%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR049+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 09:42:18 AM UTC 2026
% Result : Theorem 9.40s 2.46s
% Output : Refutation 10.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 35
% Syntax : Number of formulae : 108 ( 93 unt; 0 def)
% Number of atoms : 135 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 37 ~; 18 |; 4 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 33 con; 0-0 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_41) ).
fof(f47,axiom,
genls(c_tptpcol_11_92230,c_tptpcol_10_92166),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_47) ).
fof(f89,axiom,
genls(c_tptpcol_12_92262,c_tptpcol_11_92230),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_89) ).
fof(f102,axiom,
genls(c_tptpcol_15_92268,c_tptpcol_14_92264),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_102) ).
fof(f118,axiom,
genls(c_tptpcol_5_24579,c_tptpcol_4_24578),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_118) ).
fof(f141,axiom,
genls(c_tptpcol_12_26919,c_tptpcol_11_26887),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_141) ).
fof(f145,axiom,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_145) ).
fof(f148,axiom,
genls(c_tptpcol_9_92165,c_tptpcol_8_92164),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_148) ).
fof(f152,axiom,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_152) ).
fof(f222,axiom,
genls(c_tptpcol_4_24578,c_tptpcol_3_16386),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_222) ).
fof(f239,axiom,
genls(c_tptpcol_8_26629,c_tptpcol_7_26628),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_239) ).
fof(f261,axiom,
genls(c_tptpcol_7_26628,c_tptpcol_6_26627),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_261) ).
fof(f267,axiom,
genls(c_tptpcol_16_92269,c_tptpcol_15_92268),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_267) ).
fof(f277,axiom,
genls(c_tptpcol_10_26886,c_tptpcol_9_26885),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_277) ).
fof(f313,axiom,
genls(c_tptpcol_14_26921,c_tptpcol_13_26920),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_313) ).
fof(f324,axiom,
genls(c_tptpcol_7_92163,c_tptpcol_6_92162),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_324) ).
fof(f348,axiom,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_348) ).
fof(f374,axiom,
genls(c_tptpcol_6_26627,c_tptpcol_5_24579),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_374) ).
fof(f376,axiom,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_376) ).
fof(f385,axiom,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_385) ).
fof(f410,axiom,
genls(c_tptpcol_9_26885,c_tptpcol_8_26629),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_410) ).
fof(f417,axiom,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_417) ).
fof(f420,axiom,
genls(c_tptpcol_8_92164,c_tptpcol_7_92163),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_420) ).
fof(f429,axiom,
genls(c_tptpcol_11_26887,c_tptpcol_10_26886),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_429) ).
fof(f431,axiom,
genls(c_tptpcol_16_26926,c_tptpcol_15_26925),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_431) ).
fof(f465,axiom,
genls(c_tptpcol_13_26920,c_tptpcol_12_26919),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_465) ).
fof(f467,axiom,
genls(c_tptpcol_14_92264,c_tptpcol_13_92263),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_467) ).
fof(f473,axiom,
genls(c_tptpcol_13_92263,c_tptpcol_12_92262),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_473) ).
fof(f476,axiom,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_476) ).
fof(f480,axiom,
genls(c_tptpcol_15_26925,c_tptpcol_14_26921),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_480) ).
fof(f497,axiom,
genls(c_tptpcol_10_92166,c_tptpcol_9_92165),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_497) ).
fof(f1109,axiom,
! [X0,X1,X2] :
( ( genls(X0,X1)
& genls(X1,X2) )
=> genls(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1109) ).
fof(f1121,axiom,
! [X0,X1,X2] :
( ( disjointwith(X0,X1)
& genls(X2,X1) )
=> disjointwith(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1121) ).
fof(f1122,axiom,
! [X0,X1,X2] :
( ( disjointwith(X0,X1)
& genls(X2,X0) )
=> disjointwith(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1122) ).
fof(f1132,conjecture,
( mtvisible(c_unitedstatesgeographypeoplemt)
=> disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query99) ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_unitedstatesgeographypeoplemt)
=> disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1993,plain,
! [X0,X1,X2] :
( genls(X0,X2)
| ~ genls(X0,X1)
| ~ genls(X1,X2) ),
inference(ennf_transformation,[],[f1109]) ).
fof(f1994,plain,
! [X0,X1,X2] :
( genls(X0,X2)
| ~ genls(X0,X1)
| ~ genls(X1,X2) ),
inference(flattening,[],[f1993]) ).
fof(f2008,plain,
! [X0,X1,X2] :
( disjointwith(X0,X2)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X1) ),
inference(ennf_transformation,[],[f1121]) ).
fof(f2009,plain,
! [X0,X1,X2] :
( disjointwith(X0,X2)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X1) ),
inference(flattening,[],[f2008]) ).
fof(f2010,plain,
! [X0,X1,X2] :
( disjointwith(X2,X1)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X0) ),
inference(ennf_transformation,[],[f1122]) ).
fof(f2011,plain,
! [X0,X1,X2] :
( disjointwith(X2,X1)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X0) ),
inference(flattening,[],[f2010]) ).
fof(f2022,plain,
( ~ disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269)
& mtvisible(c_unitedstatesgeographypeoplemt) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f2063,plain,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
inference(cnf_transformation,[],[f41]) ).
fof(f2069,plain,
genls(c_tptpcol_11_92230,c_tptpcol_10_92166),
inference(cnf_transformation,[],[f47]) ).
fof(f2110,plain,
genls(c_tptpcol_12_92262,c_tptpcol_11_92230),
inference(cnf_transformation,[],[f89]) ).
fof(f2123,plain,
genls(c_tptpcol_15_92268,c_tptpcol_14_92264),
inference(cnf_transformation,[],[f102]) ).
fof(f2139,plain,
genls(c_tptpcol_5_24579,c_tptpcol_4_24578),
inference(cnf_transformation,[],[f118]) ).
fof(f2162,plain,
genls(c_tptpcol_12_26919,c_tptpcol_11_26887),
inference(cnf_transformation,[],[f141]) ).
fof(f2166,plain,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
inference(cnf_transformation,[],[f145]) ).
fof(f2169,plain,
genls(c_tptpcol_9_92165,c_tptpcol_8_92164),
inference(cnf_transformation,[],[f148]) ).
fof(f2173,plain,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
inference(cnf_transformation,[],[f152]) ).
fof(f2243,plain,
genls(c_tptpcol_4_24578,c_tptpcol_3_16386),
inference(cnf_transformation,[],[f222]) ).
fof(f2260,plain,
genls(c_tptpcol_8_26629,c_tptpcol_7_26628),
inference(cnf_transformation,[],[f239]) ).
fof(f2282,plain,
genls(c_tptpcol_7_26628,c_tptpcol_6_26627),
inference(cnf_transformation,[],[f261]) ).
fof(f2288,plain,
genls(c_tptpcol_16_92269,c_tptpcol_15_92268),
inference(cnf_transformation,[],[f267]) ).
fof(f2298,plain,
genls(c_tptpcol_10_26886,c_tptpcol_9_26885),
inference(cnf_transformation,[],[f277]) ).
fof(f2333,plain,
genls(c_tptpcol_14_26921,c_tptpcol_13_26920),
inference(cnf_transformation,[],[f313]) ).
fof(f2344,plain,
genls(c_tptpcol_7_92163,c_tptpcol_6_92162),
inference(cnf_transformation,[],[f324]) ).
fof(f2368,plain,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
inference(cnf_transformation,[],[f348]) ).
fof(f2394,plain,
genls(c_tptpcol_6_26627,c_tptpcol_5_24579),
inference(cnf_transformation,[],[f374]) ).
fof(f2396,plain,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
inference(cnf_transformation,[],[f376]) ).
fof(f2405,plain,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
inference(cnf_transformation,[],[f385]) ).
fof(f2430,plain,
genls(c_tptpcol_9_26885,c_tptpcol_8_26629),
inference(cnf_transformation,[],[f410]) ).
fof(f2437,plain,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
inference(cnf_transformation,[],[f417]) ).
fof(f2440,plain,
genls(c_tptpcol_8_92164,c_tptpcol_7_92163),
inference(cnf_transformation,[],[f420]) ).
fof(f2449,plain,
genls(c_tptpcol_11_26887,c_tptpcol_10_26886),
inference(cnf_transformation,[],[f429]) ).
fof(f2451,plain,
genls(c_tptpcol_16_26926,c_tptpcol_15_26925),
inference(cnf_transformation,[],[f431]) ).
fof(f2485,plain,
genls(c_tptpcol_13_26920,c_tptpcol_12_26919),
inference(cnf_transformation,[],[f465]) ).
fof(f2487,plain,
genls(c_tptpcol_14_92264,c_tptpcol_13_92263),
inference(cnf_transformation,[],[f467]) ).
fof(f2493,plain,
genls(c_tptpcol_13_92263,c_tptpcol_12_92262),
inference(cnf_transformation,[],[f473]) ).
fof(f2496,plain,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
inference(cnf_transformation,[],[f476]) ).
fof(f2500,plain,
genls(c_tptpcol_15_26925,c_tptpcol_14_26921),
inference(cnf_transformation,[],[f480]) ).
fof(f2517,plain,
genls(c_tptpcol_10_92166,c_tptpcol_9_92165),
inference(cnf_transformation,[],[f497]) ).
fof(f3039,plain,
! [X2,X0,X1] :
( ~ genls(X1,X2)
| ~ genls(X0,X1)
| genls(X0,X2) ),
inference(cnf_transformation,[],[f1994]) ).
fof(f3051,plain,
! [X2,X0,X1] :
( ~ genls(X2,X1)
| ~ disjointwith(X0,X1)
| disjointwith(X0,X2) ),
inference(cnf_transformation,[],[f2009]) ).
fof(f3052,plain,
! [X2,X0,X1] :
( ~ genls(X2,X0)
| ~ disjointwith(X0,X1)
| disjointwith(X2,X1) ),
inference(cnf_transformation,[],[f2011]) ).
fof(f3063,plain,
~ disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269),
inference(cnf_transformation,[],[f2022]) ).
fof(f3404,plain,
~ disjointwith(c_tptpcol_16_26926,c_tptpcol_15_92268),
inference(unit_resulting_resolution,[],[f3051,f3063,f2288]) ).
fof(f3416,plain,
~ disjointwith(c_tptpcol_16_26926,c_tptpcol_14_92264),
inference(unit_resulting_resolution,[],[f3051,f3404,f2123]) ).
fof(f3442,plain,
genls(c_tptpcol_16_26926,c_tptpcol_14_26921),
inference(unit_resulting_resolution,[],[f3039,f2451,f2500]) ).
fof(f3471,plain,
~ disjointwith(c_tptpcol_16_26926,c_tptpcol_13_92263),
inference(unit_resulting_resolution,[],[f3051,f3416,f2487]) ).
fof(f3498,plain,
~ disjointwith(c_tptpcol_14_26921,c_tptpcol_13_92263),
inference(unit_resulting_resolution,[],[f3052,f3442,f3471]) ).
fof(f3513,plain,
genls(c_tptpcol_14_26921,c_tptpcol_12_26919),
inference(unit_resulting_resolution,[],[f3039,f2333,f2485]) ).
fof(f3677,plain,
~ disjointwith(c_tptpcol_14_26921,c_tptpcol_12_92262),
inference(unit_resulting_resolution,[],[f3051,f2493,f3498]) ).
fof(f3757,plain,
genls(c_tptpcol_14_26921,c_tptpcol_11_26887),
inference(unit_resulting_resolution,[],[f3039,f2162,f3513]) ).
fof(f3875,plain,
~ disjointwith(c_tptpcol_14_26921,c_tptpcol_11_92230),
inference(unit_resulting_resolution,[],[f3051,f2110,f3677]) ).
fof(f4012,plain,
genls(c_tptpcol_14_26921,c_tptpcol_10_26886),
inference(unit_resulting_resolution,[],[f3039,f2449,f3757]) ).
fof(f4147,plain,
~ disjointwith(c_tptpcol_14_26921,c_tptpcol_10_92166),
inference(unit_resulting_resolution,[],[f3051,f2069,f3875]) ).
fof(f4375,plain,
genls(c_tptpcol_14_26921,c_tptpcol_9_26885),
inference(unit_resulting_resolution,[],[f3039,f2298,f4012]) ).
fof(f4513,plain,
~ disjointwith(c_tptpcol_14_26921,c_tptpcol_9_92165),
inference(unit_resulting_resolution,[],[f3051,f2517,f4147]) ).
fof(f4833,plain,
genls(c_tptpcol_14_26921,c_tptpcol_8_26629),
inference(unit_resulting_resolution,[],[f3039,f2430,f4375]) ).
fof(f4987,plain,
~ disjointwith(c_tptpcol_14_26921,c_tptpcol_8_92164),
inference(unit_resulting_resolution,[],[f3051,f2169,f4513]) ).
fof(f5418,plain,
genls(c_tptpcol_14_26921,c_tptpcol_7_26628),
inference(unit_resulting_resolution,[],[f3039,f2260,f4833]) ).
fof(f5583,plain,
~ disjointwith(c_tptpcol_14_26921,c_tptpcol_7_92163),
inference(unit_resulting_resolution,[],[f3051,f2440,f4987]) ).
fof(f6134,plain,
genls(c_tptpcol_14_26921,c_tptpcol_6_26627),
inference(unit_resulting_resolution,[],[f3039,f2282,f5418]) ).
fof(f6315,plain,
~ disjointwith(c_tptpcol_14_26921,c_tptpcol_6_92162),
inference(unit_resulting_resolution,[],[f3051,f2344,f5583]) ).
fof(f7021,plain,
genls(c_tptpcol_14_26921,c_tptpcol_5_24579),
inference(unit_resulting_resolution,[],[f3039,f2394,f6134]) ).
fof(f7200,plain,
~ disjointwith(c_tptpcol_14_26921,c_tptpcol_5_90114),
inference(unit_resulting_resolution,[],[f3051,f2437,f6315]) ).
fof(f8067,plain,
genls(c_tptpcol_14_26921,c_tptpcol_4_24578),
inference(unit_resulting_resolution,[],[f3039,f2139,f7021]) ).
fof(f8255,plain,
~ disjointwith(c_tptpcol_14_26921,c_tptpcol_4_90113),
inference(unit_resulting_resolution,[],[f3051,f2496,f7200]) ).
fof(f9328,plain,
genls(c_tptpcol_14_26921,c_tptpcol_3_16386),
inference(unit_resulting_resolution,[],[f3039,f2243,f8067]) ).
fof(f9529,plain,
~ disjointwith(c_tptpcol_14_26921,c_tptpcol_3_81921),
inference(unit_resulting_resolution,[],[f3051,f2396,f8255]) ).
fof(f10816,plain,
genls(c_tptpcol_14_26921,c_tptpcol_2_2),
inference(unit_resulting_resolution,[],[f3039,f2405,f9328]) ).
fof(f11027,plain,
~ disjointwith(c_tptpcol_14_26921,c_tptpcol_2_65537),
inference(unit_resulting_resolution,[],[f3051,f2063,f9529]) ).
fof(f12610,plain,
~ disjointwith(c_tptpcol_14_26921,c_tptpcol_1_65536),
inference(unit_resulting_resolution,[],[f3051,f2368,f11027]) ).
fof(f12614,plain,
genls(c_tptpcol_14_26921,c_tptpcol_1_1),
inference(unit_resulting_resolution,[],[f3039,f2166,f10816]) ).
fof(f14816,plain,
$false,
inference(unit_resulting_resolution,[],[f3052,f12610,f2173,f12614]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR049+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.32 % Computer : n014.cluster.edu
% 0.27/0.32 % Model : x86_64 x86_64
% 0.27/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.27/0.32 % Memory : 8046.5625MB
% 0.27/0.32 % OS : Linux 6.8.0-71-generic
% 0.27/0.32 % CPULimit : 300
% 0.27/0.32 % WCLimit : 300
% 0.27/0.32 % DateTime : Mon Sep 28 22:17:15 UTC 2026
% 0.27/0.32 % CPUTime :
% 0.27/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.38 Running first-order theorem proving
% 0.27/0.38 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
% 9.40/2.46 % (2245546)Detected formulas, will run a generic FOF schedule.
% 9.40/2.46 % (2245553)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=4144303478:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.40/2.46 % (2245551)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=3646150956:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.40/2.46 % (2245552)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=492483338:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.40/2.46 % (2245555)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1345047021:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.40/2.46 % (2245556)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=736341084:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.40/2.46 % (2245557)dis-21_1_sil=8000:lcm=predicate:random_seed=4016273466: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)
% 9.40/2.46 % (2245554)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1151457831:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.40/2.46 % (2245554)Refutation not found, incomplete strategy
% 9.40/2.46 % (2245554)------------------------------
% 9.40/2.46 % (2245554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.46 % (2245554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.46 % (2245554)CaDiCaL version: 2.1.3
% 9.40/2.46 % (2245554)Termination reason: Refutation not found, incomplete strategy
% 9.40/2.46 % (2245554)Time elapsed: 0.005 s
% 9.40/2.46 % (2245554)Peak memory usage: 88 MB
% 9.40/2.46 % (2245554)Instructions burned: 3 (million)
% 9.40/2.46 % (2245555)Instruction limit reached!
% 9.40/2.46 % (2245555)------------------------------
% 9.40/2.46 % (2245555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.46 % (2245555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.46 % (2245555)CaDiCaL version: 2.1.3
% 9.40/2.46 % (2245555)Termination reason: Instruction limit
% 9.40/2.46 % (2245555)Termination phase: Saturation
% 9.40/2.46 % (2245555)Time elapsed: 0.112 s
% 9.40/2.46 % (2245555)Peak memory usage: 89 MB
% 9.40/2.46 % (2245555)Instructions burned: 119 (million)
% 9.40/2.46 % (2245557)Instruction limit reached!
% 9.40/2.46 % (2245557)------------------------------
% 9.40/2.46 % (2245557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.46 % (2245557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.46 % (2245557)CaDiCaL version: 2.1.3
% 9.40/2.46 % (2245557)Termination reason: Instruction limit
% 9.40/2.46 % (2245557)Termination phase: Saturation
% 9.40/2.46 % (2245557)Time elapsed: 0.120 s
% 9.40/2.46 % (2245557)Peak memory usage: 89 MB
% 9.40/2.46 % (2245557)Instructions burned: 129 (million)
% 9.40/2.46 % (2245556)Instruction limit reached!
% 9.40/2.46 % (2245556)------------------------------
% 9.40/2.46 % (2245556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.46 % (2245556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.46 % (2245556)CaDiCaL version: 2.1.3
% 9.40/2.46 % (2245556)Termination reason: Instruction limit
% 9.40/2.46 % (2245556)Termination phase: Saturation
% 9.40/2.46 % (2245556)Time elapsed: 0.126 s
% 9.40/2.46 % (2245556)Peak memory usage: 91 MB
% 9.40/2.46 % (2245556)Instructions burned: 139 (million)
% 9.40/2.46 % (2245554)------------------------------
% 9.40/2.46 % (2245554)------------------------------
% 9.40/2.46 % (2245565)lrs+10_1_sil=8000:sp=occurrence:random_seed=2939386839:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 9.40/2.46 % (2245566)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3669579736:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 9.40/2.46 % (2245566)Refutation not found, incomplete strategy
% 9.40/2.46 % (2245566)------------------------------
% 9.40/2.46 % (2245566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.46 % (2245566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.46 % (2245566)CaDiCaL version: 2.1.3
% 9.40/2.46 % (2245566)Termination reason: Refutation not found, incomplete strategy
% 9.40/2.46 % (2245566)Time elapsed: 0.009 s
% 9.40/2.46 % (2245566)Peak memory usage: 89 MB
% 9.40/2.46 % (2245566)Instructions burned: 8 (million)
% 9.40/2.46 % (2245567)lrs+1011_1_sil=32000:sp=occurrence:random_seed=843125363:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 9.40/2.46 % (2245565)Refutation not found, incomplete strategy
% 9.40/2.46 % (2245565)------------------------------
% 9.40/2.46 % (2245565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.46 % (2245565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.46 % (2245565)CaDiCaL version: 2.1.3
% 9.40/2.46 % (2245565)Termination reason: Refutation not found, incomplete strategy
% 9.40/2.46 % (2245565)Time elapsed: 0.015 s
% 9.40/2.46 % (2245565)Peak memory usage: 89 MB
% 9.40/2.46 % (2245567)Refutation not found, incomplete strategy
% 9.40/2.46 % (2245567)------------------------------
% 9.40/2.46 % (2245567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.46 % (2245565)Instructions burned: 13 (million)
% 9.40/2.46 % (2245567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.46 % (2245567)CaDiCaL version: 2.1.3
% 9.40/2.46 % (2245567)Termination reason: Refutation not found, incomplete strategy
% 9.40/2.46 % (2245567)Time elapsed: 0.006 s
% 9.40/2.46 % (2245567)Peak memory usage: 88 MB
% 9.40/2.46 % (2245567)Instructions burned: 4 (million)
% 9.40/2.46 % (2245553)Refutation not found, incomplete strategy
% 9.40/2.46 % (2245553)------------------------------
% 9.40/2.46 % (2245553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.46 % (2245553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.46 % (2245553)CaDiCaL version: 2.1.3
% 9.40/2.46 % (2245553)Termination reason: Refutation not found, incomplete strategy
% 9.40/2.46 % (2245553)Time elapsed: 0.640 s
% 9.40/2.46 % (2245553)Peak memory usage: 130 MB
% 9.40/2.46 % (2245553)Instructions burned: 932 (million)
% 9.40/2.46 % (2245568)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1066044726:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 9.40/2.46 % (2245568)First to succeed.
% 9.40/2.46 % (2245568)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2245546"
% 9.40/2.46 % (2245566)------------------------------
% 9.40/2.46 % (2245566)------------------------------
% 9.40/2.46 % (2245567)------------------------------
% 9.40/2.46 % (2245567)------------------------------
% 9.40/2.46 % (2245565)------------------------------
% 9.40/2.46 % (2245565)------------------------------
% 9.40/2.46 % (2245553)------------------------------
% 9.40/2.46 % (2245553)------------------------------
% 9.40/2.46 % (2245568)Refutation found. Thanks to Tanya!
% 9.40/2.46 % SZS status Theorem for theBenchmark
% 9.40/2.46 % SZS output start Proof for theBenchmark
% See solution above
% 10.44/2.84 % (2245568)------------------------------
% 10.44/2.84 % (2245568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.44/2.84 % (2245568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.44/2.84 % (2245568)CaDiCaL version: 2.1.3
% 10.44/2.84 % (2245568)Termination reason: Refutation
% 10.44/2.84 % (2245568)Time elapsed: 0.118 s
% 10.44/2.84 % (2245568)Peak memory usage: 92 MB
% 10.44/2.84 % (2245568)Instructions burned: 247 (million)
% 10.44/2.84 % (2245568)------------------------------
% 10.44/2.84 % (2245568)------------------------------
% 10.44/2.84 % (2245546)Success in time 1.342 s
% 10.44/2.84 % Vampire exiting
%------------------------------------------------------------------------------