%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP667-2 : TPTP v9.3.1. Released v4.0.0.
% 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 10:15:32 AM UTC 2026
% Result : Unsatisfiable 8.16s 4.14s
% Output : Refutation 23.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 10
% Syntax : Number of formulae : 94 ( 94 unt; 0 def)
% Number of atoms : 94 ( 93 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 209 ( 209 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),mult(mult(X2,X1),X2)) = mult(mult(X0,mult(mult(X1,X2),X1)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
fof(f8,axiom,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,mult(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
fof(f9,axiom,
! [X0] : mult(f(X0),f(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
fof(f10,negated_conjecture,
mult(a,mult(b,mult(a,c))) != mult(mult(mult(a,b),a),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f11,plain,
! [X2,X0,X1] : mult(mult(X0,X1),mult(mult(X2,X1),X2)) = mult(mult(X0,mult(X1,mult(X2,X1))),X2),
inference(forward_demodulation,[],[f7,f8]) ).
fof(f12,plain,
! [X2,X0,X1] : mult(mult(X0,mult(X1,mult(X2,X1))),X2) = mult(mult(X0,X1),mult(X2,mult(X1,X2))),
inference(forward_demodulation,[],[f11,f8]) ).
fof(f15,plain,
mult(a,mult(b,mult(a,c))) != mult(mult(a,mult(b,a)),c),
inference(superposition,[],[f10,f8]) ).
fof(f19,plain,
! [X0,X1] : mult(mult(X1,unit),mult(X0,mult(unit,X0))) = mult(mult(X1,mult(X0,unit)),X0),
inference(superposition,[],[f12,f6]) ).
fof(f27,plain,
! [X0,X1] : mult(mult(X1,unit),mult(X0,mult(unit,X0))) = mult(mult(X1,X0),X0),
inference(forward_demodulation,[],[f19,f5]) ).
fof(f29,plain,
! [X0,X1] : mult(mult(X1,X0),X0) = mult(mult(X1,unit),mult(X0,X0)),
inference(forward_demodulation,[],[f27,f6]) ).
fof(f31,plain,
! [X0,X1] : mult(X1,mult(X0,X0)) = mult(mult(X1,X0),X0),
inference(forward_demodulation,[],[f29,f5]) ).
fof(f34,plain,
! [X2,X0,X1] : mult(mult(X1,ld(X2,X0)),mult(X2,mult(ld(X2,X0),X2))) = mult(mult(X1,mult(ld(X2,X0),X0)),X2),
inference(superposition,[],[f12,f1]) ).
fof(f35,plain,
! [X0,X1] : mult(X0,X1) = mult(X1,mult(ld(X1,X0),X1)),
inference(superposition,[],[f8,f1]) ).
fof(f37,plain,
! [X2,X0,X1] : mult(mult(X1,mult(ld(X2,X0),X0)),X2) = mult(mult(X1,ld(X2,X0)),mult(X0,X2)),
inference(forward_demodulation,[],[f34,f35]) ).
fof(f43,plain,
! [X2,X0,X1] : mult(mult(X2,X1),mult(ld(X1,X0),mult(X1,ld(X1,X0)))) = mult(mult(X2,mult(X0,X1)),ld(X1,X0)),
inference(superposition,[],[f12,f35]) ).
fof(f51,plain,
! [X2,X0,X1] : mult(mult(X2,mult(X0,X1)),ld(X1,X0)) = mult(mult(X2,X1),mult(ld(X1,X0),X0)),
inference(forward_demodulation,[],[f43,f1]) ).
fof(f83,plain,
! [X0,X1] : mult(X0,X1) = rd(mult(X0,mult(X1,X0)),X0),
inference(superposition,[],[f4,f8]) ).
fof(f84,plain,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X2,X1))) = rd(mult(mult(X0,X1),mult(X2,mult(X1,X2))),X2),
inference(superposition,[],[f4,f12]) ).
fof(f85,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f109,plain,
! [X2,X0,X1] : mult(mult(X1,X2),mult(rd(X0,X2),mult(X2,rd(X0,X2)))) = mult(mult(X1,mult(X2,X0)),rd(X0,X2)),
inference(superposition,[],[f12,f3]) ).
fof(f110,plain,
! [X0,X1] : mult(rd(X0,X1),mult(X1,rd(X0,X1))) = mult(X0,rd(X0,X1)),
inference(superposition,[],[f8,f3]) ).
fof(f111,plain,
! [X2,X0,X1] : mult(X0,X2) = mult(mult(rd(X0,mult(X1,mult(X2,X1))),X1),mult(X2,mult(X1,X2))),
inference(superposition,[],[f12,f3]) ).
fof(f113,plain,
! [X2,X0,X1] : mult(mult(X1,mult(X2,X0)),rd(X0,X2)) = mult(mult(X1,X2),mult(X0,rd(X0,X2))),
inference(forward_demodulation,[],[f109,f110]) ).
fof(f125,plain,
! [X0,X1] : mult(X0,mult(mult(ld(X0,X1),X1),X0)) = mult(mult(X0,ld(X0,X1)),mult(X1,X0)),
inference(superposition,[],[f8,f37]) ).
fof(f134,plain,
! [X0,X1] : mult(X0,mult(mult(ld(X0,X1),X1),X0)) = mult(X1,mult(X1,X0)),
inference(forward_demodulation,[],[f125,f1]) ).
fof(f269,plain,
! [X2,X0,X1] : mult(rd(X0,mult(X2,mult(X1,X2))),X2) = rd(mult(X0,X1),mult(X1,mult(X2,X1))),
inference(superposition,[],[f4,f111]) ).
fof(f402,plain,
! [X0,X1] : mult(X1,rd(X0,X1)) = rd(mult(X1,X0),X1),
inference(superposition,[],[f83,f3]) ).
fof(f465,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,mult(X2,X1))) = rd(mult(X0,mult(X2,mult(X1,X2))),X2),
inference(superposition,[],[f84,f3]) ).
fof(f536,plain,
! [X2,X0,X1] : mult(mult(rd(X0,mult(X1,mult(X2,X1))),X1),X2) = rd(mult(mult(X0,X2),X1),mult(X1,mult(X2,X1))),
inference(superposition,[],[f269,f269]) ).
fof(f684,plain,
! [X0,X1] : rd(mult(X0,mult(X1,X0)),X0) = mult(rd(unit,X1),mult(X1,mult(X0,X1))),
inference(superposition,[],[f465,f6]) ).
fof(f725,plain,
! [X0,X1] : mult(X0,rd(mult(X1,X0),X0)) = mult(rd(unit,X1),mult(X1,mult(X0,X1))),
inference(forward_demodulation,[],[f684,f402]) ).
fof(f746,plain,
! [X0,X1] : mult(X0,X1) = mult(rd(unit,X1),mult(X1,mult(X0,X1))),
inference(forward_demodulation,[],[f725,f4]) ).
fof(f860,plain,
! [X0,X1] : mult(rd(unit,X1),mult(X1,X0)) = X0,
inference(superposition,[],[f746,f3]) ).
fof(f964,plain,
! [X0,X1] : ld(X1,X0) = mult(rd(unit,X1),X0),
inference(superposition,[],[f860,f1]) ).
fof(f995,plain,
! [X0,X1] : rd(unit,X1) = rd(X0,mult(X1,X0)),
inference(superposition,[],[f4,f860]) ).
fof(f1099,plain,
! [X0,X1] : ld(mult(X0,mult(X1,X0)),X0) = rd(mult(unit,X1),mult(X1,mult(X0,X1))),
inference(superposition,[],[f269,f964]) ).
fof(f1112,plain,
! [X0,X1] : mult(ld(X0,X1),X1) = mult(rd(unit,X0),mult(X1,X1)),
inference(superposition,[],[f31,f964]) ).
fof(f1145,plain,
! [X0] : ld(X0,unit) = rd(unit,X0),
inference(superposition,[],[f5,f964]) ).
fof(f1177,plain,
! [X0,X1] : mult(ld(X0,X1),X1) = ld(X0,mult(X1,X1)),
inference(forward_demodulation,[],[f1112,f964]) ).
fof(f1190,plain,
! [X0,X1] : rd(X1,mult(X1,mult(X0,X1))) = ld(mult(X0,mult(X1,X0)),X0),
inference(forward_demodulation,[],[f1099,f6]) ).
fof(f1218,plain,
! [X0,X1] : rd(X1,X0) = rd(unit,rd(X0,X1)),
inference(superposition,[],[f995,f3]) ).
fof(f1233,plain,
! [X0,X1] : rd(unit,X0) = mult(rd(X1,mult(X1,mult(X0,X1))),X1),
inference(superposition,[],[f269,f995]) ).
fof(f1234,plain,
! [X0,X1] : mult(rd(unit,X0),X0) = rd(mult(mult(X1,X0),X1),mult(X1,mult(X0,X1))),
inference(superposition,[],[f269,f995]) ).
fof(f1249,plain,
! [X0,X1] : mult(rd(unit,X0),X0) = mult(mult(rd(X1,mult(X1,mult(X0,X1))),X1),X0),
inference(forward_demodulation,[],[f1234,f536]) ).
fof(f1250,plain,
! [X0,X1] : ld(X0,unit) = mult(rd(X1,mult(X1,mult(X0,X1))),X1),
inference(forward_demodulation,[],[f1233,f1145]) ).
fof(f1265,plain,
! [X0,X1] : rd(X1,X0) = ld(rd(X0,X1),unit),
inference(forward_demodulation,[],[f1218,f1145]) ).
fof(f1274,plain,
! [X0,X1] : unit = mult(mult(rd(X1,mult(X1,mult(X0,X1))),X1),X0),
inference(forward_demodulation,[],[f1249,f3]) ).
fof(f1279,plain,
! [X0] : unit = mult(ld(X0,unit),X0),
inference(forward_demodulation,[],[f1274,f1250]) ).
fof(f1292,plain,
! [X0,X1] : rd(mult(unit,mult(X1,mult(X0,X1))),X1) = mult(ld(X0,unit),mult(X0,mult(X1,X0))),
inference(superposition,[],[f84,f1279]) ).
fof(f1317,plain,
! [X0,X1] : rd(mult(X1,mult(X0,X1)),X1) = mult(ld(X0,unit),mult(X0,mult(X1,X0))),
inference(forward_demodulation,[],[f1292,f6]) ).
fof(f1332,plain,
! [X0,X1] : mult(ld(X0,unit),mult(X0,mult(X1,X0))) = mult(X1,rd(mult(X0,X1),X1)),
inference(forward_demodulation,[],[f1317,f402]) ).
fof(f1344,plain,
! [X0,X1] : mult(X1,X0) = mult(ld(X0,unit),mult(X0,mult(X1,X0))),
inference(forward_demodulation,[],[f1332,f4]) ).
fof(f1363,plain,
! [X0,X1] : mult(ld(X1,unit),mult(X1,X0)) = X0,
inference(superposition,[],[f1344,f3]) ).
fof(f1488,plain,
! [X0,X1] : ld(X1,X0) = mult(ld(X1,unit),X0),
inference(superposition,[],[f1363,f1]) ).
fof(f1517,plain,
! [X0,X1] : mult(X1,X0) = ld(ld(X1,unit),X0),
inference(superposition,[],[f2,f1363]) ).
fof(f1997,plain,
! [X0,X1] : ld(X1,X0) = mult(ld(X1,f(X0)),f(X0)),
inference(superposition,[],[f1177,f9]) ).
fof(f2003,plain,
! [X0,X1] : mult(X0,mult(mult(ld(X0,X1),X1),X0)) = mult(mult(X1,X1),X0),
inference(superposition,[],[f35,f1177]) ).
fof(f2009,plain,
! [X0,X1] : mult(X1,mult(X1,X0)) = mult(mult(X1,X1),X0),
inference(forward_demodulation,[],[f2003,f134]) ).
fof(f2020,plain,
! [X0,X1] : mult(X0,X1) = mult(f(X0),mult(f(X0),X1)),
inference(superposition,[],[f2009,f9]) ).
fof(f2507,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = rd(mult(mult(X0,X1),mult(X2,rd(X2,X1))),rd(X2,X1)),
inference(superposition,[],[f4,f113]) ).
fof(f3778,plain,
! [X0,X1] : ld(mult(X1,mult(rd(X0,X1),X1)),X1) = rd(rd(X0,X1),mult(X0,rd(X0,X1))),
inference(superposition,[],[f1190,f110]) ).
fof(f3854,plain,
! [X0,X1] : rd(unit,X0) = ld(mult(X1,mult(rd(X0,X1),X1)),X1),
inference(forward_demodulation,[],[f3778,f995]) ).
fof(f3892,plain,
! [X0,X1] : rd(unit,X0) = ld(mult(X1,X0),X1),
inference(forward_demodulation,[],[f3854,f3]) ).
fof(f3902,plain,
! [X0,X1] : ld(X0,unit) = ld(mult(X1,X0),X1),
inference(forward_demodulation,[],[f3892,f1145]) ).
fof(f3914,plain,
! [X0,X1] : ld(X1,unit) = ld(X0,rd(X0,X1)),
inference(superposition,[],[f3902,f3]) ).
fof(f3942,plain,
! [X0,X1] : mult(X1,X0) = rd(X1,ld(X0,unit)),
inference(superposition,[],[f85,f3902]) ).
fof(f4006,plain,
! [X0,X1] : mult(X1,ld(X0,unit)) = rd(X1,X0),
inference(superposition,[],[f1,f3914]) ).
fof(f8839,plain,
! [X2,X0,X1] : mult(rd(X1,X0),X2) = ld(rd(X0,X1),X2),
inference(superposition,[],[f1517,f1265]) ).
fof(f12680,plain,
! [X2,X0,X1] : mult(mult(X2,mult(f(X0),X1)),mult(ld(mult(f(X0),X1),f(X0)),f(X0))) = mult(mult(X2,mult(X0,X1)),ld(mult(f(X0),X1),f(X0))),
inference(superposition,[],[f51,f2020]) ).
fof(f12752,plain,
! [X2,X0,X1] : mult(mult(X2,mult(f(X0),X1)),mult(ld(X1,unit),f(X0))) = mult(mult(X2,mult(X0,X1)),ld(X1,unit)),
inference(forward_demodulation,[],[f12680,f3902]) ).
fof(f12814,plain,
! [X2,X0,X1] : mult(mult(X2,mult(f(X0),X1)),mult(ld(X1,unit),f(X0))) = rd(mult(X2,mult(X0,X1)),X1),
inference(forward_demodulation,[],[f12752,f4006]) ).
fof(f12854,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X1)),X1) = mult(mult(X2,mult(f(X0),X1)),ld(X1,f(X0))),
inference(forward_demodulation,[],[f12814,f1488]) ).
fof(f12873,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X1)),X1) = mult(mult(X2,X1),mult(ld(X1,f(X0)),f(X0))),
inference(forward_demodulation,[],[f12854,f51]) ).
fof(f12879,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X1)),X1) = mult(mult(X2,X1),ld(X1,X0)),
inference(forward_demodulation,[],[f12873,f1997]) ).
fof(f26014,plain,
! [X2,X0,X1] : mult(X1,mult(X2,mult(X0,X2))) = rd(mult(mult(X1,X2),mult(mult(X0,X2),X0)),X0),
inference(superposition,[],[f2507,f4]) ).
fof(f26100,plain,
! [X2,X0,X1] : mult(X1,mult(X2,mult(X0,X2))) = mult(mult(mult(X1,X2),X0),ld(X0,mult(X0,X2))),
inference(forward_demodulation,[],[f26014,f12879]) ).
fof(f26220,plain,
! [X2,X0,X1] : mult(X1,mult(X2,mult(X0,X2))) = mult(mult(mult(X1,X2),X0),X2),
inference(forward_demodulation,[],[f26100,f2]) ).
fof(f26420,plain,
! [X2,X0,X1] : mult(mult(X0,X2),X1) = mult(rd(X0,X1),mult(X1,mult(X2,X1))),
inference(superposition,[],[f26220,f3]) ).
fof(f26895,plain,
! [X2,X0,X1] : mult(mult(X1,rd(X0,X2)),X2) = mult(rd(X1,X2),mult(X2,X0)),
inference(superposition,[],[f26420,f3]) ).
fof(f26997,plain,
! [X2,X0,X1] : mult(X2,mult(X1,X2)) = ld(rd(X0,X2),mult(mult(X0,X1),X2)),
inference(superposition,[],[f2,f26420]) ).
fof(f27116,plain,
! [X2,X0,X1] : mult(X2,mult(X1,X2)) = mult(rd(X2,X0),mult(mult(X0,X1),X2)),
inference(forward_demodulation,[],[f26997,f8839]) ).
fof(f27444,plain,
! [X2,X0,X1] : mult(X1,mult(mult(X2,X0),X1)) = mult(rd(X1,ld(X2,unit)),mult(X0,X1)),
inference(superposition,[],[f27116,f1363]) ).
fof(f27729,plain,
! [X2,X0,X1] : mult(X1,mult(mult(X2,X0),X1)) = mult(mult(X1,X2),mult(X0,X1)),
inference(forward_demodulation,[],[f27444,f3942]) ).
fof(f28135,plain,
! [X2,X0,X1] : mult(mult(X1,X2),X0) = mult(X1,mult(mult(X2,rd(X0,X1)),X1)),
inference(superposition,[],[f27729,f3]) ).
fof(f28502,plain,
! [X2,X0,X1] : mult(mult(X1,X2),X0) = mult(X1,mult(rd(X2,X1),mult(X1,X0))),
inference(forward_demodulation,[],[f28135,f26895]) ).
fof(f30927,plain,
! [X2,X0,X1] : mult(mult(X1,mult(X0,X1)),X2) = mult(X1,mult(X0,mult(X1,X2))),
inference(superposition,[],[f28502,f4]) ).
fof(f31830,plain,
mult(a,mult(b,mult(a,c))) != mult(a,mult(b,mult(a,c))),
inference(superposition,[],[f15,f30927]) ).
fof(f31992,plain,
$false,
inference(trivial_inequality_removal,[],[f31830]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP667-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n007.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 10:32:10 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 8.16/4.14 % (1218879)Detected a unit-equality problem, will run specialized UEQ schedule.
% 8.16/4.14 % (1218888)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3671176997:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 8.16/4.14 % (1218885)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4207190116:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 8.16/4.14 % (1218886)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1935478684:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 8.16/4.14 % (1218887)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2397177115:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 8.16/4.14 % (1218884)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=4144605233:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 8.16/4.14 % (1218889)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4152909701:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 8.16/4.14 % (1218890)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2406190020:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 8.16/4.14 % (1218888)Instruction limit reached!
% 8.16/4.14 % (1218888)------------------------------
% 8.16/4.14 % (1218888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/4.14 % (1218888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/4.14 % (1218888)CaDiCaL version: 2.1.3
% 8.16/4.14 % (1218888)Termination reason: Instruction limit
% 8.16/4.14 % (1218888)Termination phase: Saturation
% 8.16/4.14 % (1218888)Time elapsed: 0.056 s
% 8.16/4.14 % (1218888)Peak memory usage: 89 MB
% 8.16/4.14 % (1218888)Instructions burned: 181 (million)
% 8.16/4.14 % (1218887)Instruction limit reached!
% 8.16/4.14 % (1218887)------------------------------
% 8.16/4.14 % (1218887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/4.14 % (1218887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/4.14 % (1218887)CaDiCaL version: 2.1.3
% 8.16/4.14 % (1218887)Termination reason: Instruction limit
% 8.16/4.14 % (1218887)Termination phase: Saturation
% 8.16/4.14 % (1218887)Time elapsed: 0.082 s
% 8.16/4.14 % (1218887)Peak memory usage: 89 MB
% 8.16/4.14 % (1218887)Instructions burned: 136 (million)
% 8.16/4.14 % (1218898)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1058479610:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 8.16/4.14 % (1218889)Instruction limit reached!
% 8.16/4.14 % (1218889)------------------------------
% 8.16/4.14 % (1218889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/4.14 % (1218889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/4.14 % (1218889)CaDiCaL version: 2.1.3
% 8.16/4.14 % (1218889)Termination reason: Instruction limit
% 8.16/4.14 % (1218889)Termination phase: Saturation
% 8.16/4.14 % (1218889)Time elapsed: 0.164 s
% 8.16/4.14 % (1218889)Peak memory usage: 90 MB
% 8.16/4.14 % (1218889)Instructions burned: 258 (million)
% 8.16/4.14 % (1218899)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3913019614:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 8.16/4.14 % (1218901)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3370687184:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 8.16/4.14 % (1218901)Instruction limit reached!
% 8.16/4.14 % (1218901)------------------------------
% 8.16/4.14 % (1218901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/4.14 % (1218901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/4.14 % (1218901)CaDiCaL version: 2.1.3
% 8.16/4.14 % (1218901)Termination reason: Instruction limit
% 8.16/4.14 % (1218901)Termination phase: Saturation
% 8.16/4.14 % (1218901)Time elapsed: 0.116 s
% 8.16/4.14 % (1218901)Peak memory usage: 90 MB
% 8.16/4.14 % (1218901)Instructions burned: 215 (million)
% 8.16/4.14 % (1218904)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=751003908:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 8.16/4.14 % (1218890)Instruction limit reached!
% 8.16/4.14 % (1218890)------------------------------
% 8.16/4.14 % (1218890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/4.14 % (1218890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/4.14 % (1218890)CaDiCaL version: 2.1.3
% 8.16/4.14 % (1218890)Termination reason: Instruction limit
% 8.16/4.14 % (1218890)Termination phase: Saturation
% 8.16/4.14 % (1218890)Time elapsed: 0.658 s
% 8.16/4.14 % (1218890)Peak memory usage: 102 MB
% 8.16/4.14 % (1218890)Instructions burned: 1188 (million)
% 8.16/4.14 % (1218904)Instruction limit reached!
% 8.16/4.14 % (1218904)------------------------------
% 8.16/4.14 % (1218904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/4.14 % (1218904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/4.14 % (1218904)CaDiCaL version: 2.1.3
% 8.16/4.14 % (1218904)Termination reason: Instruction limit
% 8.16/4.14 % (1218904)Termination phase: Saturation
% 8.16/4.14 % (1218904)Time elapsed: 0.193 s
% 8.16/4.14 % (1218904)Peak memory usage: 95 MB
% 8.16/4.14 % (1218904)Instructions burned: 318 (million)
% 8.16/4.14 % (1218906)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=676500829:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 8.16/4.14 % (1218898)Instruction limit reached!
% 8.16/4.14 % (1218898)------------------------------
% 8.16/4.14 % (1218898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/4.14 % (1218898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/4.14 % (1218898)CaDiCaL version: 2.1.3
% 8.16/4.14 % (1218898)Termination reason: Instruction limit
% 8.16/4.14 % (1218898)Termination phase: Saturation
% 8.16/4.14 % (1218898)Time elapsed: 0.738 s
% 8.16/4.14 % (1218898)Peak memory usage: 141 MB
% 8.16/4.14 % (1218898)Instructions burned: 2053 (million)
% 8.16/4.14 % (1218907)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=435021713:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 8.16/4.14 % (1218909)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2594737845:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2989 on theBenchmark for (2989ds/14534Mi)
% 8.16/4.14 % (1218907)Instruction limit reached!
% 8.16/4.14 % (1218907)------------------------------
% 8.16/4.14 % (1218907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/4.14 % (1218907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/4.14 % (1218907)CaDiCaL version: 2.1.3
% 8.16/4.14 % (1218907)Termination reason: Instruction limit
% 8.16/4.14 % (1218907)Termination phase: Saturation
% 8.16/4.14 % (1218907)Time elapsed: 1.207 s
% 8.16/4.14 % (1218907)Peak memory usage: 130 MB
% 8.16/4.14 % (1218907)Instructions burned: 2838 (million)
% 8.16/4.14 % (1218912)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=37318932:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2977 on theBenchmark for (2977ds/11832Mi)
% 8.16/4.14 % (1218885)First to succeed.
% 8.16/4.14 % (1218885)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1218879"
% 8.16/4.14 % (1218909)Also succeeded, but the first one will report.
% 8.16/4.14 % (1218885)Refutation found. Thanks to Tanya!
% 8.16/4.14 % SZS status Unsatisfiable for theBenchmark
% 8.16/4.14 % SZS output start Proof for theBenchmark
% See solution above
% 23.64/4.27 % (1218885)------------------------------
% 23.64/4.27 % (1218885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.64/4.27 % (1218885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.64/4.27 % (1218885)CaDiCaL version: 2.1.3
% 23.64/4.27 % (1218885)Termination reason: Refutation
% 23.64/4.27 % (1218885)Time elapsed: 2.860 s
% 23.64/4.27 % (1218885)Peak memory usage: 168 MB
% 23.64/4.27 % (1218885)Instructions burned: 4773 (million)
% 23.64/4.27 % (1218885)------------------------------
% 23.64/4.27 % (1218885)------------------------------
% 23.64/4.27 % (1218879)Success in time 3.264 s
% 23.64/4.27 % Vampire exiting
%------------------------------------------------------------------------------