%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN545+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 02:17:33 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': $i ).
tff('finite_domain_$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_a147,type,
a147: $i ).
tff(a147_definition,axiom,
a147 = 'fmb_$i_1' ).
tff(declare_a148,type,
a148: $i ).
tff(a148_definition,axiom,
a148 = 'fmb_$i_1' ).
tff(declare_a149,type,
a149: $i ).
tff(a149_definition,axiom,
a149 = 'fmb_$i_2' ).
tff(declare_a150,type,
a150: $i ).
tff(a150_definition,axiom,
a150 = 'fmb_$i_2' ).
tff(declare_a151,type,
a151: $i ).
tff(a151_definition,axiom,
a151 = 'fmb_$i_2' ).
tff(declare_a152,type,
a152: $i ).
tff(a152_definition,axiom,
a152 = 'fmb_$i_2' ).
tff(declare_a153,type,
a153: $i ).
tff(a153_definition,axiom,
a153 = 'fmb_$i_2' ).
tff(declare_a154,type,
a154: $i ).
tff(a154_definition,axiom,
a154 = 'fmb_$i_2' ).
tff(declare_a155,type,
a155: $i ).
tff(a155_definition,axiom,
a155 = 'fmb_$i_2' ).
tff(declare_a156,type,
a156: $i ).
tff(a156_definition,axiom,
a156 = 'fmb_$i_2' ).
tff(declare_a157,type,
a157: $i ).
tff(a157_definition,axiom,
a157 = 'fmb_$i_2' ).
tff(declare_a158,type,
a158: $i ).
tff(a158_definition,axiom,
a158 = 'fmb_$i_2' ).
tff(declare_a159,type,
a159: $i ).
tff(a159_definition,axiom,
a159 = 'fmb_$i_2' ).
tff(declare_a160,type,
a160: $i ).
tff(a160_definition,axiom,
a160 = 'fmb_$i_2' ).
tff(declare_a161,type,
a161: $i ).
tff(a161_definition,axiom,
a161 = 'fmb_$i_2' ).
tff(declare_a162,type,
a162: $i ).
tff(a162_definition,axiom,
a162 = 'fmb_$i_2' ).
tff(declare_a163,type,
a163: $i ).
tff(a163_definition,axiom,
a163 = 'fmb_$i_2' ).
tff(declare_a164,type,
a164: $i ).
tff(a164_definition,axiom,
a164 = 'fmb_$i_2' ).
tff(declare_a165,type,
a165: $i ).
tff(a165_definition,axiom,
a165 = 'fmb_$i_2' ).
tff(declare_a166,type,
a166: $i ).
tff(a166_definition,axiom,
a166 = 'fmb_$i_2' ).
tff(declare_a167,type,
a167: $i ).
tff(a167_definition,axiom,
a167 = 'fmb_$i_2' ).
tff(declare_a168,type,
a168: $i ).
tff(a168_definition,axiom,
a168 = 'fmb_$i_2' ).
tff(declare_a169,type,
a169: $i ).
tff(a169_definition,axiom,
a169 = 'fmb_$i_2' ).
tff(declare_a170,type,
a170: $i ).
tff(a170_definition,axiom,
a170 = 'fmb_$i_2' ).
tff(declare_a171,type,
a171: $i ).
tff(a171_definition,axiom,
a171 = 'fmb_$i_2' ).
tff(declare_a172,type,
a172: $i ).
tff(a172_definition,axiom,
a172 = 'fmb_$i_2' ).
tff(declare_a173,type,
a173: $i ).
tff(a173_definition,axiom,
a173 = 'fmb_$i_2' ).
tff(declare_a174,type,
a174: $i ).
tff(a174_definition,axiom,
a174 = 'fmb_$i_2' ).
tff(declare_a175,type,
a175: $i ).
tff(a175_definition,axiom,
a175 = 'fmb_$i_2' ).
tff(declare_a176,type,
a176: $i ).
tff(a176_definition,axiom,
a176 = 'fmb_$i_2' ).
tff(declare_a177,type,
a177: $i ).
tff(a177_definition,axiom,
a177 = 'fmb_$i_2' ).
tff(declare_a178,type,
a178: $i ).
tff(a178_definition,axiom,
a178 = 'fmb_$i_2' ).
tff(declare_a179,type,
a179: $i ).
tff(a179_definition,axiom,
a179 = 'fmb_$i_2' ).
tff(declare_a180,type,
a180: $i ).
tff(a180_definition,axiom,
a180 = 'fmb_$i_2' ).
tff(declare_a181,type,
a181: $i ).
tff(a181_definition,axiom,
a181 = 'fmb_$i_2' ).
tff(declare_a182,type,
a182: $i ).
tff(a182_definition,axiom,
a182 = 'fmb_$i_2' ).
tff(declare_a183,type,
a183: $i ).
tff(a183_definition,axiom,
a183 = 'fmb_$i_2' ).
tff(declare_a184,type,
a184: $i ).
tff(a184_definition,axiom,
a184 = 'fmb_$i_2' ).
tff(declare_a185,type,
a185: $i ).
tff(a185_definition,axiom,
a185 = 'fmb_$i_2' ).
tff(declare_a186,type,
a186: $i ).
tff(a186_definition,axiom,
a186 = 'fmb_$i_2' ).
tff(declare_a187,type,
a187: $i ).
tff(a187_definition,axiom,
a187 = 'fmb_$i_2' ).
tff(declare_a188,type,
a188: $i ).
tff(a188_definition,axiom,
a188 = 'fmb_$i_2' ).
tff(declare_a189,type,
a189: $i ).
tff(a189_definition,axiom,
a189 = 'fmb_$i_2' ).
tff(declare_a190,type,
a190: $i ).
tff(a190_definition,axiom,
a190 = 'fmb_$i_2' ).
tff(declare_a191,type,
a191: $i ).
tff(a191_definition,axiom,
a191 = 'fmb_$i_2' ).
tff(declare_a192,type,
a192: $i ).
tff(a192_definition,axiom,
a192 = 'fmb_$i_2' ).
tff(declare_a193,type,
a193: $i ).
tff(a193_definition,axiom,
a193 = 'fmb_$i_2' ).
tff(declare_a194,type,
a194: $i ).
tff(a194_definition,axiom,
a194 = 'fmb_$i_2' ).
tff(declare_a195,type,
a195: $i ).
tff(a195_definition,axiom,
a195 = 'fmb_$i_2' ).
tff(declare_a196,type,
a196: $i ).
tff(a196_definition,axiom,
a196 = 'fmb_$i_2' ).
tff(declare_a197,type,
a197: $i ).
tff(a197_definition,axiom,
a197 = 'fmb_$i_2' ).
tff(declare_a198,type,
a198: $i ).
tff(a198_definition,axiom,
a198 = 'fmb_$i_2' ).
tff(declare_a199,type,
a199: $i ).
tff(a199_definition,axiom,
a199 = 'fmb_$i_2' ).
tff(declare_a200,type,
a200: $i ).
tff(a200_definition,axiom,
a200 = 'fmb_$i_2' ).
tff(declare_a201,type,
a201: $i ).
tff(a201_definition,axiom,
a201 = 'fmb_$i_2' ).
tff(declare_a202,type,
a202: $i ).
tff(a202_definition,axiom,
a202 = 'fmb_$i_2' ).
tff(declare_a203,type,
a203: $i ).
tff(a203_definition,axiom,
a203 = 'fmb_$i_2' ).
tff(declare_a204,type,
a204: $i ).
tff(a204_definition,axiom,
a204 = 'fmb_$i_2' ).
tff(declare_a205,type,
a205: $i ).
tff(a205_definition,axiom,
a205 = 'fmb_$i_2' ).
tff(declare_a206,type,
a206: $i ).
tff(a206_definition,axiom,
a206 = 'fmb_$i_2' ).
tff(declare_a207,type,
a207: $i ).
tff(a207_definition,axiom,
a207 = 'fmb_$i_2' ).
tff(declare_a208,type,
a208: $i ).
tff(a208_definition,axiom,
a208 = 'fmb_$i_2' ).
tff(declare_a209,type,
a209: $i ).
tff(a209_definition,axiom,
a209 = 'fmb_$i_2' ).
tff(declare_a210,type,
a210: $i ).
tff(a210_definition,axiom,
a210 = 'fmb_$i_2' ).
tff(declare_a211,type,
a211: $i ).
tff(a211_definition,axiom,
a211 = 'fmb_$i_2' ).
tff(declare_a212,type,
a212: $i ).
tff(a212_definition,axiom,
a212 = 'fmb_$i_2' ).
tff(declare_a213,type,
a213: $i ).
tff(a213_definition,axiom,
a213 = 'fmb_$i_2' ).
tff(declare_a214,type,
a214: $i ).
tff(a214_definition,axiom,
a214 = 'fmb_$i_2' ).
tff(declare_a215,type,
a215: $i ).
tff(a215_definition,axiom,
a215 = 'fmb_$i_2' ).
tff(declare_a216,type,
a216: $i ).
tff(a216_definition,axiom,
a216 = 'fmb_$i_2' ).
tff(declare_a217,type,
a217: $i ).
tff(a217_definition,axiom,
a217 = 'fmb_$i_2' ).
tff(declare_a218,type,
a218: $i ).
tff(a218_definition,axiom,
a218 = 'fmb_$i_2' ).
tff(declare_a219,type,
a219: $i ).
tff(a219_definition,axiom,
a219 = 'fmb_$i_2' ).
tff(declare_a220,type,
a220: $i ).
tff(a220_definition,axiom,
a220 = 'fmb_$i_2' ).
tff(declare_a221,type,
a221: $i ).
tff(a221_definition,axiom,
a221 = 'fmb_$i_2' ).
tff(declare_a222,type,
a222: $i ).
tff(a222_definition,axiom,
a222 = 'fmb_$i_2' ).
tff(declare_a223,type,
a223: $i ).
tff(a223_definition,axiom,
a223 = 'fmb_$i_2' ).
tff(declare_a224,type,
a224: $i ).
tff(a224_definition,axiom,
a224 = 'fmb_$i_2' ).
tff(declare_a225,type,
a225: $i ).
tff(a225_definition,axiom,
a225 = 'fmb_$i_2' ).
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_2' ).
tff(declare_a228,type,
a228: $i ).
tff(a228_definition,axiom,
a228 = 'fmb_$i_2' ).
tff(declare_a229,type,
a229: $i ).
tff(a229_definition,axiom,
a229 = 'fmb_$i_2' ).
tff(declare_a230,type,
a230: $i ).
tff(a230_definition,axiom,
a230 = 'fmb_$i_2' ).
tff(declare_a231,type,
a231: $i ).
tff(a231_definition,axiom,
a231 = 'fmb_$i_2' ).
tff(declare_a232,type,
a232: $i ).
tff(a232_definition,axiom,
a232 = 'fmb_$i_2' ).
tff(declare_a233,type,
a233: $i ).
tff(a233_definition,axiom,
a233 = 'fmb_$i_2' ).
tff(declare_a234,type,
a234: $i ).
tff(a234_definition,axiom,
a234 = 'fmb_$i_2' ).
tff(declare_a235,type,
a235: $i ).
tff(a235_definition,axiom,
a235 = 'fmb_$i_2' ).
tff(declare_a236,type,
a236: $i ).
tff(a236_definition,axiom,
a236 = 'fmb_$i_2' ).
tff(declare_a237,type,
a237: $i ).
tff(a237_definition,axiom,
a237 = 'fmb_$i_2' ).
tff(declare_a238,type,
a238: $i ).
tff(a238_definition,axiom,
a238 = 'fmb_$i_2' ).
tff(declare_a239,type,
a239: $i ).
tff(a239_definition,axiom,
a239 = 'fmb_$i_2' ).
tff(declare_a240,type,
a240: $i ).
tff(a240_definition,axiom,
a240 = 'fmb_$i_2' ).
tff(declare_a241,type,
a241: $i ).
tff(a241_definition,axiom,
a241 = 'fmb_$i_2' ).
tff(declare_a242,type,
a242: $i ).
tff(a242_definition,axiom,
a242 = 'fmb_$i_2' ).
tff(declare_a243,type,
a243: $i ).
tff(a243_definition,axiom,
a243 = 'fmb_$i_2' ).
tff(declare_a244,type,
a244: $i ).
tff(a244_definition,axiom,
a244 = 'fmb_$i_2' ).
tff(declare_a245,type,
a245: $i ).
tff(a245_definition,axiom,
a245 = 'fmb_$i_2' ).
tff(declare_a246,type,
a246: $i ).
tff(a246_definition,axiom,
a246 = 'fmb_$i_2' ).
tff(declare_a247,type,
a247: $i ).
tff(a247_definition,axiom,
a247 = 'fmb_$i_2' ).
tff(declare_a248,type,
a248: $i ).
tff(a248_definition,axiom,
a248 = 'fmb_$i_2' ).
tff(declare_a249,type,
a249: $i ).
tff(a249_definition,axiom,
a249 = 'fmb_$i_2' ).
tff(declare_a250,type,
a250: $i ).
tff(a250_definition,axiom,
a250 = 'fmb_$i_2' ).
tff(declare_a251,type,
a251: $i ).
tff(a251_definition,axiom,
a251 = 'fmb_$i_2' ).
tff(declare_a252,type,
a252: $i ).
tff(a252_definition,axiom,
a252 = 'fmb_$i_2' ).
tff(declare_a253,type,
a253: $i ).
tff(a253_definition,axiom,
a253 = 'fmb_$i_2' ).
tff(declare_a254,type,
a254: $i ).
tff(a254_definition,axiom,
a254 = 'fmb_$i_2' ).
tff(declare_a255,type,
a255: $i ).
tff(a255_definition,axiom,
a255 = 'fmb_$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_2' ).
tff(declare_a258,type,
a258: $i ).
tff(a258_definition,axiom,
a258 = 'fmb_$i_2' ).
tff(declare_a259,type,
a259: $i ).
tff(a259_definition,axiom,
a259 = 'fmb_$i_2' ).
tff(declare_a260,type,
a260: $i ).
tff(a260_definition,axiom,
a260 = 'fmb_$i_2' ).
tff(declare_a261,type,
a261: $i ).
tff(a261_definition,axiom,
a261 = 'fmb_$i_2' ).
tff(declare_a262,type,
a262: $i ).
tff(a262_definition,axiom,
a262 = 'fmb_$i_2' ).
tff(declare_a263,type,
a263: $i ).
tff(a263_definition,axiom,
a263 = 'fmb_$i_2' ).
tff(declare_a264,type,
a264: $i ).
tff(a264_definition,axiom,
a264 = 'fmb_$i_1' ).
tff(declare_a265,type,
a265: $i ).
tff(a265_definition,axiom,
a265 = 'fmb_$i_2' ).
tff(declare_a266,type,
a266: $i ).
tff(a266_definition,axiom,
a266 = 'fmb_$i_2' ).
tff(declare_a267,type,
a267: $i ).
tff(a267_definition,axiom,
a267 = 'fmb_$i_2' ).
tff(declare_a268,type,
a268: $i ).
tff(a268_definition,axiom,
a268 = 'fmb_$i_2' ).
tff(declare_a269,type,
a269: $i ).
tff(a269_definition,axiom,
a269 = 'fmb_$i_2' ).
tff(declare_a270,type,
a270: $i ).
tff(a270_definition,axiom,
a270 = 'fmb_$i_2' ).
tff(declare_a271,type,
a271: $i ).
tff(a271_definition,axiom,
a271 = 'fmb_$i_2' ).
tff(declare_a272,type,
a272: $i ).
tff(a272_definition,axiom,
a272 = 'fmb_$i_2' ).
tff(declare_a273,type,
a273: $i ).
tff(a273_definition,axiom,
a273 = 'fmb_$i_2' ).
tff(declare_a274,type,
a274: $i ).
tff(a274_definition,axiom,
a274 = 'fmb_$i_1' ).
tff(declare_a275,type,
a275: $i ).
tff(a275_definition,axiom,
a275 = 'fmb_$i_2' ).
tff(declare_a276,type,
a276: $i ).
tff(a276_definition,axiom,
a276 = 'fmb_$i_2' ).
tff(declare_a277,type,
a277: $i ).
tff(a277_definition,axiom,
a277 = 'fmb_$i_1' ).
tff(declare_a278,type,
a278: $i ).
tff(a278_definition,axiom,
a278 = 'fmb_$i_2' ).
tff(declare_a279,type,
a279: $i ).
tff(a279_definition,axiom,
a279 = 'fmb_$i_1' ).
tff(declare_a280,type,
a280: $i ).
tff(a280_definition,axiom,
a280 = 'fmb_$i_2' ).
tff(declare_a281,type,
a281: $i ).
tff(a281_definition,axiom,
a281 = 'fmb_$i_2' ).
tff(declare_a282,type,
a282: $i ).
tff(a282_definition,axiom,
a282 = 'fmb_$i_1' ).
tff(declare_a283,type,
a283: $i ).
tff(a283_definition,axiom,
a283 = 'fmb_$i_2' ).
tff(declare_a284,type,
a284: $i ).
tff(a284_definition,axiom,
a284 = 'fmb_$i_2' ).
tff(declare_a285,type,
a285: $i ).
tff(a285_definition,axiom,
a285 = 'fmb_$i_2' ).
tff(declare_a286,type,
a286: $i ).
tff(a286_definition,axiom,
a286 = 'fmb_$i_2' ).
tff(declare_a287,type,
a287: $i ).
tff(a287_definition,axiom,
a287 = 'fmb_$i_2' ).
tff(declare_a288,type,
a288: $i ).
tff(a288_definition,axiom,
a288 = 'fmb_$i_2' ).
tff(declare_a289,type,
a289: $i ).
tff(a289_definition,axiom,
a289 = 'fmb_$i_2' ).
tff(declare_a290,type,
a290: $i ).
tff(a290_definition,axiom,
a290 = 'fmb_$i_2' ).
tff(declare_a291,type,
a291: $i ).
tff(a291_definition,axiom,
a291 = 'fmb_$i_2' ).
tff(declare_a292,type,
a292: $i ).
tff(a292_definition,axiom,
a292 = 'fmb_$i_2' ).
tff(declare_a293,type,
a293: $i ).
tff(a293_definition,axiom,
a293 = 'fmb_$i_2' ).
tff(declare_a294,type,
a294: $i ).
tff(a294_definition,axiom,
a294 = 'fmb_$i_1' ).
tff(declare_a295,type,
a295: $i ).
tff(a295_definition,axiom,
a295 = 'fmb_$i_2' ).
tff(declare_a296,type,
a296: $i ).
tff(a296_definition,axiom,
a296 = 'fmb_$i_2' ).
tff(declare_a297,type,
a297: $i ).
tff(a297_definition,axiom,
a297 = 'fmb_$i_2' ).
tff(declare_c3_0,type,
c3_0: $o ).
tff(c3_0_definition,axiom,
c3_0 ).
tff(declare_ndr1_0,type,
ndr1_0: $o ).
tff(ndr1_0_definition,axiom,
ndr1_0 ).
tff(declare_c8_0,type,
c8_0: $o ).
tff(c8_0_definition,axiom,
c8_0 ).
tff(declare_c1_0,type,
c1_0: $o ).
tff(c1_0_definition,axiom,
c1_0 ).
tff(declare_c2_0,type,
c2_0: $o ).
tff(c2_0_definition,axiom,
~ c2_0 ).
tff(declare_c7_0,type,
c7_0: $o ).
tff(c7_0_definition,axiom,
c7_0 ).
tff(declare_c4_0,type,
c4_0: $o ).
tff(c4_0_definition,axiom,
~ c4_0 ).
tff(declare_c5_0,type,
c5_0: $o ).
tff(c5_0_definition,axiom,
c5_0 ).
tff(declare_c6_0,type,
c6_0: $o ).
tff(c6_0_definition,axiom,
~ c6_0 ).
tff(declare_ndr1_1,type,
ndr1_1: $i > $o ).
tff(predicate_ndr1_1,axiom,
( ndr1_1('fmb_$i_1')
& ndr1_1('fmb_$i_2') ) ).
tff(declare_c3_2,type,
c3_2: ( $i * $i ) > $o ).
tff(predicate_c3_2,axiom,
( ~ c3_2('fmb_$i_1','fmb_$i_1')
& ~ c3_2('fmb_$i_1','fmb_$i_2')
& ~ c3_2('fmb_$i_2','fmb_$i_1')
& c3_2('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_c4_2,type,
c4_2: ( $i * $i ) > $o ).
tff(predicate_c4_2,axiom,
( c4_2('fmb_$i_1','fmb_$i_1')
& ~ c4_2('fmb_$i_1','fmb_$i_2')
& c4_2('fmb_$i_2','fmb_$i_1')
& ~ c4_2('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_c7_2,type,
c7_2: ( $i * $i ) > $o ).
tff(predicate_c7_2,axiom,
( ~ c7_2('fmb_$i_1','fmb_$i_1')
& ~ c7_2('fmb_$i_1','fmb_$i_2')
& c7_2('fmb_$i_2','fmb_$i_1')
& c7_2('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_c5_2,type,
c5_2: ( $i * $i ) > $o ).
tff(predicate_c5_2,axiom,
( ~ c5_2('fmb_$i_1','fmb_$i_1')
& c5_2('fmb_$i_1','fmb_$i_2')
& c5_2('fmb_$i_2','fmb_$i_1')
& ~ c5_2('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_c1_2,type,
c1_2: ( $i * $i ) > $o ).
tff(predicate_c1_2,axiom,
( c1_2('fmb_$i_1','fmb_$i_1')
& ~ c1_2('fmb_$i_1','fmb_$i_2')
& c1_2('fmb_$i_2','fmb_$i_1')
& c1_2('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_c2_2,type,
c2_2: ( $i * $i ) > $o ).
tff(predicate_c2_2,axiom,
( ~ c2_2('fmb_$i_1','fmb_$i_1')
& c2_2('fmb_$i_1','fmb_$i_2')
& c2_2('fmb_$i_2','fmb_$i_1')
& ~ c2_2('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_c8_2,type,
c8_2: ( $i * $i ) > $o ).
tff(predicate_c8_2,axiom,
( ~ c8_2('fmb_$i_1','fmb_$i_1')
& c8_2('fmb_$i_1','fmb_$i_2')
& ~ c8_2('fmb_$i_2','fmb_$i_1')
& ~ c8_2('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_c6_1,type,
c6_1: $i > $o ).
tff(predicate_c6_1,axiom,
( ~ c6_1('fmb_$i_1')
& c6_1('fmb_$i_2') ) ).
tff(declare_c8_1,type,
c8_1: $i > $o ).
tff(predicate_c8_1,axiom,
( ~ c8_1('fmb_$i_1')
& ~ c8_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_c3_1,type,
c3_1: $i > $o ).
tff(predicate_c3_1,axiom,
( ~ c3_1('fmb_$i_1')
& ~ c3_1('fmb_$i_2') ) ).
tff(declare_c5_1,type,
c5_1: $i > $o ).
tff(predicate_c5_1,axiom,
( c5_1('fmb_$i_1')
& c5_1('fmb_$i_2') ) ).
tff(declare_c4_1,type,
c4_1: $i > $o ).
tff(predicate_c4_1,axiom,
( c4_1('fmb_$i_1')
& ~ c4_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_c7_1,type,
c7_1: $i > $o ).
tff(predicate_c7_1,axiom,
( ~ c7_1('fmb_$i_1')
& ~ c7_1('fmb_$i_2') ) ).
tff(declare_c6_2,type,
c6_2: ( $i * $i ) > $o ).
tff(predicate_c6_2,axiom,
( ~ c6_2('fmb_$i_1','fmb_$i_1')
& c6_2('fmb_$i_1','fmb_$i_2')
& c6_2('fmb_$i_2','fmb_$i_1')
& c6_2('fmb_$i_2','fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN545+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.17 % Computer : n019.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 16:27:18 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.20 Running first-order model finding
% 0.06/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.27 % (4137319)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (4137324)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2925585510_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (4137325)% WARNING: option uhcvi not known.
% 0.19/0.27 % (4137325)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4202111928:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (4137326)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=825934033:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (4137327)dis+10_1_sil=32000:sp=arity:random_seed=2785963095:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (4137329)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2830241849:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (4137330)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1056561882:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % (4137328)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1057604993:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % Detected minimum model sizes of [1]
% 0.19/0.27 % Detected maximum model sizes of [151]
% 0.19/0.27 % TRYING [1]
% 0.19/0.27 % TRYING [2]
% 0.19/0.27 % Finite Model Found!
% 0.19/0.27 % SZS status CounterSatisfiable for theBenchmark
% 0.19/0.27 % (4137324) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4137319-4137324"...
% 0.19/0.27 % (4137324)...printing done.
% 0.19/0.27 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.19/0.27 % (4137324)------------------------------
% 0.19/0.27 % (4137324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (4137324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (4137324)CaDiCaL version: 2.1.3
% 0.19/0.27 % (4137324)Termination reason: Satisfiable
% 0.19/0.27 % (4137324)Time elapsed: 0.024 s
% 0.19/0.27 % (4137324)Peak memory usage: 14 MB
% 0.19/0.27 % (4137324)Instructions burned: 92 (million)
% 0.19/0.27 % (4137319)Success in time 0.056 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------