TSTP Solution File: SWV537-1.004 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWV537-1.004 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 May 21 05:39:15 EDT 2024

% Result   : Unsatisfiable 0.15s 0.42s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   48
%            Number of leaves      :   27
% Syntax   : Number of clauses     :  176 (  81 unt;  78 nHn; 154 RR)
%            Number of literals    :  317 ( 316 equ;  35 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   31 (  31 usr;  29 con; 0-3 aty)
%            Number of variables   :   32 (   4 sgn)

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

cnf(hyp11,hypothesis,
    a_485 = store(a_483,i2,e_484),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).

cnf(hyp23,hypothesis,
    e_486 = select(a_485,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).

cnf(hyp5,hypothesis,
    a_475 = store(a_473,i2,e_474),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).

cnf(hyp20,hypothesis,
    e_478 = select(a_475,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).

cnf(hyp3,hypothesis,
    a_471 = store(a_469,i3,e_470),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).

cnf(hyp18,hypothesis,
    e_474 = select(a_471,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).

cnf(hyp12,hypothesis,
    a_487 = store(a_485,i0,e_486),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).

cnf(hyp7,hypothesis,
    a_479 = store(a_477,i0,e_478),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).

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

cnf(hyp13,hypothesis,
    a_489 = store(a_487,i2,e_488),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).

cnf(hyp6,hypothesis,
    a_477 = store(a_475,i2,e_476),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).

cnf(hyp10,hypothesis,
    a_483 = store(a_481,i3,e_482),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).

cnf(hyp4,hypothesis,
    a_473 = store(a_471,i3,e_472),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).

cnf(hyp9,hypothesis,
    a_481 = store(a_480,i0,e_468),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).

cnf(hyp8,hypothesis,
    a_480 = store(a_467,i3,e_470),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).

cnf(hyp26,hypothesis,
    e_492 = select(a_489,i_490),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp26) ).

cnf(hyp2,hypothesis,
    a_469 = store(a_467,i0,e_468),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).

cnf(hyp25,hypothesis,
    e_491 = select(a_479,i_490),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp25) ).

cnf(goal,negated_conjecture,
    e_491 != e_492,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(hyp22,hypothesis,
    e_484 = select(a_481,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).

cnf(hyp21,hypothesis,
    e_482 = select(a_481,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).

cnf(hyp17,hypothesis,
    e_472 = select(a_471,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).

cnf(hyp19,hypothesis,
    e_476 = select(a_475,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).

cnf(hyp24,hypothesis,
    e_488 = select(a_485,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).

cnf(hyp16,hypothesis,
    e_470 = select(a_467,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).

cnf(hyp15,hypothesis,
    e_468 = select(a_467,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).

cnf(c_0_27,axiom,
    select(store(X1,X2,X3),X2) = X3,
    a1 ).

cnf(c_0_28,hypothesis,
    a_485 = store(a_483,i2,e_484),
    hyp11 ).

cnf(c_0_29,hypothesis,
    e_486 = select(a_485,i2),
    hyp23 ).

cnf(c_0_30,hypothesis,
    a_475 = store(a_473,i2,e_474),
    hyp5 ).

cnf(c_0_31,hypothesis,
    e_478 = select(a_475,i2),
    hyp20 ).

cnf(c_0_32,hypothesis,
    a_471 = store(a_469,i3,e_470),
    hyp3 ).

cnf(c_0_33,hypothesis,
    e_474 = select(a_471,i3),
    hyp18 ).

cnf(c_0_34,hypothesis,
    a_487 = store(a_485,i0,e_486),
    hyp12 ).

cnf(c_0_35,hypothesis,
    e_486 = e_484,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).

cnf(c_0_36,hypothesis,
    a_479 = store(a_477,i0,e_478),
    hyp7 ).

cnf(c_0_37,hypothesis,
    e_478 = e_474,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_30]),c_0_31]) ).

cnf(c_0_38,hypothesis,
    e_474 = e_470,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_32]),c_0_33]) ).

cnf(c_0_39,axiom,
    ( X1 = X2
    | select(store(X3,X1,X4),X2) = select(X3,X2) ),
    a2 ).

cnf(c_0_40,hypothesis,
    a_489 = store(a_487,i2,e_488),
    hyp13 ).

cnf(c_0_41,hypothesis,
    store(a_485,i0,e_484) = a_487,
    inference(rw,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_42,hypothesis,
    a_477 = store(a_475,i2,e_476),
    hyp6 ).

cnf(c_0_43,hypothesis,
    store(a_477,i0,e_470) = a_479,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).

cnf(c_0_44,hypothesis,
    a_483 = store(a_481,i3,e_482),
    hyp10 ).

cnf(c_0_45,hypothesis,
    ( select(a_487,X1) = select(a_489,X1)
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_46,hypothesis,
    ( select(a_487,X1) = select(a_485,X1)
    | i0 = X1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_41]) ).

cnf(c_0_47,hypothesis,
    a_473 = store(a_471,i3,e_472),
    hyp4 ).

cnf(c_0_48,hypothesis,
    store(a_473,i2,e_470) = a_475,
    inference(rw,[status(thm)],[c_0_30,c_0_38]) ).

cnf(c_0_49,hypothesis,
    ( select(a_477,X1) = select(a_475,X1)
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_42]) ).

cnf(c_0_50,hypothesis,
    ( select(a_477,X1) = select(a_479,X1)
    | i0 = X1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_43]) ).

cnf(c_0_51,hypothesis,
    a_481 = store(a_480,i0,e_468),
    hyp9 ).

cnf(c_0_52,hypothesis,
    a_480 = store(a_467,i3,e_470),
    hyp8 ).

cnf(c_0_53,hypothesis,
    ( select(a_483,X1) = select(a_485,X1)
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_28]) ).

cnf(c_0_54,hypothesis,
    ( select(a_483,X1) = select(a_481,X1)
    | i3 = X1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_44]) ).

cnf(c_0_55,hypothesis,
    e_492 = select(a_489,i_490),
    hyp26 ).

cnf(c_0_56,hypothesis,
    ( select(a_489,X1) = select(a_485,X1)
    | i0 = X1
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_57,hypothesis,
    a_469 = store(a_467,i0,e_468),
    hyp2 ).

cnf(c_0_58,hypothesis,
    ( select(a_473,X1) = select(a_471,X1)
    | i3 = X1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_47]) ).

cnf(c_0_59,hypothesis,
    ( select(a_473,X1) = select(a_475,X1)
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_48]) ).

cnf(c_0_60,hypothesis,
    e_491 = select(a_479,i_490),
    hyp25 ).

cnf(c_0_61,hypothesis,
    ( select(a_479,X1) = select(a_475,X1)
    | i0 = X1
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_62,hypothesis,
    ( select(a_480,X1) = select(a_481,X1)
    | i0 = X1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_51]) ).

cnf(c_0_63,hypothesis,
    ( select(a_480,X1) = select(a_467,X1)
    | i3 = X1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_52]) ).

cnf(c_0_64,hypothesis,
    ( select(a_485,X1) = select(a_481,X1)
    | i3 = X1
    | i2 = X1 ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_65,hypothesis,
    ( select(a_485,i_490) = e_492
    | i_490 = i2
    | i_490 = i0 ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_66,hypothesis,
    ( select(a_469,X1) = select(a_471,X1)
    | i3 = X1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_32]) ).

cnf(c_0_67,hypothesis,
    ( select(a_469,X1) = select(a_467,X1)
    | i0 = X1 ),
    inference(spm,[status(thm)],[c_0_39,c_0_57]) ).

cnf(c_0_68,hypothesis,
    ( select(a_475,X1) = select(a_471,X1)
    | i2 = X1
    | i3 = X1 ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_69,hypothesis,
    ( select(a_475,i_490) = e_491
    | i_490 = i2
    | i_490 = i0 ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_70,hypothesis,
    ( select(a_481,X1) = select(a_467,X1)
    | i3 = X1
    | i0 = X1 ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_71,hypothesis,
    ( select(a_481,i_490) = e_492
    | i_490 = i0
    | i_490 = i2
    | i_490 = i3 ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_72,hypothesis,
    ( select(a_471,X1) = select(a_467,X1)
    | i0 = X1
    | i3 = X1 ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_73,hypothesis,
    ( select(a_471,i_490) = e_491
    | i_490 = i0
    | i_490 = i3
    | i_490 = i2 ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_74,negated_conjecture,
    e_491 != e_492,
    inference(fof_simplification,[status(thm)],[goal]) ).

cnf(c_0_75,hypothesis,
    ( select(a_467,i_490) = e_492
    | i_490 = i2
    | i_490 = i0
    | i_490 = i3 ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_76,hypothesis,
    ( select(a_467,i_490) = e_491
    | i_490 = i2
    | i_490 = i3
    | i_490 = i0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_77,negated_conjecture,
    e_491 != e_492,
    c_0_74 ).

cnf(c_0_78,hypothesis,
    select(a_487,i0) = e_484,
    inference(spm,[status(thm)],[c_0_27,c_0_41]) ).

cnf(c_0_79,hypothesis,
    ( i_490 = i3
    | i_490 = i0
    | i_490 = i2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).

cnf(c_0_80,hypothesis,
    ( select(a_489,i0) = e_484
    | i0 = i2 ),
    inference(spm,[status(thm)],[c_0_78,c_0_45]) ).

cnf(c_0_81,hypothesis,
    ( select(a_489,i0) = e_492
    | i_490 = i2
    | i_490 = i3 ),
    inference(spm,[status(thm)],[c_0_55,c_0_79]) ).

cnf(c_0_82,hypothesis,
    ( i_490 = i2
    | i_490 = i3
    | i0 != i2 ),
    inference(ef,[status(thm)],[c_0_79]) ).

cnf(c_0_83,hypothesis,
    ( i_490 = i3
    | i_490 = i2
    | e_492 = e_484 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).

cnf(c_0_84,hypothesis,
    select(a_479,i0) = e_470,
    inference(spm,[status(thm)],[c_0_27,c_0_43]) ).

cnf(c_0_85,negated_conjecture,
    ( i_490 = i2
    | i_490 = i3
    | e_491 != e_484 ),
    inference(spm,[status(thm)],[c_0_77,c_0_83]) ).

cnf(c_0_86,hypothesis,
    ( i_490 = i2
    | i_490 = i3
    | e_491 = e_470 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_79]),c_0_84]) ).

cnf(c_0_87,hypothesis,
    select(a_480,i3) = e_470,
    inference(spm,[status(thm)],[c_0_27,c_0_52]) ).

cnf(c_0_88,hypothesis,
    e_484 = select(a_481,i3),
    hyp22 ).

cnf(c_0_89,hypothesis,
    ( i_490 = i3
    | i_490 = i2
    | e_484 != e_470 ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_90,hypothesis,
    ( i0 = i3
    | e_484 = e_470 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_62]),c_0_88]) ).

cnf(c_0_91,hypothesis,
    ( i_490 = i2
    | i_490 = i3
    | i0 != i3 ),
    inference(ef,[status(thm)],[c_0_79]) ).

cnf(c_0_92,hypothesis,
    ( i_490 = i2
    | i_490 = i3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).

cnf(c_0_93,hypothesis,
    select(a_483,i3) = e_482,
    inference(spm,[status(thm)],[c_0_27,c_0_44]) ).

cnf(c_0_94,hypothesis,
    ( i_490 = i2
    | i3 != i2 ),
    inference(ef,[status(thm)],[c_0_92]) ).

cnf(c_0_95,hypothesis,
    ( select(a_485,i3) = e_482
    | i3 = i2 ),
    inference(spm,[status(thm)],[c_0_93,c_0_53]) ).

cnf(c_0_96,hypothesis,
    ( select(a_485,i3) = e_492
    | i_490 = i2
    | i0 = i3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_92]),c_0_94]) ).

cnf(c_0_97,hypothesis,
    select(a_473,i3) = e_472,
    inference(spm,[status(thm)],[c_0_27,c_0_47]) ).

cnf(c_0_98,hypothesis,
    ( i0 = i3
    | i_490 = i2
    | e_492 = e_482 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_94]) ).

cnf(c_0_99,hypothesis,
    ( select(a_475,i3) = e_472
    | i3 = i2 ),
    inference(spm,[status(thm)],[c_0_97,c_0_59]) ).

cnf(c_0_100,hypothesis,
    ( select(a_475,i3) = e_491
    | i_490 = i2
    | i0 = i3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_92]),c_0_94]) ).

cnf(c_0_101,hypothesis,
    e_482 = select(a_481,i2),
    hyp21 ).

cnf(c_0_102,hypothesis,
    e_472 = select(a_471,i2),
    hyp17 ).

cnf(c_0_103,negated_conjecture,
    ( i_490 = i2
    | i0 = i3
    | e_491 != e_482 ),
    inference(spm,[status(thm)],[c_0_77,c_0_98]) ).

cnf(c_0_104,hypothesis,
    ( i0 = i3
    | i_490 = i2
    | e_491 = e_472 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_94]) ).

cnf(c_0_105,hypothesis,
    ( select(a_467,i2) = e_482
    | i0 = i2
    | i3 = i2 ),
    inference(spm,[status(thm)],[c_0_101,c_0_70]) ).

cnf(c_0_106,hypothesis,
    ( select(a_467,i2) = e_472
    | i3 = i2
    | i0 = i2 ),
    inference(spm,[status(thm)],[c_0_102,c_0_72]) ).

cnf(c_0_107,negated_conjecture,
    ( i0 = i3
    | i_490 = i2
    | e_482 != e_472 ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_108,hypothesis,
    ( i3 = i2
    | i0 = i2
    | e_482 = e_472 ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_109,hypothesis,
    ( i0 = i2
    | i_490 = i2
    | i0 = i3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_94]) ).

cnf(c_0_110,hypothesis,
    select(a_489,i2) = e_488,
    inference(spm,[status(thm)],[c_0_27,c_0_40]) ).

cnf(c_0_111,hypothesis,
    select(a_477,i2) = e_476,
    inference(spm,[status(thm)],[c_0_27,c_0_42]) ).

cnf(c_0_112,hypothesis,
    ( i0 = i3
    | i0 = i2
    | e_492 = e_488 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_109]),c_0_110]) ).

cnf(c_0_113,hypothesis,
    ( select(a_479,i2) = e_476
    | i0 = i2 ),
    inference(spm,[status(thm)],[c_0_111,c_0_50]) ).

cnf(c_0_114,hypothesis,
    ( select(a_479,i2) = e_491
    | i0 = i3
    | i0 = i2 ),
    inference(spm,[status(thm)],[c_0_60,c_0_109]) ).

cnf(c_0_115,hypothesis,
    select(a_469,i0) = e_468,
    inference(spm,[status(thm)],[c_0_27,c_0_57]) ).

cnf(c_0_116,hypothesis,
    e_476 = select(a_475,i0),
    hyp19 ).

cnf(c_0_117,negated_conjecture,
    ( i0 = i2
    | i0 = i3
    | e_491 != e_488 ),
    inference(spm,[status(thm)],[c_0_77,c_0_112]) ).

cnf(c_0_118,hypothesis,
    ( i0 = i3
    | i0 = i2
    | e_491 = e_476 ),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_119,hypothesis,
    e_488 = select(a_485,i0),
    hyp24 ).

cnf(c_0_120,hypothesis,
    select(a_481,i0) = e_468,
    inference(spm,[status(thm)],[c_0_27,c_0_51]) ).

cnf(c_0_121,hypothesis,
    ( select(a_471,i0) = e_468
    | i0 = i3 ),
    inference(spm,[status(thm)],[c_0_115,c_0_66]) ).

cnf(c_0_122,hypothesis,
    ( select(a_471,i0) = e_476
    | i0 = i3
    | i0 = i2 ),
    inference(spm,[status(thm)],[c_0_116,c_0_68]) ).

cnf(c_0_123,negated_conjecture,
    ( i0 = i3
    | i0 = i2
    | e_488 != e_476 ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_124,hypothesis,
    ( i0 = i2
    | i0 = i3
    | e_488 = e_468 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_64]),c_0_120]) ).

cnf(c_0_125,hypothesis,
    ( i0 = i2
    | i0 = i3
    | e_476 = e_468 ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_126,hypothesis,
    ( i0 = i2
    | i0 = i3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]) ).

cnf(c_0_127,hypothesis,
    ( i0 = i2
    | i3 != i2 ),
    inference(ef,[status(thm)],[c_0_126]) ).

cnf(c_0_128,hypothesis,
    ( e_492 = e_488
    | i3 != i2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_94]),c_0_110]) ).

cnf(c_0_129,hypothesis,
    ( select(a_479,i2) = e_491
    | i3 != i2 ),
    inference(spm,[status(thm)],[c_0_60,c_0_94]) ).

cnf(c_0_130,hypothesis,
    ( select(a_479,i2) = e_470
    | i3 != i2 ),
    inference(spm,[status(thm)],[c_0_84,c_0_127]) ).

cnf(c_0_131,negated_conjecture,
    ( e_491 != e_488
    | i3 != i2 ),
    inference(spm,[status(thm)],[c_0_77,c_0_128]) ).

cnf(c_0_132,hypothesis,
    ( e_491 = e_470
    | i3 != i2 ),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_133,negated_conjecture,
    ( e_488 != e_470
    | i3 != i2 ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_134,hypothesis,
    ( e_488 = e_484
    | i3 != i2 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_127]),c_0_29]),c_0_35]) ).

cnf(c_0_135,hypothesis,
    ( e_484 != e_470
    | i3 != i2 ),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_136,hypothesis,
    ( i0 = i3
    | i3 != i2 ),
    inference(spm,[status(thm)],[c_0_135,c_0_90]) ).

cnf(c_0_137,hypothesis,
    e_470 = select(a_467,i0),
    hyp16 ).

cnf(c_0_138,hypothesis,
    e_468 = select(a_467,i3),
    hyp15 ).

cnf(c_0_139,hypothesis,
    ( e_484 = e_468
    | i3 != i2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_136]),c_0_88]) ).

cnf(c_0_140,hypothesis,
    ( e_470 = e_468
    | i3 != i2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_136]),c_0_138]) ).

cnf(c_0_141,hypothesis,
    ( select(a_487,i3) = e_484
    | i0 = i2 ),
    inference(spm,[status(thm)],[c_0_78,c_0_126]) ).

cnf(c_0_142,hypothesis,
    i3 != i2,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_139]),c_0_140]) ).

cnf(c_0_143,hypothesis,
    ( select(a_489,i3) = e_492
    | i_490 = i2 ),
    inference(spm,[status(thm)],[c_0_55,c_0_92]) ).

cnf(c_0_144,hypothesis,
    ( select(a_489,i3) = e_484
    | i0 = i2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_141]),c_0_142]) ).

cnf(c_0_145,hypothesis,
    ( i0 = i2
    | i_490 = i2
    | e_492 = e_484 ),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_146,hypothesis,
    ( select(a_479,i3) = e_491
    | i_490 = i2 ),
    inference(spm,[status(thm)],[c_0_60,c_0_92]) ).

cnf(c_0_147,hypothesis,
    ( select(a_479,i3) = e_470
    | i0 = i2 ),
    inference(spm,[status(thm)],[c_0_84,c_0_126]) ).

cnf(c_0_148,negated_conjecture,
    ( i_490 = i2
    | i0 = i2
    | e_491 != e_484 ),
    inference(spm,[status(thm)],[c_0_77,c_0_145]) ).

cnf(c_0_149,hypothesis,
    ( i0 = i2
    | i_490 = i2
    | e_491 = e_470 ),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_150,hypothesis,
    ( i0 = i2
    | i_490 = i2
    | e_484 != e_470 ),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_151,hypothesis,
    ( i0 = i2
    | e_484 = e_468 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_126]),c_0_88]) ).

cnf(c_0_152,hypothesis,
    ( i0 = i2
    | e_470 = e_468 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_126]),c_0_138]) ).

cnf(c_0_153,hypothesis,
    ( i_490 = i2
    | i0 = i2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]) ).

cnf(c_0_154,hypothesis,
    ( i0 = i2
    | e_492 = e_488 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_153]),c_0_110]) ).

cnf(c_0_155,hypothesis,
    ( select(a_479,i2) = e_491
    | i0 = i2 ),
    inference(spm,[status(thm)],[c_0_60,c_0_153]) ).

cnf(c_0_156,negated_conjecture,
    ( i0 = i2
    | e_491 != e_488 ),
    inference(spm,[status(thm)],[c_0_77,c_0_154]) ).

cnf(c_0_157,hypothesis,
    ( i0 = i2
    | e_491 = e_476 ),
    inference(spm,[status(thm)],[c_0_113,c_0_155]) ).

cnf(c_0_158,hypothesis,
    select(a_485,i3) = e_482,
    inference(sr,[status(thm)],[c_0_95,c_0_142]) ).

cnf(c_0_159,negated_conjecture,
    ( i0 = i2
    | e_488 != e_476 ),
    inference(spm,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_160,hypothesis,
    ( i0 = i2
    | e_488 = e_482 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_126]),c_0_158]) ).

cnf(c_0_161,hypothesis,
    select(a_475,i3) = e_472,
    inference(sr,[status(thm)],[c_0_99,c_0_142]) ).

cnf(c_0_162,hypothesis,
    ( i0 = i2
    | e_482 != e_476 ),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_163,hypothesis,
    ( e_482 = e_472
    | i0 = i2 ),
    inference(sr,[status(thm)],[c_0_108,c_0_142]) ).

cnf(c_0_164,hypothesis,
    ( i0 = i2
    | e_476 = e_472 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_126]),c_0_161]) ).

cnf(c_0_165,hypothesis,
    i0 = i2,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]) ).

cnf(c_0_166,hypothesis,
    e_472 = e_468,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_165]),c_0_102]),c_0_165]),c_0_142]) ).

cnf(c_0_167,negated_conjecture,
    ( i_490 = i2
    | e_482 != e_468 ),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_165]),c_0_142]),c_0_166]) ).

cnf(c_0_168,hypothesis,
    e_482 = e_468,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_165]),c_0_101]) ).

cnf(c_0_169,hypothesis,
    e_484 = e_470,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_165]),c_0_142]) ).

cnf(c_0_170,negated_conjecture,
    i_490 = i2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_168])]) ).

cnf(c_0_171,hypothesis,
    e_488 = e_470,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_165]),c_0_29]),c_0_35]),c_0_169]) ).

cnf(c_0_172,hypothesis,
    e_492 = e_470,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_170]),c_0_110]),c_0_171]) ).

cnf(c_0_173,hypothesis,
    select(a_479,i2) = e_470,
    inference(rw,[status(thm)],[c_0_84,c_0_165]) ).

cnf(c_0_174,negated_conjecture,
    e_491 != e_470,
    inference(rw,[status(thm)],[c_0_77,c_0_172]) ).

cnf(c_0_175,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_170]),c_0_173]),c_0_174]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SWV537-1.004 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.09  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Sun May 19 06:32:23 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.15/0.40  Running first-order model finding
% 0.15/0.41  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42  # Version: 3.1.0
% 0.15/0.42  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # Starting sh5l with 300s (1) cores
% 0.15/0.42  # new_bool_3 with pid 11815 completed with status 0
% 0.15/0.42  # Result found by new_bool_3
% 0.15/0.42  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42  # Search class: FGUPF-FFSM32-SFFFFFNN
% 0.15/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.15/0.42  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 11821 completed with status 0
% 0.15/0.42  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.42  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42  # Search class: FGUPF-FFSM32-SFFFFFNN
% 0.15/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.15/0.42  # Preprocessing time       : 0.001 s
% 0.15/0.42  # Presaturation interreduction done
% 0.15/0.42  
% 0.15/0.42  # Proof found!
% 0.15/0.42  # SZS status Unsatisfiable
% 0.15/0.42  # SZS output start CNFRefutation
% See solution above
% 0.15/0.42  # Parsed axioms                        : 31
% 0.15/0.42  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.42  # Initial clauses                      : 31
% 0.15/0.42  # Removed in clause preprocessing      : 0
% 0.15/0.42  # Initial clauses in saturation        : 31
% 0.15/0.42  # Processed clauses                    : 243
% 0.15/0.42  # ...of these trivial                  : 5
% 0.15/0.42  # ...subsumed                          : 28
% 0.15/0.42  # ...remaining for further processing  : 209
% 0.15/0.42  # Other redundant clauses eliminated   : 0
% 0.15/0.42  # Clauses deleted for lack of memory   : 0
% 0.15/0.42  # Backward-subsumed                    : 44
% 0.15/0.42  # Backward-rewritten                   : 85
% 0.15/0.42  # Generated clauses                    : 226
% 0.15/0.42  # ...of the previous two non-redundant : 276
% 0.15/0.42  # ...aggressively subsumed             : 0
% 0.15/0.42  # Contextual simplify-reflections      : 11
% 0.15/0.42  # Paramodulations                      : 216
% 0.15/0.42  # Factorizations                       : 4
% 0.15/0.42  # NegExts                              : 0
% 0.15/0.42  # Equation resolutions                 : 0
% 0.15/0.42  # Disequality decompositions           : 0
% 0.15/0.42  # Total rewrite steps                  : 155
% 0.15/0.42  # ...of those cached                   : 128
% 0.15/0.42  # Propositional unsat checks           : 0
% 0.15/0.42  #    Propositional check models        : 0
% 0.15/0.42  #    Propositional check unsatisfiable : 0
% 0.15/0.42  #    Propositional clauses             : 0
% 0.15/0.42  #    Propositional clauses after purity: 0
% 0.15/0.42  #    Propositional unsat core size     : 0
% 0.15/0.42  #    Propositional preprocessing time  : 0.000
% 0.15/0.42  #    Propositional encoding time       : 0.000
% 0.15/0.42  #    Propositional solver time         : 0.000
% 0.15/0.42  #    Success case prop preproc time    : 0.000
% 0.15/0.42  #    Success case prop encoding time   : 0.000
% 0.15/0.42  #    Success case prop solver time     : 0.000
% 0.15/0.42  # Current number of processed clauses  : 43
% 0.15/0.42  #    Positive orientable unit clauses  : 27
% 0.15/0.42  #    Positive unorientable unit clauses: 0
% 0.15/0.42  #    Negative unit clauses             : 2
% 0.15/0.42  #    Non-unit-clauses                  : 14
% 0.15/0.42  # Current number of unprocessed clauses: 75
% 0.15/0.42  # ...number of literals in the above   : 147
% 0.15/0.42  # Current number of archived formulas  : 0
% 0.15/0.42  # Current number of archived clauses   : 166
% 0.15/0.42  # Clause-clause subsumption calls (NU) : 840
% 0.15/0.42  # Rec. Clause-clause subsumption calls : 199
% 0.15/0.42  # Non-unit clause-clause subsumptions  : 67
% 0.15/0.42  # Unit Clause-clause subsumption calls : 85
% 0.15/0.42  # Rewrite failures with RHS unbound    : 0
% 0.15/0.42  # BW rewrite match attempts            : 13
% 0.15/0.42  # BW rewrite match successes           : 13
% 0.15/0.42  # Condensation attempts                : 0
% 0.15/0.42  # Condensation successes               : 0
% 0.15/0.42  # Termbank termtop insertions          : 2430
% 0.15/0.42  # Search garbage collected termcells   : 2
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.009 s
% 0.15/0.42  # System time              : 0.002 s
% 0.15/0.42  # Total time               : 0.012 s
% 0.15/0.42  # Maximum resident set size: 1668 pages
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.010 s
% 0.15/0.42  # System time              : 0.004 s
% 0.15/0.42  # Total time               : 0.014 s
% 0.15/0.42  # Maximum resident set size: 1752 pages
% 0.15/0.42  % E---3.1 exiting
%------------------------------------------------------------------------------