%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN435+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 : n007.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 01:50:38 PM UTC 2026
% Result : CounterSatisfiable 0.68s 1.01s
% Output : Saturation 2.87s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u927,negated_conjecture,
~ hskp26 ).
cnf(u281,negated_conjecture,
hskp41 ).
cnf(u572,negated_conjecture,
ndr1_0 ).
cnf(u297,negated_conjecture,
( c0_1(X49)
| ~ c1_1(X49)
| ~ c2_1(X49) ) ).
cnf(u301,negated_conjecture,
( ~ c3_1(X48)
| ~ c1_1(X48)
| c0_1(X48) ) ).
cnf(u562,negated_conjecture,
~ hskp52 ).
cnf(u308,negated_conjecture,
hskp51 ).
cnf(u591,negated_conjecture,
~ hskp50 ).
cnf(u315,negated_conjecture,
hskp49 ).
cnf(u321,negated_conjecture,
hskp45 ).
cnf(u325,negated_conjecture,
hskp48 ).
cnf(u331,negated_conjecture,
hskp19 ).
cnf(u335,negated_conjecture,
hskp7 ).
cnf(u338,negated_conjecture,
( c3_1(X43)
| c1_1(X43)
| ~ c2_1(X43) ) ).
cnf(u345,negated_conjecture,
( c3_1(X41)
| ~ c1_1(X41)
| c0_1(X41) ) ).
cnf(u941,negated_conjecture,
~ hskp25 ).
cnf(u352,negated_conjecture,
hskp24 ).
cnf(u633,negated_conjecture,
~ hskp47 ).
cnf(u647,negated_conjecture,
~ hskp46 ).
cnf(u969,negated_conjecture,
~ hskp23 ).
cnf(u1039,negated_conjecture,
~ hskp18 ).
cnf(u703,negated_conjecture,
~ hskp42 ).
cnf(u375,negated_conjecture,
hskp43 ).
cnf(u983,negated_conjecture,
~ hskp22 ).
cnf(u1011,negated_conjecture,
~ hskp20 ).
cnf(u390,negated_conjecture,
hskp13 ).
cnf(u396,negated_conjecture,
( c0_1(X39)
| c2_1(X39)
| c1_1(X39) ) ).
cnf(u1235,negated_conjecture,
~ hskp4 ).
cnf(u403,negated_conjecture,
( c3_1(X37)
| c2_1(X37)
| ~ c1_1(X37) ) ).
cnf(u1053,negated_conjecture,
~ hskp17 ).
cnf(u411,negated_conjecture,
( c3_1(X35)
| ~ c0_1(X35)
| c2_1(X35) ) ).
cnf(u1067,negated_conjecture,
~ hskp16 ).
cnf(u417,negated_conjecture,
( c0_1(X34)
| ~ c1_1(X34)
| c2_1(X34) ) ).
cnf(u421,negated_conjecture,
( c0_1(X33)
| c1_1(X33)
| ~ c2_1(X33) ) ).
cnf(u428,negated_conjecture,
hskp15 ).
cnf(u1095,negated_conjecture,
~ hskp14 ).
cnf(u1123,negated_conjecture,
~ hskp12 ).
cnf(u449,negated_conjecture,
hskp30 ).
cnf(u452,negated_conjecture,
( c3_1(X28)
| c1_1(X28)
| c0_1(X28) ) ).
cnf(u731,negated_conjecture,
~ hskp40 ).
cnf(u1151,negated_conjecture,
~ hskp10 ).
cnf(u463,negated_conjecture,
hskp39 ).
cnf(u470,negated_conjecture,
hskp37 ).
cnf(u787,negated_conjecture,
~ hskp36 ).
cnf(u1165,negated_conjecture,
~ hskp9 ).
cnf(u1179,negated_conjecture,
~ hskp8 ).
cnf(u801,negated_conjecture,
~ hskp35 ).
cnf(u499,negated_conjecture,
( c3_1(X14)
| ~ c0_1(X14)
| c1_1(X14) ) ).
cnf(u503,negated_conjecture,
hskp6 ).
cnf(u815,negated_conjecture,
~ hskp34 ).
cnf(u517,negated_conjecture,
hskp33 ).
cnf(u1221,negated_conjecture,
~ hskp5 ).
cnf(u525,negated_conjecture,
hskp3 ).
cnf(u529,negated_conjecture,
( c3_1(X5)
| ~ c2_1(X5)
| c0_1(X5) ) ).
cnf(u1263,negated_conjecture,
~ hskp2 ).
cnf(u539,negated_conjecture,
hskp31 ).
cnf(u885,negated_conjecture,
~ hskp29 ).
cnf(u547,negated_conjecture,
hskp28 ).
cnf(u913,negated_conjecture,
~ hskp27 ).
cnf(u1277,negated_conjecture,
~ hskp1 ).
cnf(u1291,negated_conjecture,
~ hskp0 ).
cnf(u1397,negated_conjecture,
~ c1_1(a345) ).
cnf(u1396,negated_conjecture,
~ c2_1(a345) ).
cnf(u576,negated_conjecture,
c3_1(a344) ).
cnf(u581,negated_conjecture,
~ c1_1(a344) ).
cnf(u585,negated_conjecture,
c0_1(a344) ).
cnf(u595,negated_conjecture,
c1_1(a343) ).
cnf(u599,negated_conjecture,
c0_1(a343) ).
cnf(u604,negated_conjecture,
c0_1(a342) ).
cnf(u609,negated_conjecture,
~ c1_1(a342) ).
cnf(u613,negated_conjecture,
c3_1(a342) ).
cnf(u618,negated_conjecture,
c2_1(a340) ).
cnf(u623,negated_conjecture,
c1_1(a340) ).
cnf(u627,negated_conjecture,
~ c3_1(a340) ).
cnf(u1480,negated_conjecture,
~ c1_1(a335) ).
cnf(u1479,negated_conjecture,
c2_1(a335) ).
cnf(u646,negated_conjecture,
c2_1(a334) ).
cnf(u1495,negated_conjecture,
c0_1(a334) ).
cnf(u655,negated_conjecture,
~ c3_1(a334) ).
cnf(u660,negated_conjecture,
c2_1(a331) ).
cnf(u665,negated_conjecture,
~ c3_1(a331) ).
cnf(u669,negated_conjecture,
c1_1(a331) ).
cnf(u674,negated_conjecture,
c0_1(a330) ).
cnf(u679,negated_conjecture,
~ c3_1(a330) ).
cnf(u683,negated_conjecture,
c2_1(a330) ).
cnf(u688,negated_conjecture,
c3_1(a325) ).
cnf(u693,negated_conjecture,
c1_1(a325) ).
cnf(u697,negated_conjecture,
~ c2_1(a325) ).
cnf(u702,negated_conjecture,
c0_1(a316) ).
cnf(u707,negated_conjecture,
~ c3_1(a316) ).
cnf(u1880,negated_conjecture,
c1_1(a316) ).
cnf(u716,negated_conjecture,
c2_1(a315) ).
cnf(u721,negated_conjecture,
c3_1(a315) ).
cnf(u725,negated_conjecture,
c1_1(a315) ).
cnf(u739,negated_conjecture,
c2_1(a307) ).
cnf(u744,negated_conjecture,
c0_1(a305) ).
cnf(u749,negated_conjecture,
~ c1_1(a305) ).
cnf(u753,negated_conjecture,
~ c2_1(a305) ).
cnf(u758,negated_conjecture,
c1_1(a304) ).
cnf(u763,negated_conjecture,
c0_1(a304) ).
cnf(u767,negated_conjecture,
~ c2_1(a304) ).
cnf(u772,negated_conjecture,
c2_1(a303) ).
cnf(u777,negated_conjecture,
c1_1(a303) ).
cnf(u781,negated_conjecture,
c0_1(a303) ).
cnf(u786,negated_conjecture,
c3_1(a302) ).
cnf(u791,negated_conjecture,
c0_1(a302) ).
cnf(u1746,negated_conjecture,
~ c1_1(a302) ).
cnf(u800,negated_conjecture,
c2_1(a298) ).
cnf(u1892,negated_conjecture,
c0_1(a298) ).
cnf(u814,negated_conjecture,
c1_1(a296) ).
cnf(u828,negated_conjecture,
c0_1(a293) ).
cnf(u833,negated_conjecture,
~ c2_1(a293) ).
cnf(u837,negated_conjecture,
c1_1(a293) ).
cnf(u842,negated_conjecture,
c0_1(a289) ).
cnf(u847,negated_conjecture,
c3_1(a289) ).
cnf(u851,negated_conjecture,
c2_1(a289) ).
cnf(u856,negated_conjecture,
c3_1(a288) ).
cnf(u861,negated_conjecture,
~ c2_1(a288) ).
cnf(u865,negated_conjecture,
~ c1_1(a288) ).
cnf(u870,negated_conjecture,
c3_1(a287) ).
cnf(u875,negated_conjecture,
c0_1(a287) ).
cnf(u879,negated_conjecture,
c2_1(a287) ).
cnf(u884,negated_conjecture,
c2_1(a286) ).
cnf(u1636,negated_conjecture,
c1_1(a286) ).
cnf(u898,negated_conjecture,
c1_1(a285) ).
cnf(u903,negated_conjecture,
c2_1(a285) ).
cnf(u907,negated_conjecture,
c0_1(a285) ).
cnf(u1672,negated_conjecture,
~ c2_1(a284) ).
cnf(u1673,negated_conjecture,
~ c1_1(a284) ).
cnf(u926,negated_conjecture,
~ c1_1(a347) ).
cnf(u931,negated_conjecture,
~ c2_1(a347) ).
cnf(u2152,negated_conjecture,
c0_1(a337) ).
cnf(u949,negated_conjecture,
~ c2_1(a337) ).
cnf(u954,negated_conjecture,
~ c1_1(a336) ).
cnf(u959,negated_conjecture,
~ c2_1(a336) ).
cnf(u963,negated_conjecture,
c0_1(a336) ).
cnf(u1723,negated_conjecture,
c2_1(a333) ).
cnf(u977,negated_conjecture,
c1_1(a333) ).
cnf(u2126,negated_conjecture,
c0_1(a327) ).
cnf(u996,negated_conjecture,
~ c2_1(a326) ).
cnf(u1001,negated_conjecture,
~ c1_1(a326) ).
cnf(u1005,negated_conjecture,
c0_1(a326) ).
cnf(u1374,negated_conjecture,
c0_1(a324) ).
cnf(u1415,negated_conjecture,
c2_1(a324) ).
cnf(u1024,negated_conjecture,
~ c1_1(a322) ).
cnf(u1029,negated_conjecture,
~ c2_1(a322) ).
cnf(u1033,negated_conjecture,
c3_1(a322) ).
cnf(u1546,negated_conjecture,
~ c1_1(a319) ).
cnf(u1047,negated_conjecture,
~ c2_1(a319) ).
cnf(u1418,negated_conjecture,
c2_1(a318) ).
cnf(u1379,negated_conjecture,
c0_1(a318) ).
cnf(u1080,negated_conjecture,
~ c2_1(a313) ).
cnf(u1085,negated_conjecture,
c3_1(a313) ).
cnf(u1089,negated_conjecture,
c1_1(a313) ).
cnf(u1421,negated_conjecture,
c2_1(a312) ).
cnf(u1384,negated_conjecture,
c0_1(a312) ).
cnf(u1103,negated_conjecture,
~ c3_1(a312) ).
cnf(u1108,negated_conjecture,
~ c1_1(a311) ).
cnf(u1113,negated_conjecture,
c0_1(a311) ).
cnf(u1117,negated_conjecture,
c3_1(a311) ).
cnf(u2659,negated_conjecture,
c2_1(a310) ).
cnf(u2855,negated_conjecture,
c1_1(a310) ).
cnf(u1136,negated_conjecture,
~ c2_1(a309) ).
cnf(u1141,negated_conjecture,
c0_1(a309) ).
cnf(u1145,negated_conjecture,
c1_1(a309) ).
cnf(u1150,negated_conjecture,
~ c2_1(a306) ).
cnf(u2438,negated_conjecture,
c1_1(a306) ).
cnf(u1470,negated_conjecture,
c0_1(a301) ).
cnf(u1173,negated_conjecture,
c1_1(a301) ).
cnf(u1178,negated_conjecture,
~ c2_1(a300) ).
cnf(u1183,negated_conjecture,
c0_1(a300) ).
cnf(u2607,negated_conjecture,
c1_1(a300) ).
cnf(u1192,negated_conjecture,
~ c3_1(a299) ).
cnf(u1197,negated_conjecture,
c0_1(a299) ).
cnf(u1201,negated_conjecture,
c2_1(a299) ).
cnf(u1206,negated_conjecture,
~ c1_1(a297) ).
cnf(u1211,negated_conjecture,
c0_1(a297) ).
cnf(u1215,negated_conjecture,
c2_1(a297) ).
cnf(u2743,negated_conjecture,
~ c2_1(a294) ).
cnf(u1234,negated_conjecture,
~ c1_1(a292) ).
cnf(u1578,negated_conjecture,
c0_1(a292) ).
cnf(u1248,negated_conjecture,
~ c1_1(a291) ).
cnf(u1253,negated_conjecture,
c0_1(a291) ).
cnf(u1257,negated_conjecture,
~ c2_1(a291) ).
cnf(u3062,negated_conjecture,
c0_1(a290) ).
cnf(u1267,negated_conjecture,
~ c3_1(a290) ).
cnf(u2441,negated_conjecture,
c1_1(a290) ).
cnf(u1276,negated_conjecture,
~ c3_1(a283) ).
cnf(u1812,negated_conjecture,
c1_1(a283) ).
cnf(u1285,negated_conjecture,
c2_1(a283) ).
cnf(u1290,negated_conjecture,
~ c1_1(a282) ).
cnf(u1299,negated_conjecture,
c2_1(a282) ).
cnf(u1412,negated_conjecture,
c2_1(a344) ).
cnf(u1322,negated_conjecture,
c0_1(a325) ).
cnf(u1330,negated_conjecture,
~ c2_1(a343) ).
cnf(u1371,negated_conjecture,
c0_1(a331) ).
cnf(u1420,negated_conjecture,
c1_1(a312) ).
cnf(u1537,negated_conjecture,
c0_1(a322) ).
cnf(u1464,negated_conjecture,
~ c2_1(a301) ).
cnf(u1634,negated_conjecture,
c1_1(a334) ).
cnf(u1557,negated_conjecture,
c0_1(a313) ).
cnf(u1884,negated_conjecture,
c1_1(a299) ).
cnf(u1738,negated_conjecture,
c2_1(a311) ).
cnf(u1680,negated_conjecture,
c0_1(a283) ).
cnf(u1720,negated_conjecture,
c0_1(a333) ).
cnf(u1862,negated_conjecture,
c2_1(a302) ).
cnf(u1787,negated_conjecture,
c2_1(a316) ).
cnf(u1800,negated_conjecture,
c0_1(a288) ).
cnf(u1897,negated_conjecture,
c1_1(a298) ).
cnf(u2098,negated_conjecture,
c1_1(a330) ).
cnf(u2116,negated_conjecture,
c2_1(a327) ).
cnf(u2161,negated_conjecture,
~ c1_1(a337) ).
cnf(u2206,negated_conjecture,
~ c1_1(a287) ).
cnf(u2442,negated_conjecture,
c2_1(a290) ).
cnf(u3060,negated_conjecture,
c0_1(a306) ).
cnf(u2405,negated_conjecture,
c0_1(a315) ).
cnf(u3054,negated_conjecture,
c0_1(a340) ).
cnf(u2685,negated_conjecture,
~ c1_1(a289) ).
cnf(u2576,negated_conjecture,
c2_1(a342) ).
cnf(u3058,negated_conjecture,
c0_1(a310) ).
cnf(u1405,negated_conjecture,
( c0_1(X0)
| ~ c1_1(X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN435+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n007.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 15:58:40 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 0.68/1.01 % (2524735)Detected formulas, will run a generic FOF schedule.
% 0.68/1.01 % (2524746)dis-21_1_sil=8000:lcm=predicate:random_seed=2342674421: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)
% 0.68/1.01 % (2524746)First to succeed.
% 0.68/1.01 % (2524746)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2524735"
% 0.68/1.01 % (2524745)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3309278296:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.68/1.01 % (2524743)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=119278166:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.68/1.01 % (2524741)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=1094641308:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.68/1.01 % (2524744)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2733640088:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.68/1.01 % (2524742)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=168078197:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.68/1.01 % (2524740)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=1606430513:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.68/1.01 % (2524743)Refutation not found, incomplete strategy
% 0.68/1.01 % (2524743)------------------------------
% 0.68/1.01 % (2524743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.68/1.01 % (2524743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/1.01 % (2524743)CaDiCaL version: 2.1.3
% 0.68/1.01 % (2524743)Termination reason: Refutation not found, incomplete strategy
% 0.68/1.01 % (2524743)Time elapsed: 0.016 s
% 0.68/1.01 % (2524743)Peak memory usage: 89 MB
% 0.68/1.01 % (2524743)Instructions burned: 25 (million)
% 0.68/1.01 % (2524744)Instruction limit reached!
% 0.68/1.01 % (2524744)------------------------------
% 0.68/1.01 % (2524744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.68/1.01 % (2524744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/1.01 % (2524744)CaDiCaL version: 2.1.3
% 0.68/1.01 % (2524744)Termination reason: Instruction limit
% 0.68/1.01 % (2524744)Termination phase: Saturation
% 0.68/1.01 % (2524744)Time elapsed: 0.057 s
% 0.68/1.01 % (2524744)Peak memory usage: 88 MB
% 0.68/1.01 % (2524744)Instructions burned: 120 (million)
% 0.68/1.01 % (2524745)Refutation not found, incomplete strategy
% 0.68/1.01 % (2524745)------------------------------
% 0.68/1.01 % (2524745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.68/1.01 % (2524745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/1.01 % (2524745)CaDiCaL version: 2.1.3
% 0.68/1.01 % (2524745)Termination reason: Refutation not found, incomplete strategy
% 0.68/1.01 % (2524745)Time elapsed: 0.058 s
% 0.68/1.01 % (2524745)Peak memory usage: 90 MB
% 0.68/1.01 % (2524745)Instructions burned: 86 (million)
% 0.68/1.01 % SZS status CounterSatisfiable for theBenchmark
% 0.68/1.01 % SZS output start Saturation.
% See solution above
% 2.87/1.19 % SZS output start Definitions and Model Updates.
% 2.87/1.19 % SZS output end Definitions and Model Updates.
% 2.87/1.19 % (2524746)------------------------------
% 2.87/1.19 % (2524746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.19 % (2524746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.19 % (2524746)CaDiCaL version: 2.1.3
% 2.87/1.19 % (2524746)Termination reason: Satisfiable
% 2.87/1.19 % (2524746)Time elapsed: 0.023 s
% 2.87/1.19 % (2524746)Peak memory usage: 90 MB
% 2.87/1.19 % (2524746)Instructions burned: 62 (million)
% 2.87/1.19 % (2524746)------------------------------
% 2.87/1.19 % (2524746)------------------------------
% 2.87/1.19 % (2524735)Success in time 0.322 s
% 2.87/1.19 % Vampire exiting
%------------------------------------------------------------------------------