TSTP Solution File: SWV547-1.007 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV547-1.007 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n017.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 21:45:44 EDT 2023

% Result   : Unsatisfiable 0.18s 0.62s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :  111
% Syntax   : Number of formulae    :  278 ( 149 unt;  61 typ;   0 def)
%            Number of atoms       :  343 ( 342 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  134 (   8   ~; 126   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    7 (   3   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   61 (  61 usr;  58 con; 0-3 aty)
%            Number of variables   :   63 (   4 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_834: $i ).

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

tff(decl_26,type,
    i4: $i ).

tff(decl_27,type,
    e_833: $i ).

tff(decl_28,type,
    a_836: $i ).

tff(decl_29,type,
    i3: $i ).

tff(decl_30,type,
    e_835: $i ).

tff(decl_31,type,
    a_838: $i ).

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

tff(decl_33,type,
    e_837: $i ).

tff(decl_34,type,
    a_840: $i ).

tff(decl_35,type,
    i1: $i ).

tff(decl_36,type,
    e_839: $i ).

tff(decl_37,type,
    a_842: $i ).

tff(decl_38,type,
    i0: $i ).

tff(decl_39,type,
    e_841: $i ).

tff(decl_40,type,
    a_844: $i ).

tff(decl_41,type,
    i5: $i ).

tff(decl_42,type,
    e_843: $i ).

tff(decl_43,type,
    a_846: $i ).

tff(decl_44,type,
    e_845: $i ).

tff(decl_45,type,
    a_848: $i ).

tff(decl_46,type,
    e_847: $i ).

tff(decl_47,type,
    a_850: $i ).

tff(decl_48,type,
    e_849: $i ).

tff(decl_49,type,
    a_851: $i ).

tff(decl_50,type,
    a_853: $i ).

tff(decl_51,type,
    e_852: $i ).

tff(decl_52,type,
    a_855: $i ).

tff(decl_53,type,
    e_854: $i ).

tff(decl_54,type,
    a_857: $i ).

tff(decl_55,type,
    e_856: $i ).

tff(decl_56,type,
    a_859: $i ).

tff(decl_57,type,
    e_858: $i ).

tff(decl_58,type,
    a_860: $i ).

tff(decl_59,type,
    a_861: $i ).

tff(decl_60,type,
    a_863: $i ).

tff(decl_61,type,
    e_862: $i ).

tff(decl_62,type,
    a_865: $i ).

tff(decl_63,type,
    e_864: $i ).

tff(decl_64,type,
    a_867: $i ).

tff(decl_65,type,
    e_866: $i ).

tff(decl_66,type,
    a_869: $i ).

tff(decl_67,type,
    e_868: $i ).

tff(decl_68,type,
    a_871: $i ).

tff(decl_69,type,
    e_870: $i ).

tff(decl_70,type,
    a_872: $i ).

tff(decl_71,type,
    a_874: $i ).

tff(decl_72,type,
    e_873: $i ).

tff(decl_73,type,
    a_876: $i ).

tff(decl_74,type,
    e_875: $i ).

tff(decl_75,type,
    a_878: $i ).

tff(decl_76,type,
    e_877: $i ).

tff(decl_77,type,
    a_880: $i ).

tff(decl_78,type,
    e_879: $i ).

tff(decl_79,type,
    e_882: $i ).

tff(decl_80,type,
    i_881: $i ).

tff(decl_81,type,
    e_883: $i ).

tff(decl_82,type,
    sk: ( $i * $i ) > $i ).

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

cnf(hyp23,hypothesis,
    a_876 = store(a_874,i2,e_875),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).

cnf(hyp46,hypothesis,
    e_877 = select(a_876,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp46) ).

cnf(hyp11,hypothesis,
    a_855 = store(a_853,i2,e_854),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).

cnf(hyp37,hypothesis,
    e_856 = select(a_855,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp37) ).

cnf(hyp24,hypothesis,
    a_878 = store(a_876,i5,e_877),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).

cnf(hyp12,hypothesis,
    a_857 = store(a_855,i5,e_856),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).

cnf(a2,axiom,
    ( X1 = X2
    | select(store(X3,X1,X4),X2) = select(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).

cnf(hyp25,hypothesis,
    a_880 = store(a_878,i2,e_879),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).

cnf(hyp13,hypothesis,
    a_859 = store(a_857,i2,e_858),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).

cnf(hyp22,hypothesis,
    a_874 = store(a_872,i5,e_873),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).

cnf(hyp10,hypothesis,
    a_853 = store(a_851,i5,e_852),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).

cnf(hyp5,hypothesis,
    a_844 = store(a_842,i5,e_843),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).

cnf(hyp32,hypothesis,
    e_845 = select(a_844,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp32) ).

cnf(hyp21,hypothesis,
    a_872 = store(a_871,i1,e_870),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).

cnf(hyp20,hypothesis,
    a_871 = store(a_869,i1,e_870),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).

cnf(hyp49,hypothesis,
    e_883 = select(a_880,i_881),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp49) ).

cnf(hyp9,hypothesis,
    a_851 = store(a_850,i1,e_849),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).

cnf(hyp8,hypothesis,
    a_850 = store(a_848,i1,e_849),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).

cnf(hyp48,hypothesis,
    e_882 = select(a_859,i_881),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp48) ).

cnf(hyp6,hypothesis,
    a_846 = store(a_844,i2,e_845),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).

cnf(hyp19,hypothesis,
    a_869 = store(a_867,i2,e_868),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).

cnf(hyp18,hypothesis,
    a_867 = store(a_865,i5,e_866),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).

cnf(hyp7,hypothesis,
    a_848 = store(a_846,i5,e_847),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).

cnf(hyp17,hypothesis,
    a_865 = store(a_863,i0,e_864),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).

cnf(hyp16,hypothesis,
    a_863 = store(a_861,i5,e_862),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).

cnf(hyp4,hypothesis,
    a_842 = store(a_840,i0,e_841),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).

cnf(hyp15,hypothesis,
    a_861 = store(a_860,i2,e_837),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).

cnf(hyp14,hypothesis,
    a_860 = store(a_836,i1,e_839),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).

cnf(hyp3,hypothesis,
    a_840 = store(a_838,i1,e_839),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).

cnf(hyp2,hypothesis,
    a_838 = store(a_836,i2,e_837),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).

cnf(a3,axiom,
    store(store(X1,X2,select(X1,X3)),X3,select(X1,X2)) = store(store(X1,X3,select(X1,X2)),X2,select(X1,X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).

cnf(hyp28,hypothesis,
    e_837 = select(a_836,i1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp28) ).

cnf(goal,negated_conjecture,
    e_882 != e_883,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

cnf(hyp40,hypothesis,
    e_864 = select(a_861,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp40) ).

cnf(hyp29,hypothesis,
    e_839 = select(a_836,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp29) ).

cnf(hyp42,hypothesis,
    e_868 = select(a_865,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp42) ).

cnf(hyp39,hypothesis,
    e_862 = select(a_861,i0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp39) ).

cnf(hyp30,hypothesis,
    e_841 = select(a_840,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp30) ).

cnf(hyp31,hypothesis,
    e_843 = select(a_840,i0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp31) ).

cnf(hyp41,hypothesis,
    e_866 = select(a_865,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp41) ).

cnf(hyp33,hypothesis,
    e_847 = select(a_844,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp33) ).

cnf(hyp47,hypothesis,
    e_879 = select(a_876,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp47) ).

cnf(hyp43,hypothesis,
    e_870 = select(a_869,i1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp43) ).

cnf(hyp34,hypothesis,
    e_849 = select(a_848,i1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp34) ).

cnf(hyp38,hypothesis,
    e_858 = select(a_855,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp38) ).

cnf(hyp45,hypothesis,
    e_875 = select(a_872,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp45) ).

cnf(hyp36,hypothesis,
    e_854 = select(a_851,i5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp36) ).

cnf(hyp44,hypothesis,
    e_873 = select(a_872,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp44) ).

cnf(hyp35,hypothesis,
    e_852 = select(a_851,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp35) ).

cnf(c_0_50,axiom,
    select(store(X1,X2,X3),X2) = X3,
    a1 ).

cnf(c_0_51,hypothesis,
    a_876 = store(a_874,i2,e_875),
    hyp23 ).

cnf(c_0_52,hypothesis,
    e_877 = select(a_876,i2),
    hyp46 ).

cnf(c_0_53,hypothesis,
    a_855 = store(a_853,i2,e_854),
    hyp11 ).

cnf(c_0_54,hypothesis,
    e_856 = select(a_855,i2),
    hyp37 ).

cnf(c_0_55,hypothesis,
    a_878 = store(a_876,i5,e_877),
    hyp24 ).

cnf(c_0_56,hypothesis,
    e_877 = e_875,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).

cnf(c_0_57,hypothesis,
    a_857 = store(a_855,i5,e_856),
    hyp12 ).

cnf(c_0_58,hypothesis,
    e_856 = e_854,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_53]),c_0_54]) ).

cnf(c_0_59,axiom,
    ( X1 = X2
    | select(store(X3,X1,X4),X2) = select(X3,X2) ),
    a2 ).

cnf(c_0_60,hypothesis,
    a_880 = store(a_878,i2,e_879),
    hyp25 ).

cnf(c_0_61,hypothesis,
    store(a_876,i5,e_875) = a_878,
    inference(rw,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_62,hypothesis,
    a_859 = store(a_857,i2,e_858),
    hyp13 ).

cnf(c_0_63,hypothesis,
    store(a_855,i5,e_854) = a_857,
    inference(rw,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_64,hypothesis,
    a_874 = store(a_872,i5,e_873),
    hyp22 ).

cnf(c_0_65,hypothesis,
    ( select(a_878,X1) = select(a_880,X1)
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_66,hypothesis,
    ( select(a_878,X1) = select(a_876,X1)
    | i5 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_61]) ).

cnf(c_0_67,hypothesis,
    a_853 = store(a_851,i5,e_852),
    hyp10 ).

cnf(c_0_68,hypothesis,
    ( select(a_857,X1) = select(a_859,X1)
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_62]) ).

cnf(c_0_69,hypothesis,
    ( select(a_857,X1) = select(a_855,X1)
    | i5 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_63]) ).

cnf(c_0_70,hypothesis,
    a_844 = store(a_842,i5,e_843),
    hyp5 ).

cnf(c_0_71,hypothesis,
    e_845 = select(a_844,i5),
    hyp32 ).

cnf(c_0_72,hypothesis,
    a_872 = store(a_871,i1,e_870),
    hyp21 ).

cnf(c_0_73,hypothesis,
    a_871 = store(a_869,i1,e_870),
    hyp20 ).

cnf(c_0_74,hypothesis,
    ( select(a_874,X1) = select(a_876,X1)
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_51]) ).

cnf(c_0_75,hypothesis,
    ( select(a_874,X1) = select(a_872,X1)
    | i5 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_64]) ).

cnf(c_0_76,hypothesis,
    e_883 = select(a_880,i_881),
    hyp49 ).

cnf(c_0_77,hypothesis,
    ( select(a_880,X1) = select(a_876,X1)
    | i5 = X1
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_78,hypothesis,
    a_851 = store(a_850,i1,e_849),
    hyp9 ).

cnf(c_0_79,hypothesis,
    a_850 = store(a_848,i1,e_849),
    hyp8 ).

cnf(c_0_80,hypothesis,
    ( select(a_853,X1) = select(a_855,X1)
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_53]) ).

cnf(c_0_81,hypothesis,
    ( select(a_853,X1) = select(a_851,X1)
    | i5 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_67]) ).

cnf(c_0_82,hypothesis,
    e_882 = select(a_859,i_881),
    hyp48 ).

cnf(c_0_83,hypothesis,
    ( select(a_859,X1) = select(a_855,X1)
    | i5 = X1
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_84,hypothesis,
    a_846 = store(a_844,i2,e_845),
    hyp6 ).

cnf(c_0_85,hypothesis,
    e_845 = e_843,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_70]),c_0_71]) ).

cnf(c_0_86,hypothesis,
    a_869 = store(a_867,i2,e_868),
    hyp19 ).

cnf(c_0_87,hypothesis,
    a_867 = store(a_865,i5,e_866),
    hyp18 ).

cnf(c_0_88,hypothesis,
    ( select(a_871,X1) = select(a_872,X1)
    | i1 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_72]) ).

cnf(c_0_89,hypothesis,
    ( select(a_871,X1) = select(a_869,X1)
    | i1 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_73]) ).

cnf(c_0_90,hypothesis,
    ( select(a_876,X1) = select(a_872,X1)
    | i5 = X1
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_91,hypothesis,
    ( select(a_876,i_881) = e_883
    | i_881 = i2
    | i_881 = i5 ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_92,hypothesis,
    ( select(a_850,X1) = select(a_851,X1)
    | i1 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_78]) ).

cnf(c_0_93,hypothesis,
    ( select(a_850,X1) = select(a_848,X1)
    | i1 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_79]) ).

cnf(c_0_94,hypothesis,
    ( select(a_855,X1) = select(a_851,X1)
    | i5 = X1
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_95,hypothesis,
    ( select(a_855,i_881) = e_882
    | i_881 = i2
    | i_881 = i5 ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_96,hypothesis,
    a_848 = store(a_846,i5,e_847),
    hyp7 ).

cnf(c_0_97,hypothesis,
    store(a_844,i2,e_843) = a_846,
    inference(rw,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_98,hypothesis,
    a_865 = store(a_863,i0,e_864),
    hyp17 ).

cnf(c_0_99,hypothesis,
    a_863 = store(a_861,i5,e_862),
    hyp16 ).

cnf(c_0_100,hypothesis,
    ( select(a_867,X1) = select(a_869,X1)
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_86]) ).

cnf(c_0_101,hypothesis,
    ( select(a_867,X1) = select(a_865,X1)
    | i5 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_87]) ).

cnf(c_0_102,hypothesis,
    ( select(a_872,X1) = select(a_869,X1)
    | i1 = X1 ),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_103,hypothesis,
    ( select(a_872,i_881) = e_883
    | i_881 = i2
    | i_881 = i5 ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_104,hypothesis,
    a_842 = store(a_840,i0,e_841),
    hyp4 ).

cnf(c_0_105,hypothesis,
    ( select(a_851,X1) = select(a_848,X1)
    | i1 = X1 ),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_106,hypothesis,
    ( select(a_851,i_881) = e_882
    | i_881 = i2
    | i_881 = i5 ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_107,hypothesis,
    ( select(a_846,X1) = select(a_848,X1)
    | i5 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_96]) ).

cnf(c_0_108,hypothesis,
    ( select(a_846,X1) = select(a_844,X1)
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_97]) ).

cnf(c_0_109,hypothesis,
    a_861 = store(a_860,i2,e_837),
    hyp15 ).

cnf(c_0_110,hypothesis,
    a_860 = store(a_836,i1,e_839),
    hyp14 ).

cnf(c_0_111,hypothesis,
    ( select(a_863,X1) = select(a_865,X1)
    | i0 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_98]) ).

cnf(c_0_112,hypothesis,
    ( select(a_863,X1) = select(a_861,X1)
    | i5 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_99]) ).

cnf(c_0_113,hypothesis,
    ( select(a_869,X1) = select(a_865,X1)
    | i5 = X1
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_114,hypothesis,
    ( select(a_869,i_881) = e_883
    | i_881 = i5
    | i_881 = i2
    | i_881 = i1 ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_115,hypothesis,
    a_840 = store(a_838,i1,e_839),
    hyp3 ).

cnf(c_0_116,hypothesis,
    a_838 = store(a_836,i2,e_837),
    hyp2 ).

cnf(c_0_117,hypothesis,
    ( select(a_842,X1) = select(a_844,X1)
    | i5 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_70]) ).

cnf(c_0_118,hypothesis,
    ( select(a_842,X1) = select(a_840,X1)
    | i0 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_104]) ).

cnf(c_0_119,hypothesis,
    ( select(a_848,i_881) = e_882
    | i_881 = i5
    | i_881 = i2
    | i_881 = i1 ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_120,hypothesis,
    ( select(a_848,X1) = select(a_844,X1)
    | i2 = X1
    | i5 = X1 ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_121,hypothesis,
    ( select(a_860,X1) = select(a_861,X1)
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_109]) ).

cnf(c_0_122,hypothesis,
    ( select(a_860,X1) = select(a_836,X1)
    | i1 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_110]) ).

cnf(c_0_123,hypothesis,
    ( select(a_865,X1) = select(a_861,X1)
    | i5 = X1
    | i0 = X1 ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_124,hypothesis,
    ( select(a_865,i_881) = e_883
    | i_881 = i1
    | i_881 = i2
    | i_881 = i5 ),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_125,hypothesis,
    ( select(a_838,X1) = select(a_840,X1)
    | i1 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_115]) ).

cnf(c_0_126,hypothesis,
    ( select(a_838,X1) = select(a_836,X1)
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_59,c_0_116]) ).

cnf(c_0_127,hypothesis,
    ( select(a_844,X1) = select(a_840,X1)
    | i0 = X1
    | i5 = X1 ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_128,hypothesis,
    ( select(a_844,i_881) = e_882
    | i_881 = i1
    | i_881 = i2
    | i_881 = i5 ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_129,hypothesis,
    ( select(a_861,X1) = select(a_836,X1)
    | i1 = X1
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_130,hypothesis,
    ( select(a_861,i_881) = e_883
    | i_881 = i2
    | i_881 = i1
    | i_881 = i0
    | i_881 = i5 ),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_131,hypothesis,
    ( select(a_840,X1) = select(a_836,X1)
    | i2 = X1
    | i1 = X1 ),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_132,hypothesis,
    ( select(a_840,i_881) = e_882
    | i_881 = i2
    | i_881 = i1
    | i_881 = i5
    | i_881 = i0 ),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_133,axiom,
    store(store(X1,X2,select(X1,X3)),X3,select(X1,X2)) = store(store(X1,X3,select(X1,X2)),X2,select(X1,X3)),
    a3 ).

cnf(c_0_134,hypothesis,
    e_837 = select(a_836,i1),
    hyp28 ).

cnf(c_0_135,hypothesis,
    ( select(a_836,i_881) = e_883
    | i_881 = i5
    | i_881 = i0
    | i_881 = i2
    | i_881 = i1 ),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_136,hypothesis,
    ( select(a_836,i_881) = e_882
    | i_881 = i0
    | i_881 = i5
    | i_881 = i1
    | i_881 = i2 ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_137,negated_conjecture,
    e_882 != e_883,
    goal ).

cnf(c_0_138,hypothesis,
    e_864 = select(a_861,i5),
    hyp40 ).

cnf(c_0_139,hypothesis,
    store(store(a_836,i1,select(a_836,X1)),X1,e_837) = store(store(a_836,X1,e_837),i1,select(a_836,X1)),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_140,hypothesis,
    e_839 = select(a_836,i2),
    hyp29 ).

cnf(c_0_141,hypothesis,
    ( i_881 = i1
    | i_881 = i2
    | i_881 = i0
    | i_881 = i5 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137]) ).

cnf(c_0_142,hypothesis,
    e_868 = select(a_865,i5),
    hyp42 ).

cnf(c_0_143,hypothesis,
    store(store(a_861,i5,select(a_861,X1)),X1,e_864) = store(store(a_861,X1,e_864),i5,select(a_861,X1)),
    inference(spm,[status(thm)],[c_0_133,c_0_138]) ).

cnf(c_0_144,hypothesis,
    e_862 = select(a_861,i0),
    hyp39 ).

cnf(c_0_145,hypothesis,
    a_861 = a_840,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_110]),c_0_109]),c_0_116]),c_0_115]) ).

cnf(c_0_146,hypothesis,
    e_841 = select(a_840,i5),
    hyp30 ).

cnf(c_0_147,hypothesis,
    e_843 = select(a_840,i0),
    hyp31 ).

cnf(c_0_148,hypothesis,
    ( i_881 = i5
    | i_881 = i2
    | i_881 = i1
    | i0 != i5 ),
    inference(ef,[status(thm)],[c_0_141]) ).

cnf(c_0_149,hypothesis,
    ( i_881 = i5
    | i_881 = i2
    | i_881 = i1
    | i0 != i2 ),
    inference(ef,[status(thm)],[c_0_141]) ).

cnf(c_0_150,hypothesis,
    store(store(a_865,i5,select(a_865,X1)),X1,e_868) = store(store(a_865,X1,e_868),i5,select(a_865,X1)),
    inference(spm,[status(thm)],[c_0_133,c_0_142]) ).

cnf(c_0_151,hypothesis,
    e_866 = select(a_865,i2),
    hyp41 ).

cnf(c_0_152,hypothesis,
    store(store(a_861,i0,e_864),i5,e_862) = a_865,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_99]),c_0_98]) ).

cnf(c_0_153,hypothesis,
    e_864 = e_841,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_145]),c_0_146]) ).

cnf(c_0_154,hypothesis,
    e_862 = e_843,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_145]),c_0_147]) ).

cnf(c_0_155,hypothesis,
    ( select(a_851,i0) = e_882
    | i_881 = i5
    | i_881 = i2
    | i_881 = i1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_141]),c_0_148]),c_0_149]) ).

cnf(c_0_156,hypothesis,
    ( i_881 = i5
    | i_881 = i2
    | i_881 = i1
    | i0 != i1 ),
    inference(ef,[status(thm)],[c_0_141]) ).

cnf(c_0_157,hypothesis,
    store(store(a_865,i2,e_868),i5,e_866) = a_869,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_87]),c_0_86]) ).

cnf(c_0_158,hypothesis,
    e_868 = e_862,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_152]),c_0_142]) ).

cnf(c_0_159,hypothesis,
    a_865 = a_844,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_145]),c_0_153]),c_0_104]),c_0_154]),c_0_70]) ).

cnf(c_0_160,hypothesis,
    e_847 = select(a_844,i2),
    hyp33 ).

cnf(c_0_161,hypothesis,
    select(a_865,i0) = e_864,
    inference(spm,[status(thm)],[c_0_50,c_0_98]) ).

cnf(c_0_162,hypothesis,
    select(a_842,i0) = e_841,
    inference(spm,[status(thm)],[c_0_50,c_0_104]) ).

cnf(c_0_163,hypothesis,
    ( select(a_848,i0) = e_882
    | i_881 = i1
    | i_881 = i2
    | i_881 = i5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_155]),c_0_156]) ).

cnf(c_0_164,hypothesis,
    e_879 = select(a_876,i5),
    hyp47 ).

cnf(c_0_165,hypothesis,
    store(store(a_865,i2,e_862),i5,e_866) = a_869,
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_166,hypothesis,
    e_866 = e_847,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_159]),c_0_160]) ).

cnf(c_0_167,hypothesis,
    ( i_881 = i5
    | i_881 = i2
    | i_881 = i1
    | e_883 = e_864 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_141]),c_0_161]),c_0_148]),c_0_149]),c_0_156]) ).

cnf(c_0_168,hypothesis,
    ( select(a_844,i0) = e_841
    | i0 = i5 ),
    inference(spm,[status(thm)],[c_0_162,c_0_117]) ).

cnf(c_0_169,hypothesis,
    ( select(a_844,i0) = e_882
    | i_881 = i5
    | i_881 = i2
    | i_881 = i1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_163]),c_0_148]),c_0_149]) ).

cnf(c_0_170,hypothesis,
    store(store(a_876,i5,select(a_876,X1)),X1,e_879) = store(store(a_876,X1,e_879),i5,select(a_876,X1)),
    inference(spm,[status(thm)],[c_0_133,c_0_164]) ).

cnf(c_0_171,hypothesis,
    select(a_876,i2) = e_875,
    inference(rw,[status(thm)],[c_0_52,c_0_56]) ).

cnf(c_0_172,hypothesis,
    e_870 = select(a_869,i1),
    hyp43 ).

cnf(c_0_173,hypothesis,
    a_869 = a_848,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_159]),c_0_154]),c_0_97]),c_0_166]),c_0_96]) ).

cnf(c_0_174,hypothesis,
    e_849 = select(a_848,i1),
    hyp34 ).

cnf(c_0_175,hypothesis,
    e_858 = select(a_855,i5),
    hyp38 ).

cnf(c_0_176,negated_conjecture,
    ( i_881 = i1
    | i_881 = i2
    | i_881 = i5
    | e_882 != e_864 ),
    inference(spm,[status(thm)],[c_0_137,c_0_167]) ).

cnf(c_0_177,hypothesis,
    ( i_881 = i1
    | i_881 = i2
    | i_881 = i5
    | e_882 = e_841 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_148]) ).

cnf(c_0_178,hypothesis,
    store(store(a_876,i2,e_879),i5,e_875) = a_880,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_61]),c_0_60]) ).

cnf(c_0_179,hypothesis,
    e_870 = e_849,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_173]),c_0_174]) ).

cnf(c_0_180,hypothesis,
    store(store(a_855,i5,select(a_855,X1)),X1,e_858) = store(store(a_855,X1,e_858),i5,select(a_855,X1)),
    inference(spm,[status(thm)],[c_0_133,c_0_175]) ).

cnf(c_0_181,hypothesis,
    select(a_855,i2) = e_854,
    inference(rw,[status(thm)],[c_0_54,c_0_58]) ).

cnf(c_0_182,negated_conjecture,
    ( i_881 = i5
    | i_881 = i2
    | i_881 = i1 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_153]),c_0_177]) ).

cnf(c_0_183,hypothesis,
    select(a_880,i5) = e_875,
    inference(spm,[status(thm)],[c_0_50,c_0_178]) ).

cnf(c_0_184,hypothesis,
    a_871 = a_850,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_173]),c_0_179]),c_0_79]) ).

cnf(c_0_185,hypothesis,
    store(store(a_855,i2,e_858),i5,e_854) = a_859,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_63]),c_0_62]) ).

cnf(c_0_186,hypothesis,
    e_875 = select(a_872,i5),
    hyp45 ).

cnf(c_0_187,hypothesis,
    ( i_881 = i1
    | i_881 = i2
    | e_883 = e_875 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_182]),c_0_183]) ).

cnf(c_0_188,hypothesis,
    a_872 = a_851,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_179]),c_0_184]),c_0_78]) ).

cnf(c_0_189,hypothesis,
    e_854 = select(a_851,i5),
    hyp36 ).

cnf(c_0_190,hypothesis,
    select(a_859,i5) = e_854,
    inference(spm,[status(thm)],[c_0_50,c_0_185]) ).

cnf(c_0_191,hypothesis,
    store(store(a_872,i5,select(a_872,X1)),X1,e_875) = store(store(a_872,X1,e_875),i5,select(a_872,X1)),
    inference(spm,[status(thm)],[c_0_133,c_0_186]) ).

cnf(c_0_192,hypothesis,
    e_873 = select(a_872,i2),
    hyp44 ).

cnf(c_0_193,negated_conjecture,
    ( i_881 = i2
    | i_881 = i1
    | e_882 != e_875 ),
    inference(spm,[status(thm)],[c_0_137,c_0_187]) ).

cnf(c_0_194,hypothesis,
    e_875 = e_854,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_188]),c_0_189]) ).

cnf(c_0_195,hypothesis,
    ( i_881 = i1
    | i_881 = i2
    | e_882 = e_854 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_182]),c_0_190]) ).

cnf(c_0_196,hypothesis,
    store(store(a_872,i2,e_875),i5,e_873) = a_876,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_64]),c_0_51]) ).

cnf(c_0_197,hypothesis,
    e_852 = select(a_851,i2),
    hyp35 ).

cnf(c_0_198,hypothesis,
    store(store(a_851,i5,select(a_851,X1)),X1,e_854) = store(store(a_851,X1,e_854),i5,select(a_851,X1)),
    inference(spm,[status(thm)],[c_0_133,c_0_189]) ).

cnf(c_0_199,negated_conjecture,
    ( i_881 = i1
    | i_881 = i2 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_194]),c_0_195]) ).

cnf(c_0_200,hypothesis,
    select(a_880,i2) = e_879,
    inference(spm,[status(thm)],[c_0_50,c_0_60]) ).

cnf(c_0_201,hypothesis,
    e_879 = e_873,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_196]),c_0_164]) ).

cnf(c_0_202,hypothesis,
    e_873 = e_852,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_188]),c_0_197]) ).

cnf(c_0_203,hypothesis,
    store(store(a_851,i2,e_854),i5,e_852) = a_855,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_197]),c_0_67]),c_0_53]) ).

cnf(c_0_204,hypothesis,
    ( i_881 = i1
    | e_883 = e_852 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_199]),c_0_200]),c_0_201]),c_0_202]) ).

cnf(c_0_205,hypothesis,
    select(a_859,i2) = e_858,
    inference(spm,[status(thm)],[c_0_50,c_0_62]) ).

cnf(c_0_206,hypothesis,
    e_858 = e_852,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_203]),c_0_175]) ).

cnf(c_0_207,negated_conjecture,
    ( i_881 = i1
    | e_882 != e_852 ),
    inference(spm,[status(thm)],[c_0_137,c_0_204]) ).

cnf(c_0_208,hypothesis,
    a_876 = a_855,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_188]),c_0_194]),c_0_202]),c_0_203]) ).

cnf(c_0_209,hypothesis,
    i_881 = i1,
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_199]),c_0_205]),c_0_206]),c_0_207]) ).

cnf(c_0_210,hypothesis,
    store(a_878,i2,e_873) = a_880,
    inference(rw,[status(thm)],[c_0_60,c_0_201]) ).

cnf(c_0_211,hypothesis,
    a_878 = a_857,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_194]),c_0_208]),c_0_63]) ).

cnf(c_0_212,hypothesis,
    store(a_857,i2,e_852) = a_859,
    inference(rw,[status(thm)],[c_0_62,c_0_206]) ).

cnf(c_0_213,hypothesis,
    select(a_880,i1) = e_883,
    inference(rw,[status(thm)],[c_0_76,c_0_209]) ).

cnf(c_0_214,hypothesis,
    a_880 = a_859,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_202]),c_0_211]),c_0_212]) ).

cnf(c_0_215,hypothesis,
    select(a_859,i1) = e_882,
    inference(rw,[status(thm)],[c_0_82,c_0_209]) ).

cnf(c_0_216,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_214]),c_0_215]),c_0_137]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV547-1.007 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 29 02:56:27 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.18/0.55  start to proof: theBenchmark
% 0.18/0.62  % Version  : CSE_E---1.5
% 0.18/0.62  % Problem  : theBenchmark.p
% 0.18/0.62  % Proof found
% 0.18/0.62  % SZS status Theorem for theBenchmark.p
% 0.18/0.62  % SZS output start Proof
% See solution above
% 0.18/0.63  % Total time : 0.058000 s
% 0.18/0.63  % SZS output end Proof
% 0.18/0.63  % Total time : 0.061000 s
%------------------------------------------------------------------------------