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iProver-SAT---3.9.4.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : iProver-SAT---3.9.4
% Problem  : SWV538-1.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT

% Computer : n005.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 : Fri Sep 25 03:26:00 PM UTC 2026

% Result   : Satisfiable 3.45s 1.37s
% Output   : Saturation 3.45s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] : select(store(X0,X1,X2),X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( select(store(X2,X0,X3),X1) = select(X2,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).

fof(f3,axiom,
    a_469 = store(a1,i1,e_468),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).

fof(f4,axiom,
    a_470 = store(a_469,i1,e_468),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).

fof(f5,axiom,
    a_472 = store(a_470,i0,e_471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).

fof(f6,axiom,
    a_474 = store(a_472,i3,e_473),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).

fof(f7,axiom,
    a_476 = store(a_474,i3,e_475),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).

fof(f8,axiom,
    a_478 = store(a_476,i2,e_477),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).

fof(f9,axiom,
    a_480 = store(a_478,i2,e_479),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).

fof(f10,axiom,
    a_482 = store(a_480,i0,e_481),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).

fof(f11,axiom,
    a_483 = store(a_470,i3,e_473),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).

fof(f12,axiom,
    a_484 = store(a_483,i0,e_471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).

fof(f13,axiom,
    a_486 = store(a_484,i3,e_485),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).

fof(f14,axiom,
    a_488 = store(a_486,i2,e_487),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).

fof(f15,axiom,
    a_490 = store(a_488,i0,e_489),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).

fof(f16,axiom,
    a_492 = store(a_490,i3,e_491),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).

fof(f17,axiom,
    e_468 = select(a1,i1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp14) ).

fof(f18,axiom,
    e_471 = select(a_470,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).

fof(f19,axiom,
    e_473 = select(a_470,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).

fof(f20,axiom,
    e_475 = select(a_474,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).

fof(f21,axiom,
    e_477 = select(a_474,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).

fof(f22,axiom,
    e_479 = select(a_478,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).

fof(f23,axiom,
    e_481 = select(a_478,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).

fof(f24,axiom,
    e_485 = select(a_484,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).

fof(f25,axiom,
    e_487 = select(a_484,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).

fof(f26,axiom,
    e_489 = select(a_488,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).

fof(f27,axiom,
    e_491 = select(a_488,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).

fof(f28,axiom,
    e_494 = select(a_482,i_493),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp25) ).

fof(f29,axiom,
    e_495 = select(a_492,i_493),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp26) ).

fof(f30,axiom,
    i_493 = sk(a_482,a_492),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp27) ).

fof(f31,negated_conjecture,
    e_494 != e_495,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i,X2: $i] : select(store(X0,X1,X2),X1) = X2,
    inference(cnf_transformation,[],[f1]) ).

tcf(c_81,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X3 )
      | ( select(store(X0,X1,X2),X3) = select(X0,X3) ) ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_82,plain,
    store(a1,i1,e_468) = a_469,
    inference(cnf_transformation,[],[f3]) ).

tcf(c_83,plain,
    store(a_469,i1,e_468) = a_470,
    inference(cnf_transformation,[],[f4]) ).

tcf(c_84,plain,
    store(a_470,i0,e_471) = a_472,
    inference(cnf_transformation,[],[f5]) ).

tcf(c_85,plain,
    store(a_472,i3,e_473) = a_474,
    inference(cnf_transformation,[],[f6]) ).

tcf(c_86,plain,
    store(a_474,i3,e_475) = a_476,
    inference(cnf_transformation,[],[f7]) ).

tcf(c_87,plain,
    store(a_476,i2,e_477) = a_478,
    inference(cnf_transformation,[],[f8]) ).

tcf(c_88,plain,
    store(a_478,i2,e_479) = a_480,
    inference(cnf_transformation,[],[f9]) ).

tcf(c_89,plain,
    store(a_480,i0,e_481) = a_482,
    inference(cnf_transformation,[],[f10]) ).

tcf(c_90,plain,
    store(a_470,i3,e_473) = a_483,
    inference(cnf_transformation,[],[f11]) ).

tcf(c_91,plain,
    store(a_483,i0,e_471) = a_484,
    inference(cnf_transformation,[],[f12]) ).

tcf(c_92,plain,
    store(a_484,i3,e_485) = a_486,
    inference(cnf_transformation,[],[f13]) ).

tcf(c_93,plain,
    store(a_486,i2,e_487) = a_488,
    inference(cnf_transformation,[],[f14]) ).

tcf(c_94,plain,
    store(a_488,i0,e_489) = a_490,
    inference(cnf_transformation,[],[f15]) ).

tcf(c_95,plain,
    store(a_490,i3,e_491) = a_492,
    inference(cnf_transformation,[],[f16]) ).

tcf(c_96,plain,
    select(a1,i1) = e_468,
    inference(cnf_transformation,[],[f17]) ).

tcf(c_97,plain,
    select(a_470,i3) = e_471,
    inference(cnf_transformation,[],[f18]) ).

tcf(c_98,plain,
    select(a_470,i0) = e_473,
    inference(cnf_transformation,[],[f19]) ).

tcf(c_99,plain,
    select(a_474,i2) = e_475,
    inference(cnf_transformation,[],[f20]) ).

tcf(c_100,plain,
    select(a_474,i3) = e_477,
    inference(cnf_transformation,[],[f21]) ).

tcf(c_101,plain,
    select(a_478,i0) = e_479,
    inference(cnf_transformation,[],[f22]) ).

tcf(c_102,plain,
    select(a_478,i2) = e_481,
    inference(cnf_transformation,[],[f23]) ).

tcf(c_103,plain,
    select(a_484,i2) = e_485,
    inference(cnf_transformation,[],[f24]) ).

tcf(c_104,plain,
    select(a_484,i3) = e_487,
    inference(cnf_transformation,[],[f25]) ).

tcf(c_105,plain,
    select(a_488,i3) = e_489,
    inference(cnf_transformation,[],[f26]) ).

tcf(c_106,plain,
    select(a_488,i0) = e_491,
    inference(cnf_transformation,[],[f27]) ).

tcf(c_107,plain,
    select(a_482,i_493) = e_494,
    inference(cnf_transformation,[],[f28]) ).

tcf(c_108,plain,
    select(a_492,i_493) = e_495,
    inference(cnf_transformation,[],[f29]) ).

tcf(c_109,plain,
    sk(a_482,a_492) = i_493,
    inference(cnf_transformation,[],[f30]) ).

tcf(c_110,negated_conjecture,
    e_494 != e_495,
    inference(cnf_transformation,[],[f31]) ).

tcf(c_121,plain,
    select(a_469,i1) = e_468,
    inference(superposition,[status(thm)],[c_82,c_80]) ).

tcf(c_122,plain,
    select(a_470,i1) = e_468,
    inference(superposition,[status(thm)],[c_83,c_80]) ).

tcf(c_123,plain,
    select(a_472,i0) = e_471,
    inference(superposition,[status(thm)],[c_84,c_80]) ).

tcf(c_124,plain,
    select(a_474,i3) = e_473,
    inference(superposition,[status(thm)],[c_85,c_80]) ).

tcf(c_125,plain,
    select(a_476,i3) = e_475,
    inference(superposition,[status(thm)],[c_86,c_80]) ).

tcf(c_126,plain,
    select(a_478,i2) = e_477,
    inference(superposition,[status(thm)],[c_87,c_80]) ).

tcf(c_127,plain,
    select(a_480,i2) = e_479,
    inference(superposition,[status(thm)],[c_88,c_80]) ).

tcf(c_128,plain,
    select(a_482,i0) = e_481,
    inference(superposition,[status(thm)],[c_89,c_80]) ).

tcf(c_129,plain,
    select(a_483,i3) = e_473,
    inference(superposition,[status(thm)],[c_90,c_80]) ).

tcf(c_130,plain,
    select(a_484,i0) = e_471,
    inference(superposition,[status(thm)],[c_91,c_80]) ).

tcf(c_131,plain,
    e_473 = e_477,
    inference(demodulation,[status(thm)],[c_100,c_124]) ).

tcf(c_132,plain,
    store(a_476,i2,e_473) = a_478,
    inference(demodulation,[status(thm)],[c_87,c_131]) ).

tcf(c_133,plain,
    e_477 = e_481,
    inference(demodulation,[status(thm)],[c_102,c_126]) ).

tcf(c_134,plain,
    store(a_480,i0,e_477) = a_482,
    inference(demodulation,[status(thm)],[c_89,c_133]) ).

tcf(c_135,plain,
    select(a_486,i3) = e_485,
    inference(superposition,[status(thm)],[c_92,c_80]) ).

tcf(c_136,plain,
    select(a_488,i2) = e_487,
    inference(superposition,[status(thm)],[c_93,c_80]) ).

tcf(c_137,plain,
    select(a_490,i0) = e_489,
    inference(superposition,[status(thm)],[c_94,c_80]) ).

tcf(c_138,plain,
    select(a_492,i3) = e_491,
    inference(superposition,[status(thm)],[c_95,c_80]) ).

tcf(c_139,plain,
    e_473 = e_481,
    inference(light_normalisation,[status(thm)],[c_133,c_131]) ).

tcf(c_140,plain,
    select(a_478,i2) = e_473,
    inference(light_normalisation,[status(thm)],[c_126,c_131]) ).

tcf(c_141,plain,
    select(a_482,i0) = e_473,
    inference(light_normalisation,[status(thm)],[c_128,c_139]) ).

tcf(c_146,plain,
    ! [X0: $i] :
      ( ( X0 = i1 )
      | ( select(a_469,X0) = select(a1,X0) ) ),
    inference(superposition,[status(thm)],[c_82,c_81]) ).

tcf(c_147,plain,
    ! [X0: $i] :
      ( ( X0 = i1 )
      | ( select(a_469,X0) = select(a_470,X0) ) ),
    inference(superposition,[status(thm)],[c_83,c_81]) ).

tcf(c_148,plain,
    ! [X0: $i] :
      ( ( X0 = i0 )
      | ( select(a_470,X0) = select(a_472,X0) ) ),
    inference(superposition,[status(thm)],[c_84,c_81]) ).

tcf(c_149,plain,
    ! [X0: $i] :
      ( ( X0 = i3 )
      | ( select(a_472,X0) = select(a_474,X0) ) ),
    inference(superposition,[status(thm)],[c_85,c_81]) ).

tcf(c_150,plain,
    ! [X0: $i] :
      ( ( X0 = i3 )
      | ( select(a_474,X0) = select(a_476,X0) ) ),
    inference(superposition,[status(thm)],[c_86,c_81]) ).

tcf(c_151,plain,
    ! [X0: $i] :
      ( ( X0 = i2 )
      | ( select(a_478,X0) = select(a_480,X0) ) ),
    inference(superposition,[status(thm)],[c_88,c_81]) ).

tcf(c_152,plain,
    ! [X0: $i] :
      ( ( X0 = i3 )
      | ( select(a_470,X0) = select(a_483,X0) ) ),
    inference(superposition,[status(thm)],[c_90,c_81]) ).

tcf(c_153,plain,
    ! [X0: $i] :
      ( ( X0 = i0 )
      | ( select(a_483,X0) = select(a_484,X0) ) ),
    inference(superposition,[status(thm)],[c_91,c_81]) ).

tcf(c_154,plain,
    ! [X0: $i] :
      ( ( X0 = i3 )
      | ( select(a_484,X0) = select(a_486,X0) ) ),
    inference(superposition,[status(thm)],[c_92,c_81]) ).

tcf(c_155,plain,
    ! [X0: $i] :
      ( ( X0 = i2 )
      | ( select(a_486,X0) = select(a_488,X0) ) ),
    inference(superposition,[status(thm)],[c_93,c_81]) ).

tcf(c_156,plain,
    ! [X0: $i] :
      ( ( X0 = i0 )
      | ( select(a_488,X0) = select(a_490,X0) ) ),
    inference(superposition,[status(thm)],[c_94,c_81]) ).

tcf(c_157,plain,
    ! [X0: $i] :
      ( ( X0 = i3 )
      | ( select(a_490,X0) = select(a_492,X0) ) ),
    inference(superposition,[status(thm)],[c_95,c_81]) ).

tcf(c_158,plain,
    ! [X0: $i] :
      ( ( X0 = i2 )
      | ( select(a_476,X0) = select(a_478,X0) ) ),
    inference(superposition,[status(thm)],[c_132,c_81]) ).

tcf(c_194,plain,
    store(a_480,i0,e_473) = a_482,
    inference(light_normalisation,[status(thm)],[c_134,c_131]) ).

tcf(c_195,plain,
    ! [X0: $i] :
      ( ( X0 = i0 )
      | ( select(a_480,X0) = select(a_482,X0) ) ),
    inference(superposition,[status(thm)],[c_194,c_81]) ).

tcf(c_224,plain,
    ( ( i0 = i3 )
    | ( select(a_474,i0) = e_471 ) ),
    inference(superposition,[status(thm)],[c_149,c_123]) ).

tcf(c_225,plain,
    ! [X0: $i] :
      ( ( X0 = i3 )
      | ( X0 = i0 )
      | ( select(a_470,X0) = select(a_474,X0) ) ),
    inference(superposition,[status(thm)],[c_149,c_148]) ).

tcf(c_259,plain,
    ( ( i0 = i3 )
    | ( select(a_484,i3) = e_473 ) ),
    inference(superposition,[status(thm)],[c_153,c_129]) ).

tcf(c_260,plain,
    ! [X0: $i] :
      ( ( X0 = i3 )
      | ( X0 = i0 )
      | ( select(a_470,X0) = select(a_484,X0) ) ),
    inference(superposition,[status(thm)],[c_153,c_152]) ).

tcf(c_261,plain,
    ( ( e_473 = e_487 )
    | ( i0 = i3 ) ),
    inference(light_normalisation,[status(thm)],[c_259,c_104]) ).

tcf(c_273,plain,
    ( ( i0 = i3 )
    | ( store(a_486,i2,e_473) = a_488 ) ),
    inference(superposition,[status(thm)],[c_261,c_93]) ).

tcf(c_297,plain,
    ( ( i3 = i2 )
    | ( select(a_488,i3) = e_485 ) ),
    inference(superposition,[status(thm)],[c_155,c_135]) ).

tcf(c_298,plain,
    ! [X0: $i] :
      ( ( X0 = i2 )
      | ( X0 = i3 )
      | ( select(a_484,X0) = select(a_488,X0) ) ),
    inference(superposition,[status(thm)],[c_155,c_154]) ).

tcf(c_299,plain,
    ( ( e_485 = e_489 )
    | ( i3 = i2 ) ),
    inference(light_normalisation,[status(thm)],[c_297,c_105]) ).

tcf(c_322,plain,
    ( ( i0 = i3 )
    | ( select(a_492,i0) = e_489 ) ),
    inference(superposition,[status(thm)],[c_157,c_137]) ).

tcf(c_323,plain,
    ! [X0: $i] :
      ( ( X0 = i3 )
      | ( X0 = i0 )
      | ( select(a_488,X0) = select(a_492,X0) ) ),
    inference(superposition,[status(thm)],[c_157,c_156]) ).

tcf(c_333,plain,
    ( ( i3 = i2 )
    | ( store(a_488,i0,e_485) = a_490 ) ),
    inference(superposition,[status(thm)],[c_299,c_94]) ).

tcf(c_353,plain,
    ( ( i3 = i2 )
    | ( select(a_478,i3) = e_475 ) ),
    inference(superposition,[status(thm)],[c_158,c_125]) ).

tcf(c_354,plain,
    ! [X0: $i] :
      ( ( X0 = i2 )
      | ( X0 = i3 )
      | ( select(a_474,X0) = select(a_478,X0) ) ),
    inference(superposition,[status(thm)],[c_158,c_150]) ).

tcf(c_374,plain,
    ( ( i0 = i2 )
    | ( select(a_482,i2) = e_479 ) ),
    inference(superposition,[status(thm)],[c_195,c_127]) ).

tcf(c_375,plain,
    ! [X0: $i] :
      ( ( X0 = i2 )
      | ( X0 = i0 )
      | ( select(a_478,X0) = select(a_482,X0) ) ),
    inference(superposition,[status(thm)],[c_195,c_151]) ).

tcf(c_395,plain,
    ( ( i3 = i2 )
    | ( i0 = i2 )
    | ( select(a_470,i2) = e_475 ) ),
    inference(superposition,[status(thm)],[c_225,c_99]) ).

tcf(c_420,plain,
    ( ( i3 = i2 )
    | ( i0 = i2 )
    | ( select(a_470,i2) = e_485 ) ),
    inference(superposition,[status(thm)],[c_260,c_103]) ).

tcf(c_432,plain,
    ( ( e_475 = e_485 )
    | ( i3 = i2 )
    | ( i0 = i2 ) ),
    inference(superposition,[status(thm)],[c_395,c_420]) ).

tcf(c_443,plain,
    ( ( i3 = i2 )
    | ( i0 = i2 )
    | ( store(a_488,i0,e_475) = a_490 ) ),
    inference(superposition,[status(thm)],[c_432,c_333]) ).

tcf(c_444,plain,
    ( ( i3 = i2 )
    | ( i0 = i2 )
    | ( store(a_484,i3,e_475) = a_486 ) ),
    inference(superposition,[status(thm)],[c_432,c_92]) ).

tcf(c_468,plain,
    ( ( i0 = i2 )
    | ( i0 = i3 )
    | ( select(a_484,i0) = e_491 ) ),
    inference(superposition,[status(thm)],[c_298,c_106]) ).

tcf(c_470,plain,
    ( ( e_471 = e_491 )
    | ( i0 = i2 )
    | ( i0 = i3 ) ),
    inference(light_normalisation,[status(thm)],[c_468,c_130]) ).

tcf(c_480,plain,
    ( ( i0 = i2 )
    | ( i0 = i3 )
    | ( store(a_490,i3,e_471) = a_492 ) ),
    inference(superposition,[status(thm)],[c_470,c_95]) ).

tcf(c_526,plain,
    ( ( i3 = i2 )
    | ( i0 = i2 )
    | ( select(a_490,i0) = e_475 ) ),
    inference(superposition,[status(thm)],[c_443,c_80]) ).

tcf(c_527,plain,
    ( ( e_475 = e_489 )
    | ( i3 = i2 )
    | ( i0 = i2 ) ),
    inference(light_normalisation,[status(thm)],[c_526,c_137]) ).

tcf(c_550,plain,
    ( ( i3 = i_493 )
    | ( i0 = i_493 )
    | ( select(a_488,i_493) = e_495 ) ),
    inference(superposition,[status(thm)],[c_323,c_108]) ).

tcf(c_578,plain,
    ( ( i2 = i_493 )
    | ( i3 = i_493 )
    | ( i0 = i_493 )
    | ( select(a_484,i_493) = e_495 ) ),
    inference(superposition,[status(thm)],[c_298,c_550]) ).

tcf(c_593,plain,
    ( ( i0 = i2 )
    | ( i0 = i3 )
    | ( select(a_474,i0) = e_479 ) ),
    inference(superposition,[status(thm)],[c_354,c_101]) ).

tcf(c_608,plain,
    ( ( e_471 = e_479 )
    | ( i0 = i2 )
    | ( i0 = i3 ) ),
    inference(superposition,[status(thm)],[c_593,c_224]) ).

tcf(c_618,plain,
    ( ( i0 = i2 )
    | ( i0 = i3 )
    | ( store(a_478,i2,e_471) = a_480 ) ),
    inference(superposition,[status(thm)],[c_608,c_88]) ).

tcf(c_640,plain,
    ( ( i2 = i_493 )
    | ( i0 = i_493 )
    | ( select(a_478,i_493) = e_494 ) ),
    inference(superposition,[status(thm)],[c_375,c_107]) ).

tcf(c_652,plain,
    ( ( i2 = i_493 )
    | ( i3 = i_493 )
    | ( i0 = i_493 )
    | ( select(a_474,i_493) = e_494 ) ),
    inference(superposition,[status(thm)],[c_354,c_640]) ).

tcf(c_666,plain,
    ( ( i2 = i_493 )
    | ( i3 = i_493 )
    | ( i0 = i_493 )
    | ( select(a_470,i_493) = e_495 ) ),
    inference(superposition,[status(thm)],[c_260,c_578]) ).

tcf(c_684,plain,
    ( ( i2 = i_493 )
    | ( i3 = i_493 )
    | ( i0 = i_493 )
    | ( select(a_470,i_493) = e_494 ) ),
    inference(superposition,[status(thm)],[c_225,c_652]) ).

tcf(c_706,plain,
    ( ( e_494 = e_495 )
    | ( i2 = i_493 )
    | ( i3 = i_493 )
    | ( i0 = i_493 ) ),
    inference(superposition,[status(thm)],[c_666,c_684]) ).

tcf(c_708,plain,
    ( ( i2 = i_493 )
    | ( i3 = i_493 )
    | ( i0 = i_493 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_706,c_110]) ).

tcf(c_722,plain,
    ( ( i3 = i_493 )
    | ( i0 = i_493 )
    | ( select(a_488,i2) = e_495 ) ),
    inference(superposition,[status(thm)],[c_708,c_550]) ).

tcf(c_723,plain,
    ( ( i3 = i_493 )
    | ( i0 = i_493 )
    | ( select(a_492,i2) = e_495 ) ),
    inference(superposition,[status(thm)],[c_708,c_108]) ).

tcf(c_724,plain,
    ( ( i3 = i_493 )
    | ( i0 = i_493 )
    | ( select(a_482,i2) = e_494 ) ),
    inference(superposition,[status(thm)],[c_708,c_107]) ).

tcf(c_731,plain,
    ( ( e_487 = e_495 )
    | ( i3 = i_493 )
    | ( i0 = i_493 ) ),
    inference(light_normalisation,[status(thm)],[c_722,c_136]) ).

tcf(c_758,plain,
    ( ( e_479 = e_494 )
    | ( i3 = i_493 )
    | ( i0 = i_493 )
    | ( i0 = i2 ) ),
    inference(superposition,[status(thm)],[c_724,c_374]) ).

tcf(c_769,plain,
    ( ( i3 = i_493 )
    | ( i0 = i_493 )
    | ( e_487 != e_494 ) ),
    inference(superposition,[status(thm)],[c_731,c_110]) ).

tcf(c_788,plain,
    ( ( i3 = i_493 )
    | ( i0 = i_493 )
    | ( i0 = i2 )
    | ( e_479 != e_487 ) ),
    inference(superposition,[status(thm)],[c_758,c_769]) ).

tcf(c_807,plain,
    ( ( i3 = i_493 )
    | ( i0 = i_493 )
    | ( i0 = i2 )
    | ( i0 = i3 )
    | ( e_473 != e_479 ) ),
    inference(superposition,[status(thm)],[c_261,c_788]) ).

tcf(c_825,plain,
    ( ( i3 = i_493 )
    | ( i0 = i_493 )
    | ( i0 = i2 )
    | ( i0 = i3 )
    | ( e_471 != e_473 ) ),
    inference(superposition,[status(thm)],[c_608,c_807]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWV538-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT
% 0.16/0.41  % Computer : n005.cluster.edu
% 0.16/0.41  % Model    : x86_64 x86_64
% 0.16/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41  % Memory   : 8046.5625MB
% 0.16/0.41  % OS       : Linux 6.8.0-71-generic
% 0.16/0.42  % CPULimit : 300
% 0.16/0.42  % WCLimit  : 300
% 0.16/0.42  % DateTime : Thu Sep 24 20:22:02 UTC 2026
% 0.16/0.42  % CPUTime  : 
% 0.16/0.42  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT
% 0.16/0.46  Running model finding
% 0.16/0.46  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fnt_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.48  
% 0.16/0.48  % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.48  
% 0.16/0.48  % Detected problem language: tptp
% 0.16/0.50  % Proving...
% 3.45/1.37  % SZS status Started for theBenchmark.p
% 3.45/1.37  % SZS status Satisfiable for theBenchmark.p
% 3.45/1.37  
% 3.45/1.37  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.45/1.37  
% 3.45/1.37  ------  iProver source info
% 3.45/1.37  
% 3.45/1.37  git: date: 2026-07-19 20:42:38 +0200
% 3.45/1.37  git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.45/1.37  git: non_committed_changes: false
% 3.45/1.37  
% 3.45/1.37  ------ Parsing...successful
% 3.45/1.37  
% 3.45/1.37  
% 3.45/1.37  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.45/1.37  ------ Proving...
% 3.45/1.37  ------ Problem Properties 
% 3.45/1.37  
% 3.45/1.37  
% 3.45/1.37  clauses                                 31
% 3.45/1.37  conjectures                             1
% 3.45/1.37  EPR                                     1
% 3.45/1.37  Horn                                    30
% 3.45/1.37  unary                                   30
% 3.45/1.37  binary                                  1
% 3.45/1.37  lits                                    32
% 3.45/1.37  lits eq                                 32
% 3.45/1.37  fd_pure                                 0
% 3.45/1.37  fd_pseudo                               0
% 3.45/1.37  fd_cond                                 0
% 3.45/1.37  fd_pseudo_cond                          1
% 3.45/1.37  AC symbols                              0
% 3.45/1.37  
% 3.45/1.37  ------ Schedule dynamic 5 is on 
% 3.45/1.37  
% 3.45/1.37  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.45/1.37  
% 3.45/1.37  
% 3.45/1.37  ------ 
% 3.45/1.37  Current options:
% 3.45/1.37  ------ 
% 3.45/1.37  
% 3.45/1.37  ------ Input Options
% 3.45/1.37  
% 3.45/1.37  --out_options                           all
% 3.45/1.37  --tptp_safe_out                         true
% 3.45/1.37  --problem_path                          ""
% 3.45/1.37  --include_path                          ""
% 3.45/1.37  --clausifier                            res/vclausify_rel
% 3.45/1.37  --clausifier_options                    --mode clausify -t 101.67 -updr off
% 3.45/1.37  --stdin                                 false
% 3.45/1.37  --proof_out                             true
% 3.45/1.37  --proof_dot_file                        ""
% 3.45/1.37  --proof_reduce_dot                      []
% 3.45/1.37  --suppress_sat_res                      false
% 3.45/1.37  --suppress_unsat_res                    true
% 3.45/1.37  --stats_out                             none
% 3.45/1.37  --stats_mem                             false
% 3.45/1.37  --theory_stats_out                      false
% 3.45/1.37  
% 3.45/1.37  ------ General Options
% 3.45/1.37  
% 3.45/1.37  --fof                                   false
% 3.45/1.37  --time_out_real                         305.
% 3.45/1.37  --time_out_virtual                      -1.
% 3.45/1.37  --rnd_seed                              13
% 3.45/1.37  --symbol_type_check                     false
% 3.45/1.37  --clausify_out                          false
% 3.45/1.37  --sig_cnt_out                           false
% 3.45/1.37  --trig_cnt_out                          false
% 3.45/1.37  --trig_cnt_out_tolerance                1.
% 3.45/1.37  --trig_cnt_out_sk_spl                   false
% 3.45/1.37  --abstr_cl_out                          false
% 3.45/1.37  
% 3.45/1.37  ------ Interactive Mode
% 3.45/1.37  
% 3.45/1.37  --interactive_mode                      false
% 3.45/1.37  --external_ip_address                   ""
% 3.45/1.37  --external_port                         0
% 3.45/1.37  
% 3.45/1.37  ------ Global Options
% 3.45/1.37  
% 3.45/1.37  --schedule                              default
% 3.45/1.37  --add_important_lit                     false
% 3.45/1.37  --prop_solver_per_cl                    500
% 3.45/1.37  --subs_bck_mult                         8
% 3.45/1.37  --min_unsat_core                        false
% 3.45/1.37  --soft_assumptions                      false
% 3.45/1.37  --soft_lemma_size                       3
% 3.45/1.37  --prop_impl_unit_size                   0
% 3.45/1.37  --prop_impl_unit                        []
% 3.45/1.37  --share_sel_clauses                     true
% 3.45/1.37  --reset_solvers                         false
% 3.45/1.37  --bc_imp_inh                            [conj_cone]
% 3.45/1.37  --conj_cone_tolerance                   3.
% 3.45/1.37  --extra_neg_conj                        none
% 3.45/1.37  --large_theory_mode                     true
% 3.45/1.37  --prolific_symb_bound                   200
% 3.45/1.37  --lt_threshold                          2000
% 3.45/1.37  --clause_weak_htbl                      true
% 3.45/1.37  --gc_record_bc_elim                     false
% 3.45/1.37  
% 3.45/1.37  ------ Preprocessing Options
% 3.45/1.37  
% 3.45/1.37  --preprocessing_flag                    false
% 3.45/1.37  --time_out_prep_mult                    0.1
% 3.45/1.37  --splitting_mode                        input
% 3.45/1.37  --splitting_grd                         true
% 3.45/1.37  --splitting_cvd                         false
% 3.45/1.37  --splitting_cvd_svl                     false
% 3.45/1.37  --splitting_nvd                         32
% 3.45/1.37  --sub_typing                            false
% 3.45/1.37  --prep_eq_flat_conj                     false
% 3.45/1.37  --prep_ineq_split                       false
% 3.45/1.37  --prep_eq_flat_all_gr                   false
% 3.45/1.37  --prep_gs_sim                           true
% 3.45/1.37  --prep_unflatten                        true
% 3.45/1.37  --prep_res_sim                          true
% 3.45/1.37  --prep_sup_sim_all                      true
% 3.45/1.37  --prep_sup_sim_sup                      false
% 3.45/1.37  --prep_upred                            true
% 3.45/1.37  --prep_well_definedness                 true
% 3.45/1.37  --prep_sem_filter                       exhaustive
% 3.45/1.37  --prep_sem_filter_out                   false
% 3.45/1.37  --pred_elim                             true
% 3.45/1.37  --res_sim_input                         true
% 3.45/1.37  --eq_ax_congr_red                       true
% 3.45/1.37  --pure_diseq_elim                       true
% 3.45/1.37  --brand_transform                       false
% 3.45/1.37  --non_eq_to_eq                          false
% 3.45/1.37  --prep_eq_proxy                         false
% 3.45/1.37  --prep_def_merge                        true
% 3.45/1.37  --prep_def_merge_prop_impl              false
% 3.45/1.37  --prep_def_merge_mbd                    true
% 3.45/1.37  --prep_def_merge_tr_red                 false
% 3.45/1.37  --prep_def_merge_tr_cl                  false
% 3.45/1.37  --smt_preprocessing                     false
% 3.45/1.37  --smt_ac_axioms                         fast
% 3.45/1.37  --preprocessed_out                      false
% 3.45/1.37  --preprocessed_stats                    false
% 3.45/1.37  
% 3.45/1.37  ------ Abstraction refinement Options
% 3.45/1.37  
% 3.45/1.37  --abstr_ref                             []
% 3.45/1.37  --abstr_ref_prep                        false
% 3.45/1.37  --abstr_ref_until_sat                   false
% 3.45/1.37  --abstr_ref_sig_restrict                funpre
% 3.45/1.37  --abstr_ref_af_restrict_to_split_sk     false
% 3.45/1.37  --abstr_ref_under                       []
% 3.45/1.37  
% 3.45/1.37  ------ SAT Options
% 3.45/1.37  
% 3.45/1.37  --sat_mode                              false
% 3.45/1.37  --sat_fm_restart_options                ""
% 3.45/1.37  --sat_gr_def                            false
% 3.45/1.37  --sat_epr_types                         true
% 3.45/1.37  --sat_non_cyclic_types                  false
% 3.45/1.37  --sat_finite_models                     false
% 3.45/1.37  --sat_fm_lemmas                         false
% 3.45/1.37  --sat_fm_prep                           false
% 3.45/1.37  --sat_fm_uc_incr                        true
% 3.45/1.37  --sat_out_model                         pos
% 3.45/1.37  --sat_out_clauses                       false
% 3.45/1.37  
% 3.45/1.37  ------ QBF Options
% 3.45/1.37  
% 3.45/1.37  --qbf_mode                              false
% 3.45/1.37  --qbf_elim_univ                         false
% 3.45/1.37  --qbf_dom_inst                          none
% 3.45/1.37  --qbf_dom_pre_inst                      false
% 3.45/1.37  --qbf_sk_in                             false
% 3.45/1.37  --qbf_pred_elim                         true
% 3.45/1.37  --qbf_split                             512
% 3.45/1.37  
% 3.45/1.37  ------ BMC1 Options
% 3.45/1.37  
% 3.45/1.37  --bmc1_incremental                      false
% 3.45/1.37  --bmc1_axioms                           reachable_all
% 3.45/1.37  --bmc1_min_bound                        0
% 3.45/1.37  --bmc1_max_bound                        -1
% 3.45/1.37  --bmc1_max_bound_default                -1
% 3.45/1.37  --bmc1_symbol_reachability              true
% 3.45/1.37  --bmc1_property_lemmas                  false
% 3.45/1.37  --bmc1_k_induction                      false
% 3.45/1.37  --bmc1_non_equiv_states                 false
% 3.45/1.37  --bmc1_deadlock                         false
% 3.45/1.37  --bmc1_ucm                              false
% 3.45/1.37  --bmc1_add_unsat_core                   none
% 3.45/1.37  --bmc1_unsat_core_children              false
% 3.45/1.37  --bmc1_unsat_core_extrapolate_axioms    false
% 3.45/1.37  --bmc1_out_stat                         full
% 3.45/1.37  --bmc1_ground_init                      false
% 3.45/1.37  --bmc1_pre_inst_next_state              false
% 3.45/1.37  --bmc1_pre_inst_state                   false
% 3.45/1.37  --bmc1_pre_inst_reach_state             false
% 3.45/1.37  --bmc1_out_unsat_core                   false
% 3.45/1.37  --bmc1_aig_witness_out                  false
% 3.45/1.37  --bmc1_verbose                          false
% 3.45/1.37  --bmc1_dump_clauses_tptp                false
% 3.45/1.37  --bmc1_dump_unsat_core_tptp             false
% 3.45/1.37  --bmc1_dump_file                        -
% 3.45/1.37  --bmc1_ucm_expand_uc_limit              128
% 3.45/1.37  --bmc1_ucm_n_expand_iterations          6
% 3.45/1.37  --bmc1_ucm_extend_mode                  1
% 3.45/1.37  --bmc1_ucm_init_mode                    2
% 3.45/1.37  --bmc1_ucm_cone_mode                    none
% 3.45/1.37  --bmc1_ucm_reduced_relation_type        0
% 3.45/1.37  --bmc1_ucm_relax_model                  4
% 3.45/1.37  --bmc1_ucm_full_tr_after_sat            true
% 3.45/1.37  --bmc1_ucm_expand_neg_assumptions       false
% 3.45/1.37  --bmc1_ucm_layered_model                none
% 3.45/1.37  --bmc1_ucm_max_lemma_size               10
% 3.45/1.37  
% 3.45/1.37  ------ AIG Options
% 3.45/1.37  
% 3.45/1.37  --aig_mode                              false
% 3.45/1.37  
% 3.45/1.37  ------ Instantiation Options
% 3.45/1.37  
% 3.45/1.37  --instantiation_flag                    true
% 3.45/1.37  --inst_sos_flag                         false
% 3.45/1.37  --inst_sos_phase                        true
% 3.45/1.37  --inst_sos_sth_lit_sel                  [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 3.45/1.37  --inst_lit_sel                          [+prop;+sign;+ground;-num_var;-num_symb]
% 3.45/1.37  --inst_lit_sel_side                     none
% 3.45/1.37  --inst_solver_per_active                1400
% 3.45/1.37  --inst_solver_calls_frac                1.
% 3.45/1.37  --inst_to_smt_solver                    true
% 3.45/1.37  --inst_passive_queue_type               priority_queues
% 3.45/1.37  --inst_passive_queues                   [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.45/1.37  --inst_passive_queues_freq              [25;2]
% 3.45/1.37  --inst_dismatching                      true
% 3.45/1.37  --inst_eager_unprocessed_to_passive     true
% 3.45/1.37  --inst_unprocessed_bound                1000
% 3.45/1.37  --inst_prop_sim_given                   true
% 3.45/1.37  --inst_prop_sim_new                     false
% 3.45/1.37  --inst_subs_new                         false
% 3.45/1.37  --inst_eq_res_simp                      false
% 3.45/1.37  --inst_subs_given                       false
% 3.45/1.37  --inst_orphan_elimination               true
% 3.45/1.37  --inst_learning_loop_flag               true
% 3.45/1.37  --inst_learning_start                   3000
% 3.45/1.37  --inst_learning_factor                  2
% 3.45/1.37  --inst_start_prop_sim_after_learn       3
% 3.45/1.37  --inst_sel_renew                        solver
% 3.45/1.37  --inst_lit_activity_flag                true
% 3.45/1.37  --inst_restr_to_given                   false
% 3.45/1.37  --inst_activity_threshold               500
% 3.45/1.37  
% 3.45/1.37  ------ Resolution Options
% 3.45/1.37  
% 3.45/1.37  --resolution_flag                       false
% 3.45/1.37  --res_lit_sel                           adaptive
% 3.45/1.37  --res_lit_sel_side                      none
% 3.45/1.37  --res_ordering                          kbo
% 3.45/1.37  --res_to_prop_solver                    active
% 3.45/1.37  --res_prop_simpl_new                    false
% 3.45/1.37  --res_prop_simpl_given                  true
% 3.45/1.37  --res_to_smt_solver                     true
% 3.45/1.37  --res_passive_queue_type                priority_queues
% 3.45/1.37  --res_passive_queues                    [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.45/1.37  --res_passive_queues_freq               [15;5]
% 3.45/1.37  --res_forward_subs                      full
% 3.45/1.37  --res_backward_subs                     full
% 3.45/1.37  --res_forward_subs_resolution           true
% 3.45/1.37  --res_backward_subs_resolution          true
% 3.45/1.37  --res_orphan_elimination                true
% 3.45/1.37  --res_time_limit                        300.
% 3.45/1.37  
% 3.45/1.37  ------ Superposition Options
% 3.45/1.37  
% 3.45/1.37  --superposition_flag                    true
% 3.45/1.37  --sup_passive_queue_type                priority_queues
% 3.45/1.37  --sup_passive_queues                    [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]]
% 3.45/1.37  --sup_passive_queues_freq               [8;1;4;4]
% 3.45/1.37  --twee_lhs_weight                       4
% 3.45/1.37  --sup_set_join                          false
% 3.45/1.37  --sup_set_join_goals                    true
% 3.45/1.37  --sup_set_join_limit                    1000
% 3.45/1.37  --demod_completeness_check              fast
% 3.45/1.37  --demod_use_ground                      true
% 3.45/1.37  --sup_unprocessed_bound                 0
% 3.45/1.37  --sup_to_prop_solver                    passive
% 3.45/1.37  --sup_prop_simpl_new                    true
% 3.45/1.37  --sup_prop_simpl_given                  true
% 3.45/1.37  --sup_fun_splitting                     false
% 3.45/1.37  --sup_iter_deepening                    2
% 3.45/1.37  --sup_restarts_mult                     12
% 3.45/1.37  --sup_score                             sim_d_gen
% 3.45/1.37  --sup_share_score_frac                  0.2
% 3.45/1.37  --sup_share_max_num_cl                  500
% 3.45/1.37  --sup_ordering                          kbo
% 3.45/1.37  --sup_symb_ordering                     invfreq
% 3.45/1.37  --sup_term_weight                       default
% 3.45/1.37  
% 3.45/1.37  ------ Superposition Simplification Setup
% 3.45/1.37  
% 3.45/1.37  --sup_indices_passive                   [LightNormIndex;FwDemodIndex]
% 3.45/1.37  --sup_full_triv                         [SMTSimplify;PropSubs]
% 3.45/1.37  --sup_full_fw                           [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 3.45/1.37  --sup_full_bw                           [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.45/1.37  --sup_immed_triv                        []
% 3.45/1.37  --sup_immed_fw_main                     [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 3.45/1.37  --sup_immed_fw_immed                    [ACNormalisation;FwUnitSubsAndRes]
% 3.45/1.37  --sup_immed_bw_main                     [BwUnitSubsAndRes;BwDemod]
% 3.45/1.37  --sup_immed_bw_immed                    [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.45/1.37  --sup_input_triv                        [Unflattening;SMTSimplify]
% 3.45/1.37  --sup_input_fw                          [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 3.45/1.37  --sup_input_bw                          [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.45/1.37  --sup_full_fixpoint                     true
% 3.45/1.37  --sup_main_fixpoint                     true
% 3.45/1.37  --sup_immed_fixpoint                    false
% 3.45/1.37  --sup_input_fixpoint                    true
% 3.45/1.37  --sup_cache_sim                         none
% 3.45/1.37  --sup_smt_interval                      500
% 3.45/1.37  --sup_bw_gjoin_interval                 0
% 3.45/1.37  
% 3.45/1.37  ------ Combination Options
% 3.45/1.37  
% 3.45/1.37  --comb_mode                             clause_based
% 3.45/1.37  --comb_inst_mult                        5
% 3.45/1.37  --comb_res_mult                         1
% 3.45/1.37  --comb_sup_mult                         8
% 3.45/1.37  --comb_sup_deep_mult                    2
% 3.45/1.37  
% 3.45/1.37  ------ Debug Options
% 3.45/1.37  
% 3.45/1.37  --dbg_backtrace                         false
% 3.45/1.37  --dbg_dump_prop_clauses                 false
% 3.45/1.37  --dbg_dump_prop_clauses_file            -
% 3.45/1.37  --dbg_out_stat                          false
% 3.45/1.37  --dbg_just_parse                        false
% 3.45/1.37  
% 3.45/1.37  
% 3.45/1.37  
% 3.45/1.37  
% 3.45/1.37  ------ Proving...
% 3.45/1.37  
% 3.45/1.37  
% 3.45/1.37  % SZS status Satisfiable for theBenchmark.p
% 3.45/1.37  
% 3.45/1.37  % SZS output start Saturation for theBenchmark.p
% See solution above
% 3.45/1.38  
% 3.45/1.38  
%------------------------------------------------------------------------------