TSTP Solution File: SWV540-1.004 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV540-1.004 : 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 : n027.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 21:44:46 EDT 2023

% Result   : Unsatisfiable 5.69s 5.95s
% Output   : CNFRefutation 5.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   63
% Syntax   : Number of formulae    :  231 ( 130 unt;  32 typ;   0 def)
%            Number of atoms       :  284 ( 283 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   89 (   4   ~;  85   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   1 avg)
%            Maximal term depth    :    4 (   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    :   32 (  32 usr;  30 con; 0-3 aty)
%            Number of variables   :   72 (   8 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_417: $i ).

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

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

tff(decl_27,type,
    e_416: $i ).

tff(decl_28,type,
    a_418: $i ).

tff(decl_29,type,
    a_420: $i ).

tff(decl_30,type,
    i0: $i ).

tff(decl_31,type,
    e_419: $i ).

tff(decl_32,type,
    a_422: $i ).

tff(decl_33,type,
    i3: $i ).

tff(decl_34,type,
    e_421: $i ).

tff(decl_35,type,
    a_424: $i ).

tff(decl_36,type,
    e_423: $i ).

tff(decl_37,type,
    a_426: $i ).

tff(decl_38,type,
    i2: $i ).

tff(decl_39,type,
    e_425: $i ).

tff(decl_40,type,
    a_428: $i ).

tff(decl_41,type,
    e_427: $i ).

tff(decl_42,type,
    a_430: $i ).

tff(decl_43,type,
    e_429: $i ).

tff(decl_44,type,
    a_431: $i ).

tff(decl_45,type,
    a_432: $i ).

tff(decl_46,type,
    a_434: $i ).

tff(decl_47,type,
    e_433: $i ).

tff(decl_48,type,
    a_436: $i ).

tff(decl_49,type,
    e_435: $i ).

tff(decl_50,type,
    a_438: $i ).

tff(decl_51,type,
    e_437: $i ).

tff(decl_52,type,
    a_440: $i ).

tff(decl_53,type,
    e_439: $i ).

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

cnf(hyp14,hypothesis,
    e_416 = select(a1,i1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp14) ).

cnf(hyp0,hypothesis,
    a_417 = store(a1,i1,e_416),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).

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

cnf(hyp3,hypothesis,
    a_422 = store(a_420,i3,e_421),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).

cnf(hyp18,hypothesis,
    e_425 = select(a_422,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).

cnf(hyp1,hypothesis,
    a_418 = store(a_417,i1,e_416),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).

cnf(hyp8,hypothesis,
    a_431 = store(a_418,i3,e_421),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).

cnf(hyp16,hypothesis,
    e_421 = select(a_418,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).

cnf(a5,axiom,
    ( X1 = X2
    | store(store(X3,X1,X4),X2,X5) = store(store(X3,X2,X5),X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5) ).

cnf(hyp2,hypothesis,
    a_420 = store(a_418,i0,e_419),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).

cnf(hyp9,hypothesis,
    a_432 = store(a_431,i0,e_419),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).

cnf(hyp21,hypothesis,
    e_433 = select(a_432,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).

cnf(hyp17,hypothesis,
    e_423 = select(a_422,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).

cnf(a2,axiom,
    ( X1 = X2
    | select(store(X3,X1,X4),X2) = select(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).

cnf(hyp22,hypothesis,
    e_435 = select(a_432,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).

cnf(hyp15,hypothesis,
    e_419 = select(a_418,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).

cnf(hyp4,hypothesis,
    a_424 = store(a_422,i3,e_423),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).

cnf(a4,axiom,
    store(store(X1,X2,X3),X2,X4) = store(X1,X2,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).

cnf(hyp10,hypothesis,
    a_434 = store(a_432,i3,e_433),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).

cnf(hyp11,hypothesis,
    a_436 = store(a_434,i2,e_435),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).

cnf(hyp23,hypothesis,
    e_437 = select(a_436,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).

cnf(hyp12,hypothesis,
    a_438 = store(a_436,i0,e_437),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).

cnf(hyp5,hypothesis,
    a_426 = store(a_424,i2,e_425),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).

cnf(hyp20,hypothesis,
    e_429 = select(a_426,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).

cnf(hyp24,hypothesis,
    e_439 = select(a_436,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).

cnf(hyp6,hypothesis,
    a_428 = store(a_426,i2,e_427),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).

cnf(hyp19,hypothesis,
    e_427 = select(a_426,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).

cnf(hyp7,hypothesis,
    a_430 = store(a_428,i0,e_429),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).

cnf(hyp13,hypothesis,
    a_440 = store(a_438,i2,e_439),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).

cnf(goal,negated_conjecture,
    a_430 != a_440,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(c_0_31,axiom,
    store(X1,X2,select(X1,X2)) = X1,
    a3 ).

cnf(c_0_32,hypothesis,
    e_416 = select(a1,i1),
    hyp14 ).

cnf(c_0_33,hypothesis,
    a_417 = store(a1,i1,e_416),
    hyp0 ).

cnf(c_0_34,axiom,
    select(store(X1,X2,X3),X2) = X3,
    a1 ).

cnf(c_0_35,hypothesis,
    a_422 = store(a_420,i3,e_421),
    hyp3 ).

cnf(c_0_36,hypothesis,
    e_425 = select(a_422,i3),
    hyp18 ).

cnf(c_0_37,hypothesis,
    a_418 = store(a_417,i1,e_416),
    hyp1 ).

cnf(c_0_38,hypothesis,
    a_417 = a1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).

cnf(c_0_39,hypothesis,
    a_431 = store(a_418,i3,e_421),
    hyp8 ).

cnf(c_0_40,hypothesis,
    e_421 = e_425,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).

cnf(c_0_41,hypothesis,
    a_418 = a1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38]),c_0_33]),c_0_38]) ).

cnf(c_0_42,hypothesis,
    e_421 = select(a_418,i0),
    hyp16 ).

cnf(c_0_43,axiom,
    ( X1 = X2
    | store(store(X3,X1,X4),X2,X5) = store(store(X3,X2,X5),X1,X4) ),
    a5 ).

cnf(c_0_44,hypothesis,
    store(a1,i3,e_425) = a_431,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).

cnf(c_0_45,hypothesis,
    a_420 = store(a_418,i0,e_419),
    hyp2 ).

cnf(c_0_46,hypothesis,
    select(a1,i0) = e_425,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_40]),c_0_41]) ).

cnf(c_0_47,hypothesis,
    ( store(store(a1,X1,X2),i3,e_425) = store(a_431,X1,X2)
    | i3 = X1 ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_48,hypothesis,
    store(a1,i0,e_419) = a_420,
    inference(rw,[status(thm)],[c_0_45,c_0_41]) ).

cnf(c_0_49,hypothesis,
    store(a_420,i3,e_425) = a_422,
    inference(rw,[status(thm)],[c_0_35,c_0_40]) ).

cnf(c_0_50,hypothesis,
    a_432 = store(a_431,i0,e_419),
    hyp9 ).

cnf(c_0_51,hypothesis,
    store(a1,i0,e_425) = a1,
    inference(spm,[status(thm)],[c_0_31,c_0_46]) ).

cnf(c_0_52,hypothesis,
    ( i0 = i3
    | a_432 = a_422 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50]) ).

cnf(c_0_53,hypothesis,
    e_433 = select(a_432,i2),
    hyp21 ).

cnf(c_0_54,hypothesis,
    ( a_432 = a_422
    | a_431 = a1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_44]) ).

cnf(c_0_55,hypothesis,
    e_423 = select(a_422,i2),
    hyp17 ).

cnf(c_0_56,axiom,
    ( X1 = X2
    | select(store(X3,X1,X4),X2) = select(X3,X2) ),
    a2 ).

cnf(c_0_57,hypothesis,
    ( a_431 = a1
    | e_433 = e_423 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).

cnf(c_0_58,hypothesis,
    e_435 = select(a_432,i3),
    hyp22 ).

cnf(c_0_59,hypothesis,
    ( select(a_432,X1) = select(a_431,X1)
    | i0 = X1 ),
    inference(spm,[status(thm)],[c_0_56,c_0_50]) ).

cnf(c_0_60,hypothesis,
    select(a_431,i3) = e_425,
    inference(spm,[status(thm)],[c_0_34,c_0_44]) ).

cnf(c_0_61,hypothesis,
    e_419 = select(a_418,i3),
    hyp15 ).

cnf(c_0_62,hypothesis,
    ( select(a_422,X1) = select(a_420,X1)
    | i3 = X1 ),
    inference(spm,[status(thm)],[c_0_56,c_0_49]) ).

cnf(c_0_63,hypothesis,
    ( e_433 = e_423
    | a_432 = a_420 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_57]),c_0_48]) ).

cnf(c_0_64,hypothesis,
    select(a_432,i0) = e_419,
    inference(spm,[status(thm)],[c_0_34,c_0_50]) ).

cnf(c_0_65,hypothesis,
    ( i0 = i3
    | e_435 = e_425 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).

cnf(c_0_66,hypothesis,
    select(a1,i3) = e_419,
    inference(rw,[status(thm)],[c_0_61,c_0_41]) ).

cnf(c_0_67,hypothesis,
    ( select(a_420,i2) = e_423
    | i2 = i3 ),
    inference(spm,[status(thm)],[c_0_55,c_0_62]) ).

cnf(c_0_68,hypothesis,
    ( select(a_420,i2) = e_433
    | e_433 = e_423 ),
    inference(spm,[status(thm)],[c_0_53,c_0_63]) ).

cnf(c_0_69,hypothesis,
    ( e_435 = e_425
    | e_419 = e_435 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_58]) ).

cnf(c_0_70,hypothesis,
    ( e_435 = e_425
    | e_419 = e_425 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_65]),c_0_66]) ).

cnf(c_0_71,hypothesis,
    a_424 = store(a_422,i3,e_423),
    hyp4 ).

cnf(c_0_72,axiom,
    store(store(X1,X2,X3),X2,X4) = store(X1,X2,X4),
    a4 ).

cnf(c_0_73,hypothesis,
    a_434 = store(a_432,i3,e_433),
    hyp10 ).

cnf(c_0_74,hypothesis,
    ( i2 = i3
    | e_433 = e_423 ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_75,hypothesis,
    e_435 = e_425,
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_76,hypothesis,
    select(a_424,i3) = e_423,
    inference(spm,[status(thm)],[c_0_34,c_0_71]) ).

cnf(c_0_77,hypothesis,
    store(a_422,i3,X1) = store(a_424,i3,X1),
    inference(spm,[status(thm)],[c_0_72,c_0_71]) ).

cnf(c_0_78,hypothesis,
    store(a_432,i0,X1) = store(a_431,i0,X1),
    inference(spm,[status(thm)],[c_0_72,c_0_50]) ).

cnf(c_0_79,hypothesis,
    store(a_432,i3,X1) = store(a_434,i3,X1),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_80,hypothesis,
    store(a_431,i3,X1) = store(a1,i3,X1),
    inference(spm,[status(thm)],[c_0_72,c_0_44]) ).

cnf(c_0_81,hypothesis,
    ( e_433 = e_423
    | e_433 = e_425 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_74]),c_0_58]),c_0_75]) ).

cnf(c_0_82,hypothesis,
    ( e_433 = e_423
    | e_425 = e_423 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_74]),c_0_36]) ).

cnf(c_0_83,hypothesis,
    store(a_424,i3,e_423) = a_424,
    inference(spm,[status(thm)],[c_0_31,c_0_76]) ).

cnf(c_0_84,hypothesis,
    store(a_424,i3,X1) = store(a_420,i3,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_49]),c_0_77]) ).

cnf(c_0_85,hypothesis,
    store(a_420,i0,X1) = store(a1,i0,X1),
    inference(spm,[status(thm)],[c_0_72,c_0_48]) ).

cnf(c_0_86,hypothesis,
    a_436 = store(a_434,i2,e_435),
    hyp11 ).

cnf(c_0_87,hypothesis,
    e_437 = select(a_436,i2),
    hyp23 ).

cnf(c_0_88,hypothesis,
    ( store(a_434,i3,X1) = store(a1,i3,X1)
    | a_432 = a_422 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_52]),c_0_79]),c_0_80]) ).

cnf(c_0_89,hypothesis,
    select(a_434,i3) = e_433,
    inference(spm,[status(thm)],[c_0_34,c_0_73]) ).

cnf(c_0_90,hypothesis,
    e_433 = e_423,
    inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_81]),c_0_82]) ).

cnf(c_0_91,hypothesis,
    store(a_420,i3,e_423) = a_424,
    inference(rw,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_92,hypothesis,
    ( store(a_420,i3,X1) = store(a1,i3,X1)
    | a_432 = a_422 ),
    inference(spm,[status(thm)],[c_0_85,c_0_52]) ).

cnf(c_0_93,hypothesis,
    a_438 = store(a_436,i0,e_437),
    hyp12 ).

cnf(c_0_94,hypothesis,
    e_437 = e_435,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_86]),c_0_87]) ).

cnf(c_0_95,hypothesis,
    store(a1,i3,e_419) = a1,
    inference(spm,[status(thm)],[c_0_31,c_0_66]) ).

cnf(c_0_96,hypothesis,
    ( store(a1,i3,e_423) = a_434
    | a_432 = a_422 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_88]),c_0_89]),c_0_90]) ).

cnf(c_0_97,hypothesis,
    ( store(a1,i3,e_423) = a_424
    | a_432 = a_422 ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_98,hypothesis,
    a_426 = store(a_424,i2,e_425),
    hyp5 ).

cnf(c_0_99,hypothesis,
    e_429 = select(a_426,i2),
    hyp20 ).

cnf(c_0_100,hypothesis,
    store(a_436,i0,e_435) = a_438,
    inference(rw,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_101,hypothesis,
    ( a_432 = a_422
    | a_432 = a1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_52]),c_0_80]),c_0_95]) ).

cnf(c_0_102,hypothesis,
    ( a_432 = a_422
    | a_434 = a_424 ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_103,hypothesis,
    e_429 = e_425,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_98]),c_0_99]) ).

cnf(c_0_104,hypothesis,
    e_439 = select(a_436,i0),
    hyp24 ).

cnf(c_0_105,hypothesis,
    ( select(a_436,X1) = select(a_434,X1)
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_56,c_0_86]) ).

cnf(c_0_106,hypothesis,
    ( select(a_432,X1) = select(a_434,X1)
    | i3 = X1 ),
    inference(spm,[status(thm)],[c_0_56,c_0_73]) ).

cnf(c_0_107,hypothesis,
    store(a_436,i0,e_425) = a_438,
    inference(rw,[status(thm)],[c_0_100,c_0_75]) ).

cnf(c_0_108,hypothesis,
    ( store(a_434,i3,X1) = store(a_420,i3,X1)
    | a_432 = a1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_101]),c_0_77]),c_0_84]) ).

cnf(c_0_109,hypothesis,
    ( store(a_434,i3,X1) = store(a_420,i3,X1)
    | a_434 = a_424 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_102]),c_0_77]),c_0_84]) ).

cnf(c_0_110,hypothesis,
    select(a_426,i2) = e_425,
    inference(rw,[status(thm)],[c_0_99,c_0_103]) ).

cnf(c_0_111,hypothesis,
    a_428 = store(a_426,i2,e_427),
    hyp6 ).

cnf(c_0_112,hypothesis,
    ( select(a_434,i0) = e_439
    | i2 = i0 ),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_113,hypothesis,
    ( select(a_434,i0) = e_419
    | i0 = i3 ),
    inference(spm,[status(thm)],[c_0_64,c_0_106]) ).

cnf(c_0_114,hypothesis,
    store(a_436,i0,e_439) = a_436,
    inference(spm,[status(thm)],[c_0_31,c_0_104]) ).

cnf(c_0_115,hypothesis,
    store(a_436,i0,X1) = store(a_438,i0,X1),
    inference(spm,[status(thm)],[c_0_72,c_0_107]) ).

cnf(c_0_116,hypothesis,
    ( a_432 = a1
    | a_434 = a_424 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_108]),c_0_89]),c_0_90]),c_0_91]) ).

cnf(c_0_117,hypothesis,
    e_427 = select(a_426,i0),
    hyp19 ).

cnf(c_0_118,hypothesis,
    ( select(a_426,X1) = select(a_424,X1)
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_56,c_0_98]) ).

cnf(c_0_119,hypothesis,
    store(a_434,i2,e_425) = a_436,
    inference(rw,[status(thm)],[c_0_86,c_0_75]) ).

cnf(c_0_120,hypothesis,
    a_434 = a_424,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_109]),c_0_89]),c_0_90]),c_0_91])]) ).

cnf(c_0_121,hypothesis,
    store(a_426,i2,e_425) = a_426,
    inference(spm,[status(thm)],[c_0_31,c_0_110]) ).

cnf(c_0_122,hypothesis,
    store(a_426,i2,X1) = store(a_428,i2,X1),
    inference(spm,[status(thm)],[c_0_72,c_0_111]) ).

cnf(c_0_123,hypothesis,
    a_430 = store(a_428,i0,e_429),
    hyp7 ).

cnf(c_0_124,hypothesis,
    a_440 = store(a_438,i2,e_439),
    hyp13 ).

cnf(c_0_125,hypothesis,
    ( i0 = i3
    | i2 = i0
    | e_419 = e_439 ),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_126,hypothesis,
    store(a_438,i0,e_439) = a_436,
    inference(rw,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_127,hypothesis,
    ( a_434 = a_424
    | e_419 = e_425 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_116]),c_0_46]) ).

cnf(c_0_128,hypothesis,
    ( select(a_424,i0) = e_427
    | i2 = i0 ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_129,hypothesis,
    ( select(a_424,X1) = select(a_420,X1)
    | i3 = X1 ),
    inference(spm,[status(thm)],[c_0_56,c_0_91]) ).

cnf(c_0_130,hypothesis,
    select(a_420,i0) = e_419,
    inference(spm,[status(thm)],[c_0_34,c_0_48]) ).

cnf(c_0_131,hypothesis,
    a_436 = a_426,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_120]),c_0_98]) ).

cnf(c_0_132,hypothesis,
    select(a_428,i2) = e_427,
    inference(spm,[status(thm)],[c_0_34,c_0_111]) ).

cnf(c_0_133,hypothesis,
    store(a_432,i3,e_435) = a_432,
    inference(spm,[status(thm)],[c_0_31,c_0_58]) ).

cnf(c_0_134,hypothesis,
    store(a_428,i2,e_425) = a_426,
    inference(rw,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_135,hypothesis,
    store(a_428,i0,e_425) = a_430,
    inference(rw,[status(thm)],[c_0_123,c_0_103]) ).

cnf(c_0_136,hypothesis,
    ( e_419 = e_439
    | i0 = i3
    | a_436 = a_440 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]) ).

cnf(c_0_137,hypothesis,
    ( a_434 = a_424
    | a_431 = a1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_127]),c_0_44]) ).

cnf(c_0_138,hypothesis,
    ( i0 = i3
    | i2 = i0
    | e_419 = e_427 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]) ).

cnf(c_0_139,hypothesis,
    ( store(store(a_438,X1,X2),i2,e_439) = store(a_440,X1,X2)
    | X1 = i2 ),
    inference(spm,[status(thm)],[c_0_43,c_0_124]) ).

cnf(c_0_140,plain,
    ( store(store(store(X1,X2,X3),X4,X5),X2,X6) = store(store(X1,X2,X6),X4,X5)
    | X4 = X2 ),
    inference(spm,[status(thm)],[c_0_43,c_0_72]) ).

cnf(c_0_141,hypothesis,
    e_439 = e_427,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_131]),c_0_117]) ).

cnf(c_0_142,hypothesis,
    store(a_428,i2,e_427) = a_428,
    inference(spm,[status(thm)],[c_0_31,c_0_132]) ).

cnf(c_0_143,hypothesis,
    store(a_428,i2,X1) = store(a_424,i2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_98]),c_0_122]) ).

cnf(c_0_144,hypothesis,
    store(a_434,i3,e_435) = a_432,
    inference(rw,[status(thm)],[c_0_133,c_0_79]) ).

cnf(c_0_145,hypothesis,
    ( e_419 = e_439
    | i0 = i3
    | a_426 = a_430 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_125]),c_0_135]) ).

cnf(c_0_146,hypothesis,
    ( a_436 = a_440
    | e_419 = e_439
    | a_431 = a1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_136]),c_0_44]) ).

cnf(c_0_147,hypothesis,
    ( a_431 = a1
    | a_436 = a_426 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_137]),c_0_98]) ).

cnf(c_0_148,hypothesis,
    ( e_419 = e_427
    | i0 = i3
    | a_436 = a_440 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_138]),c_0_126]) ).

cnf(c_0_149,hypothesis,
    ( select(a_440,X1) = select(a_438,X1)
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_56,c_0_124]) ).

cnf(c_0_150,hypothesis,
    ( store(store(store(a_438,X1,X2),i2,e_439),X1,X3) = store(a_440,X1,X3)
    | X1 = i2 ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_151,hypothesis,
    store(a_438,i0,e_427) = a_426,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_131]),c_0_141]) ).

cnf(c_0_152,hypothesis,
    store(a_424,i2,e_427) = a_428,
    inference(rw,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_153,hypothesis,
    store(a_434,i3,e_425) = a_432,
    inference(rw,[status(thm)],[c_0_144,c_0_75]) ).

cnf(c_0_154,hypothesis,
    ( a_434 = a_424
    | a_420 = a1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_127]),c_0_51]) ).

cnf(c_0_155,hypothesis,
    ( a_426 = a_430
    | e_419 = e_439
    | a_431 = a1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_145]),c_0_44]) ).

cnf(c_0_156,hypothesis,
    ( a_431 = a1
    | e_419 = e_439
    | a_426 = a_440 ),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_157,negated_conjecture,
    a_430 != a_440,
    goal ).

cnf(c_0_158,hypothesis,
    ( a_436 = a_440
    | e_419 = e_427
    | e_419 = e_425 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_148]),c_0_58]),c_0_75]) ).

cnf(c_0_159,hypothesis,
    ( a_426 = a_430
    | e_419 = e_439
    | e_419 = e_425 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_145]),c_0_58]),c_0_75]) ).

cnf(c_0_160,hypothesis,
    ( store(a_440,X1,select(a_438,X1)) = a_440
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_31,c_0_149]) ).

cnf(c_0_161,hypothesis,
    ( store(a_440,i0,X1) = store(a_428,i0,X1)
    | i2 = i0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_141]),c_0_122]),c_0_143]),c_0_152]) ).

cnf(c_0_162,hypothesis,
    select(a_438,i0) = e_435,
    inference(spm,[status(thm)],[c_0_34,c_0_100]) ).

cnf(c_0_163,hypothesis,
    a_432 = a_422,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_120]),c_0_84]),c_0_49]) ).

cnf(c_0_164,hypothesis,
    ( a_436 = a_440
    | e_419 = e_427
    | a_420 = a1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_148]),c_0_95]) ).

cnf(c_0_165,hypothesis,
    ( a_420 = a1
    | a_436 = a_426 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_154]),c_0_98]) ).

cnf(c_0_166,hypothesis,
    ( a_431 = a1
    | e_419 = e_439 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]) ).

cnf(c_0_167,hypothesis,
    ( e_419 = e_425
    | e_419 = e_427
    | a_426 = a_440 ),
    inference(spm,[status(thm)],[c_0_158,c_0_131]) ).

cnf(c_0_168,hypothesis,
    ( e_419 = e_425
    | e_419 = e_427
    | a_426 = a_430 ),
    inference(rw,[status(thm)],[c_0_159,c_0_141]) ).

cnf(c_0_169,hypothesis,
    i2 = i0,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_162]),c_0_75]),c_0_135]),c_0_157]) ).

cnf(c_0_170,hypothesis,
    select(a_422,i0) = e_419,
    inference(rw,[status(thm)],[c_0_64,c_0_163]) ).

cnf(c_0_171,hypothesis,
    ( a_426 = a_430
    | e_419 = e_439
    | a_420 = a1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_145]),c_0_95]) ).

cnf(c_0_172,hypothesis,
    ( a_420 = a1
    | e_419 = e_427
    | a_426 = a_440 ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_173,hypothesis,
    ( store(a1,i3,e_439) = a1
    | a_431 = a1 ),
    inference(spm,[status(thm)],[c_0_95,c_0_166]) ).

cnf(c_0_174,hypothesis,
    ( e_419 = e_427
    | e_419 = e_425 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_157]) ).

cnf(c_0_175,hypothesis,
    e_427 = e_425,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_169]),c_0_117]) ).

cnf(c_0_176,hypothesis,
    e_419 = e_423,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_169]),c_0_170]) ).

cnf(c_0_177,hypothesis,
    ( e_419 = e_427
    | a_420 = a1
    | e_419 = e_439 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_157]) ).

cnf(c_0_178,hypothesis,
    ( a_420 = a1
    | e_439 = e_427 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_165]),c_0_117]) ).

cnf(c_0_179,hypothesis,
    ( store(a1,i3,e_427) = a1
    | a_431 = a1 ),
    inference(rw,[status(thm)],[c_0_173,c_0_141]) ).

cnf(c_0_180,hypothesis,
    e_425 = e_423,
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_175])]),c_0_176]) ).

cnf(c_0_181,hypothesis,
    ( a_420 = a1
    | e_419 = e_427 ),
    inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_177]),c_0_178]) ).

cnf(c_0_182,hypothesis,
    store(a_438,i2,e_427) = a_440,
    inference(rw,[status(thm)],[c_0_124,c_0_141]) ).

cnf(c_0_183,hypothesis,
    store(a_422,i2,e_423) = a_422,
    inference(spm,[status(thm)],[c_0_31,c_0_55]) ).

cnf(c_0_184,hypothesis,
    store(a_422,i0,X1) = store(a_431,i0,X1),
    inference(rw,[status(thm)],[c_0_78,c_0_163]) ).

cnf(c_0_185,hypothesis,
    a_431 = a1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_175]),c_0_44])]) ).

cnf(c_0_186,hypothesis,
    a_422 = a_424,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_180]),c_0_91]) ).

cnf(c_0_187,hypothesis,
    ( store(a1,i0,e_427) = a_420
    | a_420 = a1 ),
    inference(spm,[status(thm)],[c_0_48,c_0_181]) ).

cnf(c_0_188,hypothesis,
    store(a_424,i0,e_423) = a_428,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_169]),c_0_175]),c_0_180]) ).

cnf(c_0_189,hypothesis,
    a_426 = a_440,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_169]),c_0_151]) ).

cnf(c_0_190,hypothesis,
    store(a1,i0,e_423) = a_424,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_169]),c_0_184]),c_0_185]),c_0_186]) ).

cnf(c_0_191,hypothesis,
    a_420 = a1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_175]),c_0_51])]) ).

cnf(c_0_192,hypothesis,
    a_440 = a_428,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_169]),c_0_180]),c_0_188]),c_0_189]) ).

cnf(c_0_193,hypothesis,
    a_424 = a1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_176]),c_0_190]),c_0_191]) ).

cnf(c_0_194,negated_conjecture,
    a_430 != a_428,
    inference(rw,[status(thm)],[c_0_157,c_0_192]) ).

cnf(c_0_195,hypothesis,
    a_428 = a1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_193]),c_0_190]),c_0_193]) ).

cnf(c_0_196,hypothesis,
    store(a_428,i0,e_423) = a_430,
    inference(rw,[status(thm)],[c_0_135,c_0_180]) ).

cnf(c_0_197,negated_conjecture,
    a_430 != a1,
    inference(rw,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_198,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_195]),c_0_190]),c_0_193]),c_0_197]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWV540-1.004 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n027.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 04:15:23 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.59  start to proof: theBenchmark
% 5.69/5.95  % Version  : CSE_E---1.5
% 5.69/5.95  % Problem  : theBenchmark.p
% 5.69/5.95  % Proof found
% 5.69/5.95  % SZS status Theorem for theBenchmark.p
% 5.69/5.95  % SZS output start Proof
% See solution above
% 5.91/5.96  % Total time : 5.355000 s
% 5.91/5.96  % SZS output end Proof
% 5.91/5.96  % Total time : 5.358000 s
%------------------------------------------------------------------------------