X_40,Y_9] : ( add(X_40,add(Y_9,additive_inverse(X_40))) = Y_9 ),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_471]) ).

tff(c_1182,plain,
    ! [X_57,Y_56] : ( add(add(additive_inverse(X_57),Y_56),X_57) = Y_56 ),
    inference(superposition,[status(thm),theory(equality)],[c_1166,c_513]) ).

tff(c_8027,plain,
    ! [X_57] : ( multiply(additive_inverse(X_57),additive_inverse(additive_inverse(X_57))) = add(additive_identity,X_57) ),
    inference(superposition,[status(thm),theory(equality)],[c_7961,c_1182]) ).

tff(c_8108,plain,
    ! [X_57] : ( multiply(additive_inverse(X_57),X_57) = X_57 ),
    inference(demodulation,[status(thm),theory(equality)],[c_334,c_2,c_8027]) ).

tff(c_7383,plain,
    ! [X_111,X_112] : ( multiply(add(X_111,X_112),X_112) = add(X_112,multiply(X_111,X_112)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_459]) ).

tff(c_7532,plain,
    ! [X_1] : ( add(X_1,multiply(additive_identity,X_1)) = multiply(X_1,X_1) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_7383]) ).

tff(c_7558,plain,
    ! [X_113] : ( add(X_113,multiply(additive_identity,X_113)) = X_113 ),
    inference(demodulation,[status(thm),theory(equality)],[c_20,c_7532]) ).

tff(c_7643,plain,
    ! [X_113] : ( add(additive_inverse(X_113),X_113) = multiply(additive_identity,X_113) ),
    inference(superposition,[status(thm),theory(equality)],[c_7558,c_264]) ).

tff(c_7728,plain,
    ! [X_113] : ( multiply(additive_identity,X_113) = additive_identity ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_7643]) ).

tff(c_7526,plain,
    ! [X_3] : ( add(X_3,multiply(additive_inverse(X_3),X_3)) = multiply(additive_identity,X_3) ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_7383]) ).

tff(c_8747,plain,
    ! [X_123] : ( add(X_123,X_123) = additive_identity ),
    inference(demodulation,[status(thm),theory(equality)],[c_8108,c_7728,c_7526]) ).

tff(c_293,plain,
    ! [Y_9,X_8] : ( add(additive_inverse(Y_9),add(X_8,Y_9)) = X_8 ),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_269]) ).

tff(c_550,plain,
    ! [Y_42,X_43] : ( add(additive_inverse(Y_42),add(X_43,Y_42)) = X_43 ),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_269]) ).

tff(c_576,plain,
    ! [X_8,Y_9] : ( add(additive_inverse(add(X_8,Y_9)),X_8) = additive_inverse(Y_9) ),
    inference(superposition,[status(thm),theory(equality)],[c_293,c_550]) ).

tff(c_8813,plain,
    ! [X_123] : ( add(additive_inverse(additive_identity),X_123) = additive_inverse(X_123) ),
    inference(superposition,[status(thm),theory(equality)],[c_8747,c_576]) ).

tff(c_8941,plain,
    ! [X_123] : ( additive_inverse(X_123) = X_123 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_72,c_8813]) ).

tff(c_8987,plain,
    ! [X_4,Z_29] : ( add(X_4,add(X_4,Z_29)) = Z_29 ),
    inference(demodulation,[status(thm),theory(equality)],[c_8941,c_265]) ).

tff(c_8744,plain,
    ! [X_3] : ( add(X_3,X_3) = additive_identity ),
    inference(demodulation,[status(thm),theory(equality)],[c_8108,c_7728,c_7526]) ).

tff(c_16,plain,
    ! [X_13,Y_14,Z_15] : ( add(multiply(X_13,Y_14),multiply(X_13,Z_15)) = multiply(X_13,add(Y_14,Z_15)) ),
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_408,plain,
    ! [X_19,Z_36] : ( multiply(X_19,multiply(X_19,Z_36)) = multiply(X_19,Z_36) ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_389]) ).

tff(c_9679,plain,
    ! [X_133,Z_134,Y_135] : ( add(multiply(X_133,Z_134),multiply(X_133,Y_135)) = multiply(X_133,add(Y_135,Z_134)) ),
    inference(superposition,[status(thm),theory(equality)],[c_738,c_12]) ).

tff(c_9847,plain,
    ! [X_19,Y_135,Z_36] : ( multiply(X_19,add(Y_135,multiply(X_19,Z_36))) = add(multiply(X_19,Z_36),multiply(X_19,Y_135)) ),
    inference(superposition,[status(thm),theory(equality)],[c_408,c_9679]) ).

tff(c_23083,plain,
    ! [X_215,Y_216,Z_217] : ( multiply(X_215,add(Y_216,multiply(X_215,Z_217))) = multiply(X_215,add(Z_217,Y_216)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_16,c_9847]) ).

tff(c_23321,plain,
    ! [X_215,Z_217] : ( multiply(X_215,add(Z_217,multiply(X_215,Z_217))) = multiply(X_215,additive_identity) ),
    inference(superposition,[status(thm),theory(equality)],[c_8744,c_23083]) ).

tff(c_23490,plain,
    ! [X_218,Z_219] : ( multiply(X_218,add(Z_219,multiply(X_218,Z_219))) = additive_identity ),
    inference(demodulation,[status(thm),theory(equality)],[c_6946,c_23321]) ).

tff(c_23726,plain,
    ! [X_37,X_19] : ( multiply(add(X_37,X_19),add(X_19,add(X_19,multiply(X_37,X_19)))) = additive_identity ),
    inference(superposition,[status(thm),theory(equality)],[c_468,c_23490]) ).

tff(c_24577,plain,
    ! [X_222,X_223] : ( multiply(add(X_222,X_223),multiply(X_222,X_223)) = additive_identity ),
    inference(demodulation,[status(thm),theory(equality)],[c_8987,c_23726]) ).

tff(c_24895,plain,
    multiply(add(c,b),c) = additive_identity,
    inference(superposition,[status(thm),theory(equality)],[c_830,c_24577]) ).

tff(c_24998,plain,
    add(c,multiply(b,c)) = additive_identity,
    inference(demodulation,[status(thm),theory(equality)],[c_468,c_12,c_24895]) ).

tff(c_25631,plain,
    multiply(b,c) = add(c,additive_identity),
    inference(superposition,[status(thm),theory(equality)],[c_24998,c_8987]) ).

tff(c_25698,plain,
    multiply(b,c) = c,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_25631]) ).

tff(c_796,plain,
    ! [X_19,Y_47] : ( multiply(X_19,add(Y_47,X_19)) = add(X_19,multiply(X_19,Y_47)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_785]) ).

tff(c_782,plain,
    ! [X_19,Z_48] : ( multiply(X_19,add(X_19,Z_48)) = add(X_19,multiply(X_19,Z_48)) ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_738]) ).

tff(c_8547,plain,
    ! [X_121,Z_122] : ( multiply(X_121,add(X_121,Z_122)) = add(X_121,multiply(X_121,Z_122)) ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_738]) ).

tff(c_8576,plain,
    ! [X_121,Z_122] : ( multiply(X_121,add(X_121,multiply(X_121,Z_122))) = multiply(X_121,add(X_121,Z_122)) ),
    inference(superposition,[status(thm),theory(equality)],[c_8547,c_408]) ).

tff(c_25112,plain,
    ! [X_224,Z_225] : ( multiply(X_224,add(X_224,multiply(X_224,Z_225))) = add(X_224,multiply(X_224,Z_225)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_782,c_8576]) ).

tff(c_25448,plain,
    multiply(a,add(a,c)) = add(a,multiply(a,b)),
    inference(superposition,[status(thm),theory(equality)],[c_22,c_25112]) ).

tff(c_25541,plain,
    multiply(a,add(a,c)) = add(a,c),
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_25448]) ).

tff(c_23859,plain,
    ! [X_37,X_19] : ( multiply(add(X_37,X_19),multiply(X_37,X_19)) = additive_identity ),
    inference(demodulation,[status(thm),theory(equality)],[c_8987,c_23726]) ).

tff(c_26265,plain,
    multiply(add(a,add(a,c)),add(a,c)) = additive_identity,
    inference(superposition,[status(thm),theory(equality)],[c_25541,c_23859]) ).

tff(c_26345,plain,
    add(c,multiply(c,a)) = additive_identity,
    inference(demodulation,[status(thm),theory(equality)],[c_796,c_8987,c_26265]) ).

tff(c_26452,plain,
    multiply(c,a) = add(c,additive_identity),
    inference(superposition,[status(thm),theory(equality)],[c_26345,c_8987]) ).

tff(c_26518,plain,
    multiply(c,a) = c,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_26452]) ).

tff(c_415,plain,
    ! [Z_36] : ( multiply(a,multiply(b,Z_36)) = multiply(c,Z_36) ),
    inference(superposition,[status(thm),theory(equality)],[c_22,c_389]) ).

tff(c_2311,plain,
    ! [X_72,Y_73] : ( multiply(X_72,multiply(Y_73,multiply(X_72,Y_73))) = multiply(X_72,Y_73) ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_389]) ).

tff(c_2419,plain,
    multiply(b,multiply(c,a)) = multiply(b,a),
    inference(superposition,[status(thm),theory(equality)],[c_415,c_2311]) ).

tff(c_26532,plain,
    multiply(b,c) = multiply(b,a),
    inference(demodulation,[status(thm),theory(equality)],[c_26518,c_2419]) ).

tff(c_26534,plain,
    multiply(b,a) = c,
    inference(demodulation,[status(thm),theory(equality)],[c_25698,c_26532]) ).

tff(c_26536,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_24,c_26534]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : RNG008-7 : TPTP v8.1.2. Released v1.0.0.
% 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
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 17:52:02 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 14.02/5.70  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.02/5.72  
% 14.02/5.72  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.36/5.76  
% 14.36/5.76  Inference rules
% 14.36/5.76  ----------------------
% 14.36/5.76  #Ref     : 0
% 14.36/5.76  #Sup     : 6641
% 14.36/5.76  #Fact    : 0
% 14.36/5.76  #Define  : 0
% 14.36/5.76  #Split   : 0
% 14.36/5.76  #Chain   : 0
% 14.36/5.76  #Close   : 0
% 14.36/5.76  
% 14.36/5.76  Ordering : KBO
% 14.36/5.76  
% 14.36/5.76  Simplification rules
% 14.36/5.76  ----------------------
% 14.36/5.76  #Subsume      : 518
% 14.36/5.76  #Demod        : 9199
% 14.36/5.76  #Tautology    : 3011
% 14.36/5.76  #SimpNegUnit  : 1
% 14.36/5.76  #BackRed      : 47
% 14.36/5.76  
% 14.36/5.76  #Partial instantiations: 0
% 14.36/5.76  #Strategies tried      : 1
% 14.36/5.76  
% 14.36/5.76  Timing (in seconds)
% 14.36/5.76  ----------------------
% 14.36/5.76  Preprocessing        : 0.43
% 14.36/5.76  Parsing              : 0.23
% 14.36/5.76  CNF conversion       : 0.02
% 14.36/5.76  Main loop            : 4.18
% 14.36/5.76  Inferencing          : 0.82
% 14.36/5.76  Reduction            : 2.55
% 14.36/5.76  Demodulation         : 2.35
% 14.36/5.76  BG Simplification    : 0.11
% 14.36/5.76  Subsumption          : 0.45
% 14.36/5.76  Abstraction          : 0.17
% 14.36/5.76  MUC search           : 0.00
% 14.36/5.76  Cooper               : 0.00
% 14.36/5.76  Total                : 4.68
% 14.36/5.76  Index Insertion      : 0.00
% 14.36/5.76  Index Deletion       : 0.00
% 14.36/5.76  Index Matching       : 0.00
% 14.36/5.76  BG Taut test         : 0.00
%------------------------------------------------------------------------------