TSTP Solution File: SWV558-1.010 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV558-1.010 : 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 : 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 11:05:06 EDT 2023

% Result   : Unsatisfiable 6.32s 2.62s
% Output   : CNFRefutation 6.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   53
%            Number of leaves      :   98
% Syntax   : Number of formulae    :  249 ( 195 unt;  54 typ;   0 def)
%            Number of atoms       :  195 ( 194 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   2   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   54 (  54 usr;  52 con; 0-3 aty)
%            Number of variables   :   12 (;  12   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ store > select > #nlpp > i9 > i8 > i7 > i6 > i5 > i4 > i3 > i2 > i10 > i1 > e_78 > e_76 > e_74 > e_72 > e_70 > e_68 > e_66 > e_64 > e_62 > e_60 > e_58 > e_56 > e_54 > e_52 > e_50 > e_48 > e_46 > e_44 > e_42 > e_40 > a_79 > a_77 > a_75 > a_73 > a_71 > a_69 > a_67 > a_65 > a_63 > a_61 > a_59 > a_57 > a_55 > a_53 > a_51 > a_49 > a_47 > a_45 > a_43 > a_41 > a2 > a1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(e_48,type,
    e_48: $i ).

tff(a1,type,
    a1: $i ).

tff(a_65,type,
    a_65: $i ).

tff(a_73,type,
    a_73: $i ).

tff(e_46,type,
    e_46: $i ).

tff(a_55,type,
    a_55: $i ).

tff(a_77,type,
    a_77: $i ).

tff(e_74,type,
    e_74: $i ).

tff(a_53,type,
    a_53: $i ).

tff(a_49,type,
    a_49: $i ).

tff(a_41,type,
    a_41: $i ).

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

tff(a_59,type,
    a_59: $i ).

tff(a_67,type,
    a_67: $i ).

tff(a_43,type,
    a_43: $i ).

tff(e_60,type,
    e_60: $i ).

tff(e_56,type,
    e_56: $i ).

tff(e_70,type,
    e_70: $i ).

tff(e_50,type,
    e_50: $i ).

tff(a_79,type,
    a_79: $i ).

tff(a_71,type,
    a_71: $i ).

tff(e_66,type,
    e_66: $i ).

tff(e_68,type,
    e_68: $i ).

tff(i10,type,
    i10: $i ).

tff(e_40,type,
    e_40: $i ).

tff(a2,type,
    a2: $i ).

tff(i8,type,
    i8: $i ).

tff(i9,type,
    i9: $i ).

tff(a_57,type,
    a_57: $i ).

tff(i7,type,
    i7: $i ).

tff(e_42,type,
    e_42: $i ).

tff(e_52,type,
    e_52: $i ).

tff(i1,type,
    i1: $i ).

tff(i2,type,
    i2: $i ).

tff(a_63,type,
    a_63: $i ).

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

tff(e_78,type,
    e_78: $i ).

tff(e_44,type,
    e_44: $i ).

tff(e_54,type,
    e_54: $i ).

tff(a_69,type,
    a_69: $i ).

tff(a_75,type,
    a_75: $i ).

tff(a_45,type,
    a_45: $i ).

tff(e_72,type,
    e_72: $i ).

tff(a_47,type,
    a_47: $i ).

tff(e_76,type,
    e_76: $i ).

tff(e_62,type,
    e_62: $i ).

tff(a_51,type,
    a_51: $i ).

tff(i5,type,
    i5: $i ).

tff(i4,type,
    i4: $i ).

tff(e_64,type,
    e_64: $i ).

tff(e_58,type,
    e_58: $i ).

tff(i3,type,
    i3: $i ).

tff(a_61,type,
    a_61: $i ).

tff(i6,type,
    i6: $i ).

tff(f_81,axiom,
    a1 != a2,
    file(unknown,unknown) ).

tff(f_39,axiom,
    a_41 = store(a1,i1,e_40),
    file(unknown,unknown) ).

tff(f_26,axiom,
    ! [A,I,E] : ( select(store(A,I,E),I) = E ),
    file(unknown,unknown) ).

tff(f_41,axiom,
    a_45 = store(a_41,i2,e_44),
    file(unknown,unknown) ).

tff(f_43,axiom,
    a_49 = store(a_45,i3,e_48),
    file(unknown,unknown) ).

tff(f_45,axiom,
    a_53 = store(a_49,i4,e_52),
    file(unknown,unknown) ).

tff(f_47,axiom,
    a_57 = store(a_53,i5,e_56),
    file(unknown,unknown) ).

tff(f_49,axiom,
    a_61 = store(a_57,i6,e_60),
    file(unknown,unknown) ).

tff(f_51,axiom,
    a_65 = store(a_61,i7,e_64),
    file(unknown,unknown) ).

tff(f_53,axiom,
    a_69 = store(a_65,i8,e_68),
    file(unknown,unknown) ).

tff(f_55,axiom,
    a_73 = store(a_69,i9,e_72),
    file(unknown,unknown) ).

tff(f_57,axiom,
    a_77 = store(a_73,i10,e_76),
    file(unknown,unknown) ).

tff(f_79,axiom,
    a_77 = a_79,
    file(unknown,unknown) ).

tff(f_58,axiom,
    a_79 = store(a_75,i10,e_78),
    file(unknown,unknown) ).

tff(f_78,axiom,
    e_78 = select(a_73,i10),
    file(unknown,unknown) ).

tff(f_32,axiom,
    ! [A,I] : ( store(A,I,select(A,I)) = A ),
    file(unknown,unknown) ).

tff(f_77,axiom,
    e_76 = select(a_75,i10),
    file(unknown,unknown) ).

tff(f_56,axiom,
    a_75 = store(a_71,i9,e_74),
    file(unknown,unknown) ).

tff(f_76,axiom,
    e_74 = select(a_69,i9),
    file(unknown,unknown) ).

tff(f_75,axiom,
    e_72 = select(a_71,i9),
    file(unknown,unknown) ).

tff(f_54,axiom,
    a_71 = store(a_67,i8,e_70),
    file(unknown,unknown) ).

tff(f_74,axiom,
    e_70 = select(a_65,i8),
    file(unknown,unknown) ).

tff(f_73,axiom,
    e_68 = select(a_67,i8),
    file(unknown,unknown) ).

tff(f_52,axiom,
    a_67 = store(a_63,i7,e_66),
    file(unknown,unknown) ).

tff(f_72,axiom,
    e_66 = select(a_61,i7),
    file(unknown,unknown) ).

tff(f_71,axiom,
    e_64 = select(a_63,i7),
    file(unknown,unknown) ).

tff(f_50,axiom,
    a_63 = store(a_59,i6,e_62),
    file(unknown,unknown) ).

tff(f_70,axiom,
    e_62 = select(a_57,i6),
    file(unknown,unknown) ).

tff(f_69,axiom,
    e_60 = select(a_59,i6),
    file(unknown,unknown) ).

tff(f_48,axiom,
    a_59 = store(a_55,i5,e_58),
    file(unknown,unknown) ).

tff(f_68,axiom,
    e_58 = select(a_53,i5),
    file(unknown,unknown) ).

tff(f_67,axiom,
    e_56 = select(a_55,i5),
    file(unknown,unknown) ).

tff(f_46,axiom,
    a_55 = store(a_51,i4,e_54),
    file(unknown,unknown) ).

tff(f_66,axiom,
    e_54 = select(a_49,i4),
    file(unknown,unknown) ).

tff(f_65,axiom,
    e_52 = select(a_51,i4),
    file(unknown,unknown) ).

tff(f_44,axiom,
    a_51 = store(a_47,i3,e_50),
    file(unknown,unknown) ).

tff(f_64,axiom,
    e_50 = select(a_45,i3),
    file(unknown,unknown) ).

tff(f_63,axiom,
    e_48 = select(a_47,i3),
    file(unknown,unknown) ).

tff(f_42,axiom,
    a_47 = store(a_43,i2,e_46),
    file(unknown,unknown) ).

tff(f_62,axiom,
    e_46 = select(a_41,i2),
    file(unknown,unknown) ).

tff(f_61,axiom,
    e_44 = select(a_43,i2),
    file(unknown,unknown) ).

tff(f_40,axiom,
    a_43 = store(a2,i1,e_42),
    file(unknown,unknown) ).

tff(f_60,axiom,
    e_42 = select(a1,i1),
    file(unknown,unknown) ).

tff(f_59,axiom,
    e_40 = select(a2,i1),
    file(unknown,unknown) ).

tff(c_94,plain,
    a2 != a1,
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_12,plain,
    store(a1,i1,e_40) = a_41,
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_337,plain,
    ! [A_21,I_22,E_23] : ( select(store(A_21,I_22,E_23),I_22) = E_23 ),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_394,plain,
    select(a_41,i1) = e_40,
    inference(superposition,[status(thm),theory(equality)],[c_12,c_337]) ).

tff(c_16,plain,
    store(a_41,i2,e_44) = a_45,
    inference(cnfTransformation,[status(thm)],[f_41]) ).

tff(c_388,plain,
    select(a_45,i2) = e_44,
    inference(superposition,[status(thm),theory(equality)],[c_16,c_337]) ).

tff(c_20,plain,
    store(a_45,i3,e_48) = a_49,
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_364,plain,
    select(a_49,i3) = e_48,
    inference(superposition,[status(thm),theory(equality)],[c_20,c_337]) ).

tff(c_24,plain,
    store(a_49,i4,e_52) = a_53,
    inference(cnfTransformation,[status(thm)],[f_45]) ).

tff(c_406,plain,
    select(a_53,i4) = e_52,
    inference(superposition,[status(thm),theory(equality)],[c_24,c_337]) ).

tff(c_28,plain,
    store(a_53,i5,e_56) = a_57,
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_400,plain,
    select(a_57,i5) = e_56,
    inference(superposition,[status(thm),theory(equality)],[c_28,c_337]) ).

tff(c_32,plain,
    store(a_57,i6,e_60) = a_61,
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_367,plain,
    select(a_61,i6) = e_60,
    inference(superposition,[status(thm),theory(equality)],[c_32,c_337]) ).

tff(c_36,plain,
    store(a_61,i7,e_64) = a_65,
    inference(cnfTransformation,[status(thm)],[f_51]) ).

tff(c_361,plain,
    select(a_65,i7) = e_64,
    inference(superposition,[status(thm),theory(equality)],[c_36,c_337]) ).

tff(c_40,plain,
    store(a_65,i8,e_68) = a_69,
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_409,plain,
    select(a_69,i8) = e_68,
    inference(superposition,[status(thm),theory(equality)],[c_40,c_337]) ).

tff(c_44,plain,
    store(a_69,i9,e_72) = a_73,
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_403,plain,
    select(a_73,i9) = e_72,
    inference(superposition,[status(thm),theory(equality)],[c_44,c_337]) ).

tff(c_48,plain,
    store(a_73,i10,e_76) = a_77,
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_370,plain,
    select(a_77,i10) = e_76,
    inference(superposition,[status(thm),theory(equality)],[c_48,c_337]) ).

tff(c_92,plain,
    a_79 = a_77,
    inference(cnfTransformation,[status(thm)],[f_79]) ).

tff(c_50,plain,
    store(a_75,i10,e_78) = a_79,
    inference(cnfTransformation,[status(thm)],[f_58]) ).

tff(c_95,plain,
    store(a_75,i10,e_78) = a_77,
    inference(demodulation,[status(thm),theory(equality)],[c_92,c_50]) ).

tff(c_379,plain,
    select(a_77,i10) = e_78,
    inference(superposition,[status(thm),theory(equality)],[c_95,c_337]) ).

tff(c_995,plain,
    e_78 = e_76,
    inference(demodulation,[status(thm),theory(equality)],[c_370,c_379]) ).

tff(c_90,plain,
    select(a_73,i10) = e_78,
    inference(cnfTransformation,[status(thm)],[f_78]) ).

tff(c_260,plain,
    ! [A_19,I_20] : ( store(A_19,I_20,select(A_19,I_20)) = A_19 ),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_314,plain,
    store(a_73,i10,e_78) = a_73,
    inference(superposition,[status(thm),theory(equality)],[c_90,c_260]) ).

tff(c_1075,plain,
    a_77 = a_73,
    inference(demodulation,[status(thm),theory(equality)],[c_48,c_995,c_314]) ).

tff(c_996,plain,
    store(a_75,i10,e_76) = a_77,
    inference(demodulation,[status(thm),theory(equality)],[c_995,c_95]) ).

tff(c_1088,plain,
    store(a_75,i10,e_76) = a_73,
    inference(demodulation,[status(thm),theory(equality)],[c_1075,c_996]) ).

tff(c_88,plain,
    select(a_75,i10) = e_76,
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_326,plain,
    store(a_75,i10,e_76) = a_75,
    inference(superposition,[status(thm),theory(equality)],[c_88,c_260]) ).

tff(c_1219,plain,
    a_75 = a_73,
    inference(demodulation,[status(thm),theory(equality)],[c_1088,c_326]) ).

tff(c_46,plain,
    store(a_71,i9,e_74) = a_75,
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_385,plain,
    select(a_75,i9) = e_74,
    inference(superposition,[status(thm),theory(equality)],[c_46,c_337]) ).

tff(c_1221,plain,
    select(a_73,i9) = e_74,
    inference(demodulation,[status(thm),theory(equality)],[c_1219,c_385]) ).

tff(c_1225,plain,
    e_74 = e_72,
    inference(demodulation,[status(thm),theory(equality)],[c_403,c_1221]) ).

tff(c_86,plain,
    select(a_69,i9) = e_74,
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_296,plain,
    store(a_69,i9,e_74) = a_69,
    inference(superposition,[status(thm),theory(equality)],[c_86,c_260]) ).

tff(c_1265,plain,
    a_73 = a_69,
    inference(demodulation,[status(thm),theory(equality)],[c_44,c_1225,c_296]) ).

tff(c_1222,plain,
    store(a_71,i9,e_74) = a_73,
    inference(demodulation,[status(thm),theory(equality)],[c_1219,c_46]) ).

tff(c_1290,plain,
    store(a_71,i9,e_72) = a_69,
    inference(demodulation,[status(thm),theory(equality)],[c_1265,c_1225,c_1222]) ).

tff(c_84,plain,
    select(a_71,i9) = e_72,
    inference(cnfTransformation,[status(thm)],[f_75]) ).

tff(c_284,plain,
    store(a_71,i9,e_72) = a_71,
    inference(superposition,[status(thm),theory(equality)],[c_84,c_260]) ).

tff(c_1494,plain,
    a_71 = a_69,
    inference(demodulation,[status(thm),theory(equality)],[c_1290,c_284]) ).

tff(c_42,plain,
    store(a_67,i8,e_70) = a_71,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_376,plain,
    select(a_71,i8) = e_70,
    inference(superposition,[status(thm),theory(equality)],[c_42,c_337]) ).

tff(c_1496,plain,
    select(a_69,i8) = e_70,
    inference(demodulation,[status(thm),theory(equality)],[c_1494,c_376]) ).

tff(c_1500,plain,
    e_70 = e_68,
    inference(demodulation,[status(thm),theory(equality)],[c_409,c_1496]) ).

tff(c_82,plain,
    select(a_65,i8) = e_70,
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_275,plain,
    store(a_65,i8,e_70) = a_65,
    inference(superposition,[status(thm),theory(equality)],[c_82,c_260]) ).

tff(c_1506,plain,
    store(a_65,i8,e_68) = a_65,
    inference(demodulation,[status(thm),theory(equality)],[c_1500,c_275]) ).

tff(c_80,plain,
    select(a_67,i8) = e_68,
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_323,plain,
    store(a_67,i8,e_68) = a_67,
    inference(superposition,[status(thm),theory(equality)],[c_80,c_260]) ).

tff(c_1497,plain,
    store(a_67,i8,e_70) = a_69,
    inference(demodulation,[status(thm),theory(equality)],[c_1494,c_42]) ).

tff(c_1519,plain,
    a_69 = a_67,
    inference(demodulation,[status(thm),theory(equality)],[c_323,c_1500,c_1497]) ).

tff(c_1530,plain,
    store(a_65,i8,e_68) = a_67,
    inference(demodulation,[status(thm),theory(equality)],[c_1519,c_40]) ).

tff(c_1634,plain,
    a_67 = a_65,
    inference(demodulation,[status(thm),theory(equality)],[c_1506,c_1530]) ).

tff(c_38,plain,
    store(a_63,i7,e_66) = a_67,
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_412,plain,
    select(a_67,i7) = e_66,
    inference(superposition,[status(thm),theory(equality)],[c_38,c_337]) ).

tff(c_1668,plain,
    select(a_65,i7) = e_66,
    inference(demodulation,[status(thm),theory(equality)],[c_1634,c_412]) ).

tff(c_1672,plain,
    e_66 = e_64,
    inference(demodulation,[status(thm),theory(equality)],[c_361,c_1668]) ).

tff(c_78,plain,
    select(a_61,i7) = e_66,
    inference(cnfTransformation,[status(thm)],[f_72]) ).

tff(c_302,plain,
    store(a_61,i7,e_66) = a_61,
    inference(superposition,[status(thm),theory(equality)],[c_78,c_260]) ).

tff(c_1682,plain,
    store(a_61,i7,e_64) = a_61,
    inference(demodulation,[status(thm),theory(equality)],[c_1672,c_302]) ).

tff(c_1729,plain,
    a_65 = a_61,
    inference(demodulation,[status(thm),theory(equality)],[c_1682,c_36]) ).

tff(c_76,plain,
    select(a_63,i7) = e_64,
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_293,plain,
    store(a_63,i7,e_64) = a_63,
    inference(superposition,[status(thm),theory(equality)],[c_76,c_260]) ).

tff(c_1669,plain,
    store(a_63,i7,e_66) = a_65,
    inference(demodulation,[status(thm),theory(equality)],[c_1634,c_38]) ).

tff(c_1777,plain,
    a_63 = a_61,
    inference(demodulation,[status(thm),theory(equality)],[c_1729,c_293,c_1672,c_1669]) ).

tff(c_34,plain,
    store(a_59,i6,e_62) = a_63,
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_415,plain,
    select(a_63,i6) = e_62,
    inference(superposition,[status(thm),theory(equality)],[c_34,c_337]) ).

tff(c_1779,plain,
    select(a_61,i6) = e_62,
    inference(demodulation,[status(thm),theory(equality)],[c_1777,c_415]) ).

tff(c_1783,plain,
    e_62 = e_60,
    inference(demodulation,[status(thm),theory(equality)],[c_367,c_1779]) ).

tff(c_74,plain,
    select(a_57,i6) = e_62,
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_308,plain,
    store(a_57,i6,e_62) = a_57,
    inference(superposition,[status(thm),theory(equality)],[c_74,c_260]) ).

tff(c_1809,plain,
    store(a_57,i6,e_60) = a_57,
    inference(demodulation,[status(thm),theory(equality)],[c_1783,c_308]) ).

tff(c_1843,plain,
    a_61 = a_57,
    inference(demodulation,[status(thm),theory(equality)],[c_1809,c_32]) ).

tff(c_72,plain,
    select(a_59,i6) = e_60,
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_281,plain,
    store(a_59,i6,e_60) = a_59,
    inference(superposition,[status(thm),theory(equality)],[c_72,c_260]) ).

tff(c_1780,plain,
    store(a_59,i6,e_62) = a_61,
    inference(demodulation,[status(thm),theory(equality)],[c_1777,c_34]) ).

tff(c_1914,plain,
    a_59 = a_57,
    inference(demodulation,[status(thm),theory(equality)],[c_1843,c_281,c_1783,c_1780]) ).

tff(c_30,plain,
    store(a_55,i5,e_58) = a_59,
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_358,plain,
    select(a_59,i5) = e_58,
    inference(superposition,[status(thm),theory(equality)],[c_30,c_337]) ).

tff(c_1916,plain,
    select(a_57,i5) = e_58,
    inference(demodulation,[status(thm),theory(equality)],[c_1914,c_358]) ).

tff(c_1920,plain,
    e_58 = e_56,
    inference(demodulation,[status(thm),theory(equality)],[c_400,c_1916]) ).

tff(c_70,plain,
    select(a_53,i5) = e_58,
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_269,plain,
    store(a_53,i5,e_58) = a_53,
    inference(superposition,[status(thm),theory(equality)],[c_70,c_260]) ).

tff(c_1934,plain,
    store(a_53,i5,e_56) = a_53,
    inference(demodulation,[status(thm),theory(equality)],[c_1920,c_269]) ).

tff(c_68,plain,
    select(a_55,i5) = e_56,
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_278,plain,
    store(a_55,i5,e_56) = a_55,
    inference(superposition,[status(thm),theory(equality)],[c_68,c_260]) ).

tff(c_1917,plain,
    store(a_55,i5,e_58) = a_57,
    inference(demodulation,[status(thm),theory(equality)],[c_1914,c_30]) ).

tff(c_1975,plain,
    a_57 = a_55,
    inference(demodulation,[status(thm),theory(equality)],[c_278,c_1920,c_1917]) ).

tff(c_1994,plain,
    store(a_53,i5,e_56) = a_55,
    inference(demodulation,[status(thm),theory(equality)],[c_1975,c_28]) ).

tff(c_2123,plain,
    a_55 = a_53,
    inference(demodulation,[status(thm),theory(equality)],[c_1934,c_1994]) ).

tff(c_26,plain,
    store(a_51,i4,e_54) = a_55,
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_391,plain,
    select(a_55,i4) = e_54,
    inference(superposition,[status(thm),theory(equality)],[c_26,c_337]) ).

tff(c_2187,plain,
    select(a_53,i4) = e_54,
    inference(demodulation,[status(thm),theory(equality)],[c_2123,c_391]) ).

tff(c_2191,plain,
    e_54 = e_52,
    inference(demodulation,[status(thm),theory(equality)],[c_406,c_2187]) ).

tff(c_66,plain,
    select(a_49,i4) = e_54,
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_272,plain,
    store(a_49,i4,e_54) = a_49,
    inference(superposition,[status(thm),theory(equality)],[c_66,c_260]) ).

tff(c_2206,plain,
    store(a_49,i4,e_52) = a_49,
    inference(demodulation,[status(thm),theory(equality)],[c_2191,c_272]) ).

tff(c_64,plain,
    select(a_51,i4) = e_52,
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_320,plain,
    store(a_51,i4,e_52) = a_51,
    inference(superposition,[status(thm),theory(equality)],[c_64,c_260]) ).

tff(c_2189,plain,
    store(a_51,i4,e_54) = a_53,
    inference(demodulation,[status(thm),theory(equality)],[c_2123,c_26]) ).

tff(c_2287,plain,
    a_53 = a_51,
    inference(demodulation,[status(thm),theory(equality)],[c_320,c_2191,c_2189]) ).

tff(c_2308,plain,
    store(a_49,i4,e_52) = a_51,
    inference(demodulation,[status(thm),theory(equality)],[c_2287,c_24]) ).

tff(c_2451,plain,
    a_51 = a_49,
    inference(demodulation,[status(thm),theory(equality)],[c_2206,c_2308]) ).

tff(c_22,plain,
    store(a_47,i3,e_50) = a_51,
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_397,plain,
    select(a_51,i3) = e_50,
    inference(superposition,[status(thm),theory(equality)],[c_22,c_337]) ).

tff(c_2496,plain,
    select(a_49,i3) = e_50,
    inference(demodulation,[status(thm),theory(equality)],[c_2451,c_397]) ).

tff(c_2500,plain,
    e_50 = e_48,
    inference(demodulation,[status(thm),theory(equality)],[c_364,c_2496]) ).

tff(c_62,plain,
    select(a_45,i3) = e_50,
    inference(cnfTransformation,[status(thm)],[f_64]) ).

tff(c_2519,plain,
    select(a_45,i3) = e_48,
    inference(demodulation,[status(thm),theory(equality)],[c_2500,c_62]) ).

tff(c_6,plain,
    ! [A_8,I_9] : ( store(A_8,I_9,select(A_8,I_9)) = A_8 ),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_2535,plain,
    store(a_45,i3,e_48) = a_45,
    inference(superposition,[status(thm),theory(equality)],[c_2519,c_6]) ).

tff(c_60,plain,
    select(a_47,i3) = e_48,
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_299,plain,
    store(a_47,i3,e_48) = a_47,
    inference(superposition,[status(thm),theory(equality)],[c_60,c_260]) ).

tff(c_2497,plain,
    store(a_47,i3,e_50) = a_49,
    inference(demodulation,[status(thm),theory(equality)],[c_2451,c_22]) ).

tff(c_2575,plain,
    a_49 = a_47,
    inference(demodulation,[status(thm),theory(equality)],[c_299,c_2500,c_2497]) ).

tff(c_2594,plain,
    store(a_45,i3,e_48) = a_47,
    inference(demodulation,[status(thm),theory(equality)],[c_2575,c_20]) ).

tff(c_2704,plain,
    a_47 = a_45,
    inference(demodulation,[status(thm),theory(equality)],[c_2535,c_2594]) ).

tff(c_18,plain,
    store(a_43,i2,e_46) = a_47,
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_373,plain,
    select(a_47,i2) = e_46,
    inference(superposition,[status(thm),theory(equality)],[c_18,c_337]) ).

tff(c_2747,plain,
    select(a_45,i2) = e_46,
    inference(demodulation,[status(thm),theory(equality)],[c_2704,c_373]) ).

tff(c_2751,plain,
    e_46 = e_44,
    inference(demodulation,[status(thm),theory(equality)],[c_388,c_2747]) ).

tff(c_58,plain,
    select(a_41,i2) = e_46,
    inference(cnfTransformation,[status(thm)],[f_62]) ).

tff(c_305,plain,
    store(a_41,i2,e_46) = a_41,
    inference(superposition,[status(thm),theory(equality)],[c_58,c_260]) ).

tff(c_2785,plain,
    store(a_41,i2,e_44) = a_41,
    inference(demodulation,[status(thm),theory(equality)],[c_2751,c_305]) ).

tff(c_56,plain,
    select(a_43,i2) = e_44,
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_290,plain,
    store(a_43,i2,e_44) = a_43,
    inference(superposition,[status(thm),theory(equality)],[c_56,c_260]) ).

tff(c_2748,plain,
    store(a_43,i2,e_46) = a_45,
    inference(demodulation,[status(thm),theory(equality)],[c_2704,c_18]) ).

tff(c_3054,plain,
    a_45 = a_43,
    inference(demodulation,[status(thm),theory(equality)],[c_290,c_2751,c_2748]) ).

tff(c_3089,plain,
    store(a_41,i2,e_44) = a_43,
    inference(demodulation,[status(thm),theory(equality)],[c_3054,c_16]) ).

tff(c_3517,plain,
    a_43 = a_41,
    inference(demodulation,[status(thm),theory(equality)],[c_2785,c_3089]) ).

tff(c_14,plain,
    store(a2,i1,e_42) = a_43,
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_382,plain,
    select(a_43,i1) = e_42,
    inference(superposition,[status(thm),theory(equality)],[c_14,c_337]) ).

tff(c_3576,plain,
    select(a_41,i1) = e_42,
    inference(demodulation,[status(thm),theory(equality)],[c_3517,c_382]) ).

tff(c_3580,plain,
    e_42 = e_40,
    inference(demodulation,[status(thm),theory(equality)],[c_394,c_3576]) ).

tff(c_54,plain,
    select(a1,i1) = e_42,
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_287,plain,
    store(a1,i1,e_42) = a1,
    inference(superposition,[status(thm),theory(equality)],[c_54,c_260]) ).

tff(c_3636,plain,
    store(a1,i1,e_40) = a1,
    inference(demodulation,[status(thm),theory(equality)],[c_3580,c_287]) ).

tff(c_4094,plain,
    a_41 = a1,
    inference(demodulation,[status(thm),theory(equality)],[c_3636,c_12]) ).

tff(c_52,plain,
    select(a2,i1) = e_40,
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_311,plain,
    store(a2,i1,e_40) = a2,
    inference(superposition,[status(thm),theory(equality)],[c_52,c_260]) ).

tff(c_3577,plain,
    store(a2,i1,e_42) = a_41,
    inference(demodulation,[status(thm),theory(equality)],[c_3517,c_14]) ).

tff(c_4168,plain,
    a2 = a1,
    inference(demodulation,[status(thm),theory(equality)],[c_4094,c_311,c_3580,c_3577]) ).

tff(c_4169,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_94,c_4168]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWV558-1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % 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
% 0.14/0.36  % Computer : n013.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 22:28:33 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 6.32/2.62  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.74/2.65  
% 6.74/2.65  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.74/2.69  
% 6.74/2.69  Inference rules
% 6.74/2.69  ----------------------
% 6.74/2.69  #Ref     : 0
% 6.74/2.69  #Sup     : 1354
% 6.74/2.69  #Fact    : 0
% 6.74/2.69  #Define  : 0
% 6.74/2.69  #Split   : 0
% 6.74/2.69  #Chain   : 0
% 6.74/2.69  #Close   : 0
% 6.74/2.69  
% 6.74/2.69  Ordering : KBO
% 6.74/2.69  
% 6.74/2.69  Simplification rules
% 6.74/2.69  ----------------------
% 6.74/2.69  #Subsume      : 0
% 6.74/2.69  #Demod        : 748
% 6.74/2.69  #Tautology    : 1032
% 6.74/2.69  #SimpNegUnit  : 1
% 6.74/2.69  #BackRed      : 349
% 6.74/2.69  
% 6.74/2.69  #Partial instantiations: 0
% 6.74/2.69  #Strategies tried      : 1
% 6.74/2.69  
% 6.74/2.69  Timing (in seconds)
% 6.74/2.69  ----------------------
% 6.74/2.69  Preprocessing        : 0.51
% 6.74/2.70  Parsing              : 0.27
% 6.74/2.70  CNF conversion       : 0.03
% 6.74/2.70  Main loop            : 1.04
% 6.74/2.70  Inferencing          : 0.39
% 6.74/2.70  Reduction            : 0.35
% 6.74/2.70  Demodulation         : 0.26
% 6.74/2.70  BG Simplification    : 0.04
% 6.74/2.70  Subsumption          : 0.15
% 6.95/2.70  Abstraction          : 0.03
% 6.95/2.70  MUC search           : 0.00
% 6.95/2.70  Cooper               : 0.00
% 6.95/2.70  Total                : 1.63
% 6.95/2.70  Index Insertion      : 0.00
% 6.95/2.70  Index Deletion       : 0.00
% 6.95/2.70  Index Matching       : 0.00
% 6.95/2.70  BG Taut test         : 0.00
%------------------------------------------------------------------------------