%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN434+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 : n004.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 02:07:53 PM UTC 2026
% Result : CounterSatisfiable 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_a223,type,
a223: $i ).
tff(a223_definition,axiom,
a223 = 'fmb_$i_1' ).
tff(declare_a226,type,
a226: $i ).
tff(a226_definition,axiom,
a226 = 'fmb_$i_2' ).
tff(declare_a227,type,
a227: $i ).
tff(a227_definition,axiom,
a227 = 'fmb_$i_3' ).
tff(declare_a228,type,
a228: $i ).
tff(a228_definition,axiom,
a228 = 'fmb_$i_3' ).
tff(declare_a229,type,
a229: $i ).
tff(a229_definition,axiom,
a229 = 'fmb_$i_3' ).
tff(declare_a230,type,
a230: $i ).
tff(a230_definition,axiom,
a230 = 'fmb_$i_3' ).
tff(declare_a233,type,
a233: $i ).
tff(a233_definition,axiom,
a233 = 'fmb_$i_3' ).
tff(declare_a234,type,
a234: $i ).
tff(a234_definition,axiom,
a234 = 'fmb_$i_3' ).
tff(declare_a238,type,
a238: $i ).
tff(a238_definition,axiom,
a238 = 'fmb_$i_3' ).
tff(declare_a239,type,
a239: $i ).
tff(a239_definition,axiom,
a239 = 'fmb_$i_3' ).
tff(declare_a240,type,
a240: $i ).
tff(a240_definition,axiom,
a240 = 'fmb_$i_3' ).
tff(declare_a243,type,
a243: $i ).
tff(a243_definition,axiom,
a243 = 'fmb_$i_3' ).
tff(declare_a245,type,
a245: $i ).
tff(a245_definition,axiom,
a245 = 'fmb_$i_3' ).
tff(declare_a246,type,
a246: $i ).
tff(a246_definition,axiom,
a246 = 'fmb_$i_3' ).
tff(declare_a249,type,
a249: $i ).
tff(a249_definition,axiom,
a249 = 'fmb_$i_3' ).
tff(declare_a252,type,
a252: $i ).
tff(a252_definition,axiom,
a252 = 'fmb_$i_3' ).
tff(declare_a253,type,
a253: $i ).
tff(a253_definition,axiom,
a253 = 'fmb_$i_3' ).
tff(declare_a255,type,
a255: $i ).
tff(a255_definition,axiom,
a255 = 'fmb_$i_3' ).
tff(declare_a263,type,
a263: $i ).
tff(a263_definition,axiom,
a263 = 'fmb_$i_3' ).
tff(declare_a264,type,
a264: $i ).
tff(a264_definition,axiom,
a264 = 'fmb_$i_3' ).
tff(declare_a268,type,
a268: $i ).
tff(a268_definition,axiom,
a268 = 'fmb_$i_3' ).
tff(declare_a271,type,
a271: $i ).
tff(a271_definition,axiom,
a271 = 'fmb_$i_3' ).
tff(declare_a277,type,
a277: $i ).
tff(a277_definition,axiom,
a277 = 'fmb_$i_3' ).
tff(declare_a278,type,
a278: $i ).
tff(a278_definition,axiom,
a278 = 'fmb_$i_3' ).
tff(declare_a281,type,
a281: $i ).
tff(a281_definition,axiom,
a281 = 'fmb_$i_3' ).
tff(declare_a224,type,
a224: $i ).
tff(a224_definition,axiom,
a224 = 'fmb_$i_3' ).
tff(declare_a225,type,
a225: $i ).
tff(a225_definition,axiom,
a225 = 'fmb_$i_2' ).
tff(declare_a231,type,
a231: $i ).
tff(a231_definition,axiom,
a231 = 'fmb_$i_3' ).
tff(declare_a232,type,
a232: $i ).
tff(a232_definition,axiom,
a232 = 'fmb_$i_3' ).
tff(declare_a235,type,
a235: $i ).
tff(a235_definition,axiom,
a235 = 'fmb_$i_3' ).
tff(declare_a236,type,
a236: $i ).
tff(a236_definition,axiom,
a236 = 'fmb_$i_3' ).
tff(declare_a237,type,
a237: $i ).
tff(a237_definition,axiom,
a237 = 'fmb_$i_3' ).
tff(declare_a242,type,
a242: $i ).
tff(a242_definition,axiom,
a242 = 'fmb_$i_3' ).
tff(declare_a244,type,
a244: $i ).
tff(a244_definition,axiom,
a244 = 'fmb_$i_1' ).
tff(declare_a247,type,
a247: $i ).
tff(a247_definition,axiom,
a247 = 'fmb_$i_3' ).
tff(declare_a248,type,
a248: $i ).
tff(a248_definition,axiom,
a248 = 'fmb_$i_3' ).
tff(declare_a250,type,
a250: $i ).
tff(a250_definition,axiom,
a250 = 'fmb_$i_3' ).
tff(declare_a251,type,
a251: $i ).
tff(a251_definition,axiom,
a251 = 'fmb_$i_3' ).
tff(declare_a254,type,
a254: $i ).
tff(a254_definition,axiom,
a254 = 'fmb_$i_2' ).
tff(declare_a256,type,
a256: $i ).
tff(a256_definition,axiom,
a256 = 'fmb_$i_2' ).
tff(declare_a257,type,
a257: $i ).
tff(a257_definition,axiom,
a257 = 'fmb_$i_3' ).
tff(declare_a258,type,
a258: $i ).
tff(a258_definition,axiom,
a258 = 'fmb_$i_1' ).
tff(declare_a260,type,
a260: $i ).
tff(a260_definition,axiom,
a260 = 'fmb_$i_3' ).
tff(declare_a261,type,
a261: $i ).
tff(a261_definition,axiom,
a261 = 'fmb_$i_3' ).
tff(declare_a262,type,
a262: $i ).
tff(a262_definition,axiom,
a262 = 'fmb_$i_3' ).
tff(declare_a265,type,
a265: $i ).
tff(a265_definition,axiom,
a265 = 'fmb_$i_3' ).
tff(declare_a266,type,
a266: $i ).
tff(a266_definition,axiom,
a266 = 'fmb_$i_1' ).
tff(declare_a269,type,
a269: $i ).
tff(a269_definition,axiom,
a269 = 'fmb_$i_3' ).
tff(declare_a270,type,
a270: $i ).
tff(a270_definition,axiom,
a270 = 'fmb_$i_3' ).
tff(declare_a272,type,
a272: $i ).
tff(a272_definition,axiom,
a272 = 'fmb_$i_3' ).
tff(declare_a273,type,
a273: $i ).
tff(a273_definition,axiom,
a273 = 'fmb_$i_2' ).
tff(declare_a276,type,
a276: $i ).
tff(a276_definition,axiom,
a276 = 'fmb_$i_3' ).
tff(declare_a279,type,
a279: $i ).
tff(a279_definition,axiom,
a279 = 'fmb_$i_1' ).
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_hskp52,type,
hskp52: $o ).
tff(hskp52_definition,axiom,
hskp52 ).
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_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') ) ).
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_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') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN434+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n004.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:00:52 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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 % (492316)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (492321)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3543637732_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 [53]
% 0.19/0.27 % TRYING [1]
% 0.19/0.27 % (492322)% WARNING: option uhcvi not known.
% 0.19/0.27 % TRYING [2]
% 0.19/0.27 % TRYING [3]
% 0.19/0.27 % Finite Model Found!
% 0.19/0.27 % SZS status CounterSatisfiable for theBenchmark
% 0.19/0.27 % (492321) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-492316-492321"...
% 0.19/0.27 % (492321)...printing done.
% 0.19/0.27 % (492322)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1377654778:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.19/0.27 % (492321)------------------------------
% 0.19/0.27 % (492321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (492321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (492321)CaDiCaL version: 2.1.3
% 0.19/0.27 % (492321)Termination reason: Satisfiable
% 0.19/0.27 % (492321)Time elapsed: 0.006 s
% 0.19/0.27 % (492321)Peak memory usage: 12 MB
% 0.19/0.27 % (492321)Instructions burned: 23 (million)
% 0.19/0.27 % (492316)Success in time 0.041 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------