%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN420+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 01:50:34 PM UTC 2026
% Result : CounterSatisfiable 3.02s 1.10s
% Output : Saturation 3.81s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u879,negated_conjecture,
~ c2_0 ).
cnf(u884,negated_conjecture,
c8_0 ).
cnf(u888,negated_conjecture,
~ ndr1_1(a448) ).
cnf(u896,negated_conjecture,
~ c2_1(a448) ).
cnf(u901,negated_conjecture,
c10_1(a448) ).
cnf(u906,negated_conjecture,
ndr1_0 ).
cnf(u911,negated_conjecture,
c4_0 ).
cnf(u914,negated_conjecture,
~ c6_0 ).
cnf(u919,negated_conjecture,
~ c5_0 ).
cnf(u936,negated_conjecture,
c3_0 ).
cnf(u944,negated_conjecture,
~ c7_0 ).
cnf(u961,negated_conjecture,
( ~ c1_1(X145)
| ~ c7_1(X145)
| c8_1(X145) ) ).
cnf(u975,negated_conjecture,
sP1 ).
cnf(u978,negated_conjecture,
~ sP2 ).
cnf(u982,negated_conjecture,
ndr1_1(a441) ).
cnf(u1014,negated_conjecture,
( ~ c1_2(X139,X140)
| ~ c4_1(X139)
| c1_1(X139)
| ~ ndr1_1(X139)
| ~ c10_2(X139,X140)
| c4_2(X139,X140) ) ).
cnf(u1043,negated_conjecture,
~ sP3 ).
cnf(u1048,negated_conjecture,
~ c6_1(a434) ).
cnf(u1053,negated_conjecture,
~ c1_2(a434,a435) ).
cnf(u1058,negated_conjecture,
c4_2(a434,a435) ).
cnf(u1063,negated_conjecture,
c9_2(a434,a435) ).
cnf(u1068,negated_conjecture,
ndr1_1(a434) ).
cnf(u1073,negated_conjecture,
c7_1(a434) ).
cnf(u1090,negated_conjecture,
~ c10_0 ).
cnf(u1094,negated_conjecture,
c9_0 ).
cnf(u1124,negated_conjecture,
~ sP4 ).
cnf(u1128,negated_conjecture,
( ~ c10_2(X130,a430)
| ~ c4_1(X130)
| c5_1(X130) ) ).
cnf(u1135,negated_conjecture,
( c2_2(X130,a430)
| ~ c4_1(X130)
| c5_1(X130) ) ).
cnf(u1139,negated_conjecture,
( c6_2(X130,a430)
| ~ c4_1(X130)
| c5_1(X130) ) ).
cnf(u1143,negated_conjecture,
( ~ c4_1(X130)
| ndr1_1(X130)
| c5_1(X130) ) ).
cnf(u1148,negated_conjecture,
~ sP5 ).
cnf(u1152,negated_conjecture,
~ sP6 ).
cnf(u1156,negated_conjecture,
ndr1_1(a427) ).
cnf(u1160,negated_conjecture,
( ~ c1_2(a427,X128)
| ~ c10_2(a427,X128)
| c3_2(a427,X128) ) ).
cnf(u1164,negated_conjecture,
( ~ c8_2(a427,X127)
| c10_2(a427,X127)
| ~ c6_2(a427,X127) ) ).
cnf(u1169,negated_conjecture,
~ c7_1(a427) ).
cnf(u1191,negated_conjecture,
c7_2(a424,a425) ).
cnf(u1194,negated_conjecture,
~ sP7 ).
cnf(u1200,negated_conjecture,
~ c5_2(a424,a425) ).
cnf(u1205,negated_conjecture,
ndr1_1(a424) ).
cnf(u1210,negated_conjecture,
~ c5_1(a424) ).
cnf(u1246,negated_conjecture,
( ~ c5_2(X124,X125)
| ~ c9_1(X124)
| ~ c1_2(X124,a419)
| ~ ndr1_1(X124)
| c6_2(X124,X125)
| c1_2(X124,X125) ) ).
cnf(u1250,negated_conjecture,
( ~ c5_2(X124,a419)
| ~ c9_1(X124)
| ~ c5_2(X124,X125)
| ~ ndr1_1(X124)
| c6_2(X124,X125)
| c1_2(X124,X125) ) ).
cnf(u1254,negated_conjecture,
~ sP8 ).
cnf(u1258,negated_conjecture,
ndr1_1(a414) ).
cnf(u1262,negated_conjecture,
( ~ c3_2(a414,X123)
| c1_2(a414,X123)
| c7_2(a414,X123) ) ).
cnf(u1267,negated_conjecture,
c2_2(a414,a415) ).
cnf(u1272,negated_conjecture,
~ c8_2(a414,a415) ).
cnf(u1277,negated_conjecture,
c6_2(a414,a415) ).
cnf(u1283,negated_conjecture,
~ c1_1(a414) ).
cnf(u1288,negated_conjecture,
( ~ c2_2(X121,X122)
| ~ ndr1_1(X121)
| ~ c10_1(X121)
| c6_2(X121,X122)
| c10_2(X121,X122)
| ~ c2_1(X121) ) ).
cnf(u1292,negated_conjecture,
~ sP10 ).
cnf(u1313,negated_conjecture,
sP11 ).
cnf(u1316,negated_conjecture,
~ sP12 ).
cnf(u1320,negated_conjecture,
c3_1(a406) ).
cnf(u1325,negated_conjecture,
ndr1_1(a406) ).
cnf(u1329,negated_conjecture,
( ~ c2_2(a406,X115)
| c9_2(a406,X115)
| c1_2(a406,X115) ) ).
cnf(u1334,negated_conjecture,
ndr1_1(a405) ).
cnf(u1338,negated_conjecture,
( ~ c10_2(a405,X114)
| c1_2(a405,X114) ) ).
cnf(u1341,negated_conjecture,
~ sP13 ).
cnf(u1345,negated_conjecture,
~ sP14 ).
cnf(u1351,negated_conjecture,
c8_1(a405) ).
cnf(u1369,negated_conjecture,
~ sP15 ).
cnf(u1423,negated_conjecture,
sP18 ).
cnf(u1426,negated_conjecture,
~ sP19 ).
cnf(u1430,negated_conjecture,
( ~ c2_2(X107,a391)
| sP16(X107)
| sP17(X107) ) ).
cnf(u1434,negated_conjecture,
( ~ c9_2(X107,a391)
| sP16(X107)
| sP17(X107) ) ).
cnf(u1438,negated_conjecture,
( ~ c1_2(X107,a391)
| sP16(X107)
| sP17(X107) ) ).
cnf(u1446,negated_conjecture,
~ sP21 ).
cnf(u1450,negated_conjecture,
( ~ c4_2(X106,a388)
| ~ c9_1(X106)
| c3_1(X106) ) ).
cnf(u1454,negated_conjecture,
( ~ c9_2(X106,a388)
| ~ c9_1(X106)
| c3_1(X106) ) ).
cnf(u1458,negated_conjecture,
( ~ c7_2(X106,a388)
| ~ c9_1(X106)
| c3_1(X106) ) ).
cnf(u1462,negated_conjecture,
( ~ c9_1(X106)
| c3_1(X106)
| ndr1_1(X106) ) ).
cnf(u1466,negated_conjecture,
~ sP22 ).
cnf(u1557,negated_conjecture,
( ~ c4_2(X99,a379)
| sP23(X99) ) ).
cnf(u1561,negated_conjecture,
( c7_2(X99,a379)
| sP23(X99) ) ).
cnf(u1565,negated_conjecture,
( c6_2(X99,a379)
| sP23(X99) ) ).
cnf(u1591,negated_conjecture,
( c3_1(X95)
| ~ c9_1(X95)
| ~ ndr1_1(X95)
| c2_2(X95,X96)
| c9_2(X95,X96)
| ~ c6_2(X95,X96) ) ).
cnf(u1597,negated_conjecture,
~ sP24 ).
cnf(u1607,negated_conjecture,
c10_1(a374) ).
cnf(u1610,negated_conjecture,
~ sP25 ).
cnf(u1616,negated_conjecture,
c8_1(a374) ).
cnf(u1621,negated_conjecture,
~ c9_1(a374) ).
cnf(u1626,negated_conjecture,
~ sP26 ).
cnf(u1630,negated_conjecture,
( ~ c6_2(X87,X89)
| c6_1(X87)
| c1_2(X87,X89)
| ~ c3_2(X87,X89)
| ~ c7_2(X87,X88)
| ~ ndr1_1(X87)
| c5_2(X87,X88)
| c4_2(X87,X88) ) ).
cnf(u1658,negated_conjecture,
~ c1_0 ).
cnf(u1662,negated_conjecture,
( ~ c5_1(X85)
| c3_1(X85) ) ).
cnf(u1724,negated_conjecture,
sP27 ).
cnf(u1739,negated_conjecture,
~ sP28 ).
cnf(u1759,negated_conjecture,
( ~ c8_2(X74,X76)
| c5_2(X74,X76)
| c10_1(X74)
| c6_2(X74,X76)
| ~ ndr1_1(X74)
| ~ c1_2(X74,X75)
| c7_2(X74,X75)
| c3_2(X74,X75) ) ).
cnf(u1762,negated_conjecture,
~ sP29 ).
cnf(u1796,negated_conjecture,
~ sP30 ).
cnf(u1817,negated_conjecture,
~ c8_1(a352) ).
cnf(u1822,negated_conjecture,
c10_1(a352) ).
cnf(u1827,negated_conjecture,
c6_2(a352,a353) ).
cnf(u1832,negated_conjecture,
~ c5_2(a352,a353) ).
cnf(u1837,negated_conjecture,
~ c2_2(a352,a353) ).
cnf(u1842,negated_conjecture,
ndr1_1(a352) ).
cnf(u1849,negated_conjecture,
c2_2(a350,a351) ).
cnf(u1854,negated_conjecture,
~ c8_2(a350,a351) ).
cnf(u1859,negated_conjecture,
c7_2(a350,a351) ).
cnf(u1864,negated_conjecture,
ndr1_1(a350) ).
cnf(u1869,negated_conjecture,
c2_1(a350) ).
cnf(u1874,negated_conjecture,
~ c3_1(a350) ).
cnf(u1908,negated_conjecture,
~ sP31 ).
cnf(u1912,negated_conjecture,
( ~ c4_2(X69,X71)
| c9_1(X69)
| ~ c6_2(X69,X71)
| ~ ndr1_1(X69)
| c8_2(X69,X70)
| c1_2(X69,X70)
| c5_2(X69,X70) ) ).
cnf(u1929,negated_conjecture,
c2_2(a343,a344) ).
cnf(u1934,negated_conjecture,
c10_2(a343,a344) ).
cnf(u1939,negated_conjecture,
~ c4_2(a343,a344) ).
cnf(u1944,negated_conjecture,
ndr1_1(a343) ).
cnf(u1949,negated_conjecture,
c5_1(a343) ).
cnf(u1954,negated_conjecture,
~ c8_1(a343) ).
cnf(u1962,negated_conjecture,
~ sP32 ).
cnf(u1979,negated_conjecture,
~ sP33 ).
cnf(u1983,negated_conjecture,
( ~ c4_2(X67,a337)
| c8_1(X67)
| c7_1(X67) ) ).
cnf(u1987,negated_conjecture,
( ~ c8_2(X67,a337)
| c8_1(X67)
| c7_1(X67) ) ).
cnf(u1991,negated_conjecture,
( c8_1(X67)
| ndr1_1(X67)
| c7_1(X67) ) ).
cnf(u1995,negated_conjecture,
( c8_2(X66,a336)
| ~ c1_1(X66)
| ~ c10_1(X66) ) ).
cnf(u1998,negated_conjecture,
~ sP34 ).
cnf(u2003,negated_conjecture,
( ~ c1_2(X66,a336)
| ~ c1_1(X66)
| ~ c10_1(X66) ) ).
cnf(u2007,negated_conjecture,
( ~ c1_1(X66)
| ndr1_1(X66)
| ~ c10_1(X66) ) ).
cnf(u2015,negated_conjecture,
( ~ c5_2(X62,X63)
| ~ c1_1(X62)
| ~ c4_1(X62)
| ~ ndr1_1(X62)
| ~ c6_2(X62,X63)
| ~ c4_2(X62,X63) ) ).
cnf(u2023,negated_conjecture,
~ c10_1(a332) ).
cnf(u2026,negated_conjecture,
~ sP35 ).
cnf(u2031,negated_conjecture,
ndr1_1(a332) ).
cnf(u2035,negated_conjecture,
( ~ c10_2(a332,X58)
| ~ c3_2(a332,X58) ) ).
cnf(u2040,negated_conjecture,
~ c6_1(a332) ).
cnf(u2081,negated_conjecture,
( ~ c5_2(X54,X55)
| ~ ndr1_1(X54)
| ~ c1_2(X54,X55)
| ~ c4_1(X54)
| ~ c2_2(X54,X55)
| ~ c2_1(X54) ) ).
cnf(u2102,negated_conjecture,
( ~ c7_1(X52)
| ~ c9_1(X52)
| c10_1(X52) ) ).
cnf(u2109,negated_conjecture,
~ sP36 ).
cnf(u2144,negated_conjecture,
( ~ c5_2(X49,X50)
| ~ c1_1(X49)
| ~ ndr1_1(X49)
| c1_2(X49,X50)
| c8_2(X49,X50) ) ).
cnf(u2181,negated_conjecture,
~ sP37 ).
cnf(u2234,negated_conjecture,
ndr1_1(a315) ).
cnf(u2238,negated_conjecture,
( ~ c7_2(a315,X39)
| c9_2(a315,X39)
| c3_2(a315,X39) ) ).
cnf(u2241,negated_conjecture,
~ sP38 ).
cnf(u2246,negated_conjecture,
( c5_2(a315,X38)
| c1_2(a315,X38)
| c10_2(a315,X38) ) ).
cnf(u2251,negated_conjecture,
c5_1(a315) ).
cnf(u2256,negated_conjecture,
( ~ c2_2(X36,X37)
| c9_1(X36)
| c3_1(X36)
| ~ ndr1_1(X36)
| ~ c7_2(X36,X37)
| c9_2(X36,X37) ) ).
cnf(u2260,negated_conjecture,
( c2_2(X35,a312)
| c7_1(X35)
| c3_1(X35) ) ).
cnf(u2263,negated_conjecture,
~ sP39 ).
cnf(u2267,negated_conjecture,
~ sP40 ).
cnf(u2272,negated_conjecture,
( ~ c4_2(X35,a312)
| c7_1(X35)
| c3_1(X35) ) ).
cnf(u2276,negated_conjecture,
( c5_2(X35,a312)
| c7_1(X35)
| c3_1(X35) ) ).
cnf(u2280,negated_conjecture,
( c3_1(X35)
| c7_1(X35)
| ndr1_1(X35) ) ).
cnf(u2285,negated_conjecture,
c8_1(a307) ).
cnf(u2290,negated_conjecture,
~ c9_1(a307) ).
cnf(u2294,negated_conjecture,
ndr1_1(a307) ).
cnf(u2298,negated_conjecture,
( ~ c5_2(a307,X34)
| c6_2(a307,X34)
| ~ c7_2(a307,X34) ) ).
cnf(u2303,negated_conjecture,
( ~ c8_1(X33)
| ~ c4_1(X33) ) ).
cnf(u2310,negated_conjecture,
( ~ c3_2(X29,X30)
| ~ ndr1_1(X29)
| c6_2(X29,X30)
| c7_2(X29,X30)
| c4_1(X29) ) ).
cnf(u2371,negated_conjecture,
~ sP41 ).
cnf(u2375,negated_conjecture,
( ~ c5_2(X21,X22)
| ~ c4_1(X21)
| ~ ndr1_1(X21)
| ~ c1_1(X21)
| ~ c8_2(X21,X22)
| c9_2(X21,X22) ) ).
cnf(u2399,negated_conjecture,
~ sP43 ).
cnf(u2403,negated_conjecture,
~ sP42 ).
cnf(u2408,negated_conjecture,
c10_1(a296) ).
cnf(u2413,negated_conjecture,
~ c7_1(a296) ).
cnf(u2418,negated_conjecture,
c6_1(a296) ).
cnf(u2427,negated_conjecture,
( ~ c2_1(X19)
| c8_1(X19)
| c3_1(X19) ) ).
cnf(u2455,negated_conjecture,
~ sP44 ).
cnf(u2460,negated_conjecture,
~ sP45 ).
cnf(u2464,negated_conjecture,
( ~ c2_1(X18)
| c8_1(X18) ) ).
cnf(u2471,negated_conjecture,
( ~ c1_1(X16)
| ~ c4_1(X16)
| c7_1(X16) ) ).
cnf(u2474,negated_conjecture,
~ sP47 ).
cnf(u2491,negated_conjecture,
~ sP48 ).
cnf(u2510,negated_conjecture,
~ ndr1_1(a280) ).
cnf(u2560,negated_conjecture,
ndr1_1(a277) ).
cnf(u2564,negated_conjecture,
( ~ c6_2(a277,X9)
| c7_2(a277,X9)
| c4_2(a277,X9) ) ).
cnf(u2568,negated_conjecture,
( ~ c4_2(a277,X8)
| c10_2(a277,X8)
| ~ c3_2(a277,X8) ) ).
cnf(u2573,negated_conjecture,
~ c5_1(a277) ).
cnf(u2686,axiom,
~ ndr1_1(a443) ).
cnf(u2871,axiom,
~ c4_2(a408,a410) ).
cnf(u2876,axiom,
c10_2(a408,a410) ).
cnf(u2881,axiom,
c2_2(a408,a410) ).
cnf(u2886,axiom,
ndr1_1(a408) ).
cnf(u2890,axiom,
( ~ c7_2(a408,X0)
| c3_2(a408,X0)
| c8_2(a408,X0) ) ).
cnf(u2895,axiom,
~ c5_2(a408,a409) ).
cnf(u2900,axiom,
c2_2(a408,a409) ).
cnf(u2905,axiom,
c10_2(a408,a409) ).
cnf(u2986,axiom,
c6_2(a395,a396) ).
cnf(u2991,axiom,
c3_2(a395,a396) ).
cnf(u2996,axiom,
c9_2(a395,a396) ).
cnf(u3001,axiom,
ndr1_1(a395) ).
cnf(u3006,axiom,
c7_1(a395) ).
cnf(u3011,axiom,
~ c2_1(a395) ).
cnf(u3167,axiom,
~ ndr1_1(a362) ).
cnf(u3175,axiom,
~ c10_1(a362) ).
cnf(u3808,negated_conjecture,
~ c9_1(a434) ).
cnf(u3817,negated_conjecture,
~ c10_1(a427) ).
cnf(u3821,negated_conjecture,
~ c1_1(a427) ).
cnf(u3841,negated_conjecture,
~ c4_1(a406) ).
cnf(u3868,negated_conjecture,
sP23(a315) ).
cnf(u3890,negated_conjecture,
~ c7_2(a307,a312) ).
cnf(u3902,negated_conjecture,
~ c4_1(a277) ).
cnf(u3923,negated_conjecture,
~ c1_1(a315) ).
cnf(u3941,negated_conjecture,
~ c9_1(a352) ).
cnf(u3981,negated_conjecture,
~ c10_1(a350) ).
cnf(u4006,negated_conjecture,
~ c7_2(a414,a415) ).
cnf(u4026,negated_conjecture,
c9_1(a350) ).
cnf(u4042,negated_conjecture,
~ c1_2(a315,a419) ).
cnf(u4046,negated_conjecture,
~ c9_1(a315) ).
cnf(u4068,negated_conjecture,
~ c6_2(a434,a435) ).
cnf(u4095,negated_conjecture,
~ c2_1(a277) ).
cnf(u4113,negated_conjecture,
~ c9_1(a395) ).
cnf(u4130,negated_conjecture,
~ c3_2(a352,a353) ).
cnf(u4146,negated_conjecture,
~ c3_2(a414,a415) ).
cnf(u4195,negated_conjecture,
~ c3_2(a350,a379) ).
cnf(u4217,negated_conjecture,
~ c3_2(a424,a379) ).
cnf(u4233,negated_conjecture,
~ c7_2(a408,a410) ).
cnf(u4249,negated_conjecture,
~ c7_2(a408,a409) ).
cnf(u4257,negated_conjecture,
( ~ c7_2(a395,X0)
| c4_2(a395,X0)
| c5_2(a395,X0) ) ).
cnf(u4276,negated_conjecture,
c5_2(a395,a379) ).
cnf(u4298,negated_conjecture,
~ c1_1(a395) ).
cnf(u4327,negated_conjecture,
~ c4_1(a424) ).
cnf(u4354,negated_conjecture,
~ c2_1(a424) ).
cnf(u4384,negated_conjecture,
~ sP46(a277) ).
cnf(u4398,negated_conjecture,
~ sP46(a350) ).
cnf(u4416,negated_conjecture,
~ c3_2(a424,a286) ).
cnf(u4431,negated_conjecture,
~ sP20(a315) ).
cnf(u4442,negated_conjecture,
~ c10_2(a427,a392) ).
cnf(u4463,negated_conjecture,
~ sP16(a277) ).
cnf(u4481,negated_conjecture,
~ sP9(a414) ).
cnf(u4499,negated_conjecture,
~ sP9(a277) ).
cnf(u4525,negated_conjecture,
~ sP0(a395) ).
cnf(u4538,negated_conjecture,
~ sP9(a350) ).
cnf(u4548,negated_conjecture,
~ sP9(a424) ).
cnf(u4559,negated_conjecture,
sP23(a408) ).
cnf(u4567,negated_conjecture,
c3_2(a408,a379) ).
cnf(u4576,negated_conjecture,
c4_1(a408) ).
cnf(u4627,negated_conjecture,
~ sP0(a307) ).
cnf(u344,axiom,
( ~ sP16(X0)
| ndr1_1(X0) ) ).
cnf(u4374,negated_conjecture,
( c2_2(X0,a286)
| ~ c9_1(X0)
| ~ sP46(X0)
| c9_2(X0,a286)
| c3_1(X0) ) ).
cnf(u313,axiom,
( ~ sP23(X0)
| ndr1_1(X0) ) ).
cnf(u3927,negated_conjecture,
( c2_2(X0,a379)
| ~ c9_1(X0)
| c9_2(X0,a379)
| c3_1(X0)
| sP23(X0) ) ).
cnf(u3793,negated_conjecture,
~ c4_1(a374) ).
cnf(u4035,negated_conjecture,
( ~ c1_2(X0,a419)
| ~ c9_1(X0)
| c6_2(X0,a312)
| c1_2(X0,a312)
| c7_1(X0)
| c3_1(X0) ) ).
cnf(u157,axiom,
( ~ c8_2(X0,a286)
| ~ sP46(X0) ) ).
cnf(u4173,negated_conjecture,
( ~ c3_2(X0,a379)
| c1_2(X0,a379)
| c6_1(X0)
| ~ ndr1_1(X0)
| c5_2(X0,a379)
| sP23(X0) ) ).
cnf(u3799,negated_conjecture,
( ~ c4_1(X0)
| c7_1(X0)
| ndr1_1(X0) ) ).
cnf(u3791,negated_conjecture,
c3_1(a343) ).
cnf(u4618,negated_conjecture,
( ~ c1_2(X0,a419)
| c6_1(X0)
| ~ sP9(X0)
| c7_2(X0,a413)
| c4_2(X0,a447)
| ~ sP0(X0)
| ~ c9_1(X0)
| c4_1(X0)
| c6_2(X0,a447)
| c1_2(X0,a447) ) ).
cnf(u4617,negated_conjecture,
( c8_2(X0,a447)
| c6_1(X0)
| ~ sP9(X0)
| c7_2(X0,a413)
| c4_2(X0,a447)
| ~ sP0(X0)
| ~ c1_1(X0)
| c1_2(X0,a447)
| c4_1(X0) ) ).
cnf(u3796,negated_conjecture,
~ c4_1(a350) ).
cnf(u158,axiom,
( ~ sP46(X0)
| ndr1_1(X0) ) ).
cnf(u141,axiom,
( ~ c6_2(X0,a275)
| ~ sP49(X0) ) ).
cnf(u4608,negated_conjecture,
( c8_2(X0,a379)
| c6_1(X0)
| ~ sP9(X0)
| c7_2(X0,a413)
| sP23(X0)
| ~ c1_1(X0)
| c1_2(X0,a379)
| c4_1(X0) ) ).
cnf(u338,axiom,
( ~ c2_2(X0,a392)
| ~ sP17(X0) ) ).
cnf(u3997,negated_conjecture,
( ~ c7_2(X0,a312)
| c3_1(X0)
| c9_1(X0)
| c9_2(X0,a312)
| c7_1(X0) ) ).
cnf(u3790,negated_conjecture,
c3_1(a315) ).
cnf(u312,axiom,
( ~ c2_2(X0,a380)
| ~ sP23(X0) ) ).
cnf(u4394,negated_conjecture,
( ~ c3_2(X0,a286)
| c1_2(X0,a286)
| c6_1(X0)
| ~ sP46(X0)
| c5_2(X0,a379)
| sP23(X0) ) ).
cnf(u4527,negated_conjecture,
( ~ c3_2(X0,a379)
| c1_2(X0,a379)
| ~ sP0(X0)
| c6_1(X0)
| c5_2(X0,a447)
| c4_2(X0,a447)
| sP23(X0) ) ).
cnf(u342,axiom,
( ~ c3_2(X0,a393)
| ~ sP16(X0) ) ).
cnf(u4473,negated_conjecture,
( c6_2(X0,a413)
| ~ sP9(X0)
| c7_2(X0,a413)
| c4_1(X0) ) ).
cnf(u311,axiom,
( ~ c1_2(X0,a380)
| ~ sP23(X0) ) ).
cnf(u3792,negated_conjecture,
~ c4_1(a405) ).
cnf(u3968,negated_conjecture,
( c6_2(X0,a312)
| ~ c10_1(X0)
| c10_2(X0,a312)
| ~ c2_1(X0)
| c7_1(X0)
| c3_1(X0) ) ).
cnf(u343,axiom,
( ~ c8_2(X0,a393)
| ~ sP16(X0) ) ).
cnf(u4117,negated_conjecture,
( ~ c7_2(X0,X1)
| c1_2(X0,a379)
| ~ c3_2(X0,a379)
| c6_1(X0)
| ~ ndr1_1(X0)
| c5_2(X0,X1)
| c4_2(X0,X1)
| sP23(X0) ) ).
cnf(u4509,negated_conjecture,
( ~ c3_2(X0,a312)
| c1_2(X0,a312)
| ~ sP0(X0)
| c6_1(X0)
| c5_2(X0,a447)
| c4_2(X0,a447)
| ~ c10_1(X0)
| c10_2(X0,a312)
| ~ c2_1(X0)
| c7_1(X0)
| c3_1(X0) ) ).
cnf(u4531,negated_conjecture,
( c5_2(X0,a447)
| c4_1(X0)
| c6_1(X0)
| ~ sP9(X0)
| c7_2(X0,a413)
| c4_2(X0,a447)
| ~ sP0(X0) ) ).
cnf(u4451,negated_conjecture,
( c2_2(X0,a393)
| ~ c9_1(X0)
| ~ sP16(X0)
| c9_2(X0,a393)
| c3_1(X0) ) ).
cnf(u4485,negated_conjecture,
( c2_2(X0,a413)
| c7_2(X0,a413)
| c4_1(X0)
| ~ c9_1(X0)
| ~ sP9(X0)
| c9_2(X0,a413)
| c3_1(X0) ) ).
cnf(u4321,negated_conjecture,
( ~ c3_2(X0,a430)
| c1_2(X0,a430)
| c6_1(X0)
| c5_2(X0,a379)
| ~ c4_1(X0)
| c5_1(X0)
| sP23(X0) ) ).
cnf(u324,axiom,
( ~ c5_2(X0,a390)
| ~ sP20(X0) ) ).
cnf(u4508,negated_conjecture,
( ~ c3_2(X0,a286)
| c6_1(X0)
| c1_2(X0,a286)
| ~ sP0(X0)
| ~ sP46(X0)
| c5_2(X0,a447)
| c4_2(X0,a447) ) ).
cnf(u427,axiom,
( ~ c10_2(X0,a447)
| ~ sP0(X0) ) ).
cnf(u4017,negated_conjecture,
( ~ c7_2(X0,a430)
| c3_1(X0)
| c9_1(X0)
| c9_2(X0,a430)
| ~ c4_1(X0) ) ).
cnf(u379,axiom,
( ~ c1_2(X0,a413)
| ~ sP9(X0) ) ).
cnf(u3988,negated_conjecture,
( ~ c1_2(X0,a312)
| ~ c4_1(X0)
| ~ c2_1(X0)
| c7_1(X0)
| c3_1(X0) ) ).
cnf(u381,axiom,
( ~ sP9(X0)
| ndr1_1(X0) ) ).
cnf(u143,axiom,
( ~ c2_2(X0,a275)
| ~ sP49(X0) ) ).
cnf(u425,axiom,
( c3_2(X0,a447)
| ~ sP0(X0) ) ).
cnf(u341,axiom,
( c6_2(X0,a393)
| ~ sP16(X0) ) ).
cnf(u3752,negated_conjecture,
( ~ c6_2(X95,X96)
| ~ c9_1(X95)
| c2_2(X95,X96)
| c9_2(X95,X96)
| c3_1(X95) ) ).
cnf(u322,axiom,
( ~ c1_2(X0,a390)
| ~ sP20(X0) ) ).
cnf(u323,axiom,
( c9_2(X0,a390)
| ~ sP20(X0) ) ).
cnf(u3794,negated_conjecture,
~ c4_1(a307) ).
cnf(u310,axiom,
( ~ c4_2(X0,a380)
| ~ sP23(X0) ) ).
cnf(u4448,negated_conjecture,
( ~ c10_2(X0,a392)
| ~ c4_1(X0)
| c1_1(X0)
| ~ sP17(X0)
| c4_2(X0,a392) ) ).
cnf(u426,axiom,
( c7_2(X0,a447)
| ~ sP0(X0) ) ).
cnf(u3795,negated_conjecture,
c8_1(a350) ).
cnf(u339,axiom,
( c1_2(X0,a392)
| ~ sP17(X0) ) ).
cnf(u4341,negated_conjecture,
( ~ c3_2(X0,a312)
| c1_2(X0,a312)
| c6_1(X0)
| c5_2(X0,a379)
| ~ c10_1(X0)
| c10_2(X0,a312)
| ~ c2_1(X0)
| c7_1(X0)
| c3_1(X0)
| sP23(X0) ) ).
cnf(u156,axiom,
( ~ c7_2(X0,a286)
| ~ sP46(X0) ) ).
cnf(u3916,negated_conjecture,
( c8_2(X0,a312)
| c1_2(X0,a312)
| ~ c1_1(X0)
| c7_1(X0)
| c3_1(X0) ) ).
cnf(u144,axiom,
( ~ sP49(X0)
| ndr1_1(X0) ) ).
cnf(u4491,negated_conjecture,
( ~ c7_2(X0,X1)
| c7_2(X0,a413)
| c4_1(X0)
| c6_1(X0)
| ~ sP9(X0)
| c5_2(X0,X1)
| c4_2(X0,X1) ) ).
cnf(u4510,negated_conjecture,
( ~ c3_2(X0,a430)
| c1_2(X0,a430)
| ~ sP0(X0)
| c6_1(X0)
| c5_2(X0,a447)
| c4_2(X0,a447)
| ~ c4_1(X0)
| c5_1(X0) ) ).
cnf(u4120,negated_conjecture,
( ~ c7_2(X0,X1)
| c1_2(X0,a312)
| ~ c3_2(X0,a312)
| c6_1(X0)
| c5_2(X0,X1)
| c4_2(X0,X1)
| ~ c10_1(X0)
| c10_2(X0,a312)
| ~ c2_1(X0)
| c7_1(X0)
| c3_1(X0) ) ).
cnf(u378,axiom,
( c3_2(X0,a413)
| ~ sP9(X0) ) ).
cnf(u142,axiom,
( ~ c10_2(X0,a275)
| ~ sP49(X0) ) ).
cnf(u380,axiom,
( ~ c4_2(X0,a413)
| ~ sP9(X0) ) ).
cnf(u340,axiom,
( ~ sP17(X0)
| ndr1_1(X0) ) ).
cnf(u4375,negated_conjecture,
( ~ c7_2(X0,X1)
| c6_1(X0)
| c1_2(X0,a286)
| ~ c3_2(X0,a286)
| ~ sP46(X0)
| c5_2(X0,X1)
| c4_2(X0,X1) ) ).
cnf(u4121,negated_conjecture,
( ~ c7_2(X0,X1)
| c1_2(X0,a430)
| ~ c3_2(X0,a430)
| c6_1(X0)
| c5_2(X0,X1)
| c4_2(X0,X1)
| ~ c4_1(X0)
| c5_1(X0) ) ).
cnf(u325,axiom,
( ~ sP20(X0)
| ndr1_1(X0) ) ).
cnf(u337,axiom,
( ~ c6_2(X0,a392)
| ~ sP17(X0) ) ).
cnf(u4532,negated_conjecture,
( c5_2(X0,a379)
| c4_1(X0)
| c6_1(X0)
| ~ sP9(X0)
| c7_2(X0,a413)
| sP23(X0) ) ).
cnf(u428,axiom,
( ~ sP0(X0)
| ndr1_1(X0) ) ).
cnf(u155,axiom,
( c6_2(X0,a286)
| ~ sP46(X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN420+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n002.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 15:58:22 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.02/1.10 % (475891)Detected formulas, will run a generic FOF schedule.
% 3.02/1.10 % (475899)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1270027324:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.02/1.10 % (475897)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1282035292:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.02/1.10 % (475896)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=680183762:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.02/1.10 % (475901)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=46987818:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.02/1.10 % (475898)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=954115279:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.02/1.10 % (475899)Instruction limit reached!
% 3.02/1.10 % (475899)------------------------------
% 3.02/1.10 % (475899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.10 % (475899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.10 % (475899)CaDiCaL version: 2.1.3
% 3.02/1.10 % (475899)Termination reason: Instruction limit
% 3.02/1.10 % (475899)Termination phase: Saturation
% 3.02/1.10 % (475899)Time elapsed: 0.037 s
% 3.02/1.10 % (475899)Peak memory usage: 91 MB
% 3.02/1.10 % (475899)Instructions burned: 110 (million)
% 3.02/1.10 % (475900)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2435800898:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.02/1.10 % (475902)dis-21_1_sil=8000:lcm=predicate:random_seed=1967720934:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.02/1.10 % (475901)Refutation not found, incomplete strategy
% 3.02/1.10 % (475901)------------------------------
% 3.02/1.10 % (475901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.10 % (475901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.10 % (475901)CaDiCaL version: 2.1.3
% 3.02/1.10 % (475901)Termination reason: Refutation not found, incomplete strategy
% 3.02/1.10 % (475901)Time elapsed: 0.021 s
% 3.02/1.10 % (475901)Peak memory usage: 91 MB
% 3.02/1.10 % (475901)Instructions burned: 32 (million)
% 3.02/1.10 % (475900)Instruction limit reached!
% 3.02/1.10 % (475900)------------------------------
% 3.02/1.10 % (475900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.10 % (475900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.10 % (475900)CaDiCaL version: 2.1.3
% 3.02/1.10 % (475900)Termination reason: Instruction limit
% 3.02/1.10 % (475900)Termination phase: Saturation
% 3.02/1.10 % (475900)Time elapsed: 0.064 s
% 3.02/1.10 % (475900)Peak memory usage: 89 MB
% 3.02/1.10 % (475900)Instructions burned: 120 (million)
% 3.02/1.10 % (475902)Instruction limit reached!
% 3.02/1.10 % (475902)------------------------------
% 3.02/1.10 % (475902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.10 % (475902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.10 % (475902)CaDiCaL version: 2.1.3
% 3.02/1.10 % (475902)Termination reason: Instruction limit
% 3.02/1.10 % (475902)Termination phase: Saturation
% 3.02/1.10 % (475902)Time elapsed: 0.073 s
% 3.02/1.10 % (475902)Peak memory usage: 91 MB
% 3.02/1.10 % (475902)Instructions burned: 129 (million)
% 3.02/1.10 % (475910)lrs+10_1_sil=8000:sp=occurrence:random_seed=10265889:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.02/1.10 % (475910)First to succeed.
% 3.02/1.10 % (475910)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-475891"
% 3.02/1.10 % (475911)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2628012969:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.02/1.10 % (475912)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1438922940:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.02/1.10 % (475911)Refutation not found, incomplete strategy
% 3.02/1.10 % (475911)------------------------------
% 3.02/1.10 % (475911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.10 % (475911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.10 % (475911)CaDiCaL version: 2.1.3
% 3.02/1.10 % (475911)Termination reason: Refutation not found, incomplete strategy
% 3.02/1.10 % (475911)Time elapsed: 0.026 s
% 3.02/1.10 % (475911)Peak memory usage: 91 MB
% 3.02/1.10 % (475911)Instructions burned: 40 (million)
% 3.02/1.10 % (475912)Refutation not found, incomplete strategy
% 3.02/1.10 % (475912)------------------------------
% 3.02/1.10 % (475912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.10 % (475912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.10 % (475912)CaDiCaL version: 2.1.3
% 3.02/1.10 % (475912)Termination reason: Refutation not found, incomplete strategy
% 3.02/1.10 % (475912)Time elapsed: 0.023 s
% 3.02/1.10 % (475912)Peak memory usage: 90 MB
% 3.02/1.10 % (475912)Instructions burned: 36 (million)
% 3.02/1.10 % (475901)------------------------------
% 3.02/1.10 % (475901)------------------------------
% 3.02/1.10 % SZS status CounterSatisfiable for theBenchmark
% 3.02/1.10 % SZS output start Saturation.
% See solution above
% 3.81/1.30 % SZS output start Definitions and Model Updates.
% 3.81/1.30 % SZS output end Definitions and Model Updates.
% 3.81/1.30 % (475910)------------------------------
% 3.81/1.30 % (475910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.30 % (475910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.30 % (475910)CaDiCaL version: 2.1.3
% 3.81/1.30 % (475910)Termination reason: Satisfiable
% 3.81/1.30 % (475910)Time elapsed: 0.019 s
% 3.81/1.30 % (475910)Peak memory usage: 91 MB
% 3.81/1.30 % (475910)Instructions burned: 54 (million)
% 3.81/1.30 % (475910)------------------------------
% 3.81/1.30 % (475910)------------------------------
% 3.81/1.30 % (475891)Success in time 0.442 s
% 3.81/1.30 % Vampire exiting
%------------------------------------------------------------------------------