TSTP Solution File: GRP130-2.003 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GRP130-2.003 : TPTP v8.1.2. Released v1.2.0.
% 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 : n019.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 10:40:13 EDT 2023

% Result   : Unsatisfiable 6.71s 2.67s
% Output   : CNFRefutation 7.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  114 (  53 unt;   8 typ;   0 def)
%            Number of atoms       :  234 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  206 (  78   ~; 128   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (   5   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   69 (;  69   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ product > next > greater > equalish > group_element > #nlpp > e_3 > e_2 > e_1

%Foreground sorts:

%Background operators:

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

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

tff(e_2,type,
    e_2: $i ).

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

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

tff(e_3,type,
    e_3: $i ).

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

tff(e_1,type,
    e_1: $i ).

tff(f_48,axiom,
    ~ equalish(e_1,e_2),
    file(unknown,unknown) ).

tff(f_52,axiom,
    ~ equalish(e_2,e_1),
    file(unknown,unknown) ).

tff(f_54,axiom,
    ~ equalish(e_2,e_3),
    file(unknown,unknown) ).

tff(f_45,axiom,
    group_element(e_2),
    file(unknown,unknown) ).

tff(f_46,axiom,
    group_element(e_3),
    file(unknown,unknown) ).

tff(f_70,axiom,
    ! [X,Y] :
      ( ~ group_element(X)
      | ~ group_element(Y)
      | product(X,Y,e_1)
      | product(X,Y,e_2)
      | product(X,Y,e_3) ),
    file(unknown,unknown) ).

tff(f_102,axiom,
    ! [X,Y,Z1,Z2] :
      ( ~ product(X,Y,Z1)
      | ~ product(X,Z1,Z2)
      | product(Z2,Y,X) ),
    file(unknown,unknown) ).

tff(f_58,axiom,
    ~ equalish(e_3,e_2),
    file(unknown,unknown) ).

tff(f_56,axiom,
    ~ equalish(e_3,e_1),
    file(unknown,unknown) ).

tff(f_50,axiom,
    ~ equalish(e_1,e_3),
    file(unknown,unknown) ).

tff(f_44,axiom,
    group_element(e_1),
    file(unknown,unknown) ).

tff(f_86,axiom,
    ! [X,W,Y,Z] :
      ( ~ product(X,W,Y)
      | ~ product(X,Z,Y)
      | equalish(W,Z) ),
    file(unknown,unknown) ).

tff(f_94,axiom,
    ! [W,Y,X,Z] :
      ( ~ product(W,Y,X)
      | ~ product(Z,Y,X)
      | equalish(W,Z) ),
    file(unknown,unknown) ).

tff(f_78,axiom,
    ! [X,Y,W,Z] :
      ( ~ product(X,Y,W)
      | ~ product(X,Y,Z)
      | equalish(W,Z) ),
    file(unknown,unknown) ).

tff(c_20,plain,
    ~ equalish(e_1,e_2),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_24,plain,
    ~ equalish(e_2,e_1),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_26,plain,
    ~ equalish(e_2,e_3),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_16,plain,
    group_element(e_2),
    inference(cnfTransformation,[status(thm)],[f_45]) ).

tff(c_18,plain,
    group_element(e_3),
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_32,plain,
    ! [X_4,Y_5] :
      ( product(X_4,Y_5,e_3)
      | product(X_4,Y_5,e_2)
      | product(X_4,Y_5,e_1)
      | ~ group_element(Y_5)
      | ~ group_element(X_4) ),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_58,plain,
    ! [X_44,Y_45] :
      ( product(X_44,Y_45,e_3)
      | product(X_44,Y_45,e_2)
      | product(X_44,Y_45,e_1)
      | ~ group_element(Y_45)
      | ~ group_element(X_44) ),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_40,plain,
    ! [Z2_21,Y_19,X_18,Z1_20] :
      ( product(Z2_21,Y_19,X_18)
      | ~ product(X_18,Z1_20,Z2_21)
      | ~ product(X_18,Y_19,Z1_20) ),
    inference(cnfTransformation,[status(thm)],[f_102]) ).

tff(c_188,plain,
    ! [Y_69,X_70,Y_71] :
      ( product(e_3,Y_69,X_70)
      | ~ product(X_70,Y_69,Y_71)
      | product(X_70,Y_71,e_2)
      | product(X_70,Y_71,e_1)
      | ~ group_element(Y_71)
      | ~ group_element(X_70) ),
    inference(resolution,[status(thm)],[c_58,c_40]) ).

tff(c_192,plain,
    ! [Y_5,X_4] :
      ( product(e_3,Y_5,X_4)
      | product(X_4,e_3,e_2)
      | product(X_4,e_3,e_1)
      | ~ group_element(e_3)
      | product(X_4,Y_5,e_2)
      | product(X_4,Y_5,e_1)
      | ~ group_element(Y_5)
      | ~ group_element(X_4) ),
    inference(resolution,[status(thm)],[c_32,c_188]) ).

tff(c_198,plain,
    ! [Y_5,X_4] :
      ( product(e_3,Y_5,X_4)
      | product(X_4,e_3,e_2)
      | product(X_4,e_3,e_1)
      | product(X_4,Y_5,e_2)
      | product(X_4,Y_5,e_1)
      | ~ group_element(Y_5)
      | ~ group_element(X_4) ),
    inference(demodulation,[status(thm),theory(equality)],[c_18,c_192]) ).

tff(c_492,plain,
    ! [X_4] :
      ( product(e_3,e_3,X_4)
      | product(X_4,e_3,e_1)
      | ~ group_element(e_3)
      | ~ group_element(X_4)
      | product(X_4,e_3,e_2) ),
    inference(factorization,[status(thm),theory(equality)],[c_198]) ).

tff(c_495,plain,
    ! [X_4] :
      ( product(e_3,e_3,X_4)
      | product(X_4,e_3,e_1)
      | ~ group_element(X_4)
      | product(X_4,e_3,e_2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_18,c_492]) ).

tff(c_30,plain,
    ~ equalish(e_3,e_2),
    inference(cnfTransformation,[status(thm)],[f_58]) ).

tff(c_28,plain,
    ~ equalish(e_3,e_1),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_626,plain,
    ! [X_77] :
      ( product(e_3,e_3,X_77)
      | product(X_77,e_3,e_1)
      | ~ group_element(X_77)
      | product(X_77,e_3,e_2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_18,c_492]) ).

tff(c_1854,plain,
    ! [Y_111,X_112] :
      ( product(e_2,Y_111,X_112)
      | ~ product(X_112,Y_111,e_3)
      | product(e_3,e_3,X_112)
      | product(X_112,e_3,e_1)
      | ~ group_element(X_112) ),
    inference(resolution,[status(thm)],[c_626,c_40]) ).

tff(c_1863,plain,
    ( product(e_2,e_3,e_3)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_1)
    | ~ group_element(e_3)
    | product(e_3,e_3,e_2) ),
    inference(resolution,[status(thm)],[c_495,c_1854]) ).

tff(c_1881,plain,
    ( product(e_2,e_3,e_3)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_18,c_1863]) ).

tff(c_1889,plain,
    product(e_3,e_3,e_2),
    inference(splitLeft,[status(thm)],[c_1881]) ).

tff(c_75,plain,
    ! [Y_19,X_44,Y_45] :
      ( product(e_3,Y_19,X_44)
      | ~ product(X_44,Y_19,Y_45)
      | product(X_44,Y_45,e_2)
      | product(X_44,Y_45,e_1)
      | ~ group_element(Y_45)
      | ~ group_element(X_44) ),
    inference(resolution,[status(thm)],[c_58,c_40]) ).

tff(c_1909,plain,
    ( product(e_3,e_3,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_3) ),
    inference(resolution,[status(thm)],[c_1889,c_75]) ).

tff(c_1947,plain,
    ( product(e_3,e_3,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_18,c_16,c_1909]) ).

tff(c_2291,plain,
    product(e_3,e_2,e_1),
    inference(splitLeft,[status(thm)],[c_1947]) ).

tff(c_2884,plain,
    ! [Y_128] :
      ( product(e_1,Y_128,e_3)
      | ~ product(e_3,Y_128,e_2) ),
    inference(resolution,[status(thm)],[c_2291,c_40]) ).

tff(c_2948,plain,
    product(e_1,e_3,e_3),
    inference(resolution,[status(thm)],[c_1889,c_2884]) ).

tff(c_22,plain,
    ~ equalish(e_1,e_3),
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_14,plain,
    group_element(e_1),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_36,plain,
    ! [W_11,Z_13,X_10,Y_12] :
      ( equalish(W_11,Z_13)
      | ~ product(X_10,Z_13,Y_12)
      | ~ product(X_10,W_11,Y_12) ),
    inference(cnfTransformation,[status(thm)],[f_86]) ).

tff(c_686,plain,
    ! [W_11,X_77] :
      ( equalish(W_11,e_3)
      | ~ product(e_3,W_11,X_77)
      | product(X_77,e_3,e_1)
      | ~ group_element(X_77)
      | product(X_77,e_3,e_2) ),
    inference(resolution,[status(thm)],[c_626,c_36]) ).

tff(c_2333,plain,
    ( equalish(e_2,e_3)
    | product(e_1,e_3,e_1)
    | ~ group_element(e_1)
    | product(e_1,e_3,e_2) ),
    inference(resolution,[status(thm)],[c_2291,c_686]) ).

tff(c_2354,plain,
    ( equalish(e_2,e_3)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_2333]) ).

tff(c_2355,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2) ),
    inference(negUnitSimplification,[status(thm)],[c_26,c_2354]) ).

tff(c_2531,plain,
    product(e_1,e_3,e_2),
    inference(splitLeft,[status(thm)],[c_2355]) ).

tff(c_38,plain,
    ! [W_14,Z_17,Y_15,X_16] :
      ( equalish(W_14,Z_17)
      | ~ product(Z_17,Y_15,X_16)
      | ~ product(W_14,Y_15,X_16) ),
    inference(cnfTransformation,[status(thm)],[f_94]) ).

tff(c_1959,plain,
    ! [W_14] :
      ( equalish(W_14,e_3)
      | ~ product(W_14,e_3,e_2) ),
    inference(resolution,[status(thm)],[c_1889,c_38]) ).

tff(c_2638,plain,
    equalish(e_1,e_3),
    inference(resolution,[status(thm)],[c_2531,c_1959]) ).

tff(c_2670,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_22,c_2638]) ).

tff(c_2671,plain,
    product(e_1,e_3,e_1),
    inference(splitRight,[status(thm)],[c_2355]) ).

tff(c_34,plain,
    ! [W_8,Z_9,X_6,Y_7] :
      ( equalish(W_8,Z_9)
      | ~ product(X_6,Y_7,Z_9)
      | ~ product(X_6,Y_7,W_8) ),
    inference(cnfTransformation,[status(thm)],[f_78]) ).

tff(c_2755,plain,
    ! [W_8] :
      ( equalish(W_8,e_1)
      | ~ product(e_1,e_3,W_8) ),
    inference(resolution,[status(thm)],[c_2671,c_34]) ).

tff(c_2993,plain,
    equalish(e_3,e_1),
    inference(resolution,[status(thm)],[c_2948,c_2755]) ).

tff(c_3021,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_28,c_2993]) ).

tff(c_3022,plain,
    ( product(e_3,e_2,e_2)
    | product(e_3,e_3,e_3) ),
    inference(splitRight,[status(thm)],[c_1947]) ).

tff(c_3143,plain,
    product(e_3,e_3,e_3),
    inference(splitLeft,[status(thm)],[c_3022]) ).

tff(c_1957,plain,
    ! [W_8] :
      ( equalish(W_8,e_2)
      | ~ product(e_3,e_3,W_8) ),
    inference(resolution,[status(thm)],[c_1889,c_34]) ).

tff(c_3151,plain,
    equalish(e_3,e_2),
    inference(resolution,[status(thm)],[c_3143,c_1957]) ).

tff(c_3188,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_30,c_3151]) ).

tff(c_3189,plain,
    product(e_3,e_2,e_2),
    inference(splitRight,[status(thm)],[c_3022]) ).

tff(c_1958,plain,
    ! [W_11] :
      ( equalish(W_11,e_3)
      | ~ product(e_3,W_11,e_2) ),
    inference(resolution,[status(thm)],[c_1889,c_36]) ).

tff(c_3195,plain,
    equalish(e_2,e_3),
    inference(resolution,[status(thm)],[c_3189,c_1958]) ).

tff(c_3227,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_26,c_3195]) ).

tff(c_3229,plain,
    ~ product(e_3,e_3,e_2),
    inference(splitRight,[status(thm)],[c_1881]) ).

tff(c_3329,plain,
    ( product(e_2,e_3,e_1)
    | ~ group_element(e_2)
    | product(e_2,e_3,e_2) ),
    inference(resolution,[status(thm)],[c_495,c_3229]) ).

tff(c_3364,plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_16,c_3329]) ).

tff(c_3371,plain,
    product(e_2,e_3,e_2),
    inference(splitLeft,[status(thm)],[c_3364]) ).

tff(c_3389,plain,
    ( product(e_3,e_3,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | ~ group_element(e_2) ),
    inference(resolution,[status(thm)],[c_3371,c_75]) ).

tff(c_3429,plain,
    ( product(e_3,e_3,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_16,c_3389]) ).

tff(c_3430,plain,
    ( product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1) ),
    inference(negUnitSimplification,[status(thm)],[c_3229,c_3429]) ).

tff(c_3776,plain,
    product(e_2,e_2,e_1),
    inference(splitLeft,[status(thm)],[c_3430]) ).

tff(c_4000,plain,
    ! [Y_148] :
      ( product(e_1,Y_148,e_2)
      | ~ product(e_2,Y_148,e_2) ),
    inference(resolution,[status(thm)],[c_3776,c_40]) ).

tff(c_4038,plain,
    product(e_1,e_3,e_2),
    inference(resolution,[status(thm)],[c_3371,c_4000]) ).

tff(c_3442,plain,
    ! [W_14] :
      ( equalish(W_14,e_2)
      | ~ product(W_14,e_3,e_2) ),
    inference(resolution,[status(thm)],[c_3371,c_38]) ).

tff(c_4064,plain,
    equalish(e_1,e_2),
    inference(resolution,[status(thm)],[c_4038,c_3442]) ).

tff(c_4101,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_20,c_4064]) ).

tff(c_4102,plain,
    product(e_2,e_2,e_2),
    inference(splitRight,[status(thm)],[c_3430]) ).

tff(c_3441,plain,
    ! [W_11] :
      ( equalish(W_11,e_3)
      | ~ product(e_2,W_11,e_2) ),
    inference(resolution,[status(thm)],[c_3371,c_36]) ).

tff(c_4108,plain,
    equalish(e_2,e_3),
    inference(resolution,[status(thm)],[c_4102,c_3441]) ).

tff(c_4139,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_26,c_4108]) ).

tff(c_4140,plain,
    product(e_2,e_3,e_1),
    inference(splitRight,[status(thm)],[c_3364]) ).

tff(c_4253,plain,
    ( product(e_3,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | ~ group_element(e_1)
    | ~ group_element(e_2) ),
    inference(resolution,[status(thm)],[c_4140,c_75]) ).

tff(c_4284,plain,
    ( product(e_3,e_3,e_2)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(demodulation,[status(thm),theory(equality)],[c_16,c_14,c_4253]) ).

tff(c_4285,plain,
    ( product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(negUnitSimplification,[status(thm)],[c_3229,c_4284]) ).

tff(c_4466,plain,
    product(e_2,e_1,e_1),
    inference(splitLeft,[status(thm)],[c_4285]) ).

tff(c_4295,plain,
    ! [W_11] :
      ( equalish(W_11,e_3)
      | ~ product(e_2,W_11,e_1) ),
    inference(resolution,[status(thm)],[c_4140,c_36]) ).

tff(c_4469,plain,
    equalish(e_1,e_3),
    inference(resolution,[status(thm)],[c_4466,c_4295]) ).

tff(c_4493,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_22,c_4469]) ).

tff(c_4494,plain,
    product(e_2,e_1,e_2),
    inference(splitRight,[status(thm)],[c_4285]) ).

tff(c_5487,plain,
    ! [Y_171] :
      ( product(e_2,Y_171,e_2)
      | ~ product(e_2,Y_171,e_1) ),
    inference(resolution,[status(thm)],[c_4494,c_40]) ).

tff(c_687,plain,
    ! [W_14,X_77] :
      ( equalish(W_14,e_3)
      | ~ product(W_14,e_3,X_77)
      | product(X_77,e_3,e_1)
      | ~ group_element(X_77)
      | product(X_77,e_3,e_2) ),
    inference(resolution,[status(thm)],[c_626,c_38]) ).

tff(c_4249,plain,
    ( equalish(e_2,e_3)
    | product(e_1,e_3,e_1)
    | ~ group_element(e_1)
    | product(e_1,e_3,e_2) ),
    inference(resolution,[status(thm)],[c_4140,c_687]) ).

tff(c_4276,plain,
    ( equalish(e_2,e_3)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2) ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_4249]) ).

tff(c_4277,plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2) ),
    inference(negUnitSimplification,[status(thm)],[c_26,c_4276]) ).

tff(c_4496,plain,
    product(e_1,e_3,e_2),
    inference(splitLeft,[status(thm)],[c_4277]) ).

tff(c_4642,plain,
    ! [W_14] :
      ( equalish(W_14,e_1)
      | ~ product(W_14,e_3,e_2) ),
    inference(resolution,[status(thm)],[c_4496,c_38]) ).

tff(c_5493,plain,
    ( equalish(e_2,e_1)
    | ~ product(e_2,e_3,e_1) ),
    inference(resolution,[status(thm)],[c_5487,c_4642]) ).

tff(c_5565,plain,
    equalish(e_2,e_1),
    inference(demodulation,[status(thm),theory(equality)],[c_4140,c_5493]) ).

tff(c_5567,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_24,c_5565]) ).

tff(c_5568,plain,
    product(e_1,e_3,e_1),
    inference(splitRight,[status(thm)],[c_4277]) ).

tff(c_4296,plain,
    ! [W_14] :
      ( equalish(W_14,e_2)
      | ~ product(W_14,e_3,e_1) ),
    inference(resolution,[status(thm)],[c_4140,c_38]) ).

tff(c_5580,plain,
    equalish(e_1,e_2),
    inference(resolution,[status(thm)],[c_5568,c_4296]) ).

tff(c_5606,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_20,c_5580]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem  : GRP130-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.15/0.16  % 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
% 0.15/0.38  % Computer : n019.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit : 300
% 0.15/0.38  % WCLimit  : 300
% 0.15/0.38  % DateTime : Thu Aug  3 21:56:16 EDT 2023
% 0.15/0.38  % CPUTime  : 
% 6.71/2.67  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.71/2.68  
% 6.71/2.68  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.02/2.72  
% 7.02/2.72  Inference rules
% 7.02/2.72  ----------------------
% 7.02/2.72  #Ref     : 0
% 7.02/2.72  #Sup     : 1055
% 7.02/2.72  #Fact    : 6
% 7.02/2.72  #Define  : 0
% 7.02/2.72  #Split   : 15
% 7.02/2.72  #Chain   : 0
% 7.02/2.72  #Close   : 0
% 7.02/2.72  
% 7.02/2.72  Ordering : KBO
% 7.02/2.72  
% 7.02/2.72  Simplification rules
% 7.02/2.72  ----------------------
% 7.02/2.72  #Subsume      : 180
% 7.02/2.72  #Demod        : 1219
% 7.02/2.72  #Tautology    : 321
% 7.02/2.72  #SimpNegUnit  : 207
% 7.02/2.72  #BackRed      : 0
% 7.02/2.72  
% 7.02/2.72  #Partial instantiations: 0
% 7.02/2.72  #Strategies tried      : 1
% 7.02/2.72  
% 7.02/2.72  Timing (in seconds)
% 7.02/2.72  ----------------------
% 7.02/2.72  Preprocessing        : 0.44
% 7.02/2.72  Parsing              : 0.24
% 7.02/2.72  CNF conversion       : 0.02
% 7.02/2.72  Main loop            : 1.12
% 7.02/2.72  Inferencing          : 0.38
% 7.02/2.72  Reduction            : 0.32
% 7.02/2.72  Demodulation         : 0.21
% 7.02/2.72  BG Simplification    : 0.04
% 7.02/2.72  Subsumption          : 0.31
% 7.02/2.72  Abstraction          : 0.04
% 7.02/2.72  MUC search           : 0.00
% 7.02/2.72  Cooper               : 0.00
% 7.02/2.72  Total                : 1.62
% 7.02/2.72  Index Insertion      : 0.00
% 7.02/2.72  Index Deletion       : 0.00
% 7.02/2.72  Index Matching       : 0.00
% 7.02/2.72  BG Taut test         : 0.00
%------------------------------------------------------------------------------