%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN437+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 01:50:42 PM UTC 2026
% Result : CounterSatisfiable 2.42s 1.14s
% Output : Saturation 4.02s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u293,negated_conjecture,
( ~ c2_1(X79)
| c1_1(X79)
| ~ c0_1(X79) ) ).
cnf(u601,negated_conjecture,
ndr1_0 ).
cnf(u830,negated_conjecture,
~ hskp34 ).
cnf(u591,negated_conjecture,
~ hskp51 ).
cnf(u309,negated_conjecture,
hskp17 ).
cnf(u606,negated_conjecture,
~ hskp50 ).
cnf(u942,negated_conjecture,
~ hskp26 ).
cnf(u956,negated_conjecture,
~ hskp25 ).
cnf(u322,negated_conjecture,
( c2_1(X77)
| c1_1(X77)
| c0_1(X77) ) ).
cnf(u329,negated_conjecture,
( c2_1(X75)
| c3_1(X75)
| ~ c1_1(X75) ) ).
cnf(u332,negated_conjecture,
( c2_1(X74)
| ~ c3_1(X74)
| c1_1(X74) ) ).
cnf(u336,negated_conjecture,
( c2_1(X72)
| ~ c1_1(X72)
| ~ c3_1(X72) ) ).
cnf(u339,negated_conjecture,
( c2_1(X71)
| ~ c0_1(X71)
| ~ c1_1(X71) ) ).
cnf(u620,negated_conjecture,
~ hskp49 ).
cnf(u1152,negated_conjecture,
~ hskp11 ).
cnf(u353,negated_conjecture,
( c2_1(X67)
| ~ c0_1(X67)
| c3_1(X67) ) ).
cnf(u746,negated_conjecture,
~ hskp40 ).
cnf(u662,negated_conjecture,
~ hskp46 ).
cnf(u364,negated_conjecture,
hskp48 ).
cnf(u970,negated_conjecture,
~ hskp24 ).
cnf(u371,negated_conjecture,
( c3_1(X64)
| c1_1(X64)
| ~ c0_1(X64) ) ).
cnf(u375,negated_conjecture,
( ~ c2_1(X61)
| ~ c3_1(X61)
| c1_1(X61) ) ).
cnf(u802,negated_conjecture,
~ hskp36 ).
cnf(u984,negated_conjecture,
~ hskp23 ).
cnf(u388,negated_conjecture,
( c2_1(X59)
| ~ c3_1(X59)
| c0_1(X59) ) ).
cnf(u998,negated_conjecture,
~ hskp22 ).
cnf(u1012,negated_conjecture,
~ hskp21 ).
cnf(u398,negated_conjecture,
( ~ c3_1(X58)
| ~ c0_1(X58)
| ~ c1_1(X58) ) ).
cnf(u648,negated_conjecture,
~ hskp47 ).
cnf(u405,negated_conjecture,
hskp20 ).
cnf(u1040,negated_conjecture,
~ hskp19 ).
cnf(u420,negated_conjecture,
( ~ c2_1(X52)
| ~ c1_1(X52)
| c3_1(X52) ) ).
cnf(u1054,negated_conjecture,
~ hskp18 ).
cnf(u788,negated_conjecture,
~ hskp37 ).
cnf(u430,negated_conjecture,
( c3_1(X50)
| c0_1(X50)
| ~ c1_1(X50) ) ).
cnf(u1082,negated_conjecture,
~ hskp16 ).
cnf(u1096,negated_conjecture,
~ hskp15 ).
cnf(u676,negated_conjecture,
~ hskp45 ).
cnf(u447,negated_conjecture,
( ~ c2_1(X47)
| ~ c1_1(X47)
| ~ c0_1(X47) ) ).
cnf(u690,negated_conjecture,
~ hskp44 ).
cnf(u455,negated_conjecture,
( ~ c3_1(X44)
| c1_1(X44)
| ~ c0_1(X44) ) ).
cnf(u1110,negated_conjecture,
~ hskp14 ).
cnf(u704,negated_conjecture,
~ hskp43 ).
cnf(u718,negated_conjecture,
~ hskp42 ).
cnf(u732,negated_conjecture,
~ hskp41 ).
cnf(u1124,negated_conjecture,
~ hskp13 ).
cnf(u484,negated_conjecture,
hskp39 ).
cnf(u1138,negated_conjecture,
~ hskp12 ).
cnf(u774,negated_conjecture,
~ hskp38 ).
cnf(u1278,negated_conjecture,
~ hskp2 ).
cnf(u502,negated_conjecture,
hskp3 ).
cnf(u506,negated_conjecture,
( c2_1(X30)
| c1_1(X30)
| ~ c0_1(X30) ) ).
cnf(u510,negated_conjecture,
( ~ c3_1(X27)
| c1_1(X27)
| c0_1(X27) ) ).
cnf(u1306,negated_conjecture,
~ hskp0 ).
cnf(u1166,negated_conjecture,
~ hskp10 ).
cnf(u1180,negated_conjecture,
~ hskp9 ).
cnf(u1194,negated_conjecture,
~ hskp8 ).
cnf(u816,negated_conjecture,
~ hskp35 ).
cnf(u1208,negated_conjecture,
~ hskp7 ).
cnf(u540,negated_conjecture,
( ~ c2_1(X15)
| c3_1(X15)
| ~ c0_1(X15) ) ).
cnf(u544,negated_conjecture,
hskp6 ).
cnf(u844,negated_conjecture,
~ hskp33 ).
cnf(u858,negated_conjecture,
~ hskp32 ).
cnf(u554,negated_conjecture,
( c3_1(X13)
| ~ c1_1(X13)
| ~ c0_1(X13) ) ).
cnf(u1236,negated_conjecture,
~ hskp5 ).
cnf(u872,negated_conjecture,
~ hskp31 ).
cnf(u1250,negated_conjecture,
~ hskp4 ).
cnf(u886,negated_conjecture,
~ hskp30 ).
cnf(u900,negated_conjecture,
~ hskp29 ).
cnf(u1292,negated_conjecture,
~ hskp1 ).
cnf(u928,negated_conjecture,
~ hskp27 ).
cnf(u1364,negated_conjecture,
~ c0_1(a464) ).
cnf(u599,negated_conjecture,
c1_1(a464) ).
cnf(u1556,negated_conjecture,
~ c0_1(a462) ).
cnf(u614,negated_conjecture,
~ c1_1(a462) ).
cnf(u2051,negated_conjecture,
~ c0_1(a459) ).
cnf(u624,negated_conjecture,
~ c1_1(a459) ).
cnf(u633,negated_conjecture,
c1_1(a455) ).
cnf(u638,negated_conjecture,
c2_1(a455) ).
cnf(u642,negated_conjecture,
c3_1(a455) ).
cnf(u2319,negated_conjecture,
~ c1_1(a449) ).
cnf(u652,negated_conjecture,
~ c3_1(a449) ).
cnf(u2318,negated_conjecture,
~ c0_1(a449) ).
cnf(u661,negated_conjecture,
c1_1(a446) ).
cnf(u1350,negated_conjecture,
c3_1(a446) ).
cnf(u1816,negated_conjecture,
~ c0_1(a439) ).
cnf(u1700,negated_conjecture,
~ c0_1(a435) ).
cnf(u722,negated_conjecture,
~ c3_1(a435) ).
cnf(u745,negated_conjecture,
c2_1(a432) ).
cnf(u750,negated_conjecture,
c1_1(a432) ).
cnf(u1596,negated_conjecture,
c3_1(a432) ).
cnf(u759,negated_conjecture,
c2_1(a431) ).
cnf(u764,negated_conjecture,
c1_1(a431) ).
cnf(u768,negated_conjecture,
c3_1(a431) ).
cnf(u1512,negated_conjecture,
~ c1_1(a429) ).
cnf(u778,negated_conjecture,
~ c3_1(a429) ).
cnf(u782,negated_conjecture,
~ c0_1(a429) ).
cnf(u1612,negated_conjecture,
~ c3_1(a427) ).
cnf(u796,negated_conjecture,
~ c1_1(a427) ).
cnf(u1845,negated_conjecture,
~ c3_1(a419) ).
cnf(u1740,negated_conjecture,
~ c1_1(a419) ).
cnf(u1475,negated_conjecture,
~ c0_1(a415) ).
cnf(u852,negated_conjecture,
c1_1(a415) ).
cnf(u1530,negated_conjecture,
~ c0_1(a412) ).
cnf(u1525,negated_conjecture,
c3_1(a412) ).
cnf(u913,negated_conjecture,
c2_1(a408) ).
cnf(u918,negated_conjecture,
~ c3_1(a408) ).
cnf(u922,negated_conjecture,
~ c0_1(a408) ).
cnf(u1983,negated_conjecture,
~ c1_1(a404) ).
cnf(u936,negated_conjecture,
~ c3_1(a404) ).
cnf(u941,negated_conjecture,
~ c0_1(a461) ).
cnf(u950,negated_conjecture,
c1_1(a461) ).
cnf(u974,negated_conjecture,
~ c3_1(a454) ).
cnf(u1647,negated_conjecture,
~ c0_1(a454) ).
cnf(u1002,negated_conjecture,
~ c3_1(a451) ).
cnf(u1006,negated_conjecture,
~ c0_1(a451) ).
cnf(u1025,negated_conjecture,
~ c3_1(a448) ).
cnf(u1030,negated_conjecture,
~ c1_1(a448) ).
cnf(u1034,negated_conjecture,
~ c0_1(a448) ).
cnf(u1039,negated_conjecture,
~ c1_1(a445) ).
cnf(u1628,negated_conjecture,
~ c0_1(a445) ).
cnf(u1053,negated_conjecture,
~ c1_1(a444) ).
cnf(u2058,negated_conjecture,
~ c0_1(a444) ).
cnf(u1067,negated_conjecture,
~ c0_1(a443) ).
cnf(u1072,negated_conjecture,
~ c1_1(a443) ).
cnf(u1076,negated_conjecture,
c2_1(a443) ).
cnf(u1687,negated_conjecture,
~ c1_1(a441) ).
cnf(u1090,negated_conjecture,
~ c0_1(a441) ).
cnf(u2584,negated_conjecture,
c3_1(a440) ).
cnf(u2572,negated_conjecture,
~ c0_1(a440) ).
cnf(u1104,negated_conjecture,
c2_1(a440) ).
cnf(u1114,negated_conjecture,
~ c1_1(a437) ).
cnf(u1118,negated_conjecture,
~ c3_1(a437) ).
cnf(u1123,negated_conjecture,
~ c0_1(a433) ).
cnf(u1128,negated_conjecture,
~ c3_1(a433) ).
cnf(u1796,negated_conjecture,
~ c3_1(a430) ).
cnf(u1718,negated_conjecture,
~ c1_1(a430) ).
cnf(u1160,negated_conjecture,
~ c0_1(a428) ).
cnf(u2061,negated_conjecture,
~ c0_1(a422) ).
cnf(u1724,negated_conjecture,
c1_1(a422) ).
cnf(u1193,negated_conjecture,
~ c3_1(a420) ).
cnf(u1732,negated_conjecture,
~ c1_1(a420) ).
cnf(u1221,negated_conjecture,
~ c1_1(a416) ).
cnf(u1226,negated_conjecture,
~ c3_1(a416) ).
cnf(u1230,negated_conjecture,
c2_1(a416) ).
cnf(u1249,negated_conjecture,
~ c3_1(a411) ).
cnf(u1254,negated_conjecture,
~ c1_1(a411) ).
cnf(u1263,negated_conjecture,
~ c3_1(a407) ).
cnf(u1268,negated_conjecture,
~ c0_1(a407) ).
cnf(u1272,negated_conjecture,
~ c1_1(a407) ).
cnf(u1824,negated_conjecture,
~ c0_1(a405) ).
cnf(u1692,negated_conjecture,
~ c1_1(a405) ).
cnf(u1291,negated_conjecture,
~ c1_1(a403) ).
cnf(u1305,negated_conjecture,
~ c1_1(a402) ).
cnf(u1314,negated_conjecture,
~ c3_1(a402) ).
cnf(u1433,negated_conjecture,
~ c0_1(a455) ).
cnf(u1347,negated_conjecture,
c3_1(a464) ).
cnf(u1368,negated_conjecture,
~ c0_1(a446) ).
cnf(u1515,negated_conjecture,
~ c1_1(a433) ).
cnf(u1524,negated_conjecture,
c1_1(a412) ).
cnf(u1593,negated_conjecture,
~ c0_1(a432) ).
cnf(u2154,negated_conjecture,
~ c0_1(a427) ).
cnf(u1684,negated_conjecture,
~ c1_1(a451) ).
cnf(u1681,negated_conjecture,
~ c1_1(a454) ).
cnf(u1663,negated_conjecture,
~ c0_1(a403) ).
cnf(u1794,negated_conjecture,
~ c3_1(a441) ).
cnf(u1706,negated_conjecture,
~ c1_1(a435) ).
cnf(u1820,negated_conjecture,
~ c0_1(a430) ).
cnf(u1728,negated_conjecture,
c3_1(a422) ).
cnf(u1822,negated_conjecture,
~ c0_1(a420) ).
cnf(u2104,negated_conjecture,
~ c0_1(a419) ).
cnf(u1767,negated_conjecture,
~ c3_1(a459) ).
cnf(u1771,negated_conjecture,
c1_1(a439) ).
cnf(u1850,negated_conjecture,
~ c3_1(a443) ).
cnf(u1863,negated_conjecture,
~ c1_1(a408) ).
cnf(u1975,negated_conjecture,
~ c0_1(a431) ).
cnf(u1988,negated_conjecture,
~ c0_1(a404) ).
cnf(u2013,negated_conjecture,
~ c0_1(a437) ).
cnf(u2185,negated_conjecture,
~ c0_1(a411) ).
cnf(u2344,negated_conjecture,
~ c0_1(a402) ).
cnf(u2400,negated_conjecture,
~ c0_1(a416) ).
cnf(u2586,negated_conjecture,
c1_1(a440) ).
cnf(u2289,negated_conjecture,
( c3_1(X0)
| ~ c0_1(X0) ) ).
cnf(u2218,negated_conjecture,
( ~ c3_1(X0)
| c1_1(X0) ) ).
cnf(u2136,negated_conjecture,
( ~ c0_1(X0)
| ~ c1_1(X0) ) ).
cnf(u1554,negated_conjecture,
( ~ c0_1(X0)
| c1_1(X0) ) ).
cnf(u1678,negated_conjecture,
( c3_1(X0)
| ~ c1_1(X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN437+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n015.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 16:03:32 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 2.42/1.14 % (2749814)Detected formulas, will run a generic FOF schedule.
% 2.42/1.14 % (2749823)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2047817142:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.42/1.14 % (2749823)Instruction limit reached!
% 2.42/1.14 % (2749823)------------------------------
% 2.42/1.14 % (2749823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.42/1.14 % (2749823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/1.14 % (2749823)CaDiCaL version: 2.1.3
% 2.42/1.14 % (2749823)Termination reason: Instruction limit
% 2.42/1.14 % (2749823)Termination phase: Saturation
% 2.42/1.14 % (2749823)Time elapsed: 0.032 s
% 2.42/1.14 % (2749823)Peak memory usage: 88 MB
% 2.42/1.14 % (2749823)Instructions burned: 123 (million)
% 2.42/1.14 % (2749821)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=2422718765:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.42/1.14 % (2749819)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=4158524054:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.42/1.14 % (2749820)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=1985216414:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.42/1.14 % (2749822)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3579382870:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.42/1.14 % (2749824)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2841287116:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.42/1.14 % (2749825)dis-21_1_sil=8000:lcm=predicate:random_seed=2892061695: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)
% 2.42/1.14 % (2749822)Refutation not found, incomplete strategy
% 2.42/1.14 % (2749822)------------------------------
% 2.42/1.14 % (2749822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.42/1.14 % (2749822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/1.14 % (2749822)CaDiCaL version: 2.1.3
% 2.42/1.14 % (2749822)Termination reason: Refutation not found, incomplete strategy
% 2.42/1.14 % (2749822)Time elapsed: 0.024 s
% 2.42/1.14 % (2749822)Peak memory usage: 89 MB
% 2.42/1.14 % (2749822)Instructions burned: 37 (million)
% 2.42/1.14 % (2749825)First to succeed.
% 2.42/1.14 % (2749825)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2749814"
% 2.42/1.14 % (2749824)Refutation not found, incomplete strategy
% 2.42/1.14 % (2749824)------------------------------
% 2.42/1.14 % (2749824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.42/1.14 % (2749824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/1.14 % (2749824)CaDiCaL version: 2.1.3
% 2.42/1.14 % (2749824)Termination reason: Refutation not found, incomplete strategy
% 2.42/1.14 % (2749824)Time elapsed: 0.034 s
% 2.42/1.14 % (2749824)Peak memory usage: 89 MB
% 2.42/1.14 % (2749824)Instructions burned: 53 (million)
% 2.42/1.14 % (2749827)lrs+10_1_sil=8000:sp=occurrence:random_seed=319232667:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.42/1.14 % (2749827)Also succeeded, but the first one will report.
% 2.42/1.14 % (2749822)------------------------------
% 2.42/1.14 % (2749822)------------------------------
% 2.42/1.14 % (2749824)------------------------------
% 2.42/1.14 % (2749824)------------------------------
% 2.42/1.14 % SZS status CounterSatisfiable for theBenchmark
% 2.42/1.14 % SZS output start Saturation.
% See solution above
% 4.02/1.34 % SZS output start Definitions and Model Updates.
% 4.02/1.34 % SZS output end Definitions and Model Updates.
% 4.02/1.34 % (2749825)------------------------------
% 4.02/1.34 % (2749825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.34 % (2749825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.34 % (2749825)CaDiCaL version: 2.1.3
% 4.02/1.34 % (2749825)Termination reason: Satisfiable
% 4.02/1.34 % (2749825)Time elapsed: 0.030 s
% 4.02/1.34 % (2749825)Peak memory usage: 90 MB
% 4.02/1.34 % (2749825)Instructions burned: 46 (million)
% 4.02/1.34 % (2749825)------------------------------
% 4.02/1.34 % (2749825)------------------------------
% 4.02/1.34 % (2749814)Success in time 0.478 s
% 4.02/1.34 % Vampire exiting
%------------------------------------------------------------------------------