TSTP Solution File: SYN421+1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : SYN421+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 09:47:12 EDT 2022

% Result   : CounterSatisfiable 0.46s 0.65s
% Output   : FiniteModel 0.46s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    2

% Comments : 
%------------------------------------------------------------------------------
% domain size is 2
fof(domain,fi_domain,
    ! [X] :
      ( X = "1"
      | X = "2" ) ).

fof(a449,fi_functors,
    a449 = "1" ).

fof(a450,fi_functors,
    a450 = "1" ).

fof(a451,fi_functors,
    a451 = "1" ).

fof(a452,fi_functors,
    a452 = "1" ).

fof(a453,fi_functors,
    a453 = "1" ).

fof(a454,fi_functors,
    a454 = "1" ).

fof(a455,fi_functors,
    a455 = "1" ).

fof(a456,fi_functors,
    a456 = "1" ).

fof(a457,fi_functors,
    a457 = "1" ).

fof(a458,fi_functors,
    a458 = "1" ).

fof(a459,fi_functors,
    a459 = "1" ).

fof(a460,fi_functors,
    a460 = "1" ).

fof(a461,fi_functors,
    a461 = "1" ).

fof(a462,fi_functors,
    a462 = "1" ).

fof(a463,fi_functors,
    a463 = "1" ).

fof(a464,fi_functors,
    a464 = "1" ).

fof(a465,fi_functors,
    a465 = "1" ).

fof(a466,fi_functors,
    a466 = "1" ).

fof(a467,fi_functors,
    a467 = "1" ).

fof(a468,fi_functors,
    a468 = "1" ).

fof(a469,fi_functors,
    a469 = "1" ).

fof(a470,fi_functors,
    a470 = "2" ).

fof(a471,fi_functors,
    a471 = "1" ).

fof(a472,fi_functors,
    a472 = "1" ).

fof(a473,fi_functors,
    a473 = "1" ).

fof(a474,fi_functors,
    a474 = "1" ).

fof(a475,fi_functors,
    a475 = "1" ).

fof(a476,fi_functors,
    a476 = "1" ).

fof(a477,fi_functors,
    a477 = "1" ).

fof(a478,fi_functors,
    a478 = "1" ).

fof(a479,fi_functors,
    a479 = "1" ).

fof(a480,fi_functors,
    a480 = "1" ).

fof(a481,fi_functors,
    a481 = "1" ).

fof(a482,fi_functors,
    a482 = "1" ).

fof(a483,fi_functors,
    a483 = "1" ).

fof(a484,fi_functors,
    a484 = "1" ).

fof(a485,fi_functors,
    a485 = "1" ).

fof(a486,fi_functors,
    a486 = "1" ).

fof(a487,fi_functors,
    a487 = "1" ).

fof(a488,fi_functors,
    a488 = "1" ).

fof(a489,fi_functors,
    a489 = "1" ).

fof(a490,fi_functors,
    a490 = "1" ).

fof(a491,fi_functors,
    a491 = "1" ).

fof(a492,fi_functors,
    a492 = "1" ).

fof(a493,fi_functors,
    a493 = "1" ).

fof(a494,fi_functors,
    a494 = "1" ).

fof(a495,fi_functors,
    a495 = "1" ).

fof(a496,fi_functors,
    a496 = "1" ).

fof(a497,fi_functors,
    a497 = "1" ).

fof(a498,fi_functors,
    a498 = "1" ).

fof(a499,fi_functors,
    a499 = "1" ).

fof(a500,fi_functors,
    a500 = "1" ).

fof(a501,fi_functors,
    a501 = "1" ).

fof(a502,fi_functors,
    a502 = "1" ).

fof(a503,fi_functors,
    a503 = "1" ).

fof(a504,fi_functors,
    a504 = "1" ).

fof(a505,fi_functors,
    a505 = "1" ).

fof(a506,fi_functors,
    a506 = "1" ).

fof(a507,fi_functors,
    a507 = "1" ).

fof(a508,fi_functors,
    a508 = "1" ).

fof(a509,fi_functors,
    a509 = "1" ).

fof(a510,fi_functors,
    a510 = "1" ).

fof(a511,fi_functors,
    a511 = "1" ).

fof(a512,fi_functors,
    a512 = "1" ).

fof(a513,fi_functors,
    a513 = "1" ).

fof(a514,fi_functors,
    a514 = "1" ).

fof(a515,fi_functors,
    a515 = "1" ).

fof(a516,fi_functors,
    a516 = "1" ).

fof(a517,fi_functors,
    a517 = "1" ).

fof(a518,fi_functors,
    a518 = "1" ).

fof(a519,fi_functors,
    a519 = "1" ).

fof(a520,fi_functors,
    a520 = "1" ).

fof(a521,fi_functors,
    a521 = "1" ).

fof(a522,fi_functors,
    a522 = "1" ).

fof(a523,fi_functors,
    a523 = "1" ).

fof(a524,fi_functors,
    a524 = "1" ).

fof(a525,fi_functors,
    a525 = "1" ).

fof(a526,fi_functors,
    a526 = "1" ).

fof(a527,fi_functors,
    a527 = "1" ).

fof(a528,fi_functors,
    a528 = "1" ).

fof(a529,fi_functors,
    a529 = "2" ).

fof(a530,fi_functors,
    a530 = "1" ).

fof(a531,fi_functors,
    a531 = "1" ).

fof(a532,fi_functors,
    a532 = "1" ).

fof(a533,fi_functors,
    a533 = "1" ).

fof(a534,fi_functors,
    a534 = "1" ).

fof(a535,fi_functors,
    a535 = "1" ).

fof(a536,fi_functors,
    a536 = "2" ).

fof(a537,fi_functors,
    a537 = "1" ).

fof(a538,fi_functors,
    a538 = "1" ).

fof(a539,fi_functors,
    a539 = "1" ).

fof(a540,fi_functors,
    a540 = "1" ).

fof(a541,fi_functors,
    a541 = "2" ).

fof(a542,fi_functors,
    a542 = "1" ).

fof(a543,fi_functors,
    a543 = "1" ).

fof(a544,fi_functors,
    a544 = "1" ).

fof(a545,fi_functors,
    a545 = "1" ).

fof(a546,fi_functors,
    a546 = "1" ).

fof(a547,fi_functors,
    a547 = "1" ).

fof(a548,fi_functors,
    a548 = "1" ).

fof(a549,fi_functors,
    a549 = "1" ).

fof(a550,fi_functors,
    a550 = "1" ).

fof(a551,fi_functors,
    a551 = "1" ).

fof(a552,fi_functors,
    a552 = "1" ).

fof(a553,fi_functors,
    a553 = "1" ).

fof(a554,fi_functors,
    a554 = "2" ).

fof(a555,fi_functors,
    a555 = "1" ).

fof(a556,fi_functors,
    a556 = "1" ).

fof(a557,fi_functors,
    a557 = "1" ).

fof(a558,fi_functors,
    a558 = "1" ).

fof(a559,fi_functors,
    a559 = "1" ).

fof(a560,fi_functors,
    a560 = "1" ).

fof(a561,fi_functors,
    a561 = "1" ).

fof(a562,fi_functors,
    a562 = "1" ).

fof(a563,fi_functors,
    a563 = "1" ).

fof(a564,fi_functors,
    a564 = "1" ).

fof(a565,fi_functors,
    a565 = "1" ).

fof(a566,fi_functors,
    a566 = "1" ).

fof(a567,fi_functors,
    a567 = "1" ).

fof(a568,fi_functors,
    a568 = "1" ).

fof(a569,fi_functors,
    a569 = "1" ).

fof(a570,fi_functors,
    a570 = "1" ).

fof(a571,fi_functors,
    a571 = "1" ).

fof(a572,fi_functors,
    a572 = "1" ).

fof(a573,fi_functors,
    a573 = "1" ).

fof(a574,fi_functors,
    a574 = "1" ).

fof(a575,fi_functors,
    a575 = "1" ).

fof(a576,fi_functors,
    a576 = "2" ).

fof(a577,fi_functors,
    a577 = "2" ).

fof(a578,fi_functors,
    a578 = "1" ).

fof(a579,fi_functors,
    a579 = "2" ).

fof(a580,fi_functors,
    a580 = "1" ).

fof(a581,fi_functors,
    a581 = "1" ).

fof(a582,fi_functors,
    a582 = "1" ).

fof(a583,fi_functors,
    a583 = "1" ).

fof(a584,fi_functors,
    a584 = "1" ).

fof(a585,fi_functors,
    a585 = "2" ).

fof(a586,fi_functors,
    a586 = "2" ).

fof(a587,fi_functors,
    a587 = "1" ).

fof(a588,fi_functors,
    a588 = "1" ).

fof(a589,fi_functors,
    a589 = "1" ).

fof(a590,fi_functors,
    a590 = "1" ).

fof(a591,fi_functors,
    a591 = "1" ).

fof(a592,fi_functors,
    a592 = "1" ).

fof(a593,fi_functors,
    a593 = "1" ).

fof(a594,fi_functors,
    a594 = "1" ).

fof(a595,fi_functors,
    a595 = "1" ).

fof(a596,fi_functors,
    a596 = "1" ).

fof(a597,fi_functors,
    a597 = "1" ).

fof(a598,fi_functors,
    a598 = "1" ).

fof(a599,fi_functors,
    a599 = "1" ).

fof(a600,fi_functors,
    a600 = "1" ).

fof(a601,fi_functors,
    a601 = "1" ).

fof(a602,fi_functors,
    a602 = "1" ).

fof(a603,fi_functors,
    a603 = "1" ).

fof(a604,fi_functors,
    a604 = "1" ).

fof(a605,fi_functors,
    a605 = "1" ).

fof(a606,fi_functors,
    a606 = "1" ).

fof(a607,fi_functors,
    a607 = "1" ).

fof(c10_0,fi_predicates,
    ( c10_0
  <=> $false ) ).

fof(c10_1,fi_predicates,
    ( ( c10_1("1")
    <=> $false )
    & ( c10_1("2")
    <=> $true ) ) ).

fof(c10_2,fi_predicates,
    ( ( c10_2("1","1")
    <=> $true )
    & ( c10_2("1","2")
    <=> $false )
    & ( c10_2("2","1")
    <=> $false )
    & ( c10_2("2","2")
    <=> $false ) ) ).

fof(c1_0,fi_predicates,
    ( c1_0
  <=> $true ) ).

fof(c1_1,fi_predicates,
    ( ( c1_1("1")
    <=> $true )
    & ( c1_1("2")
    <=> $false ) ) ).

fof(c1_2,fi_predicates,
    ( ( c1_2("1","1")
    <=> $false )
    & ( c1_2("1","2")
    <=> $false )
    & ( c1_2("2","1")
    <=> $false )
    & ( c1_2("2","2")
    <=> $true ) ) ).

fof(c2_0,fi_predicates,
    ( c2_0
  <=> $true ) ).

fof(c2_1,fi_predicates,
    ( ( c2_1("1")
    <=> $true )
    & ( c2_1("2")
    <=> $false ) ) ).

fof(c2_2,fi_predicates,
    ( ( c2_2("1","1")
    <=> $false )
    & ( c2_2("1","2")
    <=> $true )
    & ( c2_2("2","1")
    <=> $false )
    & ( c2_2("2","2")
    <=> $false ) ) ).

fof(c3_0,fi_predicates,
    ( c3_0
  <=> $false ) ).

fof(c3_1,fi_predicates,
    ( ( c3_1("1")
    <=> $true )
    & ( c3_1("2")
    <=> $false ) ) ).

fof(c3_2,fi_predicates,
    ( ( c3_2("1","1")
    <=> $true )
    & ( c3_2("1","2")
    <=> $false )
    & ( c3_2("2","1")
    <=> $true )
    & ( c3_2("2","2")
    <=> $false ) ) ).

fof(c4_0,fi_predicates,
    ( c4_0
  <=> $true ) ).

fof(c4_1,fi_predicates,
    ( ( c4_1("1")
    <=> $false )
    & ( c4_1("2")
    <=> $false ) ) ).

fof(c4_2,fi_predicates,
    ( ( c4_2("1","1")
    <=> $true )
    & ( c4_2("1","2")
    <=> $false )
    & ( c4_2("2","1")
    <=> $false )
    & ( c4_2("2","2")
    <=> $false ) ) ).

fof(c5_0,fi_predicates,
    ( c5_0
  <=> $true ) ).

fof(c5_1,fi_predicates,
    ( ( c5_1("1")
    <=> $true )
    & ( c5_1("2")
    <=> $true ) ) ).

fof(c5_2,fi_predicates,
    ( ( c5_2("1","1")
    <=> $true )
    & ( c5_2("1","2")
    <=> $true )
    & ( c5_2("2","1")
    <=> $false )
    & ( c5_2("2","2")
    <=> $false ) ) ).

fof(c6_0,fi_predicates,
    ( c6_0
  <=> $true ) ).

fof(c6_1,fi_predicates,
    ( ( c6_1("1")
    <=> $false )
    & ( c6_1("2")
    <=> $false ) ) ).

fof(c6_2,fi_predicates,
    ( ( c6_2("1","1")
    <=> $true )
    & ( c6_2("1","2")
    <=> $false )
    & ( c6_2("2","1")
    <=> $true )
    & ( c6_2("2","2")
    <=> $false ) ) ).

fof(c7_0,fi_predicates,
    ( c7_0
  <=> $false ) ).

fof(c7_1,fi_predicates,
    ( ( c7_1("1")
    <=> $true )
    & ( c7_1("2")
    <=> $true ) ) ).

fof(c7_2,fi_predicates,
    ( ( c7_2("1","1")
    <=> $false )
    & ( c7_2("1","2")
    <=> $true )
    & ( c7_2("2","1")
    <=> $false )
    & ( c7_2("2","2")
    <=> $false ) ) ).

fof(c8_0,fi_predicates,
    ( c8_0
  <=> $false ) ).

fof(c8_1,fi_predicates,
    ( ( c8_1("1")
    <=> $false )
    & ( c8_1("2")
    <=> $true ) ) ).

fof(c8_2,fi_predicates,
    ( ( c8_2("1","1")
    <=> $true )
    & ( c8_2("1","2")
    <=> $false )
    & ( c8_2("2","1")
    <=> $false )
    & ( c8_2("2","2")
    <=> $false ) ) ).

fof(c9_0,fi_predicates,
    ( c9_0
  <=> $false ) ).

fof(c9_1,fi_predicates,
    ( ( c9_1("1")
    <=> $true )
    & ( c9_1("2")
    <=> $false ) ) ).

fof(c9_2,fi_predicates,
    ( ( c9_2("1","1")
    <=> $true )
    & ( c9_2("1","2")
    <=> $true )
    & ( c9_2("2","1")
    <=> $true )
    & ( c9_2("2","2")
    <=> $true ) ) ).

fof(ndr1_0,fi_predicates,
    ( ndr1_0
  <=> $true ) ).

fof(ndr1_1,fi_predicates,
    ( ( ndr1_1("1")
    <=> $true )
    & ( ndr1_1("2")
    <=> $true ) ) ).

fof(sP0_co1_or,fi_predicates,
    ( sP0_co1_or
  <=> $false ) ).

fof(sP10_co1_or,fi_predicates,
    ( sP10_co1_or
  <=> $false ) ).

fof(sP11_co1_or,fi_predicates,
    ( sP11_co1_or
  <=> $false ) ).

fof(sP12_co1_or,fi_predicates,
    ( sP12_co1_or
  <=> $true ) ).

fof(sP13_co1_or,fi_predicates,
    ( sP13_co1_or
  <=> $true ) ).

fof(sP14_co1_or,fi_predicates,
    ( sP14_co1_or
  <=> $false ) ).

fof(sP15_co1_or,fi_predicates,
    ( ( sP15_co1_or("1")
    <=> $false )
    & ( sP15_co1_or("2")
    <=> $false ) ) ).

fof(sP16_co1_or,fi_predicates,
    ( sP16_co1_or
  <=> $false ) ).

fof(sP17_co1_or,fi_predicates,
    ( sP17_co1_or
  <=> $true ) ).

fof(sP18_co1_or,fi_predicates,
    ( ( sP18_co1_or("1")
    <=> $true )
    & ( sP18_co1_or("2")
    <=> $true ) ) ).

fof(sP19_co1_or,fi_predicates,
    ( ( sP19_co1_or("1")
    <=> $false )
    & ( sP19_co1_or("2")
    <=> $false ) ) ).

fof(sP1_co1_or,fi_predicates,
    ( ( sP1_co1_or("1")
    <=> $false )
    & ( sP1_co1_or("2")
    <=> $false ) ) ).

fof(sP20_co1_or,fi_predicates,
    ( sP20_co1_or
  <=> $true ) ).

fof(sP21_co1_or,fi_predicates,
    ( sP21_co1_or
  <=> $true ) ).

fof(sP22_co1_or,fi_predicates,
    ( sP22_co1_or
  <=> $false ) ).

fof(sP23_co1_or,fi_predicates,
    ( sP23_co1_or
  <=> $true ) ).

fof(sP24_co1_or,fi_predicates,
    ( sP24_co1_or
  <=> $false ) ).

fof(sP25_co1_or,fi_predicates,
    ( sP25_co1_or
  <=> $true ) ).

fof(sP26_co1_or,fi_predicates,
    ( ( sP26_co1_or("1")
    <=> $false )
    & ( sP26_co1_or("2")
    <=> $false ) ) ).

fof(sP27_co1_or,fi_predicates,
    ( sP27_co1_or
  <=> $false ) ).

fof(sP28_co1_or,fi_predicates,
    ( sP28_co1_or
  <=> $false ) ).

fof(sP29_co1_or,fi_predicates,
    ( sP29_co1_or
  <=> $false ) ).

fof(sP2_co1_or,fi_predicates,
    ( sP2_co1_or
  <=> $false ) ).

fof(sP30_co1_or,fi_predicates,
    ( sP30_co1_or
  <=> $false ) ).

fof(sP31_co1_or,fi_predicates,
    ( sP31_co1_or
  <=> $false ) ).

fof(sP32_co1_or,fi_predicates,
    ( ( sP32_co1_or("1")
    <=> $false )
    & ( sP32_co1_or("2")
    <=> $false ) ) ).

fof(sP33_co1_or,fi_predicates,
    ( sP33_co1_or
  <=> $false ) ).

fof(sP34_co1_or,fi_predicates,
    ( sP34_co1_or
  <=> $false ) ).

fof(sP35_co1_or,fi_predicates,
    ( ( sP35_co1_or("1")
    <=> $false )
    & ( sP35_co1_or("2")
    <=> $false ) ) ).

fof(sP36_co1_or,fi_predicates,
    ( sP36_co1_or
  <=> $false ) ).

fof(sP37_co1_or,fi_predicates,
    ( ( sP37_co1_or("1")
    <=> $false )
    & ( sP37_co1_or("2")
    <=> $false ) ) ).

fof(sP38_co1_or,fi_predicates,
    ( sP38_co1_or
  <=> $false ) ).

fof(sP39_co1_or,fi_predicates,
    ( sP39_co1_or
  <=> $false ) ).

fof(sP3_co1_or,fi_predicates,
    ( sP3_co1_or
  <=> $true ) ).

fof(sP40_co1_or,fi_predicates,
    ( ( sP40_co1_or("1")
    <=> $false )
    & ( sP40_co1_or("2")
    <=> $false ) ) ).

fof(sP41_co1_or,fi_predicates,
    ( ( sP41_co1_or("1")
    <=> $false )
    & ( sP41_co1_or("2")
    <=> $false ) ) ).

fof(sP42_co1_or,fi_predicates,
    ( ( sP42_co1_or("1")
    <=> $false )
    & ( sP42_co1_or("2")
    <=> $false ) ) ).

fof(sP43_co1_or,fi_predicates,
    ( sP43_co1_or
  <=> $false ) ).

fof(sP4_co1_or,fi_predicates,
    ( sP4_co1_or
  <=> $true ) ).

fof(sP5_co1_or,fi_predicates,
    ( sP5_co1_or
  <=> $false ) ).

fof(sP6_co1_or,fi_predicates,
    ( sP6_co1_or
  <=> $false ) ).

fof(sP7_co1_or,fi_predicates,
    ( sP7_co1_or
  <=> $false ) ).

fof(sP8_co1_or,fi_predicates,
    ( sP8_co1_or
  <=> $false ) ).

fof(sP9_co1_or,fi_predicates,
    ( sP9_co1_or
  <=> $false ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN421+1 : TPTP v8.1.0. Released v2.1.0.
% 0.08/0.14  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jul 12 00:43:13 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  Paradox, version 4.0, 2010-06-29.
% 0.13/0.36  +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.21/0.47  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.65  +++ BEGIN MODEL
% 0.46/0.65  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.46/0.65  +++ END MODEL
% 0.46/0.65  +++ RESULT: CounterSatisfiable
% 0.46/0.65  SZS status CounterSatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------