%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN456-1 : 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 : n019.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 02:09:01 PM UTC 2026
% Result : Satisfiable 0.19s 0.27s
% Output : FiniteModel 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('declare_$i2',type,
'fmb_$i_2': $i ).
tff('declare_$i3',type,
'fmb_$i_3': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' ) ) ).
tff('distinct_domain_$i',axiom,
( ( 'fmb_$i_1' != 'fmb_$i_2' )
& ( 'fmb_$i_1' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_3' ) ) ).
tff(declare_a1032,type,
a1032: $i ).
tff(a1032_definition,axiom,
a1032 = 'fmb_$i_1' ).
tff(declare_a1028,type,
a1028: $i ).
tff(a1028_definition,axiom,
a1028 = 'fmb_$i_2' ).
tff(declare_a1019,type,
a1019: $i ).
tff(a1019_definition,axiom,
a1019 = 'fmb_$i_3' ).
tff(declare_a1009,type,
a1009: $i ).
tff(a1009_definition,axiom,
a1009 = 'fmb_$i_2' ).
tff(declare_a1059,type,
a1059: $i ).
tff(a1059_definition,axiom,
a1059 = 'fmb_$i_2' ).
tff(declare_a1058,type,
a1058: $i ).
tff(a1058_definition,axiom,
a1058 = 'fmb_$i_3' ).
tff(declare_a1051,type,
a1051: $i ).
tff(a1051_definition,axiom,
a1051 = 'fmb_$i_2' ).
tff(declare_a1045,type,
a1045: $i ).
tff(a1045_definition,axiom,
a1045 = 'fmb_$i_3' ).
tff(declare_a1040,type,
a1040: $i ).
tff(a1040_definition,axiom,
a1040 = 'fmb_$i_3' ).
tff(declare_a1037,type,
a1037: $i ).
tff(a1037_definition,axiom,
a1037 = 'fmb_$i_3' ).
tff(declare_a1025,type,
a1025: $i ).
tff(a1025_definition,axiom,
a1025 = 'fmb_$i_3' ).
tff(declare_a1021,type,
a1021: $i ).
tff(a1021_definition,axiom,
a1021 = 'fmb_$i_2' ).
tff(declare_a1017,type,
a1017: $i ).
tff(a1017_definition,axiom,
a1017 = 'fmb_$i_3' ).
tff(declare_a1016,type,
a1016: $i ).
tff(a1016_definition,axiom,
a1016 = 'fmb_$i_1' ).
tff(declare_a1012,type,
a1012: $i ).
tff(a1012_definition,axiom,
a1012 = 'fmb_$i_2' ).
tff(declare_a1008,type,
a1008: $i ).
tff(a1008_definition,axiom,
a1008 = 'fmb_$i_1' ).
tff(declare_a1007,type,
a1007: $i ).
tff(a1007_definition,axiom,
a1007 = 'fmb_$i_3' ).
tff(declare_a1004,type,
a1004: $i ).
tff(a1004_definition,axiom,
a1004 = 'fmb_$i_3' ).
tff(declare_a1003,type,
a1003: $i ).
tff(a1003_definition,axiom,
a1003 = 'fmb_$i_3' ).
tff(declare_a1002,type,
a1002: $i ).
tff(a1002_definition,axiom,
a1002 = 'fmb_$i_3' ).
tff(declare_a1000,type,
a1000: $i ).
tff(a1000_definition,axiom,
a1000 = 'fmb_$i_1' ).
tff(declare_a995,type,
a995: $i ).
tff(a995_definition,axiom,
a995 = 'fmb_$i_2' ).
tff(declare_a994,type,
a994: $i ).
tff(a994_definition,axiom,
a994 = 'fmb_$i_3' ).
tff(declare_a991,type,
a991: $i ).
tff(a991_definition,axiom,
a991 = 'fmb_$i_3' ).
tff(declare_a990,type,
a990: $i ).
tff(a990_definition,axiom,
a990 = 'fmb_$i_1' ).
tff(declare_a989,type,
a989: $i ).
tff(a989_definition,axiom,
a989 = 'fmb_$i_3' ).
tff(declare_a988,type,
a988: $i ).
tff(a988_definition,axiom,
a988 = 'fmb_$i_1' ).
tff(declare_a1015,type,
a1015: $i ).
tff(a1015_definition,axiom,
a1015 = 'fmb_$i_3' ).
tff(declare_a997,type,
a997: $i ).
tff(a997_definition,axiom,
a997 = 'fmb_$i_3' ).
tff(declare_a996,type,
a996: $i ).
tff(a996_definition,axiom,
a996 = 'fmb_$i_3' ).
tff(declare_a992,type,
a992: $i ).
tff(a992_definition,axiom,
a992 = 'fmb_$i_1' ).
tff(declare_hskp30,type,
hskp30: $o ).
tff(hskp30_definition,axiom,
~ hskp30 ).
tff(declare_ndr1_0,type,
ndr1_0: $o ).
tff(ndr1_0_definition,axiom,
ndr1_0 ).
tff(declare_hskp29,type,
hskp29: $o ).
tff(hskp29_definition,axiom,
~ hskp29 ).
tff(declare_hskp28,type,
hskp28: $o ).
tff(hskp28_definition,axiom,
hskp28 ).
tff(declare_hskp27,type,
hskp27: $o ).
tff(hskp27_definition,axiom,
hskp27 ).
tff(declare_hskp26,type,
hskp26: $o ).
tff(hskp26_definition,axiom,
hskp26 ).
tff(declare_hskp25,type,
hskp25: $o ).
tff(hskp25_definition,axiom,
~ hskp25 ).
tff(declare_hskp24,type,
hskp24: $o ).
tff(hskp24_definition,axiom,
~ hskp24 ).
tff(declare_hskp23,type,
hskp23: $o ).
tff(hskp23_definition,axiom,
~ hskp23 ).
tff(declare_hskp22,type,
hskp22: $o ).
tff(hskp22_definition,axiom,
~ hskp22 ).
tff(declare_hskp21,type,
hskp21: $o ).
tff(hskp21_definition,axiom,
~ hskp21 ).
tff(declare_hskp20,type,
hskp20: $o ).
tff(hskp20_definition,axiom,
hskp20 ).
tff(declare_hskp19,type,
hskp19: $o ).
tff(hskp19_definition,axiom,
~ hskp19 ).
tff(declare_hskp18,type,
hskp18: $o ).
tff(hskp18_definition,axiom,
~ hskp18 ).
tff(declare_hskp17,type,
hskp17: $o ).
tff(hskp17_definition,axiom,
~ hskp17 ).
tff(declare_hskp16,type,
hskp16: $o ).
tff(hskp16_definition,axiom,
~ hskp16 ).
tff(declare_hskp15,type,
hskp15: $o ).
tff(hskp15_definition,axiom,
~ hskp15 ).
tff(declare_hskp14,type,
hskp14: $o ).
tff(hskp14_definition,axiom,
hskp14 ).
tff(declare_hskp13,type,
hskp13: $o ).
tff(hskp13_definition,axiom,
~ hskp13 ).
tff(declare_hskp12,type,
hskp12: $o ).
tff(hskp12_definition,axiom,
hskp12 ).
tff(declare_hskp11,type,
hskp11: $o ).
tff(hskp11_definition,axiom,
~ hskp11 ).
tff(declare_hskp10,type,
hskp10: $o ).
tff(hskp10_definition,axiom,
~ hskp10 ).
tff(declare_hskp9,type,
hskp9: $o ).
tff(hskp9_definition,axiom,
~ hskp9 ).
tff(declare_hskp8,type,
hskp8: $o ).
tff(hskp8_definition,axiom,
~ hskp8 ).
tff(declare_hskp7,type,
hskp7: $o ).
tff(hskp7_definition,axiom,
~ hskp7 ).
tff(declare_hskp6,type,
hskp6: $o ).
tff(hskp6_definition,axiom,
hskp6 ).
tff(declare_hskp5,type,
hskp5: $o ).
tff(hskp5_definition,axiom,
~ hskp5 ).
tff(declare_hskp4,type,
hskp4: $o ).
tff(hskp4_definition,axiom,
hskp4 ).
tff(declare_hskp3,type,
hskp3: $o ).
tff(hskp3_definition,axiom,
~ hskp3 ).
tff(declare_hskp2,type,
hskp2: $o ).
tff(hskp2_definition,axiom,
~ hskp2 ).
tff(declare_hskp1,type,
hskp1: $o ).
tff(hskp1_definition,axiom,
~ hskp1 ).
tff(declare_hskp0,type,
hskp0: $o ).
tff(hskp0_definition,axiom,
hskp0 ).
tff(declare_c0_1,type,
c0_1: $i > $o ).
tff(predicate_c0_1,axiom,
( ~ c0_1('fmb_$i_1')
& c0_1('fmb_$i_2')
& ~ c0_1('fmb_$i_3') ) ).
tff(declare_c1_1,type,
c1_1: $i > $o ).
tff(predicate_c1_1,axiom,
( ~ c1_1('fmb_$i_1')
& ~ c1_1('fmb_$i_2')
& c1_1('fmb_$i_3') ) ).
tff(declare_c3_1,type,
c3_1: $i > $o ).
tff(predicate_c3_1,axiom,
( ~ c3_1('fmb_$i_1')
& c3_1('fmb_$i_2')
& c3_1('fmb_$i_3') ) ).
tff(declare_c2_1,type,
c2_1: $i > $o ).
tff(predicate_c2_1,axiom,
( c2_1('fmb_$i_1')
& c2_1('fmb_$i_2')
& c2_1('fmb_$i_3') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN456-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n019.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 16:05:48 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.19/0.27 % (4124852)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (4124857)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3414821183_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % Detected minimum model sizes of [1]
% 0.19/0.27 % Detected maximum model sizes of [31]
% 0.19/0.27 % TRYING [1]
% 0.19/0.27 % TRYING [2]
% 0.19/0.27 % (4124858)% WARNING: option uhcvi not known.
% 0.19/0.27 % TRYING [3]
% 0.19/0.27 % (4124858)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2806052606:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (4124860)dis+10_1_sil=32000:sp=arity:random_seed=2691770100:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (4124859)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=634778686:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (4124861)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2581245765:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (4124862)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1326856740:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (4124863)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1263733413:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % Finite Model Found!
% 0.19/0.27 % SZS status Satisfiable for theBenchmark
% 0.19/0.27 % (4124857) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4124852-4124857"...
% 0.19/0.27 % (4124857)...printing done.
% 0.19/0.27 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.19/0.27 % (4124857)------------------------------
% 0.19/0.27 % (4124857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (4124857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (4124857)CaDiCaL version: 2.1.3
% 0.19/0.27 % (4124857)Termination reason: Satisfiable
% 0.19/0.27 % (4124857)Time elapsed: 0.012 s
% 0.19/0.27 % (4124857)Peak memory usage: 11 MB
% 0.19/0.27 % (4124857)Instructions burned: 37 (million)
% 0.19/0.27 % (4124852)Success in time 0.042 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------