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E-SAT---3.5.1.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : PUZ069+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:02:30 PM UTC 2026

% Result   : Satisfiable 0.99s 0.75s
% Output   : Saturation 0.99s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named ax353ERROR: Could not build tree for root c_0_119ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_119,plain,
    ssA(n1,n1) = n1,
    inference(split_conjunct,[status(thm)],[ax353]),
    [final] ).

cnf(c_0_120,plain,
    ssA(n1,n3) = n7,
    inference(split_conjunct,[status(thm)],[ax354]),
    [final] ).

cnf(c_0_121,plain,
    ssA(n1,n4) = n6,
    inference(split_conjunct,[status(thm)],[ax355]),
    [final] ).

cnf(c_0_122,plain,
    n1 != n3,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_123,plain,
    n3 != n7,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_124,plain,
    n3 != n6,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_126,plain,
    ssA(n3,n7) = n3,
    inference(split_conjunct,[status(thm)],[ax359]),
    [final] ).

cnf(c_0_141,plain,
    ssA(n6,n6) = n3,
    inference(split_conjunct,[status(thm)],[ax365]),
    [final] ).

cnf(c_0_150,plain,
    ssA(n8,n2) = n3,
    inference(split_conjunct,[status(thm)],[ax368]),
    [final] ).

cnf(c_0_159,plain,
    ssA(n4,n4) = n2,
    inference(split_conjunct,[status(thm)],[ax360]),
    [final] ).

cnf(c_0_160,plain,
    ssA(n7,n4) = n7,
    inference(split_conjunct,[status(thm)],[ax366]),
    [final] ).

cnf(c_0_162,plain,
    n2 != n3,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_166,plain,
    ssA(n1,n5) = n3,
    inference(sr,[status(thm)],[c_0_155,c_0_156]),
    [final] ).

cnf(c_0_171,plain,
    ssA(n5,n1) = n9,
    inference(split_conjunct,[status(thm)],[ax362]),
    [final] ).

cnf(c_0_172,plain,
    n3 != n9,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_201,plain,
    ssA(n9,n4) = n3,
    inference(sr,[status(thm)],[c_0_186,c_0_187]),
    [final] ).

cnf(c_0_211,plain,
    ssA(n5,n8) = n6,
    inference(split_conjunct,[status(thm)],[ax363]),
    [final] ).

cnf(c_0_212,plain,
    ssA(n7,n8) = n1,
    inference(split_conjunct,[status(thm)],[ax367]),
    [final] ).

cnf(c_0_225,plain,
    ssA(n4,n8) = n3,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_211]),c_0_212]),c_0_131]),c_0_213]),c_0_214]),c_0_124]),c_0_215]),c_0_122]),c_0_216]),c_0_217]),
    [final] ).

cnf(c_0_236,plain,
    ssA(n2,n1) = n3,
    inference(sr,[status(thm)],[c_0_230,c_0_231]),
    [final] ).

cnf(c_0_242,plain,
    ssA(n3,n2) = n2,
    inference(split_conjunct,[status(thm)],[ax358]),
    [final] ).

cnf(c_0_247,plain,
    ssA(n8,n7) = n2,
    inference(split_conjunct,[status(thm)],[ax369]),
    [final] ).

cnf(c_0_253,plain,
    ssA(n2,n7) = n5,
    inference(split_conjunct,[status(thm)],[ax357]),
    [final] ).

cnf(c_0_257,plain,
    ssA(n5,n3) = n3,
    inference(sr,[status(thm)],[c_0_239,c_0_240]),
    [final] ).

cnf(c_0_258,plain,
    n2 != n9,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_264,plain,
    n2 != n6,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_266,plain,
    ssA(n6,n5) = n5,
    inference(split_conjunct,[status(thm)],[ax364]),
    [final] ).

cnf(c_0_280,plain,
    n1 != n5,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_281,plain,
    n5 != n7,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_282,plain,
    n5 != n6,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_288,plain,
    ssA(n5,n9) = n2,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_256,c_0_171]),c_0_257]),c_0_211]),c_0_258]),c_0_259]),c_0_162]),c_0_260]),c_0_261]),c_0_262]),c_0_263]),c_0_264]),
    [final] ).

cnf(c_0_289,plain,
    n5 != n9,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_290,plain,
    n3 != n5,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_295,plain,
    n2 != n5,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_310,plain,
    ssA(n2,n6) = n8,
    inference(split_conjunct,[status(thm)],[ax356]),
    [final] ).

cnf(c_0_312,plain,
    n2 != n8,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_319,plain,
    ssA(n5,n2) = n5,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_287,c_0_171]),c_0_257]),c_0_211]),c_0_288]),c_0_289]),c_0_290]),c_0_291]),c_0_292]),c_0_293]),c_0_294]),c_0_282]),c_0_295]),
    [final] ).

cnf(c_0_323,plain,
    ssA(n4,n5) = n4,
    inference(split_conjunct,[status(thm)],[ax361]),
    [final] ).

cnf(c_0_324,plain,
    n4 != n5,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_334,plain,
    n4 != n9,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_336,plain,
    n4 != n6,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_365,plain,
    ssA(n4,n6) = n6,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_335,c_0_159]),c_0_323]),c_0_266]),c_0_141]),c_0_264]),c_0_336]),c_0_337]),c_0_338]),c_0_339]),c_0_340]),c_0_282]),c_0_124]),
    [final] ).

cnf(c_0_366,plain,
    n6 != n9,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_368,plain,
    n3 != n4,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_372,plain,
    n2 != n4,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_377,plain,
    n7 != n8,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_379,plain,
    ssA(n1,n6) = n5,
    inference(sr,[status(thm)],[c_0_348,c_0_349]),
    [final] ).

cnf(c_0_394,plain,
    ssA(n4,n9) = n5,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_360,c_0_361]),c_0_362]),c_0_363]),
    [final] ).

cnf(c_0_398,plain,
    ssA(n2,n5) = n2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_378,c_0_379]),c_0_295]),
    [final] ).

cnf(c_0_399,plain,
    n2 != n7,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_402,plain,
    n1 != n6,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_407,plain,
    ssA(n4,n7) = n9,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_395]),c_0_289]),
    [final] ).

cnf(c_0_409,plain,
    ssA(n5,n7) = n4,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_396]),c_0_324]),
    [final] ).

cnf(c_0_412,plain,
    n6 != n7,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_417,plain,
    n1 != n2,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_427,plain,
    n1 != n7,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_443,plain,
    ssA(n1,n7) = n8,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_423,c_0_424]),c_0_425]),
    [final] ).

cnf(c_0_445,plain,
    ssA(n2,n8) = n7,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_426]),c_0_427]),
    [final] ).

cnf(c_0_447,plain,
    n8 != n9,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_449,plain,
    ssA(n6,n4) = n9,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_428,c_0_159]),c_0_323]),c_0_365]),c_0_266]),c_0_141]),c_0_258]),c_0_334]),c_0_366]),c_0_429]),c_0_430]),c_0_431]),c_0_289]),c_0_172]),
    [final] ).

cnf(c_0_488,plain,
    ssA(n8,n4) = n5,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_469,c_0_470]),c_0_201]),c_0_290]),
    [final] ).

cnf(c_0_490,plain,
    n1 != n9,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_498,plain,
    n1 != n4,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_512,plain,
    n3 != n8,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_513,plain,
    n6 != n8,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_514,plain,
    n1 != n8,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_523,plain,
    ssA(n6,n7) = n1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_497,c_0_407]),c_0_490]),c_0_409]),c_0_498]),
    [final] ).

cnf(c_0_524,plain,
    n4 != n7,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_525,plain,
    n7 != n9,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_533,plain,
    ssA(n3,n8) = n4,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_505]),c_0_506]),
    [final] ).

cnf(c_0_542,plain,
    ssA(n1,n8) = n2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_515,c_0_379]),c_0_295]),
    [final] ).

cnf(c_0_543,plain,
    ssA(n9,n8) = n5,
    inference(sr,[status(thm)],[c_0_516,c_0_517]),
    [final] ).

cnf(c_0_544,plain,
    n5 != n8,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_548,plain,
    ssA(n9,n7) = n7,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_522,c_0_523]),c_0_409]),c_0_407]),c_0_427]),c_0_524]),c_0_525]),
    [final] ).

cnf(c_0_562,plain,
    n4 != n8,
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_569,plain,
    ssA(n1,n9) = n9,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_551,c_0_552]),c_0_553]),
    [final] ).

cnf(c_0_588,plain,
    ssA(n8,n8) = n9,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_563,c_0_533]),c_0_445]),c_0_334]),c_0_525]),
    [final] ).

cnf(c_0_621,plain,
    ssA(n6,n8) = n8,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_588]),c_0_447]),
    [final] ).

cnf(c_0_623,plain,
    ssA(n4,n2) = n7,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_590]),c_0_591]),
    [final] ).

cnf(c_0_625,plain,
    ssA(n1,n2) = n4,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_592,c_0_593]),c_0_594]),
    [final] ).

cnf(c_0_642,plain,
    ssA(n3,n4) = n1,
    inference(sr,[status(thm)],[c_0_613,c_0_614]),
    [final] ).

cnf(c_0_658,plain,
    ssA(n2,n9) = n1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_641,c_0_642])]),
    [final] ).

cnf(c_0_660,plain,
    ssA(n6,n2) = n6,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_643,c_0_644]),c_0_645]),c_0_646]),c_0_647]),
    [final] ).

cnf(c_0_686,plain,
    ssA(n2,n3) = n6,
    inference(sr,[status(thm)],[c_0_670,c_0_671]),
    [final] ).

cnf(c_0_689,plain,
    ssA(n7,n7) = n6,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_548]),c_0_412]),
    [final] ).

cnf(c_0_704,plain,
    ssA(n9,n2) = n1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_682,c_0_623]),c_0_427]),
    [final] ).

cnf(c_0_705,plain,
    ssA(n7,n3) = n5,
    inference(sr,[status(thm)],[c_0_683,c_0_684]),
    [final] ).

cnf(c_0_712,plain,
    ssA(n3,n1) = n5,
    inference(sr,[status(thm)],[c_0_697,c_0_684]),
    [final] ).

cnf(c_0_723,plain,
    ssA(n8,n1) = n7,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_710,c_0_711]),c_0_704]),c_0_427]),
    [final] ).

cnf(c_0_725,plain,
    ssA(n3,n3) = n8,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_656,c_0_712]),c_0_544]),
    [final] ).

cnf(c_0_728,plain,
    ssA(n4,n1) = n8,
    inference(sr,[status(thm)],[c_0_654,c_0_684]),
    [final] ).

cnf(c_0_747,plain,
    ssA(n9,n1) = n6,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_722,c_0_723]),c_0_412]),
    [final] ).

cnf(c_0_769,plain,
    ssA(n7,n2) = n8,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_746,c_0_704]),c_0_747]),c_0_723]),c_0_705]),c_0_748]),c_0_514]),c_0_513]),c_0_749]),c_0_377]),c_0_544]),c_0_750]),
    [final] ).

cnf(c_0_774,plain,
    ssA(n7,n9) = n3,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_752,c_0_139]),c_0_753]),c_0_754]),c_0_755]),c_0_756]),c_0_757]),c_0_758]),c_0_759]),
    [final] ).

cnf(c_0_785,plain,
    ssA(n9,n3) = n9,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_768,c_0_704]),c_0_705]),c_0_769]),c_0_490]),c_0_770]),c_0_289]),c_0_447]),
    [final] ).

cnf(c_0_801,plain,
    ssA(n6,n3) = n2,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_784,c_0_785]),c_0_258]),
    [final] ).

cnf(c_0_823,plain,
    ssA(n6,n1) = n4,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_800,c_0_801]),c_0_372]),
    [final] ).

cnf(c_0_834,plain,
    ssA(n3,n9) = n6,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_401,c_0_658]),c_0_402]),
    [final] ).

cnf(c_0_845,plain,
    ssA(n7,n1) = n2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_822,c_0_823]),c_0_372]),c_0_747]),c_0_264]),
    [final] ).

cnf(c_0_859,plain,
    ssA(n6,n9) = n7,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_835,c_0_834]),c_0_658]),c_0_836]),c_0_837]),c_0_412]),c_0_427]),
    [final] ).

cnf(c_0_861,plain,
    ssA(n8,n5) = n6,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_842,c_0_747])]),
    [final] ).

cnf(c_0_863,plain,
    ssA(n7,n6) = n4,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_844,c_0_845]),c_0_372]),
    [final] ).

cnf(c_0_872,plain,
    ssA(n2,n4) = n4,
    inference(sr,[status(thm)],[c_0_851,c_0_614]),
    [final] ).

cnf(c_0_888,plain,
    ssA(n7,n5) = n9,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_862,c_0_863]),c_0_334]),
    [final] ).

cnf(c_0_897,plain,
    ssA(n5,n5) = n1,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_874,c_0_861]),c_0_402]),
    [final] ).

cnf(c_0_909,plain,
    ssA(n9,n5) = n8,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_887,c_0_888]),c_0_447]),
    [final] ).

cnf(c_0_915,plain,
    ssA(n3,n5) = n7,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_896,c_0_897]),c_0_427]),
    [final] ).

cnf(c_0_920,plain,
    ssA(n8,n6) = n1,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_906,c_0_861]),c_0_907]),c_0_855]),c_0_402]),
    [final] ).

cnf(c_0_921,plain,
    ssA(n8,n9) = n8,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_908,c_0_909])]),
    [final] ).

cnf(c_0_925,plain,
    ssA(n2,n2) = n9,
    inference(sr,[status(thm)],[c_0_914,c_0_671]),
    [final] ).

cnf(c_0_926,plain,
    ssA(n3,n6) = n9,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_915]),c_0_525]),
    [final] ).

cnf(c_0_927,plain,
    ssA(n4,n3) = n1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_916,c_0_623]),c_0_427]),
    [final] ).

cnf(c_0_928,plain,
    ssA(n5,n4) = n8,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_917]),c_0_544]),
    [final] ).

cnf(c_0_929,plain,
    ssA(n5,n6) = n7,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_918,c_0_897]),c_0_427]),
    [final] ).

cnf(c_0_930,plain,
    ssA(n8,n3) = n4,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_919,c_0_588]),c_0_920]),c_0_723]),c_0_334]),c_0_498]),c_0_524]),c_0_921]),c_0_562]),
    [final] ).

cnf(c_0_931,plain,
    ssA(n9,n6) = n2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_922,c_0_863]),c_0_372]),
    [final] ).

cnf(c_0_932,plain,
    ssA(n9,n9) = n4,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_923,c_0_921]),c_0_562]),
    [final] ).

cnf(c_0_933,plain,
    ssP(n1,n4,n7,n6,n3,n5,n8,n2,n9,n3,n9,n6,n4,n2,n8,n5,n7,n1,n5,n2,n8,n1,n7,n9,n3,n4,n6,n8,n7,n1,n2,n4,n6,n9,n3,n5,n9,n5,n3,n8,n1,n7,n4,n6,n2,n4,n6,n2,n9,n5,n3,n1,n8,n7,n2,n8,n5,n7,n9,n4,n6,n1,n3,n7,n3,n4,n5,n6,n1,n2,n9,n8,n6,n1,n9,n3,n8,n2,n7,n5,n4),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_924,c_0_407]),c_0_625]),c_0_443]),c_0_569]),c_0_925]),c_0_686]),c_0_872]),c_0_445]),c_0_658]),c_0_712]),c_0_725]),c_0_642]),c_0_915]),c_0_926]),c_0_533]),c_0_834]),c_0_728]),c_0_623]),c_0_927]),c_0_928]),c_0_897]),c_0_929]),c_0_409]),c_0_823]),c_0_660]),c_0_801]),c_0_523]),c_0_621]),c_0_859]),c_0_845]),c_0_769]),c_0_705]),c_0_888]),c_0_863]),c_0_689]),c_0_723]),c_0_930]),c_0_861]),c_0_920]),c_0_588]),c_0_921]),c_0_747]),c_0_704]),c_0_785]),c_0_909]),c_0_931]),c_0_548]),c_0_932]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : PUZ069+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40  % Computer : n018.cluster.edu
% 0.12/0.40  % Model    : x86_64 x86_64
% 0.12/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40  % Memory   : 8046.5625MB
% 0.12/0.40  % OS       : Linux 6.8.0-71-generic
% 0.12/0.40  % CPULimit : 300
% 0.12/0.40  % WCLimit  : 300
% 0.12/0.41  % DateTime : Mon Sep 21 03:51:13 UTC 2026
% 0.17/0.41  % CPUTime  : 
% 0.17/0.41  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.47  Running first-order theorem proving
% 0.17/0.47  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.99/0.75  % Version: 3.5.1
% 0.99/0.75  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.99/0.75  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.99/0.75  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.99/0.75  % Starting new_bool_3 with 300s (1) cores
% 0.99/0.75  % Starting new_bool_1 with 300s (1) cores
% 0.99/0.75  % Starting sh5l with 300s (1) cores
% 0.99/0.75  % new_bool_3 with pid 905038 completed with status 9
% 0.99/0.75  % new_bool_1 with pid 905039 completed with status 9
% 0.99/0.75  % sh5l with pid 905040 completed with status 9
% 0.99/0.75  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 905037 completed with status 1
% 0.99/0.75  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.99/0.75  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.99/0.75  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.99/0.75  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.99/0.75  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.99/0.75  % No SInE strategy applied
% 0.99/0.75  % Search class: FGUSF-SSLM22-SFFFFFNN
% 0.99/0.75  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.99/0.75  % Starting SubtermCWHack with 136s (1) cores
% 0.99/0.75  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.99/0.75  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.99/0.75  % Starting new_bool_3 with 136s (1) cores
% 0.99/0.75  % Starting new_bool_1 with 136s (1) cores
% 0.99/0.75  % new_bool_1 with pid 905067 completed with status 1
% 0.99/0.75  % Result found by new_bool_1
% 0.99/0.75  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.99/0.75  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.99/0.75  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.99/0.75  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.99/0.75  % No SInE strategy applied
% 0.99/0.75  % Search class: FGUSF-SSLM22-SFFFFFNN
% 0.99/0.75  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.99/0.75  % Starting SubtermCWHack with 136s (1) cores
% 0.99/0.75  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.99/0.75  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.99/0.75  % Starting new_bool_3 with 136s (1) cores
% 0.99/0.75  % Starting new_bool_1 with 136s (1) cores
% 0.99/0.75  % Preprocessing time       : 0.011 s
% 0.99/0.75  % Presaturation interreduction done
% 0.99/0.75  
% 0.99/0.75  % No proof found!
% 0.99/0.75  % SZS status Satisfiable
% 0.99/0.75  % SZS output start Saturation
% See solution above
% 0.99/0.75  % Parsed axioms                        : 370
% 0.99/0.75  % Removed by relevancy pruning/SinE    : 0
% 0.99/0.75  % Initial clauses                      : 1350
% 0.99/0.75  % Removed in clause preprocessing      : 0
% 0.99/0.75  % Initial clauses in saturation        : 1350
% 0.99/0.75  % Processed clauses                    : 3870
% 0.99/0.75  % ...of these trivial                  : 185
% 0.99/0.75  % ...subsumed                          : 1600
% 0.99/0.75  % ...remaining for further processing  : 2085
% 0.99/0.75  % Other redundant clauses eliminated   : 0
% 0.99/0.75  % Clauses deleted for lack of memory   : 0
% 0.99/0.75  % Backward-subsumed                    : 34
% 0.99/0.75  % Backward-rewritten                   : 1064
% 0.99/0.75  % Generated clauses                    : 1739
% 0.99/0.75  % ...of the previous two non-redundant : 2567
% 0.99/0.75  % ...aggressively subsumed             : 0
% 0.99/0.75  % Contextual simplify-reflections      : 2
% 0.99/0.75  % Paramodulations                      : 1594
% 0.99/0.75  % Factorizations                       : 38
% 0.99/0.75  % NegExts                              : 0
% 0.99/0.75  % Equation resolutions                 : 0
% 0.99/0.75  % Disequality decompositions           : 0
% 0.99/0.75  % Total rewrite steps                  : 2944
% 0.99/0.75  % ...of those cached                   : 2863
% 0.99/0.75  % Propositional unsat checks           : 0
% 0.99/0.75  %    Propositional check models        : 0
% 0.99/0.75  %    Propositional check unsatisfiable : 0
% 0.99/0.75  %    Propositional clauses             : 0
% 0.99/0.75  %    Propositional clauses after purity: 0
% 0.99/0.75  %    Propositional unsat core size     : 0
% 0.99/0.75  %    Propositional preprocessing time  : 0.000
% 0.99/0.75  %    Propositional encoding time       : 0.000
% 0.99/0.75  %    Propositional solver time         : 0.000
% 0.99/0.75  %    Success case prop preproc time    : 0.000
% 0.99/0.75  %    Success case prop encoding time   : 0.000
% 0.99/0.75  %    Success case prop solver time     : 0.000
% 0.99/0.75  % Current number of processed clauses  : 118
% 0.99/0.75  %    Positive orientable unit clauses  : 82
% 0.99/0.75  %    Positive unorientable unit clauses: 0
% 0.99/0.75  %    Negative unit clauses             : 36
% 0.99/0.75  %    Non-unit-clauses                  : 0
% 0.99/0.75  % Current number of unprocessed clauses: 0
% 0.99/0.75  % ...number of literals in the above   : 0
% 0.99/0.75  % Current number of archived formulas  : 0
% 0.99/0.75  % Current number of archived clauses   : 1967
% 0.99/0.75  % Clause-clause subsumption calls (NU) : 818
% 0.99/0.75  % Rec. Clause-clause subsumption calls : 99
% 0.99/0.75  % Non-unit clause-clause subsumptions  : 52
% 0.99/0.75  % Unit Clause-clause subsumption calls : 84843
% 0.99/0.75  % Rewrite failures with RHS unbound    : 0
% 0.99/0.75  % BW rewrite match attempts            : 64
% 0.99/0.75  % BW rewrite match successes           : 64
% 0.99/0.75  % Condensation attempts                : 0
% 0.99/0.75  % Condensation successes               : 0
% 0.99/0.75  % Termbank termtop insertions          : 115801
% 0.99/0.75  % Search garbage collected termcells   : 5231
% 0.99/0.75  
% 0.99/0.75  % -------------------------------------------------
% 0.99/0.75  % User time                : 0.178 s
% 0.99/0.75  % System time              : 0.015 s
% 0.99/0.75  % Total time               : 0.193 s
% 0.99/0.75  % Maximum resident set size: 5636 pages
% 0.99/0.75  
% 0.99/0.75  % -------------------------------------------------
% 0.99/0.75  % User time                : 0.922 s
% 0.99/0.75  % System time              : 0.119 s
% 0.99/0.75  % Total time               : 1.042 s
% 0.99/0.75  % Maximum resident set size: 5376 pages
% 0.99/0.75  % E exiting
%------------------------------------------------------------------------------