%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP686-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 10:15:36 AM UTC 2026
% Result : Unsatisfiable 4.89s 1.75s
% Output : Refutation 6.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 23
% Syntax : Number of formulae : 120 ( 75 unt; 15 def)
% Number of atoms : 195 ( 94 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 144 ( 69 ~; 66 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 10 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 107 ( 0 sgn 107 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,X1)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
fof(f8,negated_conjecture,
mult(mult(a,a),mult(b,c)) != mult(mult(a,mult(a,b)),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f9,definition,
sF0 = mult(a,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f10,plain,
mult(a,a) = sF0,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF1 = mult(b,c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f12,plain,
mult(b,c) = sF1,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF2 = mult(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f14,plain,
mult(sF0,sF1) = sF2,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF3 = mult(a,b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f16,plain,
mult(a,b) = sF3,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF4 = mult(a,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f18,plain,
mult(a,sF3) = sF4,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF5 = mult(sF4,c),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f20,plain,
mult(sF4,c) = sF5,
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
sF2 != sF5,
inference(definition_folding,[],[f8,f20,f18,f16,f14,f12,f10]) ).
fof(f30,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X1)) = rd(mult(X0,mult(X1,mult(X1,X2))),X2),
inference(superposition,[],[f4,f7]) ).
fof(f31,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f37,plain,
! [X0,X1] : mult(unit,mult(X0,mult(X0,X1))) = mult(mult(X0,X0),X1),
inference(superposition,[],[f7,f6]) ).
fof(f38,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = mult(mult(X0,X0),X1),
inference(forward_demodulation,[],[f37,f6]) ).
fof(f42,definition,
( spl6_1
<=> sF2 = sF5 ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f44,plain,
( sF2 != sF5
| spl6_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f45,plain,
~ spl6_1,
inference(avatar_split_clause,[],[f21,f42]) ).
fof(f47,plain,
! [X2,X0,X1] : mult(X0,X2) = mult(rd(X0,mult(X1,X1)),mult(X1,mult(X1,X2))),
inference(superposition,[],[f7,f3]) ).
fof(f49,definition,
( spl6_2
<=> mult(sF4,c) = sF5 ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f51,plain,
( mult(sF4,c) = sF5
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f52,plain,
spl6_2,
inference(avatar_split_clause,[],[f20,f49]) ).
fof(f54,definition,
( spl6_3
<=> mult(sF0,sF1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f56,plain,
( mult(sF0,sF1) = sF2
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f57,plain,
spl6_3,
inference(avatar_split_clause,[],[f14,f54]) ).
fof(f64,plain,
! [X0] : unit = ld(X0,X0),
inference(superposition,[],[f2,f5]) ).
fof(f66,plain,
! [X0] : rd(X0,unit) = X0,
inference(superposition,[],[f3,f5]) ).
fof(f70,definition,
( spl6_4
<=> mult(a,a) = sF0 ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f72,plain,
( mult(a,a) = sF0
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,plain,
spl6_4,
inference(avatar_split_clause,[],[f10,f70]) ).
fof(f74,plain,
( ! [X0,X1] : mult(X0,mult(a,mult(a,X1))) = mult(mult(X0,sF0),X1)
| ~ spl6_4 ),
inference(superposition,[],[f7,f72]) ).
fof(f78,definition,
( spl6_5
<=> mult(b,c) = sF1 ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f80,plain,
( mult(b,c) = sF1
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,plain,
spl6_5,
inference(avatar_split_clause,[],[f12,f78]) ).
fof(f85,definition,
( spl6_6
<=> mult(a,b) = sF3 ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f87,plain,
( mult(a,b) = sF3
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
spl6_6,
inference(avatar_split_clause,[],[f16,f85]) ).
fof(f90,plain,
( b = ld(a,sF3)
| ~ spl6_6 ),
inference(superposition,[],[f2,f87]) ).
fof(f92,definition,
( spl6_7
<=> mult(a,sF3) = sF4 ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f94,plain,
( mult(a,sF3) = sF4
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f95,plain,
spl6_7,
inference(avatar_split_clause,[],[f18,f92]) ).
fof(f105,plain,
! [X2,X0,X1] : mult(X1,ld(X2,X0)) = mult(rd(X1,mult(X2,X2)),mult(X2,X0)),
inference(superposition,[],[f47,f1]) ).
fof(f119,plain,
! [X2,X0,X1] : rd(X0,mult(X2,X2)) = rd(mult(X0,X1),mult(X2,mult(X2,X1))),
inference(superposition,[],[f4,f47]) ).
fof(f120,plain,
! [X2,X0,X1] : mult(X2,mult(X2,X1)) = ld(rd(X0,mult(X2,X2)),mult(X0,X1)),
inference(superposition,[],[f2,f47]) ).
fof(f153,plain,
( ! [X0] : mult(a,mult(a,X0)) = mult(sF0,X0)
| ~ spl6_4 ),
inference(superposition,[],[f38,f72]) ).
fof(f168,plain,
( ! [X0,X1] : mult(mult(X0,sF0),X1) = mult(X0,mult(sF0,X1))
| ~ spl6_4 ),
inference(backward_demodulation,[],[f74,f153]) ).
fof(f237,plain,
! [X2,X0,X1] : mult(X1,ld(X2,ld(X2,X0))) = mult(rd(X1,mult(X2,X2)),X0),
inference(superposition,[],[f105,f1]) ).
fof(f240,plain,
! [X2,X0,X1] : mult(X2,ld(mult(X0,X0),X1)) = mult(rd(X2,mult(mult(X0,X0),mult(X0,X0))),mult(X0,mult(X0,X1))),
inference(superposition,[],[f105,f38]) ).
fof(f264,plain,
! [X2,X0,X1] : mult(X2,ld(mult(X0,X0),X1)) = mult(rd(X2,mult(X0,mult(X0,mult(X0,X0)))),mult(X0,mult(X0,X1))),
inference(forward_demodulation,[],[f240,f38]) ).
fof(f477,plain,
! [X2,X0,X1] : mult(X1,mult(X1,ld(X2,X0))) = ld(rd(X2,mult(X1,X1)),X0),
inference(superposition,[],[f120,f1]) ).
fof(f736,plain,
! [X2,X0,X1] : rd(rd(X0,X1),mult(X2,X2)) = rd(X0,mult(X2,mult(X2,X1))),
inference(superposition,[],[f119,f3]) ).
fof(f832,plain,
! [X2,X3,X0,X1] : mult(rd(X0,X2),ld(X1,X3)) = mult(rd(X0,mult(X1,mult(X1,X2))),mult(X1,X3)),
inference(superposition,[],[f105,f736]) ).
fof(f835,plain,
! [X2,X0,X1] : mult(X2,ld(mult(X0,X0),X1)) = mult(rd(X2,mult(X0,X0)),ld(X0,mult(X0,X1))),
inference(backward_demodulation,[],[f264,f832]) ).
fof(f850,plain,
! [X2,X0,X1] : mult(X2,ld(mult(X0,X0),X1)) = mult(rd(X2,mult(X0,X0)),X1),
inference(forward_demodulation,[],[f835,f2]) ).
fof(f865,plain,
! [X2,X0,X1] : mult(X1,ld(X2,ld(X2,X0))) = mult(X1,ld(mult(X2,X2),X0)),
inference(backward_demodulation,[],[f237,f850]) ).
fof(f1065,plain,
! [X0,X1] : ld(X0,ld(X0,X1)) = mult(unit,ld(mult(X0,X0),X1)),
inference(superposition,[],[f6,f865]) ).
fof(f1066,plain,
! [X0,X1] : ld(mult(X0,X0),X1) = ld(X0,ld(X0,X1)),
inference(forward_demodulation,[],[f1065,f6]) ).
fof(f1145,plain,
! [X0] : ld(X0,unit) = ld(mult(X0,X0),X0),
inference(superposition,[],[f1066,f64]) ).
fof(f1178,plain,
! [X0] : rd(unit,ld(mult(X0,X0),X0)) = X0,
inference(superposition,[],[f31,f1145]) ).
fof(f1550,plain,
! [X2,X0,X1] : mult(X1,mult(X2,X2)) = rd(mult(X1,mult(X2,X0)),ld(X2,X0)),
inference(superposition,[],[f30,f1]) ).
fof(f1670,plain,
! [X2,X0,X1] : rd(X0,ld(X1,X2)) = mult(rd(X0,mult(X1,X2)),mult(X1,X1)),
inference(superposition,[],[f1550,f3]) ).
fof(f1827,plain,
! [X2,X0,X1] : rd(X1,ld(X2,ld(X2,X0))) = mult(rd(X1,X0),mult(X2,X2)),
inference(superposition,[],[f1670,f1]) ).
fof(f1844,plain,
( ! [X0] : rd(X0,ld(a,sF3)) = mult(rd(X0,sF4),mult(a,a))
| ~ spl6_7 ),
inference(superposition,[],[f1670,f94]) ).
fof(f1907,plain,
( ! [X0] : rd(X0,ld(a,sF3)) = mult(rd(X0,sF4),sF0)
| ~ spl6_4
| ~ spl6_7 ),
inference(forward_demodulation,[],[f1844,f72]) ).
fof(f1921,plain,
! [X2,X0,X1] : mult(rd(X1,X0),mult(X2,X2)) = rd(X1,ld(mult(X2,X2),X0)),
inference(forward_demodulation,[],[f1827,f1066]) ).
fof(f1933,plain,
( ! [X0] : rd(X0,b) = mult(rd(X0,sF4),sF0)
| ~ spl6_4
| ~ spl6_6
| ~ spl6_7 ),
inference(forward_demodulation,[],[f1907,f90]) ).
fof(f1945,plain,
! [X0] : mult(rd(unit,X0),mult(X0,X0)) = X0,
inference(backward_demodulation,[],[f1178,f1921]) ).
fof(f2094,plain,
! [X0] : rd(unit,X0) = rd(X0,mult(X0,X0)),
inference(superposition,[],[f4,f1945]) ).
fof(f2151,plain,
! [X0,X1] : mult(X0,mult(X0,ld(X0,X1))) = ld(rd(unit,X0),X1),
inference(superposition,[],[f477,f2094]) ).
fof(f2162,plain,
! [X0,X1] : mult(X0,X1) = ld(rd(unit,X0),X1),
inference(forward_demodulation,[],[f2151,f1]) ).
fof(f2190,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(X0,unit),X1),
inference(superposition,[],[f2162,f31]) ).
fof(f2220,plain,
! [X0,X1] : rd(unit,X0) = rd(X1,mult(X0,X1)),
inference(superposition,[],[f31,f2162]) ).
fof(f2308,plain,
( ! [X0,X1] : mult(ld(X0,unit),mult(sF0,X1)) = mult(ld(X0,sF0),X1)
| ~ spl6_4 ),
inference(superposition,[],[f168,f2190]) ).
fof(f2309,plain,
( ! [X0,X1] : ld(X0,mult(sF0,X1)) = mult(ld(X0,sF0),X1)
| ~ spl6_4 ),
inference(forward_demodulation,[],[f2308,f2190]) ).
fof(f2426,plain,
! [X0,X1] : rd(unit,X1) = rd(ld(X1,X0),X0),
inference(superposition,[],[f2220,f1]) ).
fof(f2445,plain,
( rd(unit,b) = rd(c,sF1)
| ~ spl6_5 ),
inference(superposition,[],[f2220,f80]) ).
fof(f2596,plain,
! [X0] : ld(X0,unit) = rd(unit,X0),
inference(superposition,[],[f66,f2426]) ).
fof(f2639,plain,
( rd(c,sF1) = ld(b,unit)
| ~ spl6_5 ),
inference(backward_demodulation,[],[f2445,f2596]) ).
fof(f2954,plain,
( rd(unit,b) = mult(ld(sF4,unit),sF0)
| ~ spl6_4
| ~ spl6_6
| ~ spl6_7 ),
inference(superposition,[],[f1933,f2596]) ).
fof(f2955,plain,
( rd(unit,b) = ld(sF4,sF0)
| ~ spl6_4
| ~ spl6_6
| ~ spl6_7 ),
inference(forward_demodulation,[],[f2954,f2190]) ).
fof(f2987,plain,
( ld(b,unit) = ld(sF4,sF0)
| ~ spl6_4
| ~ spl6_6
| ~ spl6_7 ),
inference(forward_demodulation,[],[f2955,f2596]) ).
fof(f3001,plain,
( rd(c,sF1) = ld(sF4,sF0)
| ~ spl6_4
| ~ spl6_5
| ~ spl6_6
| ~ spl6_7 ),
inference(backward_demodulation,[],[f2639,f2987]) ).
fof(f3998,definition,
( spl6_13
<=> rd(c,sF1) = ld(sF4,sF0) ),
introduced(definition,[new_symbols(definition,[spl6_13])],[avatar_definition]) ).
fof(f4000,plain,
( rd(c,sF1) = ld(sF4,sF0)
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f3998]) ).
fof(f4001,plain,
( spl6_13
| ~ spl6_4
| ~ spl6_5
| ~ spl6_6
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f3001,f92,f85,f78,f70,f3998]) ).
fof(f4595,plain,
( c = mult(ld(sF4,sF0),sF1)
| ~ spl6_13 ),
inference(superposition,[],[f3,f4000]) ).
fof(f4596,plain,
( c = ld(sF4,mult(sF0,sF1))
| ~ spl6_4
| ~ spl6_13 ),
inference(forward_demodulation,[],[f4595,f2309]) ).
fof(f4600,plain,
( c = ld(sF4,sF2)
| ~ spl6_3
| ~ spl6_4
| ~ spl6_13 ),
inference(forward_demodulation,[],[f4596,f56]) ).
fof(f4607,definition,
( spl6_16
<=> c = ld(sF4,sF2) ),
introduced(definition,[new_symbols(definition,[spl6_16])],[avatar_definition]) ).
fof(f4609,plain,
( c = ld(sF4,sF2)
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f4607]) ).
fof(f4610,plain,
( spl6_16
| ~ spl6_3
| ~ spl6_4
| ~ spl6_13 ),
inference(avatar_split_clause,[],[f4600,f3998,f70,f54,f4607]) ).
fof(f4615,plain,
( sF2 = mult(sF4,c)
| ~ spl6_16 ),
inference(superposition,[],[f1,f4609]) ).
fof(f4616,plain,
( sF2 = sF5
| ~ spl6_2
| ~ spl6_16 ),
inference(forward_demodulation,[],[f4615,f51]) ).
fof(f4617,plain,
( $false
| spl6_1
| ~ spl6_2
| ~ spl6_16 ),
inference(forward_subsumption_resolution,[],[f4616,f44]) ).
fof(f4618,plain,
( spl6_1
| ~ spl6_2
| ~ spl6_16 ),
inference(avatar_contradiction_clause,[],[f4617]) ).
cnf(s1,plain,
~ spl6_1,
inference(sat_conversion,[],[f45]) ).
cnf(s2,plain,
spl6_2,
inference(sat_conversion,[],[f52]) ).
cnf(s3,plain,
spl6_3,
inference(sat_conversion,[],[f57]) ).
cnf(s4,plain,
spl6_4,
inference(sat_conversion,[],[f73]) ).
cnf(s5,plain,
spl6_5,
inference(sat_conversion,[],[f81]) ).
cnf(s6,plain,
spl6_6,
inference(sat_conversion,[],[f88]) ).
cnf(s7,plain,
spl6_7,
inference(sat_conversion,[],[f95]) ).
cnf(s13,plain,
( ~ spl6_4
| ~ spl6_5
| ~ spl6_6
| ~ spl6_7
| spl6_13 ),
inference(sat_conversion,[],[f4001]) ).
cnf(s16,plain,
( ~ spl6_3
| ~ spl6_4
| ~ spl6_13
| spl6_16 ),
inference(sat_conversion,[],[f4610]) ).
cnf(s17,plain,
( spl6_1
| ~ spl6_2
| ~ spl6_16 ),
inference(sat_conversion,[],[f4618]) ).
cnf(s19,plain,
spl6_13,
inference(rat,[],[s13,s5,s7,s6,s4]) ).
cnf(s24,plain,
spl6_16,
inference(rat,[],[s16,s19,s4,s3]) ).
cnf(s26,plain,
spl6_1,
inference(rat,[],[s17,s24,s2]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s1,s26]) ).
fof(f4619,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP686-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 % Computer : n020.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 27 10:36:49 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 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
% 4.89/1.75 % (3189648)Detected a unit-equality problem, will run specialized UEQ schedule.
% 4.89/1.75 % (3189766)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=3619289814:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 4.89/1.75 % (3189767)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=708379177:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 4.89/1.75 % (3189770)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1989941693:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 4.89/1.75 % (3189769)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=603913015:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 4.89/1.75 % (3189772)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=346421870:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 4.89/1.75 % (3189771)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2051924200:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 4.89/1.75 % (3189768)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4115970644:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 4.89/1.75 % (3189769)Instruction limit reached!
% 4.89/1.75 % (3189769)------------------------------
% 4.89/1.75 % (3189769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.89/1.75 % (3189769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.89/1.75 % (3189769)CaDiCaL version: 2.1.3
% 4.89/1.75 % (3189769)Termination reason: Instruction limit
% 4.89/1.75 % (3189769)Termination phase: Saturation
% 4.89/1.75 % (3189769)Time elapsed: 0.071 s
% 4.89/1.75 % (3189769)Peak memory usage: 88 MB
% 4.89/1.75 % (3189769)Instructions burned: 137 (million)
% 4.89/1.75 % (3189770)Instruction limit reached!
% 4.89/1.75 % (3189770)------------------------------
% 4.89/1.75 % (3189770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.89/1.75 % (3189770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.89/1.75 % (3189770)CaDiCaL version: 2.1.3
% 4.89/1.75 % (3189770)Termination reason: Instruction limit
% 4.89/1.75 % (3189770)Termination phase: Saturation
% 4.89/1.75 % (3189770)Time elapsed: 0.103 s
% 4.89/1.75 % (3189770)Peak memory usage: 89 MB
% 4.89/1.75 % (3189770)Instructions burned: 181 (million)
% 4.89/1.75 % (3189771)Instruction limit reached!
% 4.89/1.75 % (3189771)------------------------------
% 4.89/1.75 % (3189771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.89/1.75 % (3189771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.89/1.75 % (3189771)CaDiCaL version: 2.1.3
% 4.89/1.75 % (3189771)Termination reason: Instruction limit
% 4.89/1.75 % (3189771)Termination phase: Saturation
% 4.89/1.75 % (3189771)Time elapsed: 0.151 s
% 4.89/1.75 % (3189771)Peak memory usage: 89 MB
% 4.89/1.75 % (3189771)Instructions burned: 258 (million)
% 4.89/1.75 % (3189780)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=575532835:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 4.89/1.75 % (3189781)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=734595211:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 4.89/1.75 % (3189782)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2680962843:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 4.89/1.75 % (3189782)Instruction limit reached!
% 4.89/1.75 % (3189782)------------------------------
% 4.89/1.75 % (3189782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.89/1.75 % (3189782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.89/1.75 % (3189782)CaDiCaL version: 2.1.3
% 4.89/1.75 % (3189782)Termination reason: Instruction limit
% 4.89/1.75 % (3189782)Termination phase: Saturation
% 4.89/1.75 % (3189782)Time elapsed: 0.116 s
% 4.89/1.75 % (3189782)Peak memory usage: 90 MB
% 4.89/1.75 % (3189782)Instructions burned: 215 (million)
% 4.89/1.75 % (3189766)First to succeed.
% 4.89/1.75 % (3189766)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3189648"
% 4.89/1.75 % (3189786)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=2996994139: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)
% 4.89/1.75 % (3189772)Instruction limit reached!
% 4.89/1.75 % (3189772)------------------------------
% 4.89/1.75 % (3189772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.89/1.75 % (3189772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.89/1.75 % (3189772)CaDiCaL version: 2.1.3
% 4.89/1.75 % (3189772)Termination reason: Instruction limit
% 4.89/1.75 % (3189772)Termination phase: Saturation
% 4.89/1.75 % (3189772)Time elapsed: 0.604 s
% 4.89/1.75 % (3189772)Peak memory usage: 99 MB
% 4.89/1.75 % (3189772)Instructions burned: 1188 (million)
% 4.89/1.75 % (3189766)Refutation found. Thanks to Tanya!
% 4.89/1.75 % SZS status Unsatisfiable for theBenchmark
% 4.89/1.75 % SZS output start Proof for theBenchmark
% See solution above
% 6.78/1.94 % (3189766)------------------------------
% 6.78/1.94 % (3189766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.94 % (3189766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.94 % (3189766)CaDiCaL version: 2.1.3
% 6.78/1.94 % (3189766)Termination reason: Refutation
% 6.78/1.94 % (3189766)Time elapsed: 0.583 s
% 6.78/1.94 % (3189766)Peak memory usage: 134 MB
% 6.78/1.94 % (3189766)Instructions burned: 1478 (million)
% 6.78/1.94 % (3189766)------------------------------
% 6.78/1.94 % (3189766)------------------------------
% 6.78/1.94 % (3189648)Success in time 0.88 s
% 6.78/1.94 % Vampire exiting
%------------------------------------------------------------------------------