%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN437+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 : Tue Sep 29 02:08:13 PM UTC 2026
% Result : CounterSatisfiable 0.20s 0.28s
% Output : FiniteModel 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('declare_$i2',type,
'fmb_$i_2': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' ) ) ).
tff('distinct_domain_$i',axiom,
'fmb_$i_1' != 'fmb_$i_2' ).
tff(declare_a402,type,
a402: $i ).
tff(a402_definition,axiom,
a402 = 'fmb_$i_1' ).
tff(declare_a403,type,
a403: $i ).
tff(a403_definition,axiom,
a403 = 'fmb_$i_2' ).
tff(declare_a405,type,
a405: $i ).
tff(a405_definition,axiom,
a405 = 'fmb_$i_2' ).
tff(declare_a407,type,
a407: $i ).
tff(a407_definition,axiom,
a407 = 'fmb_$i_2' ).
tff(declare_a411,type,
a411: $i ).
tff(a411_definition,axiom,
a411 = 'fmb_$i_2' ).
tff(declare_a413,type,
a413: $i ).
tff(a413_definition,axiom,
a413 = 'fmb_$i_2' ).
tff(declare_a416,type,
a416: $i ).
tff(a416_definition,axiom,
a416 = 'fmb_$i_2' ).
tff(declare_a418,type,
a418: $i ).
tff(a418_definition,axiom,
a418 = 'fmb_$i_2' ).
tff(declare_a420,type,
a420: $i ).
tff(a420_definition,axiom,
a420 = 'fmb_$i_2' ).
tff(declare_a421,type,
a421: $i ).
tff(a421_definition,axiom,
a421 = 'fmb_$i_2' ).
tff(declare_a422,type,
a422: $i ).
tff(a422_definition,axiom,
a422 = 'fmb_$i_2' ).
tff(declare_a428,type,
a428: $i ).
tff(a428_definition,axiom,
a428 = 'fmb_$i_2' ).
tff(declare_a430,type,
a430: $i ).
tff(a430_definition,axiom,
a430 = 'fmb_$i_2' ).
tff(declare_a433,type,
a433: $i ).
tff(a433_definition,axiom,
a433 = 'fmb_$i_2' ).
tff(declare_a437,type,
a437: $i ).
tff(a437_definition,axiom,
a437 = 'fmb_$i_2' ).
tff(declare_a440,type,
a440: $i ).
tff(a440_definition,axiom,
a440 = 'fmb_$i_2' ).
tff(declare_a441,type,
a441: $i ).
tff(a441_definition,axiom,
a441 = 'fmb_$i_2' ).
tff(declare_a443,type,
a443: $i ).
tff(a443_definition,axiom,
a443 = 'fmb_$i_2' ).
tff(declare_a444,type,
a444: $i ).
tff(a444_definition,axiom,
a444 = 'fmb_$i_2' ).
tff(declare_a445,type,
a445: $i ).
tff(a445_definition,axiom,
a445 = 'fmb_$i_2' ).
tff(declare_a448,type,
a448: $i ).
tff(a448_definition,axiom,
a448 = 'fmb_$i_2' ).
tff(declare_a450,type,
a450: $i ).
tff(a450_definition,axiom,
a450 = 'fmb_$i_2' ).
tff(declare_a451,type,
a451: $i ).
tff(a451_definition,axiom,
a451 = 'fmb_$i_2' ).
tff(declare_a452,type,
a452: $i ).
tff(a452_definition,axiom,
a452 = 'fmb_$i_2' ).
tff(declare_a454,type,
a454: $i ).
tff(a454_definition,axiom,
a454 = 'fmb_$i_2' ).
tff(declare_a460,type,
a460: $i ).
tff(a460_definition,axiom,
a460 = 'fmb_$i_2' ).
tff(declare_a461,type,
a461: $i ).
tff(a461_definition,axiom,
a461 = 'fmb_$i_2' ).
tff(declare_a404,type,
a404: $i ).
tff(a404_definition,axiom,
a404 = 'fmb_$i_2' ).
tff(declare_a408,type,
a408: $i ).
tff(a408_definition,axiom,
a408 = 'fmb_$i_2' ).
tff(declare_a409,type,
a409: $i ).
tff(a409_definition,axiom,
a409 = 'fmb_$i_2' ).
tff(declare_a410,type,
a410: $i ).
tff(a410_definition,axiom,
a410 = 'fmb_$i_2' ).
tff(declare_a412,type,
a412: $i ).
tff(a412_definition,axiom,
a412 = 'fmb_$i_2' ).
tff(declare_a414,type,
a414: $i ).
tff(a414_definition,axiom,
a414 = 'fmb_$i_2' ).
tff(declare_a415,type,
a415: $i ).
tff(a415_definition,axiom,
a415 = 'fmb_$i_2' ).
tff(declare_a417,type,
a417: $i ).
tff(a417_definition,axiom,
a417 = 'fmb_$i_2' ).
tff(declare_a419,type,
a419: $i ).
tff(a419_definition,axiom,
a419 = 'fmb_$i_2' ).
tff(declare_a424,type,
a424: $i ).
tff(a424_definition,axiom,
a424 = 'fmb_$i_2' ).
tff(declare_a427,type,
a427: $i ).
tff(a427_definition,axiom,
a427 = 'fmb_$i_2' ).
tff(declare_a429,type,
a429: $i ).
tff(a429_definition,axiom,
a429 = 'fmb_$i_2' ).
tff(declare_a431,type,
a431: $i ).
tff(a431_definition,axiom,
a431 = 'fmb_$i_1' ).
tff(declare_a432,type,
a432: $i ).
tff(a432_definition,axiom,
a432 = 'fmb_$i_2' ).
tff(declare_a434,type,
a434: $i ).
tff(a434_definition,axiom,
a434 = 'fmb_$i_2' ).
tff(declare_a435,type,
a435: $i ).
tff(a435_definition,axiom,
a435 = 'fmb_$i_2' ).
tff(declare_a436,type,
a436: $i ).
tff(a436_definition,axiom,
a436 = 'fmb_$i_2' ).
tff(declare_a438,type,
a438: $i ).
tff(a438_definition,axiom,
a438 = 'fmb_$i_2' ).
tff(declare_a439,type,
a439: $i ).
tff(a439_definition,axiom,
a439 = 'fmb_$i_2' ).
tff(declare_a446,type,
a446: $i ).
tff(a446_definition,axiom,
a446 = 'fmb_$i_2' ).
tff(declare_a449,type,
a449: $i ).
tff(a449_definition,axiom,
a449 = 'fmb_$i_2' ).
tff(declare_a455,type,
a455: $i ).
tff(a455_definition,axiom,
a455 = 'fmb_$i_1' ).
tff(declare_a459,type,
a459: $i ).
tff(a459_definition,axiom,
a459 = 'fmb_$i_2' ).
tff(declare_a462,type,
a462: $i ).
tff(a462_definition,axiom,
a462 = 'fmb_$i_2' ).
tff(declare_a464,type,
a464: $i ).
tff(a464_definition,axiom,
a464 = 'fmb_$i_2' ).
tff(declare_hskp0,type,
hskp0: $o ).
tff(hskp0_definition,axiom,
~ hskp0 ).
tff(declare_ndr1_0,type,
ndr1_0: $o ).
tff(ndr1_0_definition,axiom,
ndr1_0 ).
tff(declare_hskp1,type,
hskp1: $o ).
tff(hskp1_definition,axiom,
~ hskp1 ).
tff(declare_hskp2,type,
hskp2: $o ).
tff(hskp2_definition,axiom,
~ hskp2 ).
tff(declare_hskp3,type,
hskp3: $o ).
tff(hskp3_definition,axiom,
hskp3 ).
tff(declare_hskp4,type,
hskp4: $o ).
tff(hskp4_definition,axiom,
~ hskp4 ).
tff(declare_hskp5,type,
hskp5: $o ).
tff(hskp5_definition,axiom,
~ hskp5 ).
tff(declare_hskp6,type,
hskp6: $o ).
tff(hskp6_definition,axiom,
hskp6 ).
tff(declare_hskp7,type,
hskp7: $o ).
tff(hskp7_definition,axiom,
~ hskp7 ).
tff(declare_hskp8,type,
hskp8: $o ).
tff(hskp8_definition,axiom,
~ hskp8 ).
tff(declare_hskp9,type,
hskp9: $o ).
tff(hskp9_definition,axiom,
~ hskp9 ).
tff(declare_hskp10,type,
hskp10: $o ).
tff(hskp10_definition,axiom,
~ hskp10 ).
tff(declare_hskp11,type,
hskp11: $o ).
tff(hskp11_definition,axiom,
~ hskp11 ).
tff(declare_hskp12,type,
hskp12: $o ).
tff(hskp12_definition,axiom,
~ hskp12 ).
tff(declare_hskp13,type,
hskp13: $o ).
tff(hskp13_definition,axiom,
~ hskp13 ).
tff(declare_hskp14,type,
hskp14: $o ).
tff(hskp14_definition,axiom,
~ hskp14 ).
tff(declare_hskp15,type,
hskp15: $o ).
tff(hskp15_definition,axiom,
~ hskp15 ).
tff(declare_hskp16,type,
hskp16: $o ).
tff(hskp16_definition,axiom,
~ hskp16 ).
tff(declare_hskp17,type,
hskp17: $o ).
tff(hskp17_definition,axiom,
hskp17 ).
tff(declare_hskp18,type,
hskp18: $o ).
tff(hskp18_definition,axiom,
~ hskp18 ).
tff(declare_hskp19,type,
hskp19: $o ).
tff(hskp19_definition,axiom,
~ hskp19 ).
tff(declare_hskp20,type,
hskp20: $o ).
tff(hskp20_definition,axiom,
~ hskp20 ).
tff(declare_hskp21,type,
hskp21: $o ).
tff(hskp21_definition,axiom,
~ hskp21 ).
tff(declare_hskp22,type,
hskp22: $o ).
tff(hskp22_definition,axiom,
~ hskp22 ).
tff(declare_hskp23,type,
hskp23: $o ).
tff(hskp23_definition,axiom,
~ hskp23 ).
tff(declare_hskp24,type,
hskp24: $o ).
tff(hskp24_definition,axiom,
~ hskp24 ).
tff(declare_hskp25,type,
hskp25: $o ).
tff(hskp25_definition,axiom,
~ hskp25 ).
tff(declare_hskp26,type,
hskp26: $o ).
tff(hskp26_definition,axiom,
~ hskp26 ).
tff(declare_hskp27,type,
hskp27: $o ).
tff(hskp27_definition,axiom,
~ hskp27 ).
tff(declare_hskp28,type,
hskp28: $o ).
tff(hskp28_definition,axiom,
~ hskp28 ).
tff(declare_hskp29,type,
hskp29: $o ).
tff(hskp29_definition,axiom,
~ hskp29 ).
tff(declare_hskp30,type,
hskp30: $o ).
tff(hskp30_definition,axiom,
~ hskp30 ).
tff(declare_hskp31,type,
hskp31: $o ).
tff(hskp31_definition,axiom,
~ hskp31 ).
tff(declare_hskp32,type,
hskp32: $o ).
tff(hskp32_definition,axiom,
~ hskp32 ).
tff(declare_hskp33,type,
hskp33: $o ).
tff(hskp33_definition,axiom,
~ hskp33 ).
tff(declare_hskp34,type,
hskp34: $o ).
tff(hskp34_definition,axiom,
~ hskp34 ).
tff(declare_hskp35,type,
hskp35: $o ).
tff(hskp35_definition,axiom,
~ hskp35 ).
tff(declare_hskp36,type,
hskp36: $o ).
tff(hskp36_definition,axiom,
~ hskp36 ).
tff(declare_hskp37,type,
hskp37: $o ).
tff(hskp37_definition,axiom,
~ hskp37 ).
tff(declare_hskp38,type,
hskp38: $o ).
tff(hskp38_definition,axiom,
~ hskp38 ).
tff(declare_hskp39,type,
hskp39: $o ).
tff(hskp39_definition,axiom,
hskp39 ).
tff(declare_hskp40,type,
hskp40: $o ).
tff(hskp40_definition,axiom,
~ hskp40 ).
tff(declare_hskp41,type,
hskp41: $o ).
tff(hskp41_definition,axiom,
~ hskp41 ).
tff(declare_hskp42,type,
hskp42: $o ).
tff(hskp42_definition,axiom,
~ hskp42 ).
tff(declare_hskp43,type,
hskp43: $o ).
tff(hskp43_definition,axiom,
~ hskp43 ).
tff(declare_hskp44,type,
hskp44: $o ).
tff(hskp44_definition,axiom,
~ hskp44 ).
tff(declare_hskp45,type,
hskp45: $o ).
tff(hskp45_definition,axiom,
~ hskp45 ).
tff(declare_hskp46,type,
hskp46: $o ).
tff(hskp46_definition,axiom,
~ hskp46 ).
tff(declare_hskp47,type,
hskp47: $o ).
tff(hskp47_definition,axiom,
~ hskp47 ).
tff(declare_hskp48,type,
hskp48: $o ).
tff(hskp48_definition,axiom,
hskp48 ).
tff(declare_hskp49,type,
hskp49: $o ).
tff(hskp49_definition,axiom,
~ hskp49 ).
tff(declare_hskp50,type,
hskp50: $o ).
tff(hskp50_definition,axiom,
~ hskp50 ).
tff(declare_hskp51,type,
hskp51: $o ).
tff(hskp51_definition,axiom,
~ hskp51 ).
tff(declare_c3_1,type,
c3_1: $i > $o ).
tff(predicate_c3_1,axiom,
( c3_1('fmb_$i_1')
& ~ c3_1('fmb_$i_2') ) ).
tff(declare_c2_1,type,
c2_1: $i > $o ).
tff(predicate_c2_1,axiom,
( c2_1('fmb_$i_1')
& c2_1('fmb_$i_2') ) ).
tff(declare_c1_1,type,
c1_1: $i > $o ).
tff(predicate_c1_1,axiom,
( c1_1('fmb_$i_1')
& ~ c1_1('fmb_$i_2') ) ).
tff(declare_c0_1,type,
c0_1: $i > $o ).
tff(predicate_c0_1,axiom,
( ~ c0_1('fmb_$i_1')
& ~ c0_1('fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN437+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 16:00:32 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.28 % (2040858)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (2040868)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1956017712:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.28 % (2040864)% WARNING: option uhcvi not known.
% 0.20/0.28 % (2040865)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=329711336:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (2040863)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3162833828_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28 % (2040864)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3592099158:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28 % (2040866)dis+10_1_sil=32000:sp=arity:random_seed=2273639304:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28 % (2040867)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1709942226:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28 % (2040869)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2551795288:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.28 % Detected minimum model sizes of [1]
% 0.20/0.28 % Detected maximum model sizes of [52]
% 0.20/0.28 % TRYING [1]
% 0.20/0.28 % TRYING [2]
% 0.20/0.28 % Finite Model Found!
% 0.20/0.28 % SZS status CounterSatisfiable for theBenchmark
% 0.20/0.28 % (2040863) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2040858-2040863"...
% 0.20/0.28 % (2040863)...printing done.
% 0.20/0.28 % (2040868) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2040858-2040868"...
% 0.20/0.28 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.20/0.28 % (2040863)------------------------------
% 0.20/0.28 % (2040863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (2040863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (2040863)CaDiCaL version: 2.1.3
% 0.20/0.28 % (2040863)Termination reason: Satisfiable
% 0.20/0.28 % (2040863)Time elapsed: 0.009 s
% 0.20/0.28 % (2040863)Peak memory usage: 12 MB
% 0.20/0.28 % (2040863)Instructions burned: 18 (million)
% 0.20/0.28 % (2040858)Success in time 0.049 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------