%------------------------------------------------------------------------------
% 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 : n011.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 : Satisfiable 2.95s 1.13s
% Output : Saturation 3.74s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u265,negated_conjecture,
ndr1_0 ).
cnf(u269,negated_conjecture,
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ) ).
cnf(u273,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ).
cnf(u276,negated_conjecture,
( ~ c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ) ).
cnf(u280,negated_conjecture,
( ~ c0_1(X2)
| c3_1(X2)
| c2_1(X2) ) ).
cnf(u284,negated_conjecture,
( ~ c0_1(X0)
| c1_1(X0)
| c3_1(X0) ) ).
cnf(u291,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) ).
cnf(u295,negated_conjecture,
~ hskp7 ).
cnf(u309,negated_conjecture,
( ~ c1_1(X0)
| c3_1(X0)
| c2_1(X0) ) ).
cnf(u313,negated_conjecture,
~ hskp1 ).
cnf(u317,negated_conjecture,
( ~ c2_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ) ).
cnf(u322,negated_conjecture,
hskp34 ).
cnf(u325,negated_conjecture,
( ~ c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ) ).
cnf(u330,negated_conjecture,
hskp36 ).
cnf(u337,negated_conjecture,
~ hskp19 ).
cnf(u345,negated_conjecture,
~ hskp11 ).
cnf(u349,negated_conjecture,
( ~ c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ) ).
cnf(u353,negated_conjecture,
( ~ c3_1(X0)
| c1_1(X0)
| c0_1(X0) ) ).
cnf(u361,negated_conjecture,
~ hskp5 ).
cnf(u365,negated_conjecture,
( ~ c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ) ).
cnf(u369,negated_conjecture,
~ hskp46 ).
cnf(u377,negated_conjecture,
~ hskp44 ).
cnf(u382,negated_conjecture,
~ hskp43 ).
cnf(u386,negated_conjecture,
( ~ c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ).
cnf(u394,negated_conjecture,
hskp0 ).
cnf(u397,negated_conjecture,
( ~ c1_1(X1)
| c3_1(X1)
| c0_1(X1) ) ).
cnf(u401,negated_conjecture,
~ hskp32 ).
cnf(u413,negated_conjecture,
~ hskp40 ).
cnf(u418,negated_conjecture,
~ hskp37 ).
cnf(u423,negated_conjecture,
~ hskp16 ).
cnf(u431,negated_conjecture,
~ hskp14 ).
cnf(u439,negated_conjecture,
~ hskp42 ).
cnf(u445,negated_conjecture,
~ hskp31 ).
cnf(u451,negated_conjecture,
hskp4 ).
cnf(u455,negated_conjecture,
~ hskp21 ).
cnf(u459,negated_conjecture,
~ hskp47 ).
cnf(u464,negated_conjecture,
~ hskp15 ).
cnf(u468,negated_conjecture,
~ hskp45 ).
cnf(u473,negated_conjecture,
~ hskp49 ).
cnf(u478,negated_conjecture,
~ hskp20 ).
cnf(u483,negated_conjecture,
~ hskp18 ).
cnf(u488,negated_conjecture,
hskp17 ).
cnf(u492,negated_conjecture,
~ hskp41 ).
cnf(u496,negated_conjecture,
~ hskp13 ).
cnf(u501,negated_conjecture,
~ hskp12 ).
cnf(u505,negated_conjecture,
~ hskp38 ).
cnf(u510,negated_conjecture,
~ hskp2 ).
cnf(u514,negated_conjecture,
~ hskp27 ).
cnf(u519,negated_conjecture,
~ hskp23 ).
cnf(u523,negated_conjecture,
~ hskp22 ).
cnf(u527,negated_conjecture,
( ~ c3_1(X0)
| c2_1(X0)
| c0_1(X0) ) ).
cnf(u531,negated_conjecture,
~ hskp10 ).
cnf(u535,negated_conjecture,
~ hskp9 ).
cnf(u540,negated_conjecture,
~ hskp8 ).
cnf(u544,negated_conjecture,
~ hskp35 ).
cnf(u550,negated_conjecture,
hskp6 ).
cnf(u553,negated_conjecture,
~ hskp33 ).
cnf(u558,negated_conjecture,
~ hskp30 ).
cnf(u562,negated_conjecture,
~ hskp29 ).
cnf(u568,negated_conjecture,
hskp26 ).
cnf(u571,negated_conjecture,
~ hskp25 ).
cnf(u577,negated_conjecture,
hskp39 ).
cnf(u582,negated_conjecture,
~ c1_1(a402) ).
cnf(u587,negated_conjecture,
~ c2_1(a402) ).
cnf(u592,negated_conjecture,
~ c3_1(a402) ).
cnf(u596,negated_conjecture,
c1_1(a403) ).
cnf(u601,negated_conjecture,
c2_1(a405) ).
cnf(u606,negated_conjecture,
hskp3 ).
cnf(u611,negated_conjecture,
~ c3_1(a407) ).
cnf(u616,negated_conjecture,
~ c0_1(a407) ).
cnf(u621,negated_conjecture,
~ c1_1(a407) ).
cnf(u626,negated_conjecture,
~ c3_1(a411) ).
cnf(u631,negated_conjecture,
~ c1_1(a411) ).
cnf(u636,negated_conjecture,
~ c2_1(a411) ).
cnf(u641,negated_conjecture,
~ c3_1(a413) ).
cnf(u646,negated_conjecture,
~ c1_1(a413) ).
cnf(u651,negated_conjecture,
~ c1_1(a416) ).
cnf(u656,negated_conjecture,
~ c3_1(a416) ).
cnf(u671,negated_conjecture,
~ c3_1(a420) ).
cnf(u675,negated_conjecture,
c2_1(a420) ).
cnf(u681,negated_conjecture,
~ c0_1(a421) ).
cnf(u695,negated_conjecture,
c2_1(a428) ).
cnf(u701,negated_conjecture,
~ c1_1(a428) ).
cnf(u706,negated_conjecture,
~ c0_1(a428) ).
cnf(u710,negated_conjecture,
c2_1(a430) ).
cnf(u730,negated_conjecture,
c2_1(a437) ).
cnf(u736,negated_conjecture,
~ c1_1(a437) ).
cnf(u741,negated_conjecture,
~ c3_1(a437) ).
cnf(u746,negated_conjecture,
~ c3_1(a440) ).
cnf(u761,negated_conjecture,
~ c0_1(a443) ).
cnf(u766,negated_conjecture,
~ c1_1(a443) ).
cnf(u800,negated_conjecture,
c2_1(a450) ).
cnf(u806,negated_conjecture,
~ c0_1(a450) ).
cnf(u810,negated_conjecture,
c2_1(a451) ).
cnf(u815,negated_conjecture,
c3_1(a451) ).
cnf(u821,negated_conjecture,
~ c0_1(a451) ).
cnf(u826,negated_conjecture,
~ c0_1(a452) ).
cnf(u830,negated_conjecture,
c1_1(a452) ).
cnf(u836,negated_conjecture,
~ hskp24 ).
cnf(u839,negated_conjecture,
c2_1(a454) ).
cnf(u845,negated_conjecture,
~ c3_1(a454) ).
cnf(u850,negated_conjecture,
~ c0_1(a460) ).
cnf(u855,negated_conjecture,
~ c0_1(a461) ).
cnf(u859,negated_conjecture,
c2_1(a404) ).
cnf(u865,negated_conjecture,
~ c3_1(a404) ).
cnf(u870,negated_conjecture,
~ hskp28 ).
cnf(u884,negated_conjecture,
~ c3_1(a409) ).
cnf(u889,negated_conjecture,
~ c1_1(a409) ).
cnf(u893,negated_conjecture,
c2_1(a410) ).
cnf(u899,negated_conjecture,
~ c0_1(a410) ).
cnf(u918,negated_conjecture,
c3_1(a415) ).
cnf(u924,negated_conjecture,
~ c0_1(a417) ).
cnf(u929,negated_conjecture,
~ c0_1(a424) ).
cnf(u933,negated_conjecture,
c2_1(a427) ).
cnf(u939,negated_conjecture,
~ c1_1(a427) ).
cnf(u944,negated_conjecture,
~ c3_1(a429) ).
cnf(u949,negated_conjecture,
~ c0_1(a429) ).
cnf(u954,negated_conjecture,
~ c3_1(a432) ).
cnf(u973,negated_conjecture,
c2_1(a439) ).
cnf(u979,negated_conjecture,
~ c3_1(a446) ).
cnf(u983,negated_conjecture,
c2_1(a446) ).
cnf(u1004,negated_conjecture,
~ hskp50 ).
cnf(u1007,negated_conjecture,
c1_1(a462) ).
cnf(u1013,negated_conjecture,
~ hskp51 ).
cnf(u1016,negated_conjecture,
c2_1(a464) ).
cnf(u1022,negated_conjecture,
c3_1(a403) ).
cnf(u1027,negated_conjecture,
c2_1(a403) ).
cnf(u1031,negated_conjecture,
~ c0_1(a405) ).
cnf(u1036,negated_conjecture,
~ c1_1(a405) ).
cnf(u1041,negated_conjecture,
~ c0_1(a413) ).
cnf(u1047,negated_conjecture,
c2_1(a416) ).
cnf(u1051,negated_conjecture,
~ c1_1(a418) ).
cnf(u1056,negated_conjecture,
~ c1_1(a420) ).
cnf(u1062,negated_conjecture,
c2_1(a421) ).
cnf(u1067,negated_conjecture,
c3_1(a421) ).
cnf(u1077,negated_conjecture,
c3_1(a430) ).
cnf(u1082,negated_conjecture,
c1_1(a430) ).
cnf(u1086,negated_conjecture,
~ c0_1(a440) ).
cnf(u1092,negated_conjecture,
c2_1(a440) ).
cnf(u1102,negated_conjecture,
c2_1(a443) ).
cnf(u1122,negated_conjecture,
c3_1(a450) ).
cnf(u1127,negated_conjecture,
c3_1(a452) ).
cnf(u1131,negated_conjecture,
~ c0_1(a454) ).
cnf(u1137,negated_conjecture,
c2_1(a460) ).
cnf(u1141,negated_conjecture,
~ c1_1(a460) ).
cnf(u1147,negated_conjecture,
c3_1(a461) ).
cnf(u1152,negated_conjecture,
c1_1(a461) ).
cnf(u1156,negated_conjecture,
~ c1_1(a404) ).
cnf(u1166,negated_conjecture,
~ c0_1(a409) ).
cnf(u1172,negated_conjecture,
c1_1(a410) ).
cnf(u1191,negated_conjecture,
~ c0_1(a415) ).
cnf(u1197,negated_conjecture,
c1_1(a415) ).
cnf(u1202,negated_conjecture,
c2_1(a417) ).
cnf(u1207,negated_conjecture,
c1_1(a417) ).
cnf(u1227,negated_conjecture,
c2_1(a424) ).
cnf(u1232,negated_conjecture,
c3_1(a424) ).
cnf(u1236,negated_conjecture,
~ c3_1(a427) ).
cnf(u1241,negated_conjecture,
~ c1_1(a429) ).
cnf(u1247,negated_conjecture,
c2_1(a431) ).
cnf(u1252,negated_conjecture,
c1_1(a431) ).
cnf(u1257,negated_conjecture,
c3_1(a431) ).
cnf(u1262,negated_conjecture,
c2_1(a432) ).
cnf(u1266,negated_conjecture,
~ c1_1(a432) ).
cnf(u1316,negated_conjecture,
~ c0_1(a439) ).
cnf(u1322,negated_conjecture,
c3_1(a439) ).
cnf(u1326,negated_conjecture,
~ c1_1(a446) ).
cnf(u1342,negated_conjecture,
c1_1(a455) ).
cnf(u1345,negated_conjecture,
hskp48 ).
cnf(u1351,negated_conjecture,
c2_1(a455) ).
cnf(u1356,negated_conjecture,
c3_1(a455) ).
cnf(u1365,negated_conjecture,
~ c0_1(a462) ).
cnf(u1371,negated_conjecture,
c3_1(a462) ).
cnf(u1375,negated_conjecture,
~ c0_1(a464) ).
cnf(u1381,negated_conjecture,
c1_1(a464) ).
cnf(u2122,negated_conjecture,
c2_1(a452) ).
cnf(u2277,negated_conjecture,
c1_1(a451) ).
cnf(u1645,negated_conjecture,
( ~ c1_1(X1)
| c3_1(X1) ) ).
cnf(u2272,negated_conjecture,
c1_1(a450) ).
cnf(u1991,negated_conjecture,
c3_1(a417) ).
cnf(u2266,negated_conjecture,
c1_1(a424) ).
cnf(u2241,negated_conjecture,
~ c0_1(X1) ).
cnf(u1881,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1) ) ).
cnf(u1992,negated_conjecture,
c3_1(a410) ).
cnf(u1441,negated_conjecture,
( ~ c1_1(X0)
| c2_1(X0) ) ).
cnf(u1856,negated_conjecture,
c2_1(a462) ).
cnf(u1767,negated_conjecture,
c2_1(a461) ).
cnf(u1987,negated_conjecture,
c3_1(a464) ).
cnf(u2264,negated_conjecture,
c1_1(a439) ).
cnf(u1442,negated_conjecture,
( ~ c3_1(X1)
| c1_1(X1) ) ).
cnf(u2274,negated_conjecture,
c1_1(a421) ).
cnf(u2238,negated_conjecture,
( ~ c0_1(X0)
| c2_1(X0) ) ).
cnf(u1539,negated_conjecture,
c2_1(a415) ).
%------------------------------------------------------------------------------
%----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
% 0.09/0.19 % Computer : n011.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 16:00:16 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 2.95/1.13 % (3497894)Input is clausal, will run a generic CNF schedule.
% 2.95/1.13 % (3497900)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3979688991:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.95/1.13 % (3497904)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3236235895:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.95/1.13 % (3497901)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3415446813:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.95/1.13 % (3497902)lrs+10_1_sil=8000:sp=occurrence:random_seed=1874919632:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.95/1.13 % (3497905)dis-21_1_sil=8000:lcm=predicate:random_seed=1284903253: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)
% 2.95/1.13 % (3497903)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=666481378:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.95/1.13 % (3497899)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=1906964017:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.95/1.13 % (3497902)First to succeed.
% 2.95/1.13 % (3497902)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3497894"
% 2.95/1.13 % (3497904)Refutation not found, incomplete strategy
% 2.95/1.13 % (3497904)------------------------------
% 2.95/1.13 % (3497904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.13 % (3497904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.13 % (3497904)CaDiCaL version: 2.1.3
% 2.95/1.13 % (3497904)Termination reason: Refutation not found, incomplete strategy
% 2.95/1.13 % (3497904)Time elapsed: 0.022 s
% 2.95/1.13 % (3497904)Peak memory usage: 89 MB
% 2.95/1.13 % (3497904)Instructions burned: 34 (million)
% 2.95/1.13 % (3497903)Refutation not found, incomplete strategy
% 2.95/1.13 % (3497903)------------------------------
% 2.95/1.13 % (3497903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.13 % (3497903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.13 % (3497903)CaDiCaL version: 2.1.3
% 2.95/1.13 % (3497903)Termination reason: Refutation not found, incomplete strategy
% 2.95/1.13 % (3497903)Time elapsed: 0.029 s
% 2.95/1.13 % (3497903)Peak memory usage: 89 MB
% 2.95/1.13 % (3497903)Instructions burned: 44 (million)
% 2.95/1.13 % (3497905)Also succeeded, but the first one will report.
% 2.95/1.13 % (3497904)------------------------------
% 2.95/1.13 % (3497904)------------------------------
% 2.95/1.13 % (3497903)------------------------------
% 2.95/1.13 % (3497903)------------------------------
% 2.95/1.13 % SZS status Satisfiable for theBenchmark
% 2.95/1.13 % SZS output start Saturation.
% See solution above
% 3.74/1.22 % SZS output start Definitions and Model Updates.
% 3.74/1.22 % SZS output end Definitions and Model Updates.
% 3.74/1.22 % (3497902)------------------------------
% 3.74/1.22 % (3497902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.22 % (3497902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.22 % (3497902)CaDiCaL version: 2.1.3
% 3.74/1.22 % (3497902)Termination reason: Satisfiable
% 3.74/1.22 % (3497902)Time elapsed: 0.020 s
% 3.74/1.22 % (3497902)Peak memory usage: 89 MB
% 3.74/1.22 % (3497902)Instructions burned: 29 (million)
% 3.74/1.22 % (3497902)------------------------------
% 3.74/1.22 % (3497902)------------------------------
% 3.74/1.22 % (3497894)Success in time 0.458 s
% 3.74/1.22 % Vampire exiting
%------------------------------------------------------------------------------