%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN434-1 : 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 : n016.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 : Satisfiable 3.01s 1.12s
% Output : Saturation 3.84s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u255,negated_conjecture,
( ~ c1_1(X2)
| c3_1(X2)
| ~ c0_1(X2) ) ).
cnf(u261,negated_conjecture,
ndr1_0 ).
cnf(u275,negated_conjecture,
( ~ c3_1(X0)
| c1_1(X0)
| c0_1(X0) ) ).
cnf(u282,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ) ).
cnf(u289,negated_conjecture,
( c1_1(X2)
| c2_1(X2)
| c3_1(X2) ) ).
cnf(u292,negated_conjecture,
( ~ c2_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ) ).
cnf(u297,negated_conjecture,
hskp38 ).
cnf(u307,negated_conjecture,
( ~ c2_1(X0)
| c0_1(X0)
| c1_1(X0) ) ).
cnf(u311,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1) ) ).
cnf(u314,negated_conjecture,
( ~ c3_1(X0)
| c2_1(X0)
| c0_1(X0) ) ).
cnf(u318,negated_conjecture,
~ hskp22 ).
cnf(u326,negated_conjecture,
~ hskp7 ).
cnf(u331,negated_conjecture,
~ hskp5 ).
cnf(u338,negated_conjecture,
( ~ c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ).
cnf(u342,negated_conjecture,
~ hskp24 ).
cnf(u349,negated_conjecture,
( ~ c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) ).
cnf(u353,negated_conjecture,
~ hskp51 ).
cnf(u357,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ) ).
cnf(u361,negated_conjecture,
~ hskp40 ).
cnf(u369,negated_conjecture,
~ hskp16 ).
cnf(u378,negated_conjecture,
hskp14 ).
cnf(u382,negated_conjecture,
~ hskp9 ).
cnf(u387,negated_conjecture,
~ hskp6 ).
cnf(u392,negated_conjecture,
~ hskp21 ).
cnf(u397,negated_conjecture,
~ hskp18 ).
cnf(u402,negated_conjecture,
~ hskp35 ).
cnf(u407,negated_conjecture,
~ hskp29 ).
cnf(u415,negated_conjecture,
~ hskp1 ).
cnf(u423,negated_conjecture,
~ hskp11 ).
cnf(u428,negated_conjecture,
hskp32 ).
cnf(u432,negated_conjecture,
~ hskp37 ).
cnf(u436,negated_conjecture,
~ hskp36 ).
cnf(u442,negated_conjecture,
hskp34 ).
cnf(u446,negated_conjecture,
hskp13 ).
cnf(u453,negated_conjecture,
~ hskp28 ).
cnf(u457,negated_conjecture,
~ hskp27 ).
cnf(u462,negated_conjecture,
~ hskp44 ).
cnf(u466,negated_conjecture,
~ hskp43 ).
cnf(u471,negated_conjecture,
~ hskp12 ).
cnf(u475,negated_conjecture,
~ hskp33 ).
cnf(u480,negated_conjecture,
~ hskp8 ).
cnf(u485,negated_conjecture,
hskp31 ).
cnf(u489,negated_conjecture,
~ hskp30 ).
cnf(u494,negated_conjecture,
~ hskp15 ).
cnf(u499,negated_conjecture,
~ hskp10 ).
cnf(u505,negated_conjecture,
~ hskp0 ).
cnf(u508,negated_conjecture,
c3_1(a223) ).
cnf(u513,negated_conjecture,
c2_1(a223) ).
cnf(u518,negated_conjecture,
c1_1(a223) ).
cnf(u523,negated_conjecture,
c2_1(a226) ).
cnf(u528,negated_conjecture,
hskp2 ).
cnf(u533,negated_conjecture,
~ c0_1(a227) ).
cnf(u538,negated_conjecture,
~ c3_1(a227) ).
cnf(u542,negated_conjecture,
hskp3 ).
cnf(u547,negated_conjecture,
~ c0_1(a228) ).
cnf(u552,negated_conjecture,
~ c3_1(a228) ).
cnf(u557,negated_conjecture,
~ hskp4 ).
cnf(u565,negated_conjecture,
c0_1(a229) ).
cnf(u575,negated_conjecture,
c0_1(a233) ).
cnf(u581,negated_conjecture,
~ c1_1(a233) ).
cnf(u595,negated_conjecture,
c3_1(a238) ).
cnf(u601,negated_conjecture,
~ c3_1(a239) ).
cnf(u605,negated_conjecture,
c1_1(a239) ).
cnf(u611,negated_conjecture,
~ c2_1(a239) ).
cnf(u616,negated_conjecture,
~ c3_1(a240) ).
cnf(u621,negated_conjecture,
~ c2_1(a243) ).
cnf(u625,negated_conjecture,
c1_1(a245) ).
cnf(u631,negated_conjecture,
~ c0_1(a245) ).
cnf(u636,negated_conjecture,
~ c2_1(a246) ).
cnf(u641,negated_conjecture,
~ c3_1(a246) ).
cnf(u646,negated_conjecture,
~ c1_1(a249) ).
cnf(u651,negated_conjecture,
~ c2_1(a252) ).
cnf(u656,negated_conjecture,
~ c3_1(a252) ).
cnf(u661,negated_conjecture,
~ c1_1(a253) ).
cnf(u665,negated_conjecture,
c2_1(a253) ).
cnf(u670,negated_conjecture,
hskp17 ).
cnf(u675,negated_conjecture,
~ c1_1(a255) ).
cnf(u685,negated_conjecture,
~ hskp19 ).
cnf(u688,negated_conjecture,
c1_1(a264) ).
cnf(u693,negated_conjecture,
c2_1(a264) ).
cnf(u699,negated_conjecture,
~ hskp20 ).
cnf(u702,negated_conjecture,
c2_1(a268) ).
cnf(u707,negated_conjecture,
c3_1(a268) ).
cnf(u713,negated_conjecture,
~ c1_1(a268) ).
cnf(u717,negated_conjecture,
c2_1(a271) ).
cnf(u723,negated_conjecture,
~ c1_1(a271) ).
cnf(u727,negated_conjecture,
c0_1(a271) ).
cnf(u733,negated_conjecture,
~ c2_1(a277) ).
cnf(u738,negated_conjecture,
~ c3_1(a277) ).
cnf(u743,negated_conjecture,
~ hskp23 ).
cnf(u746,negated_conjecture,
c0_1(a278) ).
cnf(u752,negated_conjecture,
~ c1_1(a278) ).
cnf(u756,negated_conjecture,
c1_1(a281) ).
cnf(u761,negated_conjecture,
c2_1(a281) ).
cnf(u767,negated_conjecture,
~ hskp25 ).
cnf(u780,negated_conjecture,
hskp26 ).
cnf(u785,negated_conjecture,
~ c0_1(a225) ).
cnf(u789,negated_conjecture,
c3_1(a232) ).
cnf(u795,negated_conjecture,
~ c3_1(a235) ).
cnf(u800,negated_conjecture,
~ c2_1(a235) ).
cnf(u804,negated_conjecture,
c2_1(a236) ).
cnf(u810,negated_conjecture,
~ c0_1(a237) ).
cnf(u815,negated_conjecture,
~ c2_1(a242) ).
cnf(u820,negated_conjecture,
~ c0_1(a242) ).
cnf(u825,negated_conjecture,
~ c1_1(a244) ).
cnf(u829,negated_conjecture,
c3_1(a244) ).
cnf(u854,negated_conjecture,
c0_1(a251) ).
cnf(u860,negated_conjecture,
~ c1_1(a251) ).
cnf(u865,negated_conjecture,
~ c0_1(a254) ).
cnf(u880,negated_conjecture,
~ hskp42 ).
cnf(u884,negated_conjecture,
~ c0_1(a260) ).
cnf(u889,negated_conjecture,
~ c2_1(a260) ).
cnf(u894,negated_conjecture,
~ c1_1(a262) ).
cnf(u898,negated_conjecture,
c0_1(a262) ).
cnf(u904,negated_conjecture,
~ hskp45 ).
cnf(u907,negated_conjecture,
c3_1(a265) ).
cnf(u912,negated_conjecture,
hskp48 ).
cnf(u917,negated_conjecture,
~ c3_1(a270) ).
cnf(u922,negated_conjecture,
~ c0_1(a270) ).
cnf(u927,negated_conjecture,
~ hskp49 ).
cnf(u935,negated_conjecture,
c2_1(a272) ).
cnf(u941,negated_conjecture,
~ c2_1(a276) ).
cnf(u945,negated_conjecture,
c1_1(a276) ).
cnf(u951,negated_conjecture,
c3_1(a226) ).
cnf(u955,negated_conjecture,
~ c1_1(a226) ).
cnf(u961,negated_conjecture,
c1_1(a227) ).
cnf(u966,negated_conjecture,
c1_1(a228) ).
cnf(u971,negated_conjecture,
c2_1(a229) ).
cnf(u986,negated_conjecture,
c2_1(a233) ).
cnf(u996,negated_conjecture,
c0_1(a238) ).
cnf(u1001,negated_conjecture,
c2_1(a238) ).
cnf(u1005,negated_conjecture,
~ c0_1(a240) ).
cnf(u1011,negated_conjecture,
c1_1(a240) ).
cnf(u1016,negated_conjecture,
c1_1(a243) ).
cnf(u1020,negated_conjecture,
~ c0_1(a243) ).
cnf(u1026,negated_conjecture,
c3_1(a245) ).
cnf(u1031,negated_conjecture,
c1_1(a246) ).
cnf(u1036,negated_conjecture,
c0_1(a249) ).
cnf(u1041,negated_conjecture,
c2_1(a249) ).
cnf(u1045,negated_conjecture,
~ c0_1(a252) ).
cnf(u1051,negated_conjecture,
c3_1(a253) ).
cnf(u1056,negated_conjecture,
c3_1(a255) ).
cnf(u1061,negated_conjecture,
c2_1(a255) ).
cnf(u1076,negated_conjecture,
c0_1(a264) ).
cnf(u1081,negated_conjecture,
c1_1(a277) ).
cnf(u1086,negated_conjecture,
c2_1(a278) ).
cnf(u1091,negated_conjecture,
c0_1(a281) ).
cnf(u1101,negated_conjecture,
c2_1(a225) ).
cnf(u1106,negated_conjecture,
c3_1(a225) ).
cnf(u1126,negated_conjecture,
c2_1(a232) ).
cnf(u1131,negated_conjecture,
c0_1(a232) ).
cnf(u1135,negated_conjecture,
~ c0_1(a235) ).
cnf(u1145,negated_conjecture,
~ c0_1(a236) ).
cnf(u1151,negated_conjecture,
c3_1(a237) ).
cnf(u1156,negated_conjecture,
c2_1(a237) ).
cnf(u1161,negated_conjecture,
c1_1(a242) ).
cnf(u1166,negated_conjecture,
c0_1(a244) ).
cnf(u1171,negated_conjecture,
c1_1(a247) ).
cnf(u1176,negated_conjecture,
c0_1(a247) ).
cnf(u1181,negated_conjecture,
c3_1(a247) ).
cnf(u1196,negated_conjecture,
c3_1(a251) ).
cnf(u1201,negated_conjecture,
c3_1(a254) ).
cnf(u1206,negated_conjecture,
c2_1(a254) ).
cnf(u1215,negated_conjecture,
~ hskp39 ).
cnf(u1235,negated_conjecture,
c1_1(a258) ).
cnf(u1239,negated_conjecture,
~ hskp41 ).
cnf(u1243,negated_conjecture,
~ c0_1(a258) ).
cnf(u1248,negated_conjecture,
~ c2_1(a258) ).
cnf(u1253,negated_conjecture,
~ c3_1(a260) ).
cnf(u1274,negated_conjecture,
c3_1(a262) ).
cnf(u1278,negated_conjecture,
~ c1_1(a265) ).
cnf(u1284,negated_conjecture,
c0_1(a265) ).
cnf(u1289,negated_conjecture,
c3_1(a266) ).
cnf(u1292,negated_conjecture,
hskp46 ).
cnf(u1298,negated_conjecture,
c1_1(a266) ).
cnf(u1303,negated_conjecture,
c0_1(a266) ).
cnf(u1308,negated_conjecture,
c0_1(a269) ).
cnf(u1312,negated_conjecture,
~ hskp47 ).
cnf(u1317,negated_conjecture,
c3_1(a269) ).
cnf(u1321,negated_conjecture,
~ c1_1(a269) ).
cnf(u1327,negated_conjecture,
c1_1(a270) ).
cnf(u1332,negated_conjecture,
c3_1(a272) ).
cnf(u1336,negated_conjecture,
~ c2_1(a273) ).
cnf(u1341,negated_conjecture,
~ hskp50 ).
cnf(u1346,negated_conjecture,
c1_1(a273) ).
cnf(u1350,negated_conjecture,
~ c3_1(a273) ).
cnf(u1355,negated_conjecture,
~ c3_1(a276) ).
cnf(u1361,negated_conjecture,
c2_1(a279) ).
cnf(u1364,negated_conjecture,
hskp52 ).
cnf(u1370,negated_conjecture,
c3_1(a279) ).
cnf(u1375,negated_conjecture,
c0_1(a279) ).
cnf(u1822,negated_conjecture,
c0_1(a255) ).
cnf(u1996,negated_conjecture,
~ c0_1(a276) ).
cnf(u1512,negated_conjecture,
( ~ c3_1(X0)
| c2_1(X0) ) ).
cnf(u1865,negated_conjecture,
( c1_1(X2)
| c2_1(X2) ) ).
cnf(u2433,negated_conjecture,
c3_1(a229) ).
cnf(u1607,negated_conjecture,
c2_1(a266) ).
cnf(u1969,negated_conjecture,
( ~ c0_1(X0)
| c2_1(X0) ) ).
cnf(u2460,negated_conjecture,
c3_1(a233) ).
cnf(u1861,negated_conjecture,
c3_1(a249) ).
cnf(u1988,negated_conjecture,
~ c0_1(a239) ).
cnf(u2189,negated_conjecture,
c0_1(a268) ).
cnf(u1821,negated_conjecture,
c0_1(a253) ).
cnf(u2482,negated_conjecture,
~ c2_1(a228) ).
cnf(u1927,negated_conjecture,
~ c0_1(a277) ).
cnf(u1992,negated_conjecture,
c3_1(a281) ).
cnf(u1604,negated_conjecture,
c2_1(a247) ).
cnf(u1819,negated_conjecture,
c0_1(a226) ).
cnf(u2169,negated_conjecture,
c3_1(a271) ).
cnf(u1870,negated_conjecture,
c2_1(a251) ).
cnf(u1935,negated_conjecture,
c2_1(a244) ).
cnf(u1438,negated_conjecture,
( c1_1(X1)
| c3_1(X1) ) ).
cnf(u2299,negated_conjecture,
~ c0_1(a246) ).
cnf(u2481,negated_conjecture,
~ c2_1(a227) ).
cnf(u2490,negated_conjecture,
~ c2_1(a270) ).
cnf(u1610,negated_conjecture,
c2_1(a269) ).
cnf(u2436,negated_conjecture,
c2_1(a265) ).
cnf(u2483,negated_conjecture,
~ c2_1(a240) ).
cnf(u2529,negated_conjecture,
( ~ c0_1(X0)
| c3_1(X0) ) ).
cnf(u1709,negated_conjecture,
c2_1(a262) ).
cnf(u1990,negated_conjecture,
c3_1(a264) ).
cnf(u2273,negated_conjecture,
~ c0_1(a273) ).
cnf(u1547,negated_conjecture,
c2_1(a245) ).
cnf(u2378,negated_conjecture,
c3_1(a278) ).
cnf(u1823,negated_conjecture,
c1_1(a254) ).
cnf(u1769,negated_conjecture,
c3_1(a236) ).
cnf(u2134,negated_conjecture,
c1_1(a237) ).
cnf(u2161,negated_conjecture,
( c1_1(X0)
| c0_1(X0) ) ).
cnf(u2492,negated_conjecture,
( ~ c2_1(X0)
| c3_1(X0) ) ).
cnf(u2000,negated_conjecture,
c1_1(a225) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN434-1 : 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 : n016.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 16:05:48 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.01/1.12 % (3734958)Input is clausal, will run a generic CNF schedule.
% 3.01/1.12 % (3734963)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=1805015010:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.01/1.12 % (3734969)dis-21_1_sil=8000:lcm=predicate:random_seed=1053082935: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)
% 3.01/1.12 % (3734964)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4079933345:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.01/1.12 % (3734968)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2775078138:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.01/1.12 % (3734965)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1094986319:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.01/1.12 % (3734967)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3379978846:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.01/1.12 % (3734966)lrs+10_1_sil=8000:sp=occurrence:random_seed=1143204805:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.01/1.12 % (3734966)First to succeed.
% 3.01/1.12 % (3734966)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3734958"
% 3.01/1.12 % (3734967)Refutation not found, incomplete strategy
% 3.01/1.12 % (3734967)------------------------------
% 3.01/1.12 % (3734967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/1.12 % (3734967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/1.12 % (3734967)CaDiCaL version: 2.1.3
% 3.01/1.12 % (3734967)Termination reason: Refutation not found, incomplete strategy
% 3.01/1.12 % (3734967)Time elapsed: 0.025 s
% 3.01/1.12 % (3734967)Peak memory usage: 88 MB
% 3.01/1.12 % (3734967)Instructions burned: 37 (million)
% 3.01/1.12 % (3734969)Also succeeded, but the first one will report.
% 3.01/1.12 % (3734968)Refutation not found, incomplete strategy
% 3.01/1.12 % (3734968)------------------------------
% 3.01/1.12 % (3734968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/1.12 % (3734968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/1.12 % (3734968)CaDiCaL version: 2.1.3
% 3.01/1.12 % (3734968)Termination reason: Refutation not found, incomplete strategy
% 3.01/1.12 % (3734968)Time elapsed: 0.044 s
% 3.01/1.12 % (3734968)Peak memory usage: 89 MB
% 3.01/1.12 % (3734968)Instructions burned: 67 (million)
% 3.01/1.12 % (3734967)------------------------------
% 3.01/1.12 % (3734967)------------------------------
% 3.01/1.12 % SZS status Satisfiable for theBenchmark
% 3.01/1.12 % SZS output start Saturation.
% See solution above
% 3.84/1.33 % SZS output start Definitions and Model Updates.
% 3.84/1.33 % SZS output end Definitions and Model Updates.
% 3.84/1.33 % (3734966)------------------------------
% 3.84/1.33 % (3734966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.33 % (3734966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.33 % (3734966)CaDiCaL version: 2.1.3
% 3.84/1.33 % (3734966)Termination reason: Satisfiable
% 3.84/1.33 % (3734966)Time elapsed: 0.022 s
% 3.84/1.33 % (3734966)Peak memory usage: 89 MB
% 3.84/1.33 % (3734966)Instructions burned: 32 (million)
% 3.84/1.33 % (3734966)------------------------------
% 3.84/1.33 % (3734966)------------------------------
% 3.84/1.33 % (3734958)Success in time 0.45 s
% 3.84/1.33 % Vampire exiting
%------------------------------------------------------------------------------