%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE147+2 : 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 : n017.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 11:40:28 AM UTC 2026
% Result : Theorem 10.17s 2.40s
% Output : Refutation 11.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 19
% Syntax : Number of formulae : 96 ( 62 unt; 7 def)
% Number of atoms : 132 ( 62 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 34 ~; 29 |; 3 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 97 ( 0 sgn 95 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
fof(f11,axiom,
! [X0] : addition(one,multiplication(X0,star(X0))) = star(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold1) ).
fof(f12,axiom,
! [X0] : addition(one,multiplication(star(X0),X0)) = star(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold2) ).
fof(f13,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X2),X1),X2)
=> leq(multiplication(star(X0),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_induction1) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infty_unfold1) ).
fof(f18,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f19,conjecture,
! [X0,X1] :
( leq(strong_iteration(multiplication(star(X0),X1)),multiplication(star(X1),strong_iteration(multiplication(star(X0),X1))))
& leq(multiplication(star(X1),strong_iteration(multiplication(star(X0),X1))),strong_iteration(multiplication(star(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1] :
( leq(strong_iteration(multiplication(star(X0),X1)),multiplication(star(X1),strong_iteration(multiplication(star(X0),X1))))
& leq(multiplication(star(X1),strong_iteration(multiplication(star(X0),X1))),strong_iteration(multiplication(star(X0),X1))) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X1),X2)
| ~ leq(addition(multiplication(X0,X2),X1),X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f24,plain,
? [X0,X1] :
( ~ leq(strong_iteration(multiplication(star(X0),X1)),multiplication(star(X1),strong_iteration(multiplication(star(X0),X1))))
| ~ leq(multiplication(star(X1),strong_iteration(multiplication(star(X0),X1))),strong_iteration(multiplication(star(X0),X1))) ),
inference(ennf_transformation,[],[f20]) ).
fof(f25,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f26,plain,
( ~ leq(strong_iteration(multiplication(star(sK0),sK1)),multiplication(star(sK1),strong_iteration(multiplication(star(sK0),sK1))))
| ~ leq(multiplication(star(sK1),strong_iteration(multiplication(star(sK0),sK1))),strong_iteration(multiplication(star(sK0),sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f24]) ).
fof(f27,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f30,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f33,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f35,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f37,plain,
! [X0] : star(X0) = addition(one,multiplication(X0,star(X0))),
inference(cnf_transformation,[],[f11]) ).
fof(f38,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X2),X1),X2)
| leq(multiplication(star(X0),X1),X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f41,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f44,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f45,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f46,plain,
( ~ leq(strong_iteration(multiplication(star(sK0),sK1)),multiplication(star(sK1),strong_iteration(multiplication(star(sK0),sK1))))
| ~ leq(multiplication(star(sK1),strong_iteration(multiplication(star(sK0),sK1))),strong_iteration(multiplication(star(sK0),sK1))) ),
inference(cnf_transformation,[],[f26]) ).
fof(f47,definition,
sF2 = star(sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f48,plain,
star(sK0) = sF2,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF3 = multiplication(sF2,sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f50,plain,
multiplication(sF2,sK1) = sF3,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF4 = strong_iteration(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f52,plain,
strong_iteration(sF3) = sF4,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF5 = star(sK1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f54,plain,
star(sK1) = sF5,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF6 = multiplication(sF5,sF4),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f56,plain,
multiplication(sF5,sF4) = sF6,
inference(reorient_equations,[],[f55]) ).
fof(f57,plain,
( ~ leq(sF4,sF6)
| ~ leq(sF6,sF4) ),
inference(definition_folding,[],[f46,f52,f50,f48,f56,f52,f50,f48,f54,f56,f52,f50,f48,f54,f52,f50,f48]) ).
fof(f59,definition,
( spl7_1
<=> leq(sF6,sF4) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f61,plain,
( ~ leq(sF6,sF4)
| spl7_1 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f63,definition,
( spl7_2
<=> leq(sF4,sF6) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f65,plain,
( ~ leq(sF4,sF6)
| spl7_2 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f66,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f57,f63,f59]) ).
fof(f78,plain,
! [X0] : strong_iteration(X0) = addition(one,multiplication(X0,strong_iteration(X0))),
inference(superposition,[],[f27,f41]) ).
fof(f141,plain,
! [X0,X1] : addition(multiplication(X0,strong_iteration(X0)),addition(one,X1)) = addition(strong_iteration(X0),X1),
inference(superposition,[],[f28,f41]) ).
fof(f148,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f27,f28]) ).
fof(f151,plain,
! [X0,X1] : addition(strong_iteration(X0),X1) = addition(one,addition(X1,multiplication(X0,strong_iteration(X0)))),
inference(forward_demodulation,[],[f141,f148]) ).
fof(f183,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f28,f30]) ).
fof(f184,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f45,f30]) ).
fof(f186,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f184]) ).
fof(f188,plain,
sF5 = addition(one,multiplication(sK1,sF5)),
inference(superposition,[],[f37,f54]) ).
fof(f198,plain,
sF2 = addition(one,multiplication(sF2,sK0)),
inference(superposition,[],[f38,f48]) ).
fof(f267,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f35,f33]) ).
fof(f278,plain,
! [X2,X0,X1] : multiplication(addition(one,multiplication(X0,X1)),X2) = addition(X2,multiplication(X0,multiplication(X1,X2))),
inference(superposition,[],[f267,f31]) ).
fof(f280,plain,
multiplication(addition(one,sF2),sK1) = addition(sK1,sF3),
inference(superposition,[],[f267,f50]) ).
fof(f282,plain,
multiplication(addition(one,sF5),sF4) = addition(sF4,sF6),
inference(superposition,[],[f267,f56]) ).
fof(f313,plain,
! [X0,X1] :
( leq(multiplication(star(X0),multiplication(X0,X1)),X1)
| ~ leq(multiplication(X0,X1),X1) ),
inference(superposition,[],[f39,f30]) ).
fof(f315,plain,
! [X2,X0,X1] :
( ~ leq(addition(X0,multiplication(X1,X2)),X2)
| leq(multiplication(star(X1),X0),X2) ),
inference(superposition,[],[f39,f27]) ).
fof(f693,plain,
sF5 = addition(one,sF5),
inference(superposition,[],[f183,f188]) ).
fof(f732,plain,
sF2 = addition(one,sF2),
inference(superposition,[],[f183,f198]) ).
fof(f892,plain,
! [X0,X1] : addition(strong_iteration(X1),multiplication(X0,strong_iteration(X1))) = addition(one,multiplication(addition(X0,X1),strong_iteration(X1))),
inference(superposition,[],[f151,f35]) ).
fof(f909,plain,
! [X0,X1] : addition(one,multiplication(addition(X0,X1),strong_iteration(X1))) = multiplication(addition(one,X0),strong_iteration(X1)),
inference(forward_demodulation,[],[f892,f267]) ).
fof(f1418,plain,
! [X0,X1] :
( ~ leq(multiplication(X0,X1),X1)
| addition(multiplication(star(X0),multiplication(X0,X1)),X1) = X1 ),
inference(resolution,[],[f313,f44]) ).
fof(f1440,plain,
! [X0,X1] :
( addition(X1,multiplication(star(X0),multiplication(X0,X1))) = X1
| ~ leq(multiplication(X0,X1),X1) ),
inference(forward_demodulation,[],[f1418,f27]) ).
fof(f1442,plain,
! [X0,X1] :
( multiplication(addition(one,multiplication(star(X0),X0)),X1) = X1
| ~ leq(multiplication(X0,X1),X1) ),
inference(forward_demodulation,[],[f1440,f278]) ).
fof(f1444,plain,
! [X0,X1] :
( ~ leq(multiplication(X0,X1),X1)
| multiplication(star(X0),X1) = X1 ),
inference(forward_demodulation,[],[f1442,f38]) ).
fof(f1448,plain,
! [X0] :
( ~ leq(X0,X0)
| multiplication(star(one),X0) = X0 ),
inference(superposition,[],[f1444,f33]) ).
fof(f1453,plain,
! [X0] : multiplication(star(one),X0) = X0,
inference(forward_subsumption_resolution,[],[f1448,f186]) ).
fof(f1741,plain,
! [X0,X1] :
( ~ leq(addition(X1,X0),X0)
| leq(multiplication(star(one),X1),X0) ),
inference(superposition,[],[f315,f33]) ).
fof(f1747,plain,
! [X0,X1] :
( ~ leq(multiplication(addition(one,X0),X1),X1)
| leq(multiplication(star(X0),X1),X1) ),
inference(superposition,[],[f315,f267]) ).
fof(f1776,plain,
! [X0,X1] :
( ~ leq(addition(X1,X0),X0)
| leq(X1,X0) ),
inference(forward_demodulation,[],[f1741,f1453]) ).
fof(f1929,plain,
multiplication(sF5,sF4) = addition(sF4,sF6),
inference(superposition,[],[f282,f693]) ).
fof(f1973,plain,
sF6 = addition(sF4,sF6),
inference(forward_demodulation,[],[f1929,f56]) ).
fof(f2047,plain,
( ~ leq(sF6,sF6)
| leq(sF4,sF6) ),
inference(superposition,[],[f1776,f1973]) ).
fof(f2050,plain,
leq(sF4,sF6),
inference(forward_subsumption_resolution,[],[f2047,f186]) ).
fof(f2058,plain,
( $false
| spl7_2 ),
inference(forward_subsumption_resolution,[],[f2050,f65]) ).
fof(f2059,plain,
spl7_2,
inference(avatar_contradiction_clause,[],[f2058]) ).
fof(f7294,plain,
multiplication(sF2,sK1) = addition(sK1,sF3),
inference(superposition,[],[f280,f732]) ).
fof(f7359,plain,
sF3 = addition(sK1,sF3),
inference(forward_demodulation,[],[f7294,f50]) ).
fof(f7484,plain,
multiplication(addition(one,sK1),strong_iteration(sF3)) = addition(one,multiplication(sF3,strong_iteration(sF3))),
inference(superposition,[],[f909,f7359]) ).
fof(f7492,plain,
strong_iteration(sF3) = multiplication(addition(one,sK1),strong_iteration(sF3)),
inference(forward_demodulation,[],[f7484,f78]) ).
fof(f7500,plain,
sF4 = multiplication(addition(one,sK1),sF4),
inference(forward_demodulation,[],[f7492,f52]) ).
fof(f7502,plain,
( ~ leq(sF4,sF4)
| leq(multiplication(star(sK1),sF4),sF4) ),
inference(superposition,[],[f1747,f7500]) ).
fof(f7553,plain,
leq(multiplication(star(sK1),sF4),sF4),
inference(forward_subsumption_resolution,[],[f7502,f186]) ).
fof(f7574,plain,
leq(multiplication(sF5,sF4),sF4),
inference(forward_demodulation,[],[f7553,f54]) ).
fof(f7589,plain,
leq(sF6,sF4),
inference(forward_demodulation,[],[f7574,f56]) ).
fof(f7593,plain,
( $false
| spl7_1 ),
inference(forward_subsumption_resolution,[],[f7589,f61]) ).
fof(f7594,plain,
spl7_1,
inference(avatar_contradiction_clause,[],[f7593]) ).
cnf(s1,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(sat_conversion,[],[f66]) ).
cnf(s38,plain,
spl7_2,
inference(sat_conversion,[],[f2059]) ).
cnf(s70,plain,
spl7_1,
inference(sat_conversion,[],[f7594]) ).
cnf(s74,plain,
$false,
inference(rat,[],[s1,s38,s70]) ).
fof(f7601,plain,
$false,
inference(avatar_sat_refutation,[],[s74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE147+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:08:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 10.17/2.40 % (2542959)Detected formulas, will run a generic FOF schedule.
% 10.17/2.40 % (2542979)dis-21_1_sil=8000:lcm=predicate:random_seed=2541317745: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)
% 10.17/2.40 % (2542979)Refutation not found, incomplete strategy
% 10.17/2.40 % (2542979)------------------------------
% 10.17/2.40 % (2542979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.40 % (2542979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.40 % (2542979)CaDiCaL version: 2.1.3
% 10.17/2.40 % (2542979)Termination reason: Refutation not found, incomplete strategy
% 10.17/2.40 % (2542979)Time elapsed: 0.001 s
% 10.17/2.40 % (2542979)Peak memory usage: 88 MB
% 10.17/2.40 % (2542979)Instructions burned: 1 (million)
% 10.17/2.40 % (2542973)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=2154754885:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.17/2.40 % (2542974)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=3439194779:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.17/2.40 % (2542975)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=3709105043:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.17/2.40 % (2542977)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2433463873:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.17/2.40 % (2542978)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1851659226:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.17/2.40 % (2542976)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=740730518:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.17/2.40 % (2542976)Refutation not found, incomplete strategy
% 10.17/2.40 % (2542976)------------------------------
% 10.17/2.40 % (2542976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.40 % (2542976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.40 % (2542976)CaDiCaL version: 2.1.3
% 10.17/2.40 % (2542976)Termination reason: Refutation not found, incomplete strategy
% 10.17/2.40 % (2542976)Time elapsed: 0.001 s
% 10.17/2.40 % (2542976)Peak memory usage: 88 MB
% 10.17/2.40 % (2542977)Instruction limit reached!
% 10.17/2.40 % (2542977)------------------------------
% 10.17/2.40 % (2542977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.40 % (2542977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.40 % (2542977)CaDiCaL version: 2.1.3
% 10.17/2.40 % (2542977)Termination reason: Instruction limit
% 10.17/2.40 % (2542977)Termination phase: Saturation
% 10.17/2.40 % (2542977)Time elapsed: 0.074 s
% 10.17/2.40 % (2542977)Peak memory usage: 89 MB
% 10.17/2.40 % (2542977)Instructions burned: 121 (million)
% 10.17/2.40 % (2542978)Instruction limit reached!
% 10.17/2.40 % (2542978)------------------------------
% 10.17/2.40 % (2542978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.40 % (2542978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.40 % (2542978)CaDiCaL version: 2.1.3
% 10.17/2.40 % (2542978)Termination reason: Instruction limit
% 10.17/2.40 % (2542978)Termination phase: Saturation
% 10.17/2.40 % (2542978)Time elapsed: 0.087 s
% 10.17/2.40 % (2542978)Peak memory usage: 90 MB
% 10.17/2.40 % (2542978)Instructions burned: 141 (million)
% 10.17/2.40 % (2542979)------------------------------
% 10.17/2.40 % (2542979)------------------------------
% 10.17/2.40 % (2542987)lrs+10_1_sil=8000:sp=occurrence:random_seed=1599978213:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.17/2.40 % (2542989)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2924519538:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.17/2.40 % (2542988)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1238175948:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.17/2.40 % (2542976)------------------------------
% 10.17/2.40 % (2542976)------------------------------
% 10.17/2.40 % (2542988)Instruction limit reached!
% 10.17/2.40 % (2542988)------------------------------
% 10.17/2.40 % (2542988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.40 % (2542988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.40 % (2542988)CaDiCaL version: 2.1.3
% 10.17/2.40 % (2542988)Termination reason: Instruction limit
% 10.17/2.40 % (2542988)Termination phase: Saturation
% 10.17/2.40 % (2542988)Time elapsed: 0.102 s
% 10.17/2.40 % (2542988)Peak memory usage: 91 MB
% 10.17/2.40 % (2542988)Instructions burned: 157 (million)
% 10.17/2.40 % (2542989)Instruction limit reached!
% 10.17/2.40 % (2542989)------------------------------
% 10.17/2.40 % (2542989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.40 % (2542989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.40 % (2542989)CaDiCaL version: 2.1.3
% 10.17/2.40 % (2542989)Termination reason: Instruction limit
% 10.17/2.40 % (2542989)Termination phase: Saturation
% 10.17/2.40 % (2542989)Time elapsed: 0.113 s
% 10.17/2.40 % (2542989)Peak memory usage: 93 MB
% 10.17/2.40 % (2542989)Instructions burned: 326 (million)
% 10.17/2.40 % (2542987)Instruction limit reached!
% 10.17/2.40 % (2542987)------------------------------
% 10.17/2.40 % (2542987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.40 % (2542987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.40 % (2542987)CaDiCaL version: 2.1.3
% 10.17/2.40 % (2542987)Termination reason: Instruction limit
% 10.17/2.40 % (2542987)Termination phase: Saturation
% 10.17/2.40 % (2542987)Time elapsed: 0.187 s
% 10.17/2.40 % (2542987)Peak memory usage: 91 MB
% 10.17/2.40 % (2542987)Instructions burned: 286 (million)
% 10.17/2.40 % (2542993)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=3530550467:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.17/2.40 % (2542995)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=784454305:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 10.17/2.40 % (2542994)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1029240339:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 10.17/2.40 % (2542994)Refutation not found, incomplete strategy
% 10.17/2.40 % (2542994)------------------------------
% 10.17/2.40 % (2542994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.40 % (2542994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.40 % (2542994)CaDiCaL version: 2.1.3
% 10.17/2.40 % (2542994)Termination reason: Refutation not found, incomplete strategy
% 10.17/2.40 % (2542994)Time elapsed: 0.002 s
% 10.17/2.40 % (2542994)Peak memory usage: 88 MB
% 10.17/2.40 % (2542994)Instructions burned: 1 (million)
% 10.17/2.40 % (2542993)Instruction limit reached!
% 10.17/2.40 % (2542993)------------------------------
% 10.17/2.40 % (2542993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.40 % (2542993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.40 % (2542993)CaDiCaL version: 2.1.3
% 10.17/2.40 % (2542993)Termination reason: Instruction limit
% 10.17/2.40 % (2542993)Termination phase: Saturation
% 10.17/2.40 % (2542993)Time elapsed: 0.165 s
% 10.17/2.40 % (2542993)Peak memory usage: 92 MB
% 10.17/2.40 % (2542993)Instructions burned: 249 (million)
% 10.17/2.40 % (2542997)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1749165493:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.17/2.40 % (2542997)Refutation not found, incomplete strategy
% 10.17/2.40 % (2542997)------------------------------
% 10.17/2.40 % (2542997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.40 % (2542997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.40 % (2542997)CaDiCaL version: 2.1.3
% 10.17/2.40 % (2542997)Termination reason: Refutation not found, incomplete strategy
% 10.17/2.40 % (2542997)Time elapsed: 0.002 s
% 10.17/2.40 % (2542997)Peak memory usage: 88 MB
% 10.17/2.40 % (2542997)Instructions burned: 1 (million)
% 10.17/2.40 % (2542975)Refutation not found, incomplete strategy
% 10.17/2.40 % (2542975)------------------------------
% 10.17/2.40 % (2542975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.40 % (2542975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.40 % (2542975)CaDiCaL version: 2.1.3
% 10.17/2.40 % (2542975)Termination reason: Refutation not found, incomplete strategy
% 10.17/2.40 % (2542975)Time elapsed: 0.613 s
% 10.17/2.40 % (2542975)Peak memory usage: 126 MB
% 10.17/2.40 % (2542975)Instructions burned: 900 (million)
% 10.17/2.40 % (2543001)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=735169954:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 10.17/2.40 % (2543001)Refutation not found, incomplete strategy
% 10.17/2.40 % (2543001)------------------------------
% 10.17/2.40 % (2543001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.40 % (2543001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.40 % (2543001)CaDiCaL version: 2.1.3
% 10.17/2.40 % (2543001)Termination reason: Refutation not found, incomplete strategy
% 10.17/2.40 % (2543001)Time elapsed: 0.001 s
% 10.17/2.40 % (2543001)Peak memory usage: 87 MB
% 10.17/2.40 % (2542994)------------------------------
% 10.17/2.40 % (2542994)------------------------------
% 10.17/2.40 % (2542997)------------------------------
% 10.17/2.40 % (2542997)------------------------------
% 10.17/2.40 % (2542975)------------------------------
% 10.17/2.40 % (2542975)------------------------------
% 10.17/2.40 % (2543003)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2906704227:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 10.17/2.40 % (2543003)Refutation not found, incomplete strategy
% 10.17/2.40 % (2543003)------------------------------
% 10.17/2.40 % (2543003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.40 % (2543003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.40 % (2543003)CaDiCaL version: 2.1.3
% 10.17/2.40 % (2543003)Termination reason: Refutation not found, incomplete strategy
% 10.17/2.40 % (2543003)Time elapsed: 0.002 s
% 10.17/2.40 % (2543003)Peak memory usage: 88 MB
% 10.17/2.40 % (2543003)Instructions burned: 1 (million)
% 10.17/2.40 % (2543001)------------------------------
% 10.17/2.40 % (2543001)------------------------------
% 10.17/2.40 % (2543004)lrs+10_1_sil=8000:sp=occurrence:random_seed=2847001749:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 10.17/2.40 % (2543005)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1284502187:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 10.17/2.40 % (2543005)Refutation not found, incomplete strategy
% 10.17/2.40 % (2543005)------------------------------
% 10.17/2.40 % (2543005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.40 % (2543005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.40 % (2543005)CaDiCaL version: 2.1.3
% 10.17/2.40 % (2543005)Termination reason: Refutation not found, incomplete strategy
% 10.17/2.40 % (2543005)Time elapsed: 0.002 s
% 10.17/2.40 % (2543005)Peak memory usage: 88 MB
% 10.17/2.40 % (2543003)------------------------------
% 10.17/2.40 % (2543003)------------------------------
% 10.17/2.40 % (2543008)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=195530100:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 10.17/2.40 % (2542995)First to succeed.
% 10.17/2.40 % (2542995)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2542959"
% 10.17/2.40 % (2543005)------------------------------
% 10.17/2.40 % (2543005)------------------------------
% 10.17/2.40 % (2543011)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3563016961:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 10.17/2.40 % (2543011)Refutation not found, incomplete strategy
% 10.17/2.40 % (2543011)------------------------------
% 10.17/2.40 % (2543011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.40 % (2543011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.40 % (2543011)CaDiCaL version: 2.1.3
% 10.17/2.40 % (2543011)Termination reason: Refutation not found, incomplete strategy
% 10.17/2.40 % (2543011)Time elapsed: 0.002 s
% 10.17/2.40 % (2543011)Peak memory usage: 88 MB
% 10.17/2.40 % (2543011)Instructions burned: 1 (million)
% 10.17/2.40 % (2542995)Refutation found. Thanks to Tanya!
% 10.17/2.40 % SZS status Theorem for theBenchmark
% 10.17/2.40 % SZS output start Proof for theBenchmark
% See solution above
% 11.39/2.59 % (2542995)------------------------------
% 11.39/2.59 % (2542995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.39/2.59 % (2542995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/2.59 % (2542995)CaDiCaL version: 2.1.3
% 11.39/2.59 % (2542995)Termination reason: Refutation
% 11.39/2.59 % (2542995)Time elapsed: 0.743 s
% 11.39/2.59 % (2542995)Peak memory usage: 143 MB
% 11.39/2.59 % (2542995)Instructions burned: 2173 (million)
% 11.39/2.59 % (2542995)------------------------------
% 11.39/2.59 % (2542995)------------------------------
% 11.39/2.59 % (2542959)Success in time 1.541 s
% 11.39/2.59 % Vampire exiting
%------------------------------------------------------------------------------