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E---3.5.1.SAT-Sat.s

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

% Computer : n003.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 02:01:47 PM UTC 2026

% Result   : Satisfiable 0.43s 0.82s
% Output   : Saturation 0.43s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named ax359ERROR: Could not build tree for root c_0_119ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_119,plain,
    ssA(n3,n7) = n3,
    inference(split_conjunct,[status(thm)],[ax359]),
    [final] ).

cnf(c_0_125,plain,
    ssA(n1,n1) = n1,
    inference(split_conjunct,[status(thm)],[ax353]),
    [final] ).

cnf(c_0_126,plain,
    ssA(n1,n3) = n7,
    inference(split_conjunct,[status(thm)],[ax354]),
    [final] ).

cnf(c_0_127,plain,
    ssA(n1,n4) = n6,
    inference(split_conjunct,[status(thm)],[ax355]),
    [final] ).

cnf(c_0_128,plain,
    n1 != n3,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_129,plain,
    n3 != n7,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_130,plain,
    n3 != n6,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_135,plain,
    ssA(n6,n6) = n3,
    inference(split_conjunct,[status(thm)],[ax365]),
    [final] ).

cnf(c_0_141,plain,
    ssA(n8,n2) = n3,
    inference(split_conjunct,[status(thm)],[ax368]),
    [final] ).

cnf(c_0_155,plain,
    ssA(n1,n5) = n3,
    inference(sr,[status(thm)],[c_0_147,c_0_148]),
    [final] ).

cnf(c_0_162,plain,
    ssA(n4,n4) = n2,
    inference(split_conjunct,[status(thm)],[ax360]),
    [final] ).

cnf(c_0_163,plain,
    ssA(n7,n4) = n7,
    inference(split_conjunct,[status(thm)],[ax366]),
    [final] ).

cnf(c_0_166,plain,
    n2 != n3,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_179,plain,
    ssA(n5,n8) = n6,
    inference(split_conjunct,[status(thm)],[ax363]),
    [final] ).

cnf(c_0_180,plain,
    ssA(n7,n8) = n1,
    inference(split_conjunct,[status(thm)],[ax367]),
    [final] ).

cnf(c_0_188,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_178,c_0_179]),c_0_180]),c_0_132]),c_0_181]),c_0_182]),c_0_130]),c_0_183]),c_0_128]),c_0_184]),c_0_185]),
    [final] ).

cnf(c_0_208,plain,
    ssA(n3,n2) = n2,
    inference(split_conjunct,[status(thm)],[ax358]),
    [final] ).

cnf(c_0_213,plain,
    ssA(n8,n7) = n2,
    inference(split_conjunct,[status(thm)],[ax369]),
    [final] ).

cnf(c_0_219,plain,
    ssA(n5,n3) = 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)],[c_0_197,c_0_198]),c_0_199]),c_0_200]),c_0_201]),c_0_202]),c_0_203]),c_0_204]),c_0_205]),c_0_206]),
    [final] ).

cnf(c_0_226,plain,
    n2 != n6,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_228,plain,
    ssA(n6,n5) = n5,
    inference(split_conjunct,[status(thm)],[ax364]),
    [final] ).

cnf(c_0_232,plain,
    ssA(n2,n7) = n5,
    inference(split_conjunct,[status(thm)],[ax357]),
    [final] ).

cnf(c_0_244,plain,
    n3 != n5,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_249,plain,
    n5 != n6,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_250,plain,
    n2 != n5,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_262,plain,
    ssA(n4,n5) = n4,
    inference(split_conjunct,[status(thm)],[ax361]),
    [final] ).

cnf(c_0_263,plain,
    n4 != n5,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_267,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_241,c_0_198]),c_0_219]),c_0_179]),c_0_242]),c_0_243]),c_0_244]),c_0_245]),c_0_246]),c_0_247]),c_0_248]),c_0_249]),c_0_250]),
    [final] ).

cnf(c_0_276,plain,
    n4 != n6,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_292,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_275,c_0_162]),c_0_262]),c_0_228]),c_0_135]),c_0_226]),c_0_276]),c_0_277]),c_0_278]),c_0_279]),c_0_280]),c_0_249]),c_0_130]),
    [final] ).

cnf(c_0_295,plain,
    n3 != n4,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_299,plain,
    n2 != n4,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_305,plain,
    n1 != n5,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_307,plain,
    n1 != n2,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_316,plain,
    n5 != n7,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_318,plain,
    n2 != n7,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_322,plain,
    ssA(n5,n7) = n4,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_311]),c_0_263]),
    [final] ).

cnf(c_0_323,plain,
    n1 != n4,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_337,plain,
    ssA(n6,n7) = n1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_319,c_0_320]),c_0_321]),c_0_322]),c_0_323]),
    [final] ).

cnf(c_0_338,plain,
    n1 != n7,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_339,plain,
    n4 != n7,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_371,plain,
    ssA(n2,n2) != n1,
    inference(rw,[status(thm)],[c_0_342,c_0_125]),
    [final] ).

cnf(c_0_395,plain,
    n6 != n7,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_413,plain,
    ssA(n2,n6) = n8,
    inference(split_conjunct,[status(thm)],[ax356]),
    [final] ).

cnf(c_0_416,plain,
    ssA(n8,n1) = n7,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_389,c_0_390]),c_0_391]),
    [final] ).

cnf(c_0_437,plain,
    n2 != n8,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_448,plain,
    ssA(n2,n2) != n8,
    inference(rw,[status(thm)],[c_0_412,c_0_413]),
    [final] ).

cnf(c_0_449,plain,
    n3 != n8,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_469,plain,
    ssA(n1,n7) = n8,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_429,c_0_430]),c_0_431]),
    [final] ).

cnf(c_0_481,plain,
    ssA(n1,n6) = n5,
    inference(sr,[status(thm)],[c_0_441,c_0_442]),
    [final] ).

cnf(c_0_487,plain,
    n5 != n8,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_490,plain,
    ssA(n4,n1) = n8,
    inference(sr,[status(thm)],[c_0_450,c_0_451]),
    [final] ).

cnf(c_0_492,plain,
    ssA(n4,n2) = n7,
    inference(sr,[status(thm)],[c_0_454,c_0_451]),
    [final] ).

cnf(c_0_509,plain,
    ssA(n2,n2) != n5,
    inference(rw,[status(thm)],[c_0_462,c_0_232]),
    [final] ).

cnf(c_0_527,plain,
    ssA(n2,n5) = n2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_480,c_0_481]),c_0_250]),
    [final] ).

cnf(c_0_532,plain,
    n7 != n8,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_535,plain,
    n1 != n8,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_539,plain,
    ssA(n2,n1) = n3,
    inference(sr,[status(thm)],[c_0_495,c_0_199]),
    [final] ).

cnf(c_0_540,plain,
    ssA(n2,n2) != n7,
    inference(rw,[status(thm)],[c_0_496,c_0_126]),
    [final] ).

cnf(c_0_565,plain,
    ssA(n7,n7) = n6,
    inference(sr,[status(thm)],[c_0_528,c_0_529]),
    [final] ).

cnf(c_0_567,plain,
    ssA(n7,n2) = n8,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_530,c_0_492]),c_0_531]),c_0_532]),c_0_533]),c_0_534]),c_0_535]),
    [final] ).

cnf(c_0_574,plain,
    n1 != n6,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_580,plain,
    ssA(n3,n3) = n8,
    inference(sr,[status(thm)],[c_0_557,c_0_558]),
    [final] ).

cnf(c_0_595,plain,
    n6 != n8,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_596,plain,
    ssA(n3,n1) = n5,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_579,c_0_580]),c_0_487]),
    [final] ).

cnf(c_0_607,plain,
    ssA(n1,n8) = n2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_591,c_0_481]),c_0_250]),
    [final] ).

cnf(c_0_620,plain,
    ssA(n2,n8) = n7,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_592,c_0_608]),c_0_338]),
    [final] ).

cnf(c_0_629,plain,
    ssA(n8,n4) = n5,
    inference(sr,[status(thm)],[c_0_615,c_0_616]),
    [final] ).

cnf(c_0_664,plain,
    n9 = ssA(n2,n2),
    inference(sr,[status(thm)],[c_0_645,c_0_646]),
    [final] ).

cnf(c_0_711,plain,
    ssA(n8,n8) = ssA(n2,n2),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_683,c_0_620]),c_0_340]),c_0_657]),c_0_243]),c_0_664]),c_0_664]),c_0_684]),
    [final] ).

cnf(c_0_733,plain,
    ssA(n7,n3) = n5,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_707,c_0_580]),c_0_487]),
    [final] ).

cnf(c_0_760,plain,
    ssA(ssA(n2,n2),n3) = ssA(n2,n2),
    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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_734,c_0_534]),c_0_321]),c_0_664]),c_0_664]),c_0_664]),c_0_733]),c_0_664]),c_0_664]),c_0_567]),c_0_735]),c_0_509]),c_0_448]),
    [final] ).

cnf(c_0_761,plain,
    ssA(n2,n2) != n2,
    inference(rw,[status(thm)],[c_0_736,c_0_208]),
    [final] ).

cnf(c_0_763,plain,
    ssA(n2,n2) != n6,
    inference(rw,[status(thm)],[c_0_293,c_0_664]),
    [final] ).

cnf(c_0_765,plain,
    ssA(n2,n4) = n4,
    inference(sr,[status(thm)],[c_0_738,c_0_739]),
    [final] ).

cnf(c_0_788,plain,
    ssA(n5,n4) = n8,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_629,c_0_752]),c_0_487]),
    [final] ).

cnf(c_0_798,plain,
    n4 != n8,
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_799,plain,
    ssA(n6,n3) = n2,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_759,c_0_760]),c_0_761]),
    [final] ).

cnf(c_0_800,plain,
    ssA(n2,n3) = n6,
    inference(sr,[status(thm)],[c_0_762,c_0_763]),
    [final] ).

cnf(c_0_801,plain,
    ssA(n2,n2) != n4,
    inference(rw,[status(thm)],[c_0_764,c_0_765]),
    [final] ).

cnf(c_0_824,plain,
    ssA(n5,n6) = n7,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_789,c_0_611]),c_0_340]),
    [final] ).

cnf(c_0_838,plain,
    ssA(n8,n3) = n4,
    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)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_797,c_0_580]),c_0_798]),c_0_664]),c_0_760]),c_0_733]),c_0_799]),c_0_800]),c_0_801]),c_0_263]),c_0_299]),c_0_276]),
    [final] ).

cnf(c_0_843,plain,
    ssA(n6,n8) = n8,
    inference(sr,[status(thm)],[c_0_806,c_0_807]),
    [final] ).

cnf(c_0_858,plain,
    ssA(n5,n5) = n1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_823,c_0_824]),c_0_338]),
    [final] ).

cnf(c_0_906,plain,
    ssA(n7,n6) = n4,
    inference(sr,[status(thm)],[c_0_874,c_0_875]),
    [final] ).

cnf(c_0_910,plain,
    ssA(n8,n5) = n6,
    inference(sr,[status(thm)],[c_0_881,c_0_882]),
    [final] ).

cnf(c_0_912,plain,
    ssA(n1,n2) = n4,
    inference(sr,[status(thm)],[c_0_884,c_0_646]),
    [final] ).

cnf(c_0_913,plain,
    ssA(n3,n4) = n1,
    inference(sr,[status(thm)],[c_0_885,c_0_739]),
    [final] ).

cnf(c_0_914,plain,
    ssA(n3,n5) = n7,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_886,c_0_611]),c_0_340]),
    [final] ).

cnf(c_0_915,plain,
    ssA(n4,n3) = n1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_887,c_0_490])]),
    [final] ).

cnf(c_0_916,plain,
    ssA(n6,n2) = n6,
    inference(sr,[status(thm)],[c_0_888,c_0_763]),
    [final] ).

cnf(c_0_917,plain,
    ssA(n6,ssA(n2,n2)) = 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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_889,c_0_320]),c_0_664]),c_0_322]),c_0_337]),c_0_843]),c_0_664]),c_0_540]),c_0_339]),c_0_338]),c_0_532]),
    [final] ).

cnf(c_0_918,plain,
    ssA(n8,n6) = n1,
    inference(sr,[status(thm)],[c_0_890,c_0_891]),
    [final] ).

cnf(c_0_923,plain,
    ssA(ssA(n2,n2),n2) = n1,
    inference(rw,[status(thm)],[c_0_534,c_0_664]),
    [final] ).

cnf(c_0_929,plain,
    ssA(n1,ssA(n2,n2)) = ssA(n2,n2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_632,c_0_664]),c_0_664]),
    [final] ).

cnf(c_0_930,plain,
    ssA(n2,ssA(n2,n2)) = n1,
    inference(rw,[status(thm)],[c_0_621,c_0_664]),
    [final] ).

cnf(c_0_931,plain,
    ssA(n8,ssA(n2,n2)) = n8,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_909,c_0_664]),c_0_910]),c_0_595]),
    [final] ).

cnf(c_0_934,plain,
    ssA(n3,ssA(n2,n2)) = n6,
    inference(rw,[status(thm)],[c_0_609,c_0_664]),
    [final] ).

cnf(c_0_935,plain,
    ssA(n3,n8) = n4,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_919,c_0_711]),c_0_801]),
    [final] ).

cnf(c_0_936,plain,
    ssA(n6,n1) = n4,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_920,c_0_916]),c_0_276]),c_0_799]),c_0_299]),
    [final] ).

cnf(c_0_937,plain,
    ssA(n7,n1) = n2,
    inference(sr,[status(thm)],[c_0_921,c_0_875]),
    [final] ).

cnf(c_0_938,plain,
    ssA(ssA(n2,n2),n1) = n6,
    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(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_922,c_0_416]),c_0_395]),c_0_664]),c_0_664]),c_0_923]),c_0_664]),c_0_882]),c_0_574]),c_0_924]),
    [final] ).

cnf(c_0_939,plain,
    ssA(ssA(n2,n2),n5) = n8,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_925,c_0_664]),c_0_910]),c_0_595]),
    [final] ).

cnf(c_0_940,plain,
    ssA(ssA(n2,n2),n6) = n2,
    inference(sr,[status(thm)],[c_0_926,c_0_927]),
    [final] ).

cnf(c_0_941,plain,
    ssA(ssA(n2,n2),n7) = n7,
    inference(rw,[status(thm)],[c_0_367,c_0_664]),
    [final] ).

cnf(c_0_942,plain,
    ssA(ssA(n2,n2),ssA(n2,n2)) = n4,
    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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_928,c_0_609]),c_0_276]),c_0_664]),c_0_929]),c_0_664]),c_0_930]),c_0_664]),c_0_931]),c_0_664]),c_0_664]),c_0_801]),c_0_323]),c_0_798]),
    [final] ).

cnf(c_0_943,plain,
    ssA(n2,n2) != n3,
    inference(rw,[status(thm)],[c_0_932,c_0_141]),
    [final] ).

cnf(c_0_944,plain,
    ssP(n1,n4,n7,n6,n3,n5,n8,n2,ssA(n2,n2),n3,ssA(n2,n2),n6,n4,n2,n8,n5,n7,n1,n5,n2,n8,n1,n7,ssA(n2,n2),n3,n4,n6,n8,n7,n1,n2,n4,n6,ssA(n2,n2),n3,n5,ssA(n2,n2),n5,n3,n8,n1,n7,n4,n6,n2,n4,n6,n2,ssA(n2,n2),n5,n3,n1,n8,n7,n2,n8,n5,n7,ssA(n2,n2),n4,n6,n1,n3,n7,n3,n4,n5,n6,n1,n2,ssA(n2,n2),n8,n6,n1,ssA(n2,n2),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)],[c_0_933,c_0_934]),c_0_929]),c_0_930]),c_0_935]),c_0_936]),c_0_799]),c_0_937]),c_0_906]),c_0_838]),c_0_711]),c_0_931]),c_0_938]),c_0_923]),c_0_760]),c_0_939]),c_0_940]),c_0_941]),c_0_942]),
    [final] ).

cnf(c_0_945,plain,
    ssA(ssA(n2,n2),n8) = n5,
    inference(rw,[status(thm)],[c_0_657,c_0_664]),
    [final] ).

cnf(c_0_946,plain,
    ssA(n4,ssA(n2,n2)) = n5,
    inference(rw,[status(thm)],[c_0_309,c_0_664]),
    [final] ).

cnf(c_0_947,plain,
    ssA(n5,ssA(n2,n2)) = n2,
    inference(rw,[status(thm)],[c_0_242,c_0_664]),
    [final] ).

cnf(c_0_948,plain,
    ssA(n7,ssA(n2,n2)) = n3,
    inference(rw,[status(thm)],[c_0_757,c_0_664]),
    [final] ).

cnf(c_0_949,plain,
    ssA(ssA(n2,n2),n4) = n3,
    inference(rw,[status(thm)],[c_0_176,c_0_664]),
    [final] ).

cnf(c_0_950,plain,
    ssA(n5,n1) = ssA(n2,n2),
    inference(rw,[status(thm)],[c_0_198,c_0_664]),
    [final] ).

cnf(c_0_951,plain,
    ssA(n6,n4) = ssA(n2,n2),
    inference(rw,[status(thm)],[c_0_518,c_0_664]),
    [final] ).

cnf(c_0_952,plain,
    ssA(n7,n5) = ssA(n2,n2),
    inference(rw,[status(thm)],[c_0_598,c_0_664]),
    [final] ).

cnf(c_0_953,plain,
    ssA(n4,n7) = ssA(n2,n2),
    inference(rw,[status(thm)],[c_0_320,c_0_664]),
    [final] ).

cnf(c_0_954,plain,
    ssA(n3,n6) = ssA(n2,n2),
    inference(rw,[status(thm)],[c_0_611,c_0_664]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : PUZ069+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.45  % Computer : n003.cluster.edu
% 0.18/0.45  % Model    : x86_64 x86_64
% 0.18/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45  % Memory   : 8046.5625MB
% 0.18/0.45  % OS       : Linux 6.8.0-71-generic
% 0.18/0.45  % CPULimit : 300
% 0.18/0.45  % WCLimit  : 300
% 0.18/0.45  % DateTime : Mon Sep 21 03:50:46 UTC 2026
% 0.18/0.45  % CPUTime  : 
% 0.18/0.45  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.52  Running first-order theorem proving
% 0.22/0.52  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.43/0.82  % Version: 3.5.1
% 0.43/0.82  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.43/0.82  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.82  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.43/0.82  % Starting new_bool_3 with 300s (1) cores
% 0.43/0.82  % Starting new_bool_1 with 300s (1) cores
% 0.43/0.82  % Starting sh5l with 300s (1) cores
% 0.43/0.82  % sh5l with pid 3340828 completed with status 9
% 0.43/0.82  % new_bool_3 with pid 3340826 completed with status 9
% 0.43/0.82  % new_bool_1 with pid 3340827 completed with status 9
% 0.43/0.82  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3340825 completed with status 1
% 0.43/0.82  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.43/0.82  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.43/0.82  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.82  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.43/0.82  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.43/0.82  % No SInE strategy applied
% 0.43/0.82  % Search class: FGUSF-SSLM22-SFFFFFNN
% 0.43/0.82  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.43/0.82  % Starting SubtermCWHack with 136s (1) cores
% 0.43/0.82  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.43/0.82  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.43/0.82  % Starting new_bool_3 with 136s (1) cores
% 0.43/0.82  % Starting new_bool_1 with 136s (1) cores
% 0.43/0.82  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3340869 completed with status 1
% 0.43/0.82  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.43/0.82  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.43/0.82  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.82  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.43/0.82  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.43/0.82  % No SInE strategy applied
% 0.43/0.82  % Search class: FGUSF-SSLM22-SFFFFFNN
% 0.43/0.82  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.43/0.82  % Starting SubtermCWHack with 136s (1) cores
% 0.43/0.82  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.43/0.82  % Preprocessing time       : 0.010 s
% 0.43/0.82  % Presaturation interreduction done
% 0.43/0.82  
% 0.43/0.82  % No proof found!
% 0.43/0.82  % SZS status Satisfiable
% 0.43/0.82  % SZS output start Saturation
% See solution above
% 0.43/0.82  % Parsed axioms                        : 370
% 0.43/0.82  % Removed by relevancy pruning/SinE    : 0
% 0.43/0.82  % Initial clauses                      : 1350
% 0.43/0.82  % Removed in clause preprocessing      : 0
% 0.43/0.82  % Initial clauses in saturation        : 1350
% 0.43/0.82  % Processed clauses                    : 4426
% 0.43/0.82  % ...of these trivial                  : 182
% 0.43/0.82  % ...subsumed                          : 1889
% 0.43/0.82  % ...remaining for further processing  : 2355
% 0.43/0.82  % Other redundant clauses eliminated   : 0
% 0.43/0.82  % Clauses deleted for lack of memory   : 0
% 0.43/0.82  % Backward-subsumed                    : 75
% 0.43/0.82  % Backward-rewritten                   : 1249
% 0.43/0.82  % Generated clauses                    : 3737
% 0.43/0.82  % ...of the previous two non-redundant : 4700
% 0.43/0.82  % ...aggressively subsumed             : 0
% 0.43/0.82  % Contextual simplify-reflections      : 0
% 0.43/0.82  % Paramodulations                      : 3507
% 0.43/0.82  % Factorizations                       : 79
% 0.43/0.82  % NegExts                              : 0
% 0.43/0.82  % Equation resolutions                 : 0
% 0.43/0.82  % Disequality decompositions           : 0
% 0.43/0.82  % Total rewrite steps                  : 3252
% 0.43/0.82  % ...of those cached                   : 3165
% 0.43/0.82  % Propositional unsat checks           : 0
% 0.43/0.82  %    Propositional check models        : 0
% 0.43/0.82  %    Propositional check unsatisfiable : 0
% 0.43/0.82  %    Propositional clauses             : 0
% 0.43/0.82  %    Propositional clauses after purity: 0
% 0.43/0.82  %    Propositional unsat core size     : 0
% 0.43/0.82  %    Propositional preprocessing time  : 0.000
% 0.43/0.82  %    Propositional encoding time       : 0.000
% 0.43/0.82  %    Propositional solver time         : 0.000
% 0.43/0.82  %    Success case prop preproc time    : 0.000
% 0.43/0.82  %    Success case prop encoding time   : 0.000
% 0.43/0.82  %    Success case prop solver time     : 0.000
% 0.43/0.82  % Current number of processed clauses  : 118
% 0.43/0.82  %    Positive orientable unit clauses  : 82
% 0.43/0.82  %    Positive unorientable unit clauses: 0
% 0.43/0.82  %    Negative unit clauses             : 36
% 0.43/0.82  %    Non-unit-clauses                  : 0
% 0.43/0.82  % Current number of unprocessed clauses: 0
% 0.43/0.82  % ...number of literals in the above   : 0
% 0.43/0.82  % Current number of archived formulas  : 0
% 0.43/0.82  % Current number of archived clauses   : 2237
% 0.43/0.82  % Clause-clause subsumption calls (NU) : 1494
% 0.43/0.82  % Rec. Clause-clause subsumption calls : 543
% 0.43/0.82  % Non-unit clause-clause subsumptions  : 45
% 0.43/0.82  % Unit Clause-clause subsumption calls : 89153
% 0.43/0.82  % Rewrite failures with RHS unbound    : 0
% 0.43/0.82  % BW rewrite match attempts            : 68
% 0.43/0.82  % BW rewrite match successes           : 68
% 0.43/0.82  % Condensation attempts                : 0
% 0.43/0.82  % Condensation successes               : 0
% 0.43/0.82  % Termbank termtop insertions          : 131790
% 0.43/0.82  % Search garbage collected termcells   : 5231
% 0.43/0.82  
% 0.43/0.82  % -------------------------------------------------
% 0.43/0.82  % User time                : 0.230 s
% 0.43/0.82  % System time              : 0.010 s
% 0.43/0.82  % Total time               : 0.240 s
% 0.43/0.82  % Maximum resident set size: 5892 pages
% 0.43/0.82  
% 0.43/0.82  % -------------------------------------------------
% 0.43/0.82  % User time                : 1.084 s
% 0.43/0.82  % System time              : 0.106 s
% 0.43/0.82  % Total time               : 1.190 s
% 0.43/0.82  % Maximum resident set size: 5632 pages
% 0.43/0.82  % E exiting
%------------------------------------------------------------------------------