%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN437-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n009.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  : 300s
% DateTime : Sun May  5 12:10:15 EDT 2024

% Result   : Satisfiable 0.12s 0.35s
% Output   : FiniteModel 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SYN437-1 : TPTP v8.1.2. Released v2.1.0.
% 0.10/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32  % Computer : n009.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Fri May  3 17:06:53 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.12/0.32  % (747)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.34  % (754)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.34  % (755)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.34  % (749)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.34  % (753)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.34  % (750)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.12/0.34  % (748)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.34  % (752)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.35  Detected minimum model sizes of [1]
% 0.12/0.35  Detected maximum model sizes of [52]
% 0.12/0.35  TRYING [1]
% 0.12/0.35  Detected minimum model sizes of [1]
% 0.12/0.35  Detected maximum model sizes of [52]
% 0.12/0.35  TRYING [1]
% 0.12/0.35  TRYING [2]
% 0.12/0.35  TRYING [2]
% 0.12/0.35  Detected minimum model sizes of [1]
% 0.12/0.35  Detected maximum model sizes of [52]
% 0.12/0.35  TRYING [1]
% 0.12/0.35  Finite Model Found!
% 0.12/0.35  Detected minimum model sizes of [1]
% 0.12/0.35  Detected maximum model sizes of [52]
% 0.12/0.35  TRYING [2]
% 0.12/0.35  % SZS status Satisfiable for theBenchmark
% 0.12/0.35  TRYING [1]
% 0.12/0.35  Finite Model Found!
% 0.12/0.35  % SZS status Satisfiable for theBenchmark
% 0.12/0.35  % (755)First to succeed.
% 0.12/0.35  % (748)Also succeeded, but the first one will report.
% 0.12/0.35  % (755)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-747"
% 0.12/0.35  TRYING [2]
% 0.12/0.35  % SZS output start FiniteModel for theBenchmark
% 0.12/0.35  tff(declare_$i,type,$i:$tType).
% 0.12/0.35  tff(declare_$i1,type,a464:$i).
% 0.12/0.35  tff(declare_$i2,type,a462:$i).
% 0.12/0.35  tff(finite_domain,axiom,
% 0.12/0.35        ! [X:$i] : (
% 0.12/0.35           X = a464 | X = a462
% 0.12/0.35        ) ).
% 0.12/0.35  
% 0.12/0.35  tff(distinct_domain,axiom,
% 0.12/0.35           a464 != a462
% 0.12/0.35  ).
% 0.12/0.35  
% 0.12/0.35  tff(declare_bool,type,$o:$tType).
% 0.12/0.35  tff(declare_bool1,type,fmb_bool_1:$o).
% 0.12/0.35  tff(finite_domain,axiom,
% 0.12/0.35        ! [X:$o] : (
% 0.12/0.35           X = fmb_bool_1
% 0.12/0.35        ) ).
% 0.12/0.35  
% 0.12/0.35  tff(declare_a459,type,a459:$i).
% 0.12/0.35  tff(a459_definition,axiom,a459 = a462).
% 0.12/0.35  tff(declare_a455,type,a455:$i).
% 0.12/0.35  tff(a455_definition,axiom,a455 = a464).
% 0.12/0.35  tff(declare_a449,type,a449:$i).
% 0.12/0.35  tff(a449_definition,axiom,a449 = a464).
% 0.12/0.35  tff(declare_a446,type,a446:$i).
% 0.12/0.35  tff(a446_definition,axiom,a446 = a462).
% 0.12/0.35  tff(declare_a439,type,a439:$i).
% 0.12/0.35  tff(a439_definition,axiom,a439 = a464).
% 0.12/0.35  tff(declare_a438,type,a438:$i).
% 0.12/0.35  tff(a438_definition,axiom,a438 = a462).
% 0.12/0.35  tff(declare_a436,type,a436:$i).
% 0.12/0.35  tff(a436_definition,axiom,a436 = a462).
% 0.12/0.35  tff(declare_a435,type,a435:$i).
% 0.12/0.35  tff(a435_definition,axiom,a435 = a464).
% 0.12/0.35  tff(declare_a434,type,a434:$i).
% 0.12/0.35  tff(a434_definition,axiom,a434 = a462).
% 0.12/0.35  tff(declare_a432,type,a432:$i).
% 0.12/0.35  tff(a432_definition,axiom,a432 = a462).
% 0.12/0.35  tff(declare_a431,type,a431:$i).
% 0.12/0.35  tff(a431_definition,axiom,a431 = a464).
% 0.12/0.35  tff(declare_a429,type,a429:$i).
% 0.12/0.35  tff(a429_definition,axiom,a429 = a462).
% 0.12/0.35  tff(declare_a427,type,a427:$i).
% 0.12/0.35  tff(a427_definition,axiom,a427 = a462).
% 0.12/0.35  tff(declare_a424,type,a424:$i).
% 0.12/0.35  tff(a424_definition,axiom,a424 = a462).
% 0.12/0.35  tff(declare_a419,type,a419:$i).
% 0.12/0.35  tff(a419_definition,axiom,a419 = a464).
% 0.12/0.35  tff(declare_a417,type,a417:$i).
% 0.12/0.35  tff(a417_definition,axiom,a417 = a462).
% 0.12/0.35  tff(declare_a415,type,a415:$i).
% 0.12/0.35  tff(a415_definition,axiom,a415 = a462).
% 0.12/0.35  tff(declare_a414,type,a414:$i).
% 0.12/0.35  tff(a414_definition,axiom,a414 = a464).
% 0.12/0.35  tff(declare_a412,type,a412:$i).
% 0.12/0.35  tff(a412_definition,axiom,a412 = a464).
% 0.12/0.35  tff(declare_a410,type,a410:$i).
% 0.12/0.35  tff(a410_definition,axiom,a410 = a464).
% 0.12/0.35  tff(declare_a409,type,a409:$i).
% 0.12/0.35  tff(a409_definition,axiom,a409 = a464).
% 0.12/0.35  tff(declare_a408,type,a408:$i).
% 0.12/0.35  tff(a408_definition,axiom,a408 = a462).
% 0.12/0.35  tff(declare_a404,type,a404:$i).
% 0.12/0.35  tff(a404_definition,axiom,a404 = a464).
% 0.12/0.35  tff(declare_a461,type,a461:$i).
% 0.12/0.35  tff(a461_definition,axiom,a461 = a462).
% 0.12/0.35  tff(declare_a460,type,a460:$i).
% 0.12/0.35  tff(a460_definition,axiom,a460 = a464).
% 0.12/0.35  tff(declare_a454,type,a454:$i).
% 0.12/0.35  tff(a454_definition,axiom,a454 = a464).
% 0.12/0.35  tff(declare_a452,type,a452:$i).
% 0.12/0.35  tff(a452_definition,axiom,a452 = a464).
% 0.12/0.35  tff(declare_a450,type,a450:$i).
% 0.12/0.35  tff(a450_definition,axiom,a450 = a464).
% 0.12/0.35  tff(declare_a445,type,a445:$i).
% 0.12/0.35  tff(a445_definition,axiom,a445 = a464).
% 0.12/0.35  tff(declare_a444,type,a444:$i).
% 0.12/0.35  tff(a444_definition,axiom,a444 = a464).
% 0.12/0.35  tff(declare_a443,type,a443:$i).
% 0.12/0.35  tff(a443_definition,axiom,a443 = a462).
% 0.12/0.35  tff(declare_a441,type,a441:$i).
% 0.12/0.35  tff(a441_definition,axiom,a441 = a462).
% 0.12/0.35  tff(declare_a440,type,a440:$i).
% 0.12/0.35  tff(a440_definition,axiom,a440 = a462).
% 0.12/0.35  tff(declare_a430,type,a430:$i).
% 0.12/0.35  tff(a430_definition,axiom,a430 = a462).
% 0.12/0.35  tff(declare_a422,type,a422:$i).
% 0.12/0.35  tff(a422_definition,axiom,a422 = a464).
% 0.12/0.35  tff(declare_a421,type,a421:$i).
% 0.12/0.35  tff(a421_definition,axiom,a421 = a462).
% 0.12/0.35  tff(declare_a420,type,a420:$i).
% 0.12/0.35  tff(a420_definition,axiom,a420 = a464).
% 0.12/0.35  tff(declare_a418,type,a418:$i).
% 0.12/0.35  tff(a418_definition,axiom,a418 = a464).
% 0.12/0.35  tff(declare_a416,type,a416:$i).
% 0.12/0.35  tff(a416_definition,axiom,a416 = a462).
% 0.12/0.35  tff(declare_a413,type,a413:$i).
% 0.12/0.35  tff(a413_definition,axiom,a413 = a462).
% 0.12/0.35  tff(declare_a405,type,a405:$i).
% 0.12/0.35  tff(a405_definition,axiom,a405 = a462).
% 0.12/0.35  tff(declare_a403,type,a403:$i).
% 0.12/0.35  tff(a403_definition,axiom,a403 = a462).
% 0.12/0.35  tff(declare_a451,type,a451:$i).
% 0.12/0.35  tff(a451_definition,axiom,a451 = a462).
% 0.12/0.35  tff(declare_a448,type,a448:$i).
% 0.12/0.35  tff(a448_definition,axiom,a448 = a464).
% 0.12/0.35  tff(declare_a437,type,a437:$i).
% 0.12/0.35  tff(a437_definition,axiom,a437 = a462).
% 0.12/0.35  tff(declare_a433,type,a433:$i).
% 0.12/0.35  tff(a433_definition,axiom,a433 = a464).
% 0.12/0.35  tff(declare_a428,type,a428:$i).
% 0.12/0.35  tff(a428_definition,axiom,a428 = a462).
% 0.12/0.35  tff(declare_a411,type,a411:$i).
% 0.12/0.35  tff(a411_definition,axiom,a411 = a464).
% 0.12/0.35  tff(declare_a407,type,a407:$i).
% 0.12/0.35  tff(a407_definition,axiom,a407 = a462).
% 0.12/0.35  tff(declare_a402,type,a402:$i).
% 0.12/0.35  tff(a402_definition,axiom,a402 = a462).
% 0.12/0.35  tff(declare_hskp51,type,hskp51: $o).tff(hskp51_definition,axiom,hskp51).
% 0.12/0.35  tff(declare_ndr1_0,type,ndr1_0: $o).tff(ndr1_0_definition,axiom,~ndr1_0).
% 0.12/0.35  tff(declare_hskp50,type,hskp50: $o).tff(hskp50_definition,axiom,~hskp50).
% 0.12/0.35  tff(declare_hskp49,type,hskp49: $o).tff(hskp49_definition,axiom,hskp49).
% 0.12/0.35  tff(declare_hskp48,type,hskp48: $o).tff(hskp48_definition,axiom,~hskp48).
% 0.12/0.35  tff(declare_hskp47,type,hskp47: $o).tff(hskp47_definition,axiom,~hskp47).
% 0.12/0.35  tff(declare_hskp46,type,hskp46: $o).tff(hskp46_definition,axiom,~hskp46).
% 0.12/0.35  tff(declare_hskp45,type,hskp45: $o).tff(hskp45_definition,axiom,~hskp45).
% 0.12/0.35  tff(declare_hskp44,type,hskp44: $o).tff(hskp44_definition,axiom,~hskp44).
% 0.12/0.35  tff(declare_hskp43,type,hskp43: $o).tff(hskp43_definition,axiom,~hskp43).
% 0.12/0.35  tff(declare_hskp42,type,hskp42: $o).tff(hskp42_definition,axiom,hskp42).
% 0.12/0.35  tff(declare_hskp41,type,hskp41: $o).tff(hskp41_definition,axiom,~hskp41).
% 0.12/0.35  tff(declare_hskp40,type,hskp40: $o).tff(hskp40_definition,axiom,~hskp40).
% 0.12/0.35  tff(declare_hskp39,type,hskp39: $o).tff(hskp39_definition,axiom,hskp39).
% 0.12/0.35  tff(declare_hskp38,type,hskp38: $o).tff(hskp38_definition,axiom,~hskp38).
% 0.12/0.35  tff(declare_hskp37,type,hskp37: $o).tff(hskp37_definition,axiom,~hskp37).
% 0.12/0.35  tff(declare_hskp36,type,hskp36: $o).tff(hskp36_definition,axiom,hskp36).
% 0.12/0.35  tff(declare_hskp35,type,hskp35: $o).tff(hskp35_definition,axiom,hskp35).
% 0.12/0.35  tff(declare_hskp34,type,hskp34: $o).tff(hskp34_definition,axiom,hskp34).
% 0.12/0.35  tff(declare_hskp33,type,hskp33: $o).tff(hskp33_definition,axiom,~hskp33).
% 0.12/0.35  tff(declare_hskp32,type,hskp32: $o).tff(hskp32_definition,axiom,~hskp32).
% 0.12/0.35  tff(declare_hskp31,type,hskp31: $o).tff(hskp31_definition,axiom,~hskp31).
% 0.12/0.35  tff(declare_hskp30,type,hskp30: $o).tff(hskp30_definition,axiom,~hskp30).
% 0.12/0.35  tff(declare_hskp29,type,hskp29: $o).tff(hskp29_definition,axiom,hskp29).
% 0.12/0.35  tff(declare_hskp28,type,hskp28: $o).tff(hskp28_definition,axiom,~hskp28).
% 0.12/0.35  tff(declare_hskp27,type,hskp27: $o).tff(hskp27_definition,axiom,hskp27).
% 0.12/0.35  tff(declare_hskp26,type,hskp26: $o).tff(hskp26_definition,axiom,~hskp26).
% 0.12/0.35  tff(declare_hskp25,type,hskp25: $o).tff(hskp25_definition,axiom,hskp25).
% 0.12/0.35  tff(declare_hskp24,type,hskp24: $o).tff(hskp24_definition,axiom,~hskp24).
% 0.12/0.35  tff(declare_hskp23,type,hskp23: $o).tff(hskp23_definition,axiom,hskp23).
% 0.12/0.35  tff(declare_hskp22,type,hskp22: $o).tff(hskp22_definition,axiom,hskp22).
% 0.12/0.35  tff(declare_hskp21,type,hskp21: $o).tff(hskp21_definition,axiom,hskp21).
% 0.12/0.35  tff(declare_hskp20,type,hskp20: $o).tff(hskp20_definition,axiom,hskp20).
% 0.12/0.35  tff(declare_hskp19,type,hskp19: $o).tff(hskp19_definition,axiom,~hskp19).
% 0.12/0.35  tff(declare_hskp18,type,hskp18: $o).tff(hskp18_definition,axiom,hskp18).
% 0.12/0.35  tff(declare_hskp17,type,hskp17: $o).tff(hskp17_definition,axiom,hskp17).
% 0.12/0.35  tff(declare_hskp16,type,hskp16: $o).tff(hskp16_definition,axiom,~hskp16).
% 0.12/0.35  tff(declare_hskp15,type,hskp15: $o).tff(hskp15_definition,axiom,hskp15).
% 0.12/0.35  tff(declare_hskp14,type,hskp14: $o).tff(hskp14_definition,axiom,~hskp14).
% 0.12/0.35  tff(declare_hskp13,type,hskp13: $o).tff(hskp13_definition,axiom,hskp13).
% 0.12/0.35  tff(declare_hskp12,type,hskp12: $o).tff(hskp12_definition,axiom,hskp12).
% 0.12/0.35  tff(declare_hskp11,type,hskp11: $o).tff(hskp11_definition,axiom,hskp11).
% 0.12/0.35  tff(declare_hskp10,type,hskp10: $o).tff(hskp10_definition,axiom,~hskp10).
% 0.12/0.35  tff(declare_hskp9,type,hskp9: $o).tff(hskp9_definition,axiom,hskp9).
% 0.12/0.35  tff(declare_hskp8,type,hskp8: $o).tff(hskp8_definition,axiom,hskp8).
% 0.12/0.35  tff(declare_hskp7,type,hskp7: $o).tff(hskp7_definition,axiom,hskp7).
% 0.12/0.35  tff(declare_hskp6,type,hskp6: $o).tff(hskp6_definition,axiom,~hskp6).
% 0.12/0.35  tff(declare_hskp5,type,hskp5: $o).tff(hskp5_definition,axiom,hskp5).
% 0.12/0.35  tff(declare_hskp4,type,hskp4: $o).tff(hskp4_definition,axiom,~hskp4).
% 0.12/0.35  tff(declare_hskp3,type,hskp3: $o).tff(hskp3_definition,axiom,hskp3).
% 0.12/0.35  tff(declare_hskp2,type,hskp2: $o).tff(hskp2_definition,axiom,~hskp2).
% 0.12/0.35  tff(declare_hskp1,type,hskp1: $o).tff(hskp1_definition,axiom,hskp1).
% 0.12/0.35  tff(declare_hskp0,type,hskp0: $o).tff(hskp0_definition,axiom,~hskp0).
% 0.12/0.35  tff(declare_c1_1,type,c1_1: $i > $o ).
% 0.12/0.35  tff(predicate_c1_1,axiom,
% 0.12/0.35             ~c1_1(a464)
% 0.12/0.35           & c1_1(a462)
% 0.12/0.35  
% 0.12/0.35  ).
% 0.12/0.35  
% 0.12/0.35  tff(declare_c0_1,type,c0_1: $i > $o ).
% 0.12/0.35  tff(predicate_c0_1,axiom,
% 0.12/0.35             ~c0_1(a464)
% 0.12/0.35           & ~c0_1(a462)
% 0.12/0.35  
% 0.12/0.35  ).
% 0.12/0.35  
% 0.12/0.35  tff(declare_c3_1,type,c3_1: $i > $o ).
% 0.12/0.35  tff(predicate_c3_1,axiom,
% 0.12/0.35             c3_1(a464)
% 0.12/0.35           & ~c3_1(a462)
% 0.12/0.35  
% 0.12/0.35  ).
% 0.12/0.35  
% 0.12/0.35  tff(declare_c2_1,type,c2_1: $i > $o ).
% 0.12/0.35  tff(predicate_c2_1,axiom,
% 0.12/0.35             ~c2_1(a464)
% 0.12/0.35           & ~c2_1(a462)
% 0.12/0.35  
% 0.12/0.35  ).
% 0.12/0.35  
% 0.12/0.35  % SZS output end FiniteModel for theBenchmark
% 0.12/0.35  % (755)------------------------------
% 0.12/0.35  % (755)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.35  % (755)Termination reason: Satisfiable
% 0.12/0.35  
% 0.12/0.35  % (755)Memory used [KB]: 1037
% 0.12/0.35  % (755)Time elapsed: 0.009 s
% 0.12/0.35  % (755)Instructions burned: 18 (million)
% 0.12/0.35  % (747)Success in time 0.025 s
%------------------------------------------------------------------------------