TSTP Solution File: SYN420-1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : SYN420-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n026.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 09:47:11 EDT 2022

% Result   : Satisfiable 0.52s 0.71s
% Output   : FiniteModel 0.52s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    2

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

fof(a269,fi_functors,
    a269 = "1" ).

fof(a270,fi_functors,
    a270 = "1" ).

fof(a271,fi_functors,
    a271 = "1" ).

fof(a272,fi_functors,
    a272 = "1" ).

fof(a273,fi_functors,
    a273 = "1" ).

fof(a274,fi_functors,
    a274 = "1" ).

fof(a275,fi_functors,
    a275 = "1" ).

fof(a276,fi_functors,
    a276 = "1" ).

fof(a277,fi_functors,
    a277 = "2" ).

fof(a278,fi_functors,
    a278 = "1" ).

fof(a279,fi_functors,
    a279 = "1" ).

fof(a280,fi_functors,
    a280 = "1" ).

fof(a281,fi_functors,
    a281 = "1" ).

fof(a282,fi_functors,
    a282 = "1" ).

fof(a283,fi_functors,
    a283 = "1" ).

fof(a284,fi_functors,
    a284 = "1" ).

fof(a285,fi_functors,
    a285 = "1" ).

fof(a286,fi_functors,
    a286 = "1" ).

fof(a287,fi_functors,
    a287 = "2" ).

fof(a288,fi_functors,
    a288 = "1" ).

fof(a289,fi_functors,
    a289 = "1" ).

fof(a290,fi_functors,
    a290 = "1" ).

fof(a291,fi_functors,
    a291 = "1" ).

fof(a292,fi_functors,
    a292 = "1" ).

fof(a293,fi_functors,
    a293 = "1" ).

fof(a294,fi_functors,
    a294 = "1" ).

fof(a295,fi_functors,
    a295 = "2" ).

fof(a296,fi_functors,
    a296 = "1" ).

fof(a297,fi_functors,
    a297 = "1" ).

fof(a298,fi_functors,
    a298 = "1" ).

fof(a299,fi_functors,
    a299 = "1" ).

fof(a300,fi_functors,
    a300 = "1" ).

fof(a301,fi_functors,
    a301 = "1" ).

fof(a302,fi_functors,
    a302 = "1" ).

fof(a303,fi_functors,
    a303 = "1" ).

fof(a304,fi_functors,
    a304 = "1" ).

fof(a305,fi_functors,
    a305 = "1" ).

fof(a306,fi_functors,
    a306 = "1" ).

fof(a307,fi_functors,
    a307 = "2" ).

fof(a308,fi_functors,
    a308 = "1" ).

fof(a309,fi_functors,
    a309 = "1" ).

fof(a310,fi_functors,
    a310 = "1" ).

fof(a311,fi_functors,
    a311 = "1" ).

fof(a312,fi_functors,
    a312 = "1" ).

fof(a313,fi_functors,
    a313 = "1" ).

fof(a314,fi_functors,
    a314 = "1" ).

fof(a315,fi_functors,
    a315 = "1" ).

fof(a316,fi_functors,
    a316 = "1" ).

fof(a317,fi_functors,
    a317 = "1" ).

fof(a318,fi_functors,
    a318 = "1" ).

fof(a319,fi_functors,
    a319 = "1" ).

fof(a320,fi_functors,
    a320 = "1" ).

fof(a321,fi_functors,
    a321 = "1" ).

fof(a322,fi_functors,
    a322 = "1" ).

fof(a323,fi_functors,
    a323 = "1" ).

fof(a324,fi_functors,
    a324 = "2" ).

fof(a325,fi_functors,
    a325 = "1" ).

fof(a326,fi_functors,
    a326 = "1" ).

fof(a327,fi_functors,
    a327 = "1" ).

fof(a328,fi_functors,
    a328 = "1" ).

fof(a329,fi_functors,
    a329 = "1" ).

fof(a330,fi_functors,
    a330 = "1" ).

fof(a331,fi_functors,
    a331 = "1" ).

fof(a332,fi_functors,
    a332 = "1" ).

fof(a333,fi_functors,
    a333 = "1" ).

fof(a334,fi_functors,
    a334 = "1" ).

fof(a335,fi_functors,
    a335 = "1" ).

fof(a336,fi_functors,
    a336 = "1" ).

fof(a337,fi_functors,
    a337 = "1" ).

fof(a338,fi_functors,
    a338 = "1" ).

fof(a339,fi_functors,
    a339 = "1" ).

fof(a340,fi_functors,
    a340 = "1" ).

fof(a341,fi_functors,
    a341 = "1" ).

fof(a342,fi_functors,
    a342 = "1" ).

fof(a343,fi_functors,
    a343 = "1" ).

fof(a344,fi_functors,
    a344 = "1" ).

fof(a345,fi_functors,
    a345 = "1" ).

fof(a346,fi_functors,
    a346 = "1" ).

fof(a347,fi_functors,
    a347 = "1" ).

fof(a348,fi_functors,
    a348 = "1" ).

fof(a349,fi_functors,
    a349 = "1" ).

fof(a350,fi_functors,
    a350 = "1" ).

fof(a351,fi_functors,
    a351 = "1" ).

fof(a352,fi_functors,
    a352 = "1" ).

fof(a353,fi_functors,
    a353 = "1" ).

fof(a354,fi_functors,
    a354 = "1" ).

fof(a355,fi_functors,
    a355 = "1" ).

fof(a356,fi_functors,
    a356 = "1" ).

fof(a357,fi_functors,
    a357 = "1" ).

fof(a358,fi_functors,
    a358 = "1" ).

fof(a359,fi_functors,
    a359 = "1" ).

fof(a360,fi_functors,
    a360 = "1" ).

fof(a361,fi_functors,
    a361 = "1" ).

fof(a362,fi_functors,
    a362 = "1" ).

fof(a363,fi_functors,
    a363 = "1" ).

fof(a364,fi_functors,
    a364 = "1" ).

fof(a365,fi_functors,
    a365 = "2" ).

fof(a366,fi_functors,
    a366 = "2" ).

fof(a367,fi_functors,
    a367 = "1" ).

fof(a368,fi_functors,
    a368 = "1" ).

fof(a369,fi_functors,
    a369 = "1" ).

fof(a370,fi_functors,
    a370 = "1" ).

fof(a371,fi_functors,
    a371 = "1" ).

fof(a372,fi_functors,
    a372 = "1" ).

fof(a373,fi_functors,
    a373 = "1" ).

fof(a374,fi_functors,
    a374 = "2" ).

fof(a375,fi_functors,
    a375 = "1" ).

fof(a376,fi_functors,
    a376 = "1" ).

fof(a377,fi_functors,
    a377 = "1" ).

fof(a379,fi_functors,
    a379 = "1" ).

fof(a380,fi_functors,
    a380 = "1" ).

fof(a381,fi_functors,
    a381 = "1" ).

fof(a382,fi_functors,
    a382 = "1" ).

fof(a383,fi_functors,
    a383 = "1" ).

fof(a384,fi_functors,
    a384 = "1" ).

fof(a385,fi_functors,
    a385 = "1" ).

fof(a386,fi_functors,
    a386 = "1" ).

fof(a387,fi_functors,
    a387 = "1" ).

fof(a388,fi_functors,
    a388 = "1" ).

fof(a389,fi_functors,
    a389 = "1" ).

fof(a390,fi_functors,
    a390 = "2" ).

fof(a391,fi_functors,
    a391 = "1" ).

fof(a392,fi_functors,
    a392 = "1" ).

fof(a393,fi_functors,
    a393 = "1" ).

fof(a394,fi_functors,
    a394 = "1" ).

fof(a395,fi_functors,
    a395 = "1" ).

fof(a396,fi_functors,
    a396 = "1" ).

fof(a398,fi_functors,
    a398 = "1" ).

fof(a399,fi_functors,
    a399 = "1" ).

fof(a400,fi_functors,
    a400 = "1" ).

fof(a401,fi_functors,
    a401 = "1" ).

fof(a402,fi_functors,
    a402 = "1" ).

fof(a403,fi_functors,
    a403 = "1" ).

fof(a404,fi_functors,
    a404 = "1" ).

fof(a405,fi_functors,
    a405 = "1" ).

fof(a406,fi_functors,
    a406 = "1" ).

fof(a407,fi_functors,
    a407 = "1" ).

fof(a408,fi_functors,
    a408 = "1" ).

fof(a409,fi_functors,
    a409 = "1" ).

fof(a410,fi_functors,
    a410 = "1" ).

fof(a411,fi_functors,
    a411 = "2" ).

fof(a412,fi_functors,
    a412 = "2" ).

fof(a413,fi_functors,
    a413 = "1" ).

fof(a414,fi_functors,
    a414 = "1" ).

fof(a415,fi_functors,
    a415 = "1" ).

fof(a416,fi_functors,
    a416 = "2" ).

fof(a417,fi_functors,
    a417 = "1" ).

fof(a418,fi_functors,
    a418 = "2" ).

fof(a419,fi_functors,
    a419 = "1" ).

fof(a420,fi_functors,
    a420 = "1" ).

fof(a421,fi_functors,
    a421 = "1" ).

fof(a422,fi_functors,
    a422 = "2" ).

fof(a423,fi_functors,
    a423 = "2" ).

fof(a424,fi_functors,
    a424 = "2" ).

fof(a425,fi_functors,
    a425 = "2" ).

fof(a426,fi_functors,
    a426 = "1" ).

fof(a427,fi_functors,
    a427 = "1" ).

fof(a428,fi_functors,
    a428 = "1" ).

fof(a429,fi_functors,
    a429 = "1" ).

fof(a430,fi_functors,
    a430 = "1" ).

fof(a431,fi_functors,
    a431 = "1" ).

fof(a432,fi_functors,
    a432 = "1" ).

fof(a433,fi_functors,
    a433 = "1" ).

fof(a434,fi_functors,
    a434 = "1" ).

fof(a435,fi_functors,
    a435 = "1" ).

fof(a436,fi_functors,
    a436 = "1" ).

fof(a437,fi_functors,
    a437 = "1" ).

fof(a438,fi_functors,
    a438 = "2" ).

fof(a439,fi_functors,
    a439 = "1" ).

fof(a440,fi_functors,
    a440 = "1" ).

fof(a441,fi_functors,
    a441 = "1" ).

fof(a442,fi_functors,
    a442 = "1" ).

fof(a443,fi_functors,
    a443 = "1" ).

fof(a444,fi_functors,
    a444 = "1" ).

fof(a445,fi_functors,
    a445 = "1" ).

fof(a446,fi_functors,
    a446 = "1" ).

fof(a447,fi_functors,
    a447 = "1" ).

fof(a448,fi_functors,
    a448 = "1" ).

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

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")
    <=> $true ) ) ).

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

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

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
  <=> $false ) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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")
    <=> $false )
    & ( c9_2("2","1")
    <=> $false )
    & ( c9_2("2","2")
    <=> $false ) ) ).

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

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

fof(ssSkC0,fi_predicates,
    ( ssSkC0
  <=> $true ) ).

fof(ssSkC1,fi_predicates,
    ( ssSkC1
  <=> $true ) ).

fof(ssSkC10,fi_predicates,
    ( ssSkC10
  <=> $true ) ).

fof(ssSkC11,fi_predicates,
    ( ssSkC11
  <=> $true ) ).

fof(ssSkC12,fi_predicates,
    ( ssSkC12
  <=> $false ) ).

fof(ssSkC13,fi_predicates,
    ( ssSkC13
  <=> $true ) ).

fof(ssSkC14,fi_predicates,
    ( ssSkC14
  <=> $true ) ).

fof(ssSkC15,fi_predicates,
    ( ssSkC15
  <=> $false ) ).

fof(ssSkC16,fi_predicates,
    ( ssSkC16
  <=> $true ) ).

fof(ssSkC17,fi_predicates,
    ( ssSkC17
  <=> $true ) ).

fof(ssSkC18,fi_predicates,
    ( ssSkC18
  <=> $false ) ).

fof(ssSkC19,fi_predicates,
    ( ssSkC19
  <=> $false ) ).

fof(ssSkC2,fi_predicates,
    ( ssSkC2
  <=> $true ) ).

fof(ssSkC20,fi_predicates,
    ( ssSkC20
  <=> $true ) ).

fof(ssSkC21,fi_predicates,
    ( ssSkC21
  <=> $true ) ).

fof(ssSkC22,fi_predicates,
    ( ssSkC22
  <=> $true ) ).

fof(ssSkC23,fi_predicates,
    ( ssSkC23
  <=> $false ) ).

fof(ssSkC24,fi_predicates,
    ( ssSkC24
  <=> $true ) ).

fof(ssSkC25,fi_predicates,
    ( ssSkC25
  <=> $true ) ).

fof(ssSkC26,fi_predicates,
    ( ssSkC26
  <=> $false ) ).

fof(ssSkC27,fi_predicates,
    ( ssSkC27
  <=> $true ) ).

fof(ssSkC28,fi_predicates,
    ( ssSkC28
  <=> $false ) ).

fof(ssSkC29,fi_predicates,
    ( ssSkC29
  <=> $false ) ).

fof(ssSkC3,fi_predicates,
    ( ssSkC3
  <=> $true ) ).

fof(ssSkC30,fi_predicates,
    ( ssSkC30
  <=> $false ) ).

fof(ssSkC31,fi_predicates,
    ( ssSkC31
  <=> $false ) ).

fof(ssSkC32,fi_predicates,
    ( ssSkC32
  <=> $true ) ).

fof(ssSkC33,fi_predicates,
    ( ssSkC33
  <=> $true ) ).

fof(ssSkC34,fi_predicates,
    ( ssSkC34
  <=> $true ) ).

fof(ssSkC35,fi_predicates,
    ( ssSkC35
  <=> $false ) ).

fof(ssSkC36,fi_predicates,
    ( ssSkC36
  <=> $true ) ).

fof(ssSkC37,fi_predicates,
    ( ssSkC37
  <=> $false ) ).

fof(ssSkC38,fi_predicates,
    ( ssSkC38
  <=> $true ) ).

fof(ssSkC4,fi_predicates,
    ( ssSkC4
  <=> $true ) ).

fof(ssSkC5,fi_predicates,
    ( ssSkC5
  <=> $true ) ).

fof(ssSkC6,fi_predicates,
    ( ssSkC6
  <=> $true ) ).

fof(ssSkC7,fi_predicates,
    ( ssSkC7
  <=> $true ) ).

fof(ssSkC8,fi_predicates,
    ( ssSkC8
  <=> $true ) ).

fof(ssSkC9,fi_predicates,
    ( ssSkC9
  <=> $false ) ).

fof(ssSkP0,fi_predicates,
    ( ( ssSkP0("1")
    <=> $true )
    & ( ssSkP0("2")
    <=> $true ) ) ).

fof(ssSkP1,fi_predicates,
    ( ( ssSkP1("1")
    <=> $true )
    & ( ssSkP1("2")
    <=> $true ) ) ).

fof(ssSkP2,fi_predicates,
    ( ( ssSkP2("1")
    <=> $false )
    & ( ssSkP2("2")
    <=> $true ) ) ).

fof(ssSkP3,fi_predicates,
    ( ( ssSkP3("1")
    <=> $true )
    & ( ssSkP3("2")
    <=> $true ) ) ).

fof(ssSkP4,fi_predicates,
    ( ( ssSkP4("1")
    <=> $true )
    & ( ssSkP4("2")
    <=> $false ) ) ).

fof(ssSkP5,fi_predicates,
    ( ( ssSkP5("1")
    <=> $true )
    & ( ssSkP5("2")
    <=> $true ) ) ).

fof(ssSkP6,fi_predicates,
    ( ( ssSkP6("1")
    <=> $true )
    & ( ssSkP6("2")
    <=> $true ) ) ).

fof(ssSkP7,fi_predicates,
    ( ( ssSkP7("1")
    <=> $true )
    & ( ssSkP7("2")
    <=> $true ) ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN420-1 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.12  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.11/0.32  % Computer : n026.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Tue Jul 12 01:51:57 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  Paradox, version 4.0, 2010-06-29.
% 0.11/0.33  +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33  Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.17/0.46  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.70  +++ BEGIN MODEL
% 0.52/0.70  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.52/0.71  +++ END MODEL
% 0.52/0.71  +++ RESULT: Satisfiable
% 0.52/0.71  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------