TSTP Solution File: SWV558-1.010 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV558-1.010 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n001.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 : Thu Aug 31 21:46:38 EDT 2023

% Result   : Unsatisfiable 0.20s 0.59s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   98
% Syntax   : Number of formulae    :  234 ( 180 unt;  54 typ;   0 def)
%            Number of atoms       :  180 ( 179 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   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   :   10 (   2 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    store: ( $i * $i * $i ) > $i ).

tff(decl_23,type,
    select: ( $i * $i ) > $i ).

tff(decl_24,type,
    a_41: $i ).

tff(decl_25,type,
    a1: $i ).

tff(decl_26,type,
    i1: $i ).

tff(decl_27,type,
    e_40: $i ).

tff(decl_28,type,
    a_43: $i ).

tff(decl_29,type,
    a2: $i ).

tff(decl_30,type,
    e_42: $i ).

tff(decl_31,type,
    a_45: $i ).

tff(decl_32,type,
    i2: $i ).

tff(decl_33,type,
    e_44: $i ).

tff(decl_34,type,
    a_47: $i ).

tff(decl_35,type,
    e_46: $i ).

tff(decl_36,type,
    a_49: $i ).

tff(decl_37,type,
    i3: $i ).

tff(decl_38,type,
    e_48: $i ).

tff(decl_39,type,
    a_51: $i ).

tff(decl_40,type,
    e_50: $i ).

tff(decl_41,type,
    a_53: $i ).

tff(decl_42,type,
    i4: $i ).

tff(decl_43,type,
    e_52: $i ).

tff(decl_44,type,
    a_55: $i ).

tff(decl_45,type,
    e_54: $i ).

tff(decl_46,type,
    a_57: $i ).

tff(decl_47,type,
    i5: $i ).

tff(decl_48,type,
    e_56: $i ).

tff(decl_49,type,
    a_59: $i ).

tff(decl_50,type,
    e_58: $i ).

tff(decl_51,type,
    a_61: $i ).

tff(decl_52,type,
    i6: $i ).

tff(decl_53,type,
    e_60: $i ).

tff(decl_54,type,
    a_63: $i ).

tff(decl_55,type,
    e_62: $i ).

tff(decl_56,type,
    a_65: $i ).

tff(decl_57,type,
    i7: $i ).

tff(decl_58,type,
    e_64: $i ).

tff(decl_59,type,
    a_67: $i ).

tff(decl_60,type,
    e_66: $i ).

tff(decl_61,type,
    a_69: $i ).

tff(decl_62,type,
    i8: $i ).

tff(decl_63,type,
    e_68: $i ).

tff(decl_64,type,
    a_71: $i ).

tff(decl_65,type,
    e_70: $i ).

tff(decl_66,type,
    a_73: $i ).

tff(decl_67,type,
    i9: $i ).

tff(decl_68,type,
    e_72: $i ).

tff(decl_69,type,
    a_75: $i ).

tff(decl_70,type,
    e_74: $i ).

tff(decl_71,type,
    a_77: $i ).

tff(decl_72,type,
    i10: $i ).

tff(decl_73,type,
    e_76: $i ).

tff(decl_74,type,
    a_79: $i ).

tff(decl_75,type,
    e_78: $i ).

cnf(hyp19,hypothesis,
    a_79 = store(a_75,i10,e_78),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).

cnf(hyp40,hypothesis,
    a_77 = a_79,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp40) ).

cnf(a1,axiom,
    select(store(X1,X2,X3),X2) = X3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).

cnf(hyp18,hypothesis,
    a_77 = store(a_73,i10,e_76),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).

cnf(a3,axiom,
    store(X1,X2,select(X1,X2)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).

cnf(hyp39,hypothesis,
    e_78 = select(a_73,i10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp39) ).

cnf(hyp38,hypothesis,
    e_76 = select(a_75,i10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp38) ).

cnf(hyp16,hypothesis,
    a_73 = store(a_69,i9,e_72),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).

cnf(hyp17,hypothesis,
    a_75 = store(a_71,i9,e_74),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).

cnf(hyp36,hypothesis,
    e_72 = select(a_71,i9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp36) ).

cnf(hyp37,hypothesis,
    e_74 = select(a_69,i9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp37) ).

cnf(hyp15,hypothesis,
    a_71 = store(a_67,i8,e_70),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).

cnf(hyp14,hypothesis,
    a_69 = store(a_65,i8,e_68),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp14) ).

cnf(hyp34,hypothesis,
    e_68 = select(a_67,i8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp34) ).

cnf(hyp35,hypothesis,
    e_70 = select(a_65,i8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp35) ).

cnf(hyp13,hypothesis,
    a_67 = store(a_63,i7,e_66),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).

cnf(hyp12,hypothesis,
    a_65 = store(a_61,i7,e_64),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).

cnf(hyp32,hypothesis,
    e_64 = select(a_63,i7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp32) ).

cnf(hyp33,hypothesis,
    e_66 = select(a_61,i7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp33) ).

cnf(hyp11,hypothesis,
    a_63 = store(a_59,i6,e_62),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).

cnf(hyp10,hypothesis,
    a_61 = store(a_57,i6,e_60),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).

cnf(hyp30,hypothesis,
    e_60 = select(a_59,i6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp30) ).

cnf(hyp31,hypothesis,
    e_62 = select(a_57,i6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp31) ).

cnf(hyp9,hypothesis,
    a_59 = store(a_55,i5,e_58),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).

cnf(hyp8,hypothesis,
    a_57 = store(a_53,i5,e_56),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).

cnf(hyp28,hypothesis,
    e_56 = select(a_55,i5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp28) ).

cnf(hyp29,hypothesis,
    e_58 = select(a_53,i5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp29) ).

cnf(hyp7,hypothesis,
    a_55 = store(a_51,i4,e_54),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).

cnf(hyp6,hypothesis,
    a_53 = store(a_49,i4,e_52),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).

cnf(hyp26,hypothesis,
    e_52 = select(a_51,i4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp26) ).

cnf(hyp27,hypothesis,
    e_54 = select(a_49,i4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp27) ).

cnf(hyp5,hypothesis,
    a_51 = store(a_47,i3,e_50),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).

cnf(hyp4,hypothesis,
    a_49 = store(a_45,i3,e_48),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).

cnf(hyp24,hypothesis,
    e_48 = select(a_47,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).

cnf(hyp25,hypothesis,
    e_50 = select(a_45,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp25) ).

cnf(hyp3,hypothesis,
    a_47 = store(a_43,i2,e_46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).

cnf(hyp2,hypothesis,
    a_45 = store(a_41,i2,e_44),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).

cnf(hyp22,hypothesis,
    e_44 = select(a_43,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).

cnf(hyp23,hypothesis,
    e_46 = select(a_41,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).

cnf(hyp1,hypothesis,
    a_43 = store(a2,i1,e_42),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).

cnf(hyp0,hypothesis,
    a_41 = store(a1,i1,e_40),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).

cnf(hyp20,hypothesis,
    e_40 = select(a2,i1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).

cnf(hyp21,hypothesis,
    e_42 = select(a1,i1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).

cnf(goal,negated_conjecture,
    a1 != a2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(c_0_44,hypothesis,
    a_79 = store(a_75,i10,e_78),
    hyp19 ).

cnf(c_0_45,hypothesis,
    a_77 = a_79,
    hyp40 ).

cnf(c_0_46,axiom,
    select(store(X1,X2,X3),X2) = X3,
    a1 ).

cnf(c_0_47,hypothesis,
    a_77 = store(a_73,i10,e_76),
    hyp18 ).

cnf(c_0_48,axiom,
    store(X1,X2,select(X1,X2)) = X1,
    a3 ).

cnf(c_0_49,hypothesis,
    e_78 = select(a_73,i10),
    hyp39 ).

cnf(c_0_50,hypothesis,
    store(a_75,i10,e_78) = a_77,
    inference(rw,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_51,hypothesis,
    select(a_77,i10) = e_76,
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_52,hypothesis,
    e_76 = select(a_75,i10),
    hyp38 ).

cnf(c_0_53,hypothesis,
    a_73 = store(a_69,i9,e_72),
    hyp16 ).

cnf(c_0_54,hypothesis,
    store(a_73,i10,e_78) = a_73,
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_55,hypothesis,
    e_78 = e_76,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_50]),c_0_51]) ).

cnf(c_0_56,hypothesis,
    a_75 = store(a_71,i9,e_74),
    hyp17 ).

cnf(c_0_57,hypothesis,
    store(a_75,i10,e_76) = a_75,
    inference(spm,[status(thm)],[c_0_48,c_0_52]) ).

cnf(c_0_58,hypothesis,
    select(a_73,i9) = e_72,
    inference(spm,[status(thm)],[c_0_46,c_0_53]) ).

cnf(c_0_59,hypothesis,
    a_73 = a_77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55]),c_0_47]) ).

cnf(c_0_60,hypothesis,
    select(a_75,i9) = e_74,
    inference(spm,[status(thm)],[c_0_46,c_0_56]) ).

cnf(c_0_61,hypothesis,
    a_75 = a_77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_55]),c_0_57]) ).

cnf(c_0_62,hypothesis,
    select(a_77,i9) = e_72,
    inference(rw,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_63,hypothesis,
    e_72 = select(a_71,i9),
    hyp36 ).

cnf(c_0_64,hypothesis,
    e_74 = select(a_69,i9),
    hyp37 ).

cnf(c_0_65,hypothesis,
    e_74 = e_72,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).

cnf(c_0_66,hypothesis,
    a_71 = store(a_67,i8,e_70),
    hyp15 ).

cnf(c_0_67,hypothesis,
    store(a_71,i9,e_72) = a_71,
    inference(spm,[status(thm)],[c_0_48,c_0_63]) ).

cnf(c_0_68,hypothesis,
    a_69 = store(a_65,i8,e_68),
    hyp14 ).

cnf(c_0_69,hypothesis,
    select(a_69,i9) = e_72,
    inference(rw,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_70,hypothesis,
    store(a_69,i9,e_72) = a_77,
    inference(rw,[status(thm)],[c_0_53,c_0_59]) ).

cnf(c_0_71,hypothesis,
    select(a_71,i8) = e_70,
    inference(spm,[status(thm)],[c_0_46,c_0_66]) ).

cnf(c_0_72,hypothesis,
    a_71 = a_77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_61]),c_0_65]),c_0_67]) ).

cnf(c_0_73,hypothesis,
    select(a_69,i8) = e_68,
    inference(spm,[status(thm)],[c_0_46,c_0_68]) ).

cnf(c_0_74,hypothesis,
    a_69 = a_77,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_69]),c_0_70]) ).

cnf(c_0_75,hypothesis,
    select(a_77,i8) = e_70,
    inference(rw,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_76,hypothesis,
    e_68 = select(a_67,i8),
    hyp34 ).

cnf(c_0_77,hypothesis,
    e_70 = select(a_65,i8),
    hyp35 ).

cnf(c_0_78,hypothesis,
    a_67 = store(a_63,i7,e_66),
    hyp13 ).

cnf(c_0_79,hypothesis,
    store(a_67,i8,e_70) = a_77,
    inference(rw,[status(thm)],[c_0_66,c_0_72]) ).

cnf(c_0_80,hypothesis,
    e_70 = e_68,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).

cnf(c_0_81,hypothesis,
    store(a_67,i8,e_68) = a_67,
    inference(spm,[status(thm)],[c_0_48,c_0_76]) ).

cnf(c_0_82,hypothesis,
    a_65 = store(a_61,i7,e_64),
    hyp12 ).

cnf(c_0_83,hypothesis,
    store(a_65,i8,e_70) = a_65,
    inference(spm,[status(thm)],[c_0_48,c_0_77]) ).

cnf(c_0_84,hypothesis,
    store(a_65,i8,e_68) = a_77,
    inference(rw,[status(thm)],[c_0_68,c_0_74]) ).

cnf(c_0_85,hypothesis,
    select(a_67,i7) = e_66,
    inference(spm,[status(thm)],[c_0_46,c_0_78]) ).

cnf(c_0_86,hypothesis,
    a_67 = a_77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).

cnf(c_0_87,hypothesis,
    select(a_65,i7) = e_64,
    inference(spm,[status(thm)],[c_0_46,c_0_82]) ).

cnf(c_0_88,hypothesis,
    a_65 = a_77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_80]),c_0_84]) ).

cnf(c_0_89,hypothesis,
    select(a_77,i7) = e_66,
    inference(rw,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_90,hypothesis,
    e_64 = select(a_63,i7),
    hyp32 ).

cnf(c_0_91,hypothesis,
    e_66 = select(a_61,i7),
    hyp33 ).

cnf(c_0_92,hypothesis,
    a_63 = store(a_59,i6,e_62),
    hyp11 ).

cnf(c_0_93,hypothesis,
    e_66 = e_64,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).

cnf(c_0_94,hypothesis,
    store(a_63,i7,e_64) = a_63,
    inference(spm,[status(thm)],[c_0_48,c_0_90]) ).

cnf(c_0_95,hypothesis,
    a_61 = store(a_57,i6,e_60),
    hyp10 ).

cnf(c_0_96,hypothesis,
    store(a_61,i7,e_66) = a_61,
    inference(spm,[status(thm)],[c_0_48,c_0_91]) ).

cnf(c_0_97,hypothesis,
    store(a_61,i7,e_64) = a_77,
    inference(rw,[status(thm)],[c_0_82,c_0_88]) ).

cnf(c_0_98,hypothesis,
    select(a_63,i6) = e_62,
    inference(spm,[status(thm)],[c_0_46,c_0_92]) ).

cnf(c_0_99,hypothesis,
    a_63 = a_77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_86]),c_0_93]),c_0_94]) ).

cnf(c_0_100,hypothesis,
    select(a_61,i6) = e_60,
    inference(spm,[status(thm)],[c_0_46,c_0_95]) ).

cnf(c_0_101,hypothesis,
    a_61 = a_77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_93]),c_0_97]) ).

cnf(c_0_102,hypothesis,
    select(a_77,i6) = e_62,
    inference(rw,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_103,hypothesis,
    e_60 = select(a_59,i6),
    hyp30 ).

cnf(c_0_104,hypothesis,
    e_62 = select(a_57,i6),
    hyp31 ).

cnf(c_0_105,hypothesis,
    a_59 = store(a_55,i5,e_58),
    hyp9 ).

cnf(c_0_106,hypothesis,
    e_62 = e_60,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).

cnf(c_0_107,hypothesis,
    store(a_59,i6,e_60) = a_59,
    inference(spm,[status(thm)],[c_0_48,c_0_103]) ).

cnf(c_0_108,hypothesis,
    a_57 = store(a_53,i5,e_56),
    hyp8 ).

cnf(c_0_109,hypothesis,
    store(a_57,i6,e_62) = a_57,
    inference(spm,[status(thm)],[c_0_48,c_0_104]) ).

cnf(c_0_110,hypothesis,
    store(a_57,i6,e_60) = a_77,
    inference(rw,[status(thm)],[c_0_95,c_0_101]) ).

cnf(c_0_111,hypothesis,
    select(a_59,i5) = e_58,
    inference(spm,[status(thm)],[c_0_46,c_0_105]) ).

cnf(c_0_112,hypothesis,
    a_59 = a_77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_99]),c_0_106]),c_0_107]) ).

cnf(c_0_113,hypothesis,
    select(a_57,i5) = e_56,
    inference(spm,[status(thm)],[c_0_46,c_0_108]) ).

cnf(c_0_114,hypothesis,
    a_57 = a_77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_106]),c_0_110]) ).

cnf(c_0_115,hypothesis,
    select(a_77,i5) = e_58,
    inference(rw,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_116,hypothesis,
    e_56 = select(a_55,i5),
    hyp28 ).

cnf(c_0_117,hypothesis,
    e_58 = select(a_53,i5),
    hyp29 ).

cnf(c_0_118,hypothesis,
    a_55 = store(a_51,i4,e_54),
    hyp7 ).

cnf(c_0_119,hypothesis,
    e_58 = e_56,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).

cnf(c_0_120,hypothesis,
    store(a_55,i5,e_56) = a_55,
    inference(spm,[status(thm)],[c_0_48,c_0_116]) ).

cnf(c_0_121,hypothesis,
    a_53 = store(a_49,i4,e_52),
    hyp6 ).

cnf(c_0_122,hypothesis,
    store(a_53,i5,e_58) = a_53,
    inference(spm,[status(thm)],[c_0_48,c_0_117]) ).

cnf(c_0_123,hypothesis,
    store(a_53,i5,e_56) = a_77,
    inference(rw,[status(thm)],[c_0_108,c_0_114]) ).

cnf(c_0_124,hypothesis,
    select(a_55,i4) = e_54,
    inference(spm,[status(thm)],[c_0_46,c_0_118]) ).

cnf(c_0_125,hypothesis,
    a_55 = a_77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_112]),c_0_119]),c_0_120]) ).

cnf(c_0_126,hypothesis,
    select(a_53,i4) = e_52,
    inference(spm,[status(thm)],[c_0_46,c_0_121]) ).

cnf(c_0_127,hypothesis,
    a_53 = a_77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_119]),c_0_123]) ).

cnf(c_0_128,hypothesis,
    select(a_77,i4) = e_54,
    inference(rw,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_129,hypothesis,
    e_52 = select(a_51,i4),
    hyp26 ).

cnf(c_0_130,hypothesis,
    e_54 = select(a_49,i4),
    hyp27 ).

cnf(c_0_131,hypothesis,
    a_51 = store(a_47,i3,e_50),
    hyp5 ).

cnf(c_0_132,hypothesis,
    e_54 = e_52,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_127]),c_0_128]) ).

cnf(c_0_133,hypothesis,
    store(a_51,i4,e_52) = a_51,
    inference(spm,[status(thm)],[c_0_48,c_0_129]) ).

cnf(c_0_134,hypothesis,
    a_49 = store(a_45,i3,e_48),
    hyp4 ).

cnf(c_0_135,hypothesis,
    store(a_49,i4,e_54) = a_49,
    inference(spm,[status(thm)],[c_0_48,c_0_130]) ).

cnf(c_0_136,hypothesis,
    store(a_49,i4,e_52) = a_77,
    inference(rw,[status(thm)],[c_0_121,c_0_127]) ).

cnf(c_0_137,hypothesis,
    select(a_51,i3) = e_50,
    inference(spm,[status(thm)],[c_0_46,c_0_131]) ).

cnf(c_0_138,hypothesis,
    a_51 = a_77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_125]),c_0_132]),c_0_133]) ).

cnf(c_0_139,hypothesis,
    select(a_49,i3) = e_48,
    inference(spm,[status(thm)],[c_0_46,c_0_134]) ).

cnf(c_0_140,hypothesis,
    a_49 = a_77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_132]),c_0_136]) ).

cnf(c_0_141,hypothesis,
    select(a_77,i3) = e_50,
    inference(rw,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_142,hypothesis,
    e_48 = select(a_47,i3),
    hyp24 ).

cnf(c_0_143,hypothesis,
    e_50 = select(a_45,i3),
    hyp25 ).

cnf(c_0_144,hypothesis,
    a_47 = store(a_43,i2,e_46),
    hyp3 ).

cnf(c_0_145,hypothesis,
    e_50 = e_48,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_140]),c_0_141]) ).

cnf(c_0_146,hypothesis,
    store(a_47,i3,e_48) = a_47,
    inference(spm,[status(thm)],[c_0_48,c_0_142]) ).

cnf(c_0_147,hypothesis,
    a_45 = store(a_41,i2,e_44),
    hyp2 ).

cnf(c_0_148,hypothesis,
    store(a_45,i3,e_50) = a_45,
    inference(spm,[status(thm)],[c_0_48,c_0_143]) ).

cnf(c_0_149,hypothesis,
    store(a_45,i3,e_48) = a_77,
    inference(rw,[status(thm)],[c_0_134,c_0_140]) ).

cnf(c_0_150,hypothesis,
    select(a_47,i2) = e_46,
    inference(spm,[status(thm)],[c_0_46,c_0_144]) ).

cnf(c_0_151,hypothesis,
    a_47 = a_77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_138]),c_0_145]),c_0_146]) ).

cnf(c_0_152,hypothesis,
    select(a_45,i2) = e_44,
    inference(spm,[status(thm)],[c_0_46,c_0_147]) ).

cnf(c_0_153,hypothesis,
    a_45 = a_77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_145]),c_0_149]) ).

cnf(c_0_154,hypothesis,
    select(a_77,i2) = e_46,
    inference(rw,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_155,hypothesis,
    e_44 = select(a_43,i2),
    hyp22 ).

cnf(c_0_156,hypothesis,
    e_46 = select(a_41,i2),
    hyp23 ).

cnf(c_0_157,hypothesis,
    a_43 = store(a2,i1,e_42),
    hyp1 ).

cnf(c_0_158,hypothesis,
    e_46 = e_44,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_153]),c_0_154]) ).

cnf(c_0_159,hypothesis,
    store(a_43,i2,e_44) = a_43,
    inference(spm,[status(thm)],[c_0_48,c_0_155]) ).

cnf(c_0_160,hypothesis,
    a_41 = store(a1,i1,e_40),
    hyp0 ).

cnf(c_0_161,hypothesis,
    store(a_41,i2,e_46) = a_41,
    inference(spm,[status(thm)],[c_0_48,c_0_156]) ).

cnf(c_0_162,hypothesis,
    store(a_41,i2,e_44) = a_77,
    inference(rw,[status(thm)],[c_0_147,c_0_153]) ).

cnf(c_0_163,hypothesis,
    select(a_43,i1) = e_42,
    inference(spm,[status(thm)],[c_0_46,c_0_157]) ).

cnf(c_0_164,hypothesis,
    a_43 = a_77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_151]),c_0_158]),c_0_159]) ).

cnf(c_0_165,hypothesis,
    select(a_41,i1) = e_40,
    inference(spm,[status(thm)],[c_0_46,c_0_160]) ).

cnf(c_0_166,hypothesis,
    a_41 = a_77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_158]),c_0_162]) ).

cnf(c_0_167,hypothesis,
    select(a_77,i1) = e_42,
    inference(rw,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_168,hypothesis,
    e_40 = select(a2,i1),
    hyp20 ).

cnf(c_0_169,hypothesis,
    e_42 = select(a1,i1),
    hyp21 ).

cnf(c_0_170,hypothesis,
    store(a2,i1,e_42) = a_77,
    inference(rw,[status(thm)],[c_0_157,c_0_164]) ).

cnf(c_0_171,hypothesis,
    e_42 = e_40,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_166]),c_0_167]) ).

cnf(c_0_172,hypothesis,
    store(a2,i1,e_40) = a2,
    inference(spm,[status(thm)],[c_0_48,c_0_168]) ).

cnf(c_0_173,hypothesis,
    store(a1,i1,e_42) = a1,
    inference(spm,[status(thm)],[c_0_48,c_0_169]) ).

cnf(c_0_174,negated_conjecture,
    a1 != a2,
    goal ).

cnf(c_0_175,hypothesis,
    a2 = a_77,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171]),c_0_172]) ).

cnf(c_0_176,hypothesis,
    store(a1,i1,e_40) = a1,
    inference(rw,[status(thm)],[c_0_173,c_0_171]) ).

cnf(c_0_177,hypothesis,
    store(a1,i1,e_40) = a_77,
    inference(rw,[status(thm)],[c_0_160,c_0_166]) ).

cnf(c_0_178,negated_conjecture,
    a1 != a_77,
    inference(rw,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_179,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem    : SWV558-1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n001.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   : Tue Aug 29 04:15:21 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 0.20/0.59  % Version  : CSE_E---1.5
% 0.20/0.59  % Problem  : theBenchmark.p
% 0.20/0.59  % Proof found
% 0.20/0.59  % SZS status Theorem for theBenchmark.p
% 0.20/0.59  % SZS output start Proof
% See solution above
% 0.20/0.60  % Total time : 0.013000 s
% 0.20/0.60  % SZS output end Proof
% 0.20/0.60  % Total time : 0.017000 s
%------------------------------------------------------------------------------