%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN544-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 02:00:54 PM UTC 2026
% Result : Satisfiable 3.91s 1.37s
% Output : Saturation 5.41s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u369,negated_conjecture,
ndr1_0 ).
cnf(u373,negated_conjecture,
( ~ c6_2(X1,X2)
| c3_1(X1)
| c1_2(X1,X2)
| c4_2(X1,X2)
| ~ c2_1(X1)
| ~ ndr1_1(X1) ) ).
cnf(u388,negated_conjecture,
( ~ c6_2(X1,X2)
| c5_2(X1,X2)
| c4_2(X1,X2)
| ~ c7_1(X1)
| ~ c3_2(X1,a46)
| ~ ndr1_1(X1) ) ).
cnf(u394,negated_conjecture,
ssSkC9 ).
cnf(u399,negated_conjecture,
( ~ c6_2(X1,X2)
| c5_2(X1,X2)
| c4_2(X1,X2)
| ~ c7_1(X1)
| ~ c8_2(X1,a46)
| ~ ndr1_1(X1) ) ).
cnf(u410,negated_conjecture,
( ~ c4_1(X2)
| c1_1(X2) ) ).
cnf(u418,negated_conjecture,
~ c8_0 ).
cnf(u424,negated_conjecture,
( ~ c5_2(X0,X1)
| c7_1(X0)
| c3_2(X0,X1)
| ~ c2_1(X0)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ) ).
cnf(u443,negated_conjecture,
( ~ c2_2(X0,X1)
| c7_1(X0)
| c3_2(X0,X1)
| ~ c8_1(X0)
| ~ ndr1_1(X0)
| ~ c6_2(X0,X1) ) ).
cnf(u447,negated_conjecture,
( ~ c7_1(X3)
| c2_1(X3)
| c8_1(X3) ) ).
cnf(u457,negated_conjecture,
c1_0 ).
cnf(u461,negated_conjecture,
( ~ c8_2(X1,X2)
| c7_1(X1)
| c2_2(X1,X3)
| c6_2(X1,X3)
| c7_2(X1,X2)
| ~ c3_2(X1,X3)
| ~ ndr1_1(X1)
| ~ c5_2(X1,X2) ) ).
cnf(u479,negated_conjecture,
~ c5_0 ).
cnf(u484,negated_conjecture,
~ ndr1_1(a104) ).
cnf(u498,negated_conjecture,
c7_0 ).
cnf(u506,negated_conjecture,
( ~ c8_2(X0,X2)
| c3_2(X0,X2)
| c4_2(X0,X2)
| c6_2(X0,X1)
| c8_2(X0,X1)
| ~ c4_1(X0)
| ~ c7_2(X0,X1)
| ~ ndr1_1(X0) ) ).
cnf(u554,negated_conjecture,
( ~ c7_1(X2)
| c2_1(X2)
| ~ c3_1(X2) ) ).
cnf(u572,negated_conjecture,
~ c2_0 ).
cnf(u590,negated_conjecture,
( ~ c2_2(X0,X2)
| c1_1(X0)
| c7_2(X0,X2)
| c8_2(X0,X1)
| c5_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ ndr1_1(X0) ) ).
cnf(u594,negated_conjecture,
( ~ c5_2(X2,a116)
| c8_1(X2)
| c4_1(X2) ) ).
cnf(u597,negated_conjecture,
( ~ c4_2(X0,X1)
| c4_1(X0)
| c7_1(X0)
| c1_2(X0,X1)
| c6_2(X0,X1)
| ~ ndr1_1(X0) ) ).
cnf(u603,negated_conjecture,
~ c5_1(a104) ).
cnf(u607,negated_conjecture,
( ~ c6_2(X0,a132)
| c7_2(X0,X1)
| ~ c1_1(X0)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c8_2(X0,X1) ) ).
cnf(u611,negated_conjecture,
( ~ c4_2(X0,X1)
| c7_2(X0,X1)
| ~ c1_1(X0)
| ~ c8_2(X0,a132)
| ~ ndr1_1(X0)
| ~ c8_2(X0,X1) ) ).
cnf(u615,negated_conjecture,
( ~ c4_2(X0,X1)
| c7_2(X0,X1)
| ~ c1_1(X0)
| ~ c3_2(X0,a132)
| ~ ndr1_1(X0)
| ~ c8_2(X0,X1) ) ).
cnf(u619,negated_conjecture,
~ ssSkC11 ).
cnf(u623,negated_conjecture,
( ~ c2_2(X0,a56)
| c5_1(X0)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c6_2(X0,X1)
| ~ c1_2(X0,X1) ) ).
cnf(u627,negated_conjecture,
( c4_1(X2)
| c8_1(X2)
| c1_2(X2,a116) ) ).
cnf(u631,negated_conjecture,
( c4_1(X2)
| c8_1(X2)
| c2_2(X2,a116) ) ).
cnf(u639,negated_conjecture,
c6_0 ).
cnf(u643,negated_conjecture,
( ~ c7_2(X0,X1)
| c3_1(X0)
| c2_1(X0)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,X1) ) ).
cnf(u652,negated_conjecture,
( ~ c2_2(X0,a23)
| c1_2(X0,X1)
| ~ ssSkP3(X0)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ c8_2(X0,X1) ) ).
cnf(u656,negated_conjecture,
( ~ c8_2(X0,X1)
| c1_2(X0,X1)
| ~ c3_2(X0,a23)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ ssSkP3(X0) ) ).
cnf(u660,negated_conjecture,
( ~ c6_2(X0,a23)
| c1_2(X0,X1)
| ~ ssSkP3(X0)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ c8_2(X0,X1) ) ).
cnf(u664,negated_conjecture,
~ c3_0 ).
cnf(u672,negated_conjecture,
( ~ c1_2(X0,X1)
| c1_1(X0)
| c6_1(X0)
| c2_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0) ) ).
cnf(u682,negated_conjecture,
ssSkC2 ).
cnf(u693,negated_conjecture,
( ~ c6_2(X0,X1)
| c5_1(X0)
| c7_2(X0,a56)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c1_2(X0,X1) ) ).
cnf(u697,negated_conjecture,
( ~ c6_2(X0,X1)
| c5_1(X0)
| c3_2(X0,a56)
| ~ ndr1_1(X0)
| ~ c4_2(X0,X1)
| ~ c1_2(X0,X1) ) ).
cnf(u705,negated_conjecture,
c4_0 ).
cnf(u709,negated_conjecture,
( ~ c2_2(X0,X1)
| c6_2(X0,X1)
| ~ c5_1(X0)
| ~ c4_1(X0)
| ~ ndr1_1(X0) ) ).
cnf(u713,negated_conjecture,
( ~ c2_2(X0,X1)
| c3_2(X0,a7)
| c3_2(X0,X1)
| c4_2(X0,X1)
| ~ c8_1(X0)
| ~ ndr1_1(X0) ) ).
cnf(u716,negated_conjecture,
ssSkC0 ).
cnf(u721,negated_conjecture,
( ~ c2_2(X0,X1)
| c6_2(X0,a7)
| c3_2(X0,X1)
| c4_2(X0,X1)
| ~ c8_1(X0)
| ~ ndr1_1(X0) ) ).
cnf(u725,negated_conjecture,
( ~ c2_2(X0,X1)
| c1_2(X0,a7)
| c3_2(X0,X1)
| c4_2(X0,X1)
| ~ c8_1(X0)
| ~ ndr1_1(X0) ) ).
cnf(u753,negated_conjecture,
~ ssSkC18 ).
cnf(u757,negated_conjecture,
( ~ c2_2(X0,X1)
| c8_1(X0)
| c2_2(X0,a100)
| c4_2(X0,X1)
| c7_2(X0,X1)
| ~ ndr1_1(X0) ) ).
cnf(u761,negated_conjecture,
( ~ c2_2(X0,X1)
| c8_1(X0)
| c5_2(X0,a100)
| c4_2(X0,X1)
| c7_2(X0,X1)
| ~ ndr1_1(X0) ) ).
cnf(u765,negated_conjecture,
( ~ c2_2(X0,X1)
| c8_1(X0)
| c4_2(X0,a100)
| c4_2(X0,X1)
| c7_2(X0,X1)
| ~ ndr1_1(X0) ) ).
cnf(u769,negated_conjecture,
( ~ c7_1(X1)
| c2_1(X1)
| ~ c5_1(X1) ) ).
cnf(u780,negated_conjecture,
( ~ c3_2(X0,X1)
| c7_1(X0)
| c1_2(X0,X1)
| c7_2(X0,X1)
| ~ c3_1(X0)
| ~ ndr1_1(X0) ) ).
cnf(u792,negated_conjecture,
( ~ c8_2(X0,X1)
| c7_1(X0)
| ~ c7_2(X0,a108)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1) ) ).
cnf(u796,negated_conjecture,
( ~ c8_2(X0,X1)
| c7_1(X0)
| ~ c5_2(X0,a108)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1) ) ).
cnf(u816,negated_conjecture,
( ~ c8_2(X0,X1)
| c7_1(X0)
| c6_2(X0,a108)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1) ) ).
cnf(u821,negated_conjecture,
ssSkC10 ).
cnf(u833,negated_conjecture,
ssSkC17 ).
cnf(u844,negated_conjecture,
~ ssSkC21 ).
cnf(u849,negated_conjecture,
~ ndr1_1(a120) ).
cnf(u863,negated_conjecture,
( ~ c2_1(X0)
| c6_2(X0,a95)
| ~ ssSkP8(X0) ) ).
cnf(u867,negated_conjecture,
( ~ c2_1(X0)
| c1_2(X0,a95)
| ~ ssSkP8(X0) ) ).
cnf(u871,negated_conjecture,
( ~ c2_1(X0)
| c5_2(X0,a95)
| ~ ssSkP8(X0) ) ).
cnf(u876,negated_conjecture,
~ ndr1_1(a66) ).
cnf(u882,negated_conjecture,
ssSkC13 ).
cnf(u903,negated_conjecture,
~ ssSkC7 ).
cnf(u907,negated_conjecture,
ndr1_1(a35) ).
cnf(u911,negated_conjecture,
( ~ c2_2(a35,X0)
| c8_2(a35,X0)
| ~ c1_2(a35,X0) ) ).
cnf(u919,negated_conjecture,
( ~ ssSkP8(X0)
| ndr1_1(X0)
| ~ c2_1(X0) ) ).
cnf(u930,negated_conjecture,
( ~ c2_1(X0)
| c8_1(X0) ) ).
cnf(u934,negated_conjecture,
ndr1_1(a29) ).
cnf(u938,negated_conjecture,
( ~ c6_2(a29,X0)
| c5_2(a29,X0)
| c1_2(a29,X0) ) ).
cnf(u941,negated_conjecture,
ssSkC5 ).
cnf(u945,negated_conjecture,
ssSkC4 ).
cnf(u951,negated_conjecture,
~ ndr1_1(a34) ).
cnf(u962,negated_conjecture,
ndr1_1(a51) ).
cnf(u966,negated_conjecture,
( ~ c5_2(a51,X0)
| c4_2(a51,X0)
| c3_2(a51,X0) ) ).
cnf(u971,negated_conjecture,
~ ndr1_1(a64) ).
cnf(u977,negated_conjecture,
ssSkC12 ).
cnf(u982,negated_conjecture,
( ~ c6_2(X0,a70)
| ~ c3_1(X0)
| ~ ssSkP5(X0) ) ).
cnf(u987,negated_conjecture,
~ ndr1_1(a93) ).
cnf(u993,negated_conjecture,
ssSkC16 ).
cnf(u1011,negated_conjecture,
ssSkC6 ).
cnf(u1022,negated_conjecture,
~ ssSkC20 ).
cnf(u1027,negated_conjecture,
~ ndr1_1(a113) ).
cnf(u1038,negated_conjecture,
( ~ ssSkP5(X0)
| c4_2(X0,a70)
| ~ c3_1(X0) ) ).
cnf(u1042,negated_conjecture,
( ~ ssSkP5(X0)
| c7_2(X0,a70)
| ~ c3_1(X0) ) ).
cnf(u1078,negated_conjecture,
( ~ c5_1(X0)
| c2_1(X0)
| c6_1(X0) ) ).
cnf(u1086,negated_conjecture,
( ~ c4_1(X0)
| c1_1(X0)
| c3_2(X0,a33) ) ).
cnf(u1090,negated_conjecture,
( ~ c4_1(X0)
| c1_1(X0)
| c1_2(X0,a33) ) ).
cnf(u1094,negated_conjecture,
( ~ c4_1(X0)
| c1_1(X0)
| c4_2(X0,a33) ) ).
cnf(u1149,negated_conjecture,
ssSkC8 ).
cnf(u1162,negated_conjecture,
~ ssSkC14 ).
cnf(u1174,negated_conjecture,
( ~ c8_2(X0,a115)
| ~ c8_1(X0) ) ).
cnf(u1178,negated_conjecture,
( ~ c7_2(X0,a115)
| ~ c8_1(X0) ) ).
cnf(u1182,negated_conjecture,
( ~ c3_2(X0,a115)
| ~ c8_1(X0) ) ).
cnf(u1186,negated_conjecture,
( ~ c8_1(X0)
| c4_1(X0)
| c6_1(X0) ) ).
cnf(u1198,negated_conjecture,
( ~ c4_1(X0)
| c1_1(X0)
| ndr1_1(X0) ) ).
cnf(u1218,negated_conjecture,
( c7_2(a136,X0)
| c8_2(a136,X0)
| c3_2(a136,X0) ) ).
cnf(u1221,negated_conjecture,
ndr1_1(a136) ).
cnf(u1234,negated_conjecture,
( ~ c7_2(X0,a67)
| c2_1(X0)
| c6_1(X0) ) ).
cnf(u1238,negated_conjecture,
( ~ c4_2(X0,a67)
| c2_1(X0)
| c6_1(X0) ) ).
cnf(u1250,negated_conjecture,
~ ndr1_1(a59) ).
cnf(u1263,negated_conjecture,
~ ssSkC22 ).
cnf(u1267,negated_conjecture,
( ~ c4_2(X0,a128)
| ~ c1_1(X0) ) ).
cnf(u1271,negated_conjecture,
( ~ c8_2(X0,a128)
| ~ c1_1(X0) ) ).
cnf(u1275,negated_conjecture,
( ~ c7_2(X0,a128)
| ~ c1_1(X0) ) ).
cnf(u1279,negated_conjecture,
( ~ c2_1(X0)
| c7_1(X0)
| c3_1(X0) ) ).
cnf(u1295,negated_conjecture,
( ~ c8_1(X0)
| ndr1_1(X0) ) ).
cnf(u1322,negated_conjecture,
( c6_1(X0)
| c2_1(X0)
| ndr1_1(X0) ) ).
cnf(u1335,negated_conjecture,
( ~ c1_1(X0)
| ndr1_1(X0) ) ).
cnf(u1339,negated_conjecture,
( ~ c8_1(X0)
| c7_1(X0) ) ).
cnf(u1344,negated_conjecture,
~ c7_2(a53,a54) ).
cnf(u1349,negated_conjecture,
~ c8_2(a53,a54) ).
cnf(u1387,negated_conjecture,
~ c8_1(a16) ).
cnf(u1392,negated_conjecture,
~ c2_1(a16) ).
cnf(u1411,negated_conjecture,
~ c4_2(a53,a54) ).
cnf(u1417,negated_conjecture,
c6_2(a53,a55) ).
cnf(u1422,negated_conjecture,
c2_2(a53,a55) ).
cnf(u1427,negated_conjecture,
~ c3_1(a66) ).
cnf(u1435,negated_conjecture,
ssSkC15 ).
cnf(u1491,negated_conjecture,
~ c4_2(a35,a36) ).
cnf(u1496,negated_conjecture,
~ c3_2(a35,a36) ).
cnf(u1501,negated_conjecture,
~ c2_2(a35,a36) ).
cnf(u1544,negated_conjecture,
c1_1(a16) ).
cnf(u1549,negated_conjecture,
c1_2(a29,a30) ).
cnf(u1554,negated_conjecture,
c2_2(a29,a30) ).
cnf(u1559,negated_conjecture,
c7_2(a29,a30) ).
cnf(u1564,negated_conjecture,
c6_2(a29,a31) ).
cnf(u1569,negated_conjecture,
c5_2(a29,a31) ).
cnf(u1589,negated_conjecture,
~ c1_2(a47,a48) ).
cnf(u1594,negated_conjecture,
~ c2_2(a47,a48) ).
cnf(u1599,negated_conjecture,
~ c1_2(a47,a49) ).
cnf(u1604,negated_conjecture,
~ c2_2(a47,a49) ).
cnf(u1609,negated_conjecture,
~ c7_1(a51) ).
cnf(u1614,negated_conjecture,
c1_1(a53) ).
cnf(u1619,negated_conjecture,
ndr1_1(a53) ).
cnf(u1624,negated_conjecture,
~ c4_1(a59) ).
cnf(u1629,negated_conjecture,
~ c1_1(a64) ).
cnf(u1644,negated_conjecture,
~ c6_1(a81) ).
cnf(u1649,negated_conjecture,
c3_2(a81,a82) ).
cnf(u1654,negated_conjecture,
c8_2(a81,a82) ).
cnf(u1659,negated_conjecture,
c4_2(a81,a82) ).
cnf(u1679,negated_conjecture,
~ c3_2(a122,a123) ).
cnf(u1684,negated_conjecture,
~ c1_2(a122,a123) ).
cnf(u1719,negated_conjecture,
~ c4_1(a35) ).
cnf(u1794,negated_conjecture,
~ c4_1(a113) ).
cnf(u1799,negated_conjecture,
~ c8_1(a113) ).
cnf(u1804,negated_conjecture,
~ c5_1(a120) ).
cnf(u1821,negated_conjecture,
~ c6_1(a47) ).
cnf(u1826,negated_conjecture,
c8_2(a47,a48) ).
cnf(u1831,negated_conjecture,
c7_2(a47,a49) ).
cnf(u1836,negated_conjecture,
c5_1(a51) ).
cnf(u1841,negated_conjecture,
c3_1(a59) ).
cnf(u1846,negated_conjecture,
c7_1(a81) ).
cnf(u1851,negated_conjecture,
ndr1_1(a81) ).
cnf(u1866,negated_conjecture,
~ c2_1(a117) ).
cnf(u1871,negated_conjecture,
~ c1_1(a122) ).
cnf(u1876,negated_conjecture,
c5_2(a122,a123) ).
cnf(u1930,negated_conjecture,
ndr1_1(a47) ).
cnf(u1935,negated_conjecture,
c8_1(a117) ).
cnf(u1950,negated_conjecture,
c8_1(a122) ).
cnf(u1955,negated_conjecture,
ndr1_1(a122) ).
cnf(u1987,negated_conjecture,
~ c3_1(a122) ).
cnf(u1997,negated_conjecture,
~ c3_1(a81) ).
cnf(u2009,negated_conjecture,
~ c5_1(a122) ).
cnf(u2015,negated_conjecture,
~ c5_1(a81) ).
cnf(u2022,negated_conjecture,
c6_1(a51) ).
cnf(u2031,negated_conjecture,
c6_1(a136) ).
cnf(u2045,negated_conjecture,
c6_1(a122) ).
cnf(u2054,negated_conjecture,
c6_1(a117) ).
cnf(u2072,negated_conjecture,
~ c8_1(a59) ).
cnf(u2138,negated_conjecture,
ssSkP3(a136) ).
cnf(u2151,negated_conjecture,
ssSkP4(a136) ).
cnf(u2165,negated_conjecture,
~ c1_1(a136) ).
cnf(u2174,negated_conjecture,
ssSkP2(a136) ).
cnf(u2186,negated_conjecture,
~ c4_1(a29) ).
cnf(u2190,negated_conjecture,
~ c5_1(a29) ).
cnf(u2202,negated_conjecture,
~ c5_2(a47,a48) ).
cnf(u2223,negated_conjecture,
~ c2_1(a29) ).
cnf(u2226,negated_conjecture,
~ c4_2(a29,a31) ).
cnf(u2234,negated_conjecture,
~ c3_1(a29) ).
cnf(u2240,negated_conjecture,
~ c2_1(a53) ).
cnf(u2243,negated_conjecture,
~ c4_2(a53,a55) ).
cnf(u2251,negated_conjecture,
~ c3_1(a53) ).
cnf(u2268,negated_conjecture,
~ c4_2(a29,a30) ).
cnf(u2276,negated_conjecture,
~ c1_1(a29) ).
cnf(u2298,negated_conjecture,
~ c7_1(a53) ).
cnf(u2302,negated_conjecture,
~ c4_1(a53) ).
cnf(u2335,negated_conjecture,
c1_2(a29,a116) ).
cnf(u2338,negated_conjecture,
~ c8_1(a29) ).
cnf(u2344,negated_conjecture,
c1_2(a59,a116) ).
cnf(u2353,negated_conjecture,
c8_1(a35) ).
cnf(u2366,negated_conjecture,
~ c3_1(a35) ).
cnf(u2375,negated_conjecture,
~ c5_1(a35) ).
cnf(u2386,negated_conjecture,
c2_2(a29,a116) ).
cnf(u2391,negated_conjecture,
c2_2(a59,a116) ).
cnf(u2437,negated_conjecture,
~ c4_1(a136) ).
cnf(u2461,negated_conjecture,
c1_1(a51) ).
cnf(u2475,negated_conjecture,
c1_1(a47) ).
cnf(u2514,negated_conjecture,
~ c8_1(a53) ).
cnf(u2518,negated_conjecture,
c3_2(a53,a55) ).
cnf(u2578,negated_conjecture,
( ~ c1_2(a136,X0)
| c3_2(a136,X0)
| c8_2(a136,X0)
| c2_2(a136,X0) ) ).
cnf(u2604,negated_conjecture,
~ c8_2(a81,a132) ).
cnf(u2618,negated_conjecture,
~ c3_2(a81,a132) ).
cnf(u2626,negated_conjecture,
~ ssSkP3(a81) ).
cnf(u2669,negated_conjecture,
c7_2(a29,a116) ).
cnf(u2678,negated_conjecture,
c7_2(a136,a116) ).
cnf(u2695,negated_conjecture,
c2_2(a53,a100) ).
cnf(u2719,negated_conjecture,
c4_2(a53,a100) ).
cnf(u2723,negated_conjecture,
c5_2(a53,a100) ).
cnf(u2744,negated_conjecture,
~ c4_2(a53,a116) ).
cnf(u2854,negated_conjecture,
c1_2(a53,a100) ).
cnf(u2859,negated_conjecture,
~ c8_2(a53,a100) ).
cnf(u2998,negated_conjecture,
c4_1(a47) ).
cnf(u3006,negated_conjecture,
c4_2(a47,a48) ).
cnf(u3047,negated_conjecture,
~ c8_2(a47,a132) ).
cnf(u3056,negated_conjecture,
~ c3_2(a47,a132) ).
cnf(u2122,negated_conjecture,
c7_2(a59,a70) ).
cnf(u2426,negated_conjecture,
c2_2(a136,a116) ).
cnf(clause66,negated_conjecture,
( ssSkP8(X0)
| c6_2(X0,a94) ) ).
cnf(clause138,negated_conjecture,
( ~ c3_2(X0,a71)
| ssSkP6(X0) ) ).
cnf(u2451,negated_conjecture,
( ~ c5_1(X0)
| c1_2(X0,a116)
| c2_1(X0)
| c1_1(X0) ) ).
cnf(u1978,negated_conjecture,
c8_1(a81) ).
cnf(clause153,negated_conjecture,
( ~ c4_2(X0,a4)
| ssSkP2(X0) ) ).
cnf(clause40,negated_conjecture,
( ssSkP1(X0)
| ndr1_1(X0) ) ).
cnf(u2358,negated_conjecture,
c6_1(a35) ).
cnf(u2417,negated_conjecture,
c1_2(a136,a116) ).
cnf(clause10,negated_conjecture,
c5_2(a136,a137) ).
cnf(u1968,negated_conjecture,
c7_1(a117) ).
cnf(clause154,negated_conjecture,
( ~ c3_2(X0,a4)
| ssSkP2(X0) ) ).
cnf(clause25,negated_conjecture,
( ssSkP5(X0)
| ndr1_1(X0) ) ).
cnf(u2041,negated_conjecture,
c4_1(a81) ).
cnf(u1969,negated_conjecture,
c7_1(a122) ).
cnf(u2356,negated_conjecture,
c7_1(a35) ).
cnf(u2117,negated_conjecture,
( ~ c3_1(X0)
| c7_2(X0,a70)
| c5_2(X0,a69) ) ).
cnf(clause73,negated_conjecture,
( ssSkP7(X0)
| c1_2(X0,a87) ) ).
cnf(clause133,negated_conjecture,
( ~ c5_2(X0,a94)
| ssSkP8(X0) ) ).
cnf(u1964,negated_conjecture,
ndr1_1(a117) ).
cnf(u2729,negated_conjecture,
c2_2(a53,a116) ).
cnf(u2377,negated_conjecture,
( c8_1(X0)
| c2_2(X0,a116)
| c1_1(X0) ) ).
cnf(u2428,negated_conjecture,
( c6_1(X0)
| c1_1(X0)
| c2_2(X0,a116) ) ).
cnf(clause5,negated_conjecture,
c5_1(a136) ).
cnf(clause8,negated_conjecture,
c1_2(a136,a137) ).
cnf(clause80,negated_conjecture,
( ssSkP4(X0)
| c2_2(X0,a57) ) ).
cnf(u2326,negated_conjecture,
( c8_1(X0)
| c1_2(X0,a116)
| c1_1(X0) ) ).
cnf(clause140,negated_conjecture,
( ~ c6_2(X0,a69)
| ssSkP5(X0) ) ).
cnf(u2120,negated_conjecture,
c4_2(a59,a70) ).
cnf(u2419,negated_conjecture,
( c6_1(X0)
| c1_1(X0)
| c1_2(X0,a116) ) ).
cnf(u2382,negated_conjecture,
c2_2(a113,a116) ).
cnf(clause19,negated_conjecture,
( ssSkP9(X0)
| ndr1_1(X0) ) ).
cnf(clause79,negated_conjecture,
( ssSkP5(X0)
| c5_2(X0,a69) ) ).
cnf(clause151,negated_conjecture,
( ~ c7_2(X0,a22)
| ssSkP3(X0) ) ).
cnf(clause38,negated_conjecture,
( ssSkP3(X0)
| ndr1_1(X0) ) ).
cnf(u1966,negated_conjecture,
ndr1_1(a16) ).
cnf(clause67,negated_conjecture,
( ssSkP8(X0)
| c2_2(X0,a94) ) ).
cnf(clause139,negated_conjecture,
( ~ c1_2(X0,a69)
| ssSkP5(X0) ) ).
cnf(clause158,negated_conjecture,
( ~ c1_2(X0,a1)
| ssSkP0(X0) ) ).
cnf(clause41,negated_conjecture,
( ssSkP0(X0)
| ndr1_1(X0) ) ).
cnf(u2118,negated_conjecture,
( ~ c3_1(X0)
| c7_2(X0,a70)
| ndr1_1(X0) ) ).
cnf(clause71,negated_conjecture,
( ssSkP7(X0)
| c8_2(X0,a87) ) ).
cnf(u2452,negated_conjecture,
( ~ c3_1(X0)
| c1_2(X0,a116)
| c2_1(X0)
| c1_1(X0) ) ).
cnf(u2421,negated_conjecture,
( c7_1(X0)
| c1_1(X0)
| c2_2(X0,a116) ) ).
cnf(u2418,negated_conjecture,
( c1_2(X0,a116)
| ndr1_1(X0) ) ).
cnf(clause152,negated_conjecture,
( ~ c6_2(X0,a22)
| ssSkP3(X0) ) ).
cnf(u2319,negated_conjecture,
( ~ c2_2(X0,X1)
| c1_2(X0,a7)
| c3_2(X0,X1)
| c4_2(X0,X1)
| ~ c8_1(X0) ) ).
cnf(clause78,negated_conjecture,
( ssSkP6(X0)
| c5_2(X0,a71) ) ).
cnf(clause65,negated_conjecture,
( ssSkP9(X0)
| c4_2(X0,a101) ) ).
cnf(clause137,negated_conjecture,
( ~ c1_2(X0,a71)
| ssSkP6(X0) ) ).
cnf(clause24,negated_conjecture,
( ssSkP6(X0)
| ndr1_1(X0) ) ).
cnf(clause96,negated_conjecture,
( ssSkP1(X0)
| c4_2(X0,a2) ) ).
cnf(clause156,negated_conjecture,
( ~ c1_2(X0,a2)
| ssSkP1(X0) ) ).
cnf(u2116,negated_conjecture,
( ~ c3_1(X0)
| c4_2(X0,a70)
| ndr1_1(X0) ) ).
cnf(clause9,negated_conjecture,
c3_2(a136,a137) ).
cnf(clause141,negated_conjecture,
( ~ c7_2(X0,a57)
| ssSkP4(X0) ) ).
cnf(clause28,negated_conjecture,
( ssSkP4(X0)
| ndr1_1(X0) ) ).
cnf(clause72,negated_conjecture,
( ssSkP7(X0)
| c5_2(X0,a87) ) ).
cnf(clause132,negated_conjecture,
( ~ c2_2(X0,a101)
| ssSkP9(X0) ) ).
cnf(clause95,negated_conjecture,
( ssSkP1(X0)
| c7_2(X0,a2) ) ).
cnf(u2325,negated_conjecture,
( ~ c2_1(X0)
| ndr1_1(X0) ) ).
cnf(u2480,negated_conjecture,
( ~ c3_1(X0)
| c2_2(X0,a116)
| c2_1(X0)
| c1_1(X0) ) ).
cnf(u2011,negated_conjecture,
~ c5_1(a117) ).
cnf(clause157,negated_conjecture,
( ~ c4_2(X0,a1)
| ssSkP0(X0) ) ).
cnf(u2317,negated_conjecture,
( ~ c2_2(X0,X1)
| c3_2(X0,a7)
| c3_2(X0,X1)
| c4_2(X0,X1)
| ~ c8_1(X0) ) ).
cnf(clause39,negated_conjecture,
( ssSkP2(X0)
| ndr1_1(X0) ) ).
cnf(clause155,negated_conjecture,
( ~ c7_2(X0,a4)
| ssSkP2(X0) ) ).
cnf(u2412,negated_conjecture,
( c7_1(X0)
| c1_1(X0)
| c1_2(X0,a116) ) ).
cnf(clause81,negated_conjecture,
( ssSkP4(X0)
| c5_2(X0,a57) ) ).
cnf(u2115,negated_conjecture,
( ~ c3_1(X0)
| c4_2(X0,a70)
| c5_2(X0,a69) ) ).
cnf(u2479,negated_conjecture,
( ~ c5_1(X0)
| c2_2(X0,a116)
| c2_1(X0)
| c1_1(X0) ) ).
cnf(u2318,negated_conjecture,
( ~ c2_2(X0,X1)
| c6_2(X0,a7)
| c3_2(X0,X1)
| c4_2(X0,X1)
| ~ c8_1(X0) ) ).
cnf(clause20,negated_conjecture,
( ssSkP8(X0)
| ndr1_1(X0) ) ).
cnf(u2728,negated_conjecture,
c1_2(a53,a116) ).
cnf(clause64,negated_conjecture,
( ssSkP9(X0)
| c7_2(X0,a101) ) ).
cnf(u2331,negated_conjecture,
c1_2(a113,a116) ).
cnf(u2161,negated_conjecture,
~ c8_1(a136) ).
cnf(u2108,negated_conjecture,
c1_1(a81) ).
cnf(u2427,negated_conjecture,
( c2_2(X0,a116)
| ndr1_1(X0) ) ).
cnf(clause22,negated_conjecture,
( ssSkP7(X0)
| ndr1_1(X0) ) ).
cnf(u1993,negated_conjecture,
~ c3_1(a117) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN544-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n015.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 16:30:32 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running first-order theorem proving
% 0.10/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.91/1.37 % (2760027)Input is clausal, will run a generic CNF schedule.
% 3.91/1.37 % (2760118)dis-21_1_sil=8000:lcm=predicate:random_seed=1577870673:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.91/1.37 % (2760117)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1581292220:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.91/1.37 % (2760116)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2945202825:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.91/1.37 % (2760112)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=115708771:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.91/1.37 % (2760115)lrs+10_1_sil=8000:sp=occurrence:random_seed=1801667932:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.91/1.37 % (2760113)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3104091670:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.91/1.37 % (2760114)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1079574608:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.91/1.37 % (2760118)Instruction limit reached!
% 3.91/1.37 % (2760118)------------------------------
% 3.91/1.37 % (2760118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.37 % (2760118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.37 % (2760118)CaDiCaL version: 2.1.3
% 3.91/1.37 % (2760118)Termination reason: Instruction limit
% 3.91/1.37 % (2760118)Termination phase: Saturation
% 3.91/1.37 % (2760118)Time elapsed: 0.038 s
% 3.91/1.37 % (2760118)Peak memory usage: 91 MB
% 3.91/1.37 % (2760118)Instructions burned: 120 (million)
% 3.91/1.37 % (2760117)Refutation not found, incomplete strategy
% 3.91/1.37 % (2760117)------------------------------
% 3.91/1.37 % (2760117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.37 % (2760117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.37 % (2760117)CaDiCaL version: 2.1.3
% 3.91/1.37 % (2760117)Termination reason: Refutation not found, incomplete strategy
% 3.91/1.37 % (2760117)Time elapsed: 0.018 s
% 3.91/1.37 % (2760117)Peak memory usage: 89 MB
% 3.91/1.37 % (2760117)Instructions burned: 27 (million)
% 3.91/1.37 % (2760115)Instruction limit reached!
% 3.91/1.37 % (2760115)------------------------------
% 3.91/1.37 % (2760115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.37 % (2760115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.37 % (2760115)CaDiCaL version: 2.1.3
% 3.91/1.37 % (2760115)Termination reason: Instruction limit
% 3.91/1.37 % (2760115)Termination phase: Saturation
% 3.91/1.37 % (2760115)Time elapsed: 0.060 s
% 3.91/1.37 % (2760115)Peak memory usage: 90 MB
% 3.91/1.37 % (2760115)Instructions burned: 108 (million)
% 3.91/1.37 % (2760116)Instruction limit reached!
% 3.91/1.37 % (2760116)------------------------------
% 3.91/1.37 % (2760116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.37 % (2760116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.37 % (2760116)CaDiCaL version: 2.1.3
% 3.91/1.37 % (2760116)Termination reason: Instruction limit
% 3.91/1.37 % (2760116)Termination phase: Saturation
% 3.91/1.37 % (2760116)Time elapsed: 0.066 s
% 3.91/1.37 % (2760116)Peak memory usage: 90 MB
% 3.91/1.37 % (2760116)Instructions burned: 115 (million)
% 3.91/1.37 % (2760134)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=391453780:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.91/1.37 % (2760134)Refutation not found, incomplete strategy
% 3.91/1.37 % (2760134)------------------------------
% 3.91/1.37 % (2760134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.37 % (2760134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.37 % (2760134)CaDiCaL version: 2.1.3
% 3.91/1.37 % (2760134)Termination reason: Refutation not found, incomplete strategy
% 3.91/1.37 % (2760134)Time elapsed: 0.020 s
% 3.91/1.37 % (2760134)Peak memory usage: 90 MB
% 3.91/1.37 % (2760134)Instructions burned: 62 (million)
% 3.91/1.37 % (2760135)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2714789319:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.91/1.37 % (2760136)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1527754663:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.91/1.37 % (2760135)Refutation not found, incomplete strategy
% 3.91/1.37 % (2760135)------------------------------
% 3.91/1.37 % (2760135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.37 % (2760135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.37 % (2760135)CaDiCaL version: 2.1.3
% 3.91/1.37 % (2760135)Termination reason: Refutation not found, incomplete strategy
% 3.91/1.37 % (2760135)Time elapsed: 0.028 s
% 3.91/1.37 % (2760135)Peak memory usage: 89 MB
% 3.91/1.37 % (2760135)Instructions burned: 45 (million)
% 3.91/1.37 % (2760134)------------------------------
% 3.91/1.37 % (2760134)------------------------------
% 3.91/1.37 % (2760117)------------------------------
% 3.91/1.37 % (2760117)------------------------------
% 3.91/1.37 % (2760136)Instruction limit reached!
% 3.91/1.37 % (2760136)------------------------------
% 3.91/1.37 % (2760136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.37 % (2760136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.37 % (2760136)CaDiCaL version: 2.1.3
% 3.91/1.37 % (2760136)Termination reason: Instruction limit
% 3.91/1.37 % (2760136)Termination phase: Saturation
% 3.91/1.37 % (2760136)Time elapsed: 0.119 s
% 3.91/1.37 % (2760136)Peak memory usage: 91 MB
% 3.91/1.37 % (2760136)Instructions burned: 219 (million)
% 3.91/1.37 % (2760162)lrs+10_64_to=lpo:sil=8000:random_seed=2834303227:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 3.91/1.37 % (2760162)First to succeed.
% 3.91/1.37 % (2760162)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2760027"
% 3.91/1.37 % (2760164)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4133925820:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 3.91/1.37 % (2760164)Refutation not found, incomplete strategy
% 3.91/1.37 % (2760164)------------------------------
% 3.91/1.37 % (2760164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.37 % (2760164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.37 % (2760164)CaDiCaL version: 2.1.3
% 3.91/1.37 % (2760164)Termination reason: Refutation not found, incomplete strategy
% 3.91/1.37 % (2760164)Time elapsed: 0.015 s
% 3.91/1.37 % (2760164)Peak memory usage: 89 MB
% 3.91/1.37 % (2760164)Instructions burned: 22 (million)
% 3.91/1.37 % (2760183)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4282248425:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 3.91/1.37 % (2760135)------------------------------
% 3.91/1.37 % (2760135)------------------------------
% 3.91/1.37 % SZS status Satisfiable for theBenchmark
% 3.91/1.37 % SZS output start Saturation.
% See solution above
% 5.41/1.56 % SZS output start Definitions and Model Updates.
% 5.41/1.56 for all inputs,
% 5.41/1.56 define ssSkC23 := $true
% 5.41/1.56 for all inputs,
% 5.41/1.56 define ssSkC1 := $true
% 5.41/1.56 for all inputs,
% 5.41/1.56 define ssSkC19 := $true
% 5.41/1.56 for all inputs,
% 5.41/1.56 define ssSkC3 := $true
% 5.41/1.56 % SZS output end Definitions and Model Updates.
% 5.41/1.56 % (2760162)------------------------------
% 5.41/1.56 % (2760162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.56 % (2760162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.56 % (2760162)CaDiCaL version: 2.1.3
% 5.41/1.56 % (2760162)Termination reason: Satisfiable
% 5.41/1.56 % (2760162)Time elapsed: 0.013 s
% 5.41/1.56 % (2760162)Peak memory usage: 89 MB
% 5.41/1.56 % (2760162)Instructions burned: 36 (million)
% 5.41/1.56 % (2760162)------------------------------
% 5.41/1.56 % (2760162)------------------------------
% 5.41/1.56 % (2760027)Success in time 0.68 s
% 5.41/1.56 % Vampire exiting
%------------------------------------------------------------------------------