%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE145+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 : n003.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 13.15s 2.96s
% Output : Refutation 15.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 17
% Syntax : Number of formulae : 97 ( 62 unt; 2 def)
% Number of atoms : 134 ( 65 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 33 ~; 29 |; 3 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 135 ( 0 sgn 134 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
fof(f11,axiom,
! [X0] : addition(one,multiplication(X0,star(X0))) = star(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold1) ).
fof(f12,axiom,
! [X0] : addition(one,multiplication(star(X0),X0)) = star(X0),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',star_induction1) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infty_unfold1) ).
fof(f16,axiom,
! [X0,X1,X2] :
( leq(X2,addition(multiplication(X0,X2),X1))
=> leq(X2,multiplication(strong_iteration(X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infty_coinduction) ).
fof(f18,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f19,conjecture,
! [X0] :
( leq(star(strong_iteration(X0)),strong_iteration(X0))
& leq(strong_iteration(X0),star(strong_iteration(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( leq(star(strong_iteration(X0)),strong_iteration(X0))
& leq(strong_iteration(X0),star(strong_iteration(X0))) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
? [X0] :
( ~ leq(star(strong_iteration(X0)),strong_iteration(X0))
| ~ leq(strong_iteration(X0),star(strong_iteration(X0))) ),
inference(ennf_transformation,[],[f20]) ).
fof(f22,plain,
! [X0,X1,X2] :
( leq(X2,multiplication(strong_iteration(X0),X1))
| ~ leq(X2,addition(multiplication(X0,X2),X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f24,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X1),X2)
| ~ leq(addition(multiplication(X0,X2),X1),X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f25,plain,
( ~ leq(star(strong_iteration(sK0)),strong_iteration(sK0))
| ~ leq(strong_iteration(sK0),star(strong_iteration(sK0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f21]) ).
fof(f26,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f27,plain,
( ~ leq(star(strong_iteration(sK0)),strong_iteration(sK0))
| ~ leq(strong_iteration(sK0),star(strong_iteration(sK0))) ),
inference(cnf_transformation,[],[f25]) ).
fof(f28,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f29,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ leq(X2,addition(multiplication(X0,X2),X1))
| leq(X2,multiplication(strong_iteration(X0),X1)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X2),X1),X2)
| leq(multiplication(star(X0),X1),X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f34,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f35,plain,
! [X0] : star(X0) = addition(one,multiplication(X0,star(X0))),
inference(cnf_transformation,[],[f11]) ).
fof(f36,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f37,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f38,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f39,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f40,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f41,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f42,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f45,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f46,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f47,plain,
! [X0] : strong_iteration(X0) = addition(one,multiplication(X0,strong_iteration(X0))),
inference(forward_demodulation,[],[f36,f39]) ).
fof(f49,definition,
( spl1_1
<=> leq(strong_iteration(sK0),star(strong_iteration(sK0))) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f50,plain,
( ~ leq(strong_iteration(sK0),star(strong_iteration(sK0)))
| spl1_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f52,definition,
( spl1_2
<=> leq(star(strong_iteration(sK0)),strong_iteration(sK0)) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f53,plain,
( ~ leq(star(strong_iteration(sK0)),strong_iteration(sK0))
| spl1_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f54,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f27,f52,f49]) ).
fof(f63,plain,
! [X0,X1] : addition(one,addition(multiplication(star(X0),X0),X1)) = addition(star(X0),X1),
inference(superposition,[],[f38,f34]) ).
fof(f64,plain,
! [X0,X1] : addition(star(X0),X1) = addition(one,addition(multiplication(X0,star(X0)),X1)),
inference(superposition,[],[f38,f35]) ).
fof(f72,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f39,f38]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ leq(X2,addition(X0,multiplication(X1,X2)))
| leq(X2,multiplication(strong_iteration(X1),X0)) ),
inference(superposition,[],[f30,f39]) ).
fof(f110,plain,
! [X0,X1] : star(multiplication(X0,X1)) = addition(one,multiplication(X0,multiplication(X1,star(multiplication(X0,X1))))),
inference(superposition,[],[f35,f42]) ).
fof(f131,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f38,f37]) ).
fof(f132,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f29,f37]) ).
fof(f138,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f132]) ).
fof(f153,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f131,f35]) ).
fof(f194,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f41,f46]) ).
fof(f204,plain,
! [X0,X1] : addition(star(X0),multiplication(star(X0),X1)) = addition(one,multiplication(star(X0),addition(X0,X1))),
inference(superposition,[],[f63,f41]) ).
fof(f226,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f40,f45]) ).
fof(f238,plain,
! [X0,X1] : addition(star(X0),multiplication(X1,star(X0))) = addition(one,multiplication(addition(X0,X1),star(X0))),
inference(superposition,[],[f64,f40]) ).
fof(f253,plain,
! [X2,X0,X1] : multiplication(addition(one,multiplication(X0,X1)),X2) = addition(X2,multiplication(X0,multiplication(X1,X2))),
inference(superposition,[],[f226,f42]) ).
fof(f558,plain,
! [X0] : addition(one,multiplication(X0,star(X0))) = addition(star(X0),multiplication(X0,star(X0))),
inference(superposition,[],[f238,f37]) ).
fof(f615,plain,
! [X0] : addition(one,multiplication(X0,star(X0))) = multiplication(addition(one,X0),star(X0)),
inference(forward_demodulation,[],[f558,f226]) ).
fof(f637,plain,
! [X0] : star(X0) = multiplication(addition(one,X0),star(X0)),
inference(forward_demodulation,[],[f615,f35]) ).
fof(f662,plain,
! [X0] : star(multiplication(X0,strong_iteration(X0))) = multiplication(strong_iteration(X0),star(multiplication(X0,strong_iteration(X0)))),
inference(superposition,[],[f637,f47]) ).
fof(f679,plain,
! [X0] : multiplication(addition(one,X0),addition(one,star(X0))) = addition(addition(one,X0),star(X0)),
inference(superposition,[],[f194,f637]) ).
fof(f682,plain,
! [X0] : multiplication(addition(one,X0),addition(one,star(X0))) = addition(star(X0),addition(one,X0)),
inference(forward_demodulation,[],[f679,f39]) ).
fof(f694,plain,
! [X0] : multiplication(addition(one,X0),addition(one,star(X0))) = addition(X0,addition(star(X0),one)),
inference(forward_demodulation,[],[f682,f72]) ).
fof(f703,plain,
! [X0] : multiplication(addition(one,X0),addition(one,star(X0))) = addition(X0,addition(one,star(X0))),
inference(forward_demodulation,[],[f694,f39]) ).
fof(f706,plain,
! [X0] : multiplication(addition(one,X0),star(X0)) = addition(X0,star(X0)),
inference(forward_demodulation,[],[f703,f153]) ).
fof(f707,plain,
! [X0] : star(X0) = addition(X0,star(X0)),
inference(forward_demodulation,[],[f706,f637]) ).
fof(f708,plain,
( $false
| spl1_1 ),
inference(unit_resulting_resolution,[],[f29,f50,f707]) ).
fof(f725,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f708]) ).
fof(f1488,plain,
! [X0,X1] :
( leq(multiplication(star(X0),multiplication(X0,X1)),X1)
| ~ leq(multiplication(X0,X1),X1) ),
inference(superposition,[],[f32,f37]) ).
fof(f1883,plain,
! [X0,X1] :
( ~ leq(multiplication(X1,star(multiplication(X0,X1))),star(multiplication(X0,X1)))
| leq(multiplication(X1,star(multiplication(X0,X1))),multiplication(strong_iteration(X0),one)) ),
inference(superposition,[],[f86,f110]) ).
fof(f1903,plain,
! [X0,X1] :
( ~ leq(multiplication(X1,star(multiplication(X0,X1))),star(multiplication(X0,X1)))
| leq(multiplication(X1,star(multiplication(X0,X1))),strong_iteration(X0)) ),
inference(forward_demodulation,[],[f1883,f46]) ).
fof(f2320,plain,
! [X0] :
( ~ leq(star(multiplication(X0,strong_iteration(X0))),star(multiplication(X0,strong_iteration(X0))))
| leq(star(multiplication(X0,strong_iteration(X0))),strong_iteration(X0)) ),
inference(superposition,[],[f1903,f662]) ).
fof(f2341,plain,
! [X0] : leq(star(multiplication(X0,strong_iteration(X0))),strong_iteration(X0)),
inference(forward_subsumption_resolution,[],[f2320,f138]) ).
fof(f2356,plain,
! [X0] : strong_iteration(X0) = addition(star(multiplication(X0,strong_iteration(X0))),strong_iteration(X0)),
inference(resolution,[],[f2341,f28]) ).
fof(f2360,plain,
! [X0] : strong_iteration(X0) = addition(strong_iteration(X0),star(multiplication(X0,strong_iteration(X0)))),
inference(forward_demodulation,[],[f2356,f39]) ).
fof(f2909,plain,
! [X0] : addition(star(strong_iteration(X0)),multiplication(star(strong_iteration(X0)),star(multiplication(X0,strong_iteration(X0))))) = addition(one,multiplication(star(strong_iteration(X0)),strong_iteration(X0))),
inference(superposition,[],[f204,f2360]) ).
fof(f2962,plain,
! [X0] : star(strong_iteration(X0)) = addition(star(strong_iteration(X0)),multiplication(star(strong_iteration(X0)),star(multiplication(X0,strong_iteration(X0))))),
inference(forward_demodulation,[],[f2909,f34]) ).
fof(f3018,plain,
! [X0] : star(strong_iteration(X0)) = multiplication(star(strong_iteration(X0)),addition(one,star(multiplication(X0,strong_iteration(X0))))),
inference(forward_demodulation,[],[f2962,f194]) ).
fof(f3047,plain,
! [X0] : star(strong_iteration(X0)) = multiplication(star(strong_iteration(X0)),star(multiplication(X0,strong_iteration(X0)))),
inference(forward_demodulation,[],[f3018,f153]) ).
fof(f3221,plain,
! [X0,X1] :
( ~ leq(multiplication(X0,X1),X1)
| addition(multiplication(star(X0),multiplication(X0,X1)),X1) = X1 ),
inference(resolution,[],[f1488,f28]) ).
fof(f3252,plain,
! [X0,X1] :
( addition(X1,multiplication(star(X0),multiplication(X0,X1))) = X1
| ~ leq(multiplication(X0,X1),X1) ),
inference(forward_demodulation,[],[f3221,f39]) ).
fof(f3255,plain,
! [X0,X1] :
( multiplication(addition(one,multiplication(star(X0),X0)),X1) = X1
| ~ leq(multiplication(X0,X1),X1) ),
inference(forward_demodulation,[],[f3252,f253]) ).
fof(f3257,plain,
! [X0,X1] :
( ~ leq(multiplication(X0,X1),X1)
| multiplication(star(X0),X1) = X1 ),
inference(forward_demodulation,[],[f3255,f34]) ).
fof(f3274,plain,
! [X0] :
( ~ leq(star(multiplication(X0,strong_iteration(X0))),star(multiplication(X0,strong_iteration(X0))))
| star(multiplication(X0,strong_iteration(X0))) = multiplication(star(strong_iteration(X0)),star(multiplication(X0,strong_iteration(X0)))) ),
inference(superposition,[],[f3257,f662]) ).
fof(f3277,plain,
! [X0] : star(multiplication(X0,strong_iteration(X0))) = multiplication(star(strong_iteration(X0)),star(multiplication(X0,strong_iteration(X0)))),
inference(forward_subsumption_resolution,[],[f3274,f138]) ).
fof(f3289,plain,
! [X0] : star(strong_iteration(X0)) = star(multiplication(X0,strong_iteration(X0))),
inference(forward_demodulation,[],[f3277,f3047]) ).
fof(f3403,plain,
! [X0] : strong_iteration(X0) = addition(strong_iteration(X0),star(strong_iteration(X0))),
inference(superposition,[],[f2360,f3289]) ).
fof(f3457,plain,
! [X0] : strong_iteration(X0) = star(strong_iteration(X0)),
inference(forward_demodulation,[],[f3403,f707]) ).
fof(f3477,plain,
( ~ leq(strong_iteration(sK0),strong_iteration(sK0))
| spl1_2 ),
inference(superposition,[],[f53,f3457]) ).
fof(f3522,plain,
( $false
| spl1_2 ),
inference(forward_subsumption_resolution,[],[f3477,f138]) ).
fof(f3523,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f3522]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f54]) ).
cnf(s2,plain,
spl1_1,
inference(sat_conversion,[],[f725]) ).
cnf(s5,plain,
spl1_2,
inference(sat_conversion,[],[f3523]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s5,s2]) ).
fof(f3529,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE145+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n003.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 13:14:10 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 13.15/2.96 % (523025)Detected formulas, will run a generic FOF schedule.
% 13.15/2.96 % (523137)dis-21_1_sil=8000:lcm=predicate:random_seed=4011168920: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)
% 13.15/2.96 % (523137)Refutation not found, incomplete strategy
% 13.15/2.96 % (523137)------------------------------
% 13.15/2.96 % (523137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.96 % (523137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.96 % (523137)CaDiCaL version: 2.1.3
% 13.15/2.96 % (523137)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.96 % (523137)Time elapsed: 0.001 s
% 13.15/2.96 % (523137)Peak memory usage: 88 MB
% 13.15/2.96 % (523137)Instructions burned: 1 (million)
% 13.15/2.96 % (523133)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=1323260786:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.15/2.96 % (523131)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=2239992656:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.15/2.96 % (523132)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=2597448215:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.15/2.96 % (523135)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1868792263:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.15/2.96 % (523136)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2345567496:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.15/2.96 % (523134)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2877292129:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.15/2.96 % (523134)Refutation not found, incomplete strategy
% 13.15/2.96 % (523134)------------------------------
% 13.15/2.96 % (523134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.96 % (523134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.96 % (523134)CaDiCaL version: 2.1.3
% 13.15/2.96 % (523134)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.96 % (523134)Time elapsed: 0.001 s
% 13.15/2.96 % (523134)Peak memory usage: 88 MB
% 13.15/2.96 % (523135)Instruction limit reached!
% 13.15/2.96 % (523135)------------------------------
% 13.15/2.96 % (523135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.96 % (523135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.96 % (523135)CaDiCaL version: 2.1.3
% 13.15/2.96 % (523135)Termination reason: Instruction limit
% 13.15/2.96 % (523135)Termination phase: Saturation
% 13.15/2.96 % (523135)Time elapsed: 0.080 s
% 13.15/2.96 % (523135)Peak memory usage: 88 MB
% 13.15/2.96 % (523135)Instructions burned: 119 (million)
% 13.15/2.96 % (523136)Instruction limit reached!
% 13.15/2.96 % (523136)------------------------------
% 13.15/2.96 % (523136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.96 % (523136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.96 % (523136)CaDiCaL version: 2.1.3
% 13.15/2.96 % (523136)Termination reason: Instruction limit
% 13.15/2.96 % (523136)Termination phase: Saturation
% 13.15/2.96 % (523136)Time elapsed: 0.097 s
% 13.15/2.96 % (523136)Peak memory usage: 90 MB
% 13.15/2.96 % (523136)Instructions burned: 139 (million)
% 13.15/2.96 % (523137)------------------------------
% 13.15/2.96 % (523137)------------------------------
% 13.15/2.96 % (523166)lrs+10_1_sil=8000:sp=occurrence:random_seed=3575453542:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.15/2.96 % (523174)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3017630874:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 13.15/2.96 % (523173)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1324380360:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.15/2.96 % (523173)Refutation not found, incomplete strategy
% 13.15/2.96 % (523173)------------------------------
% 13.15/2.96 % (523173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.96 % (523173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.96 % (523173)CaDiCaL version: 2.1.3
% 13.15/2.96 % (523173)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.96 % (523173)Time elapsed: 0.004 s
% 13.15/2.96 % (523173)Peak memory usage: 89 MB
% 13.15/2.96 % (523173)Instructions burned: 2 (million)
% 13.15/2.96 % (523134)------------------------------
% 13.15/2.96 % (523134)------------------------------
% 13.15/2.96 % (523174)Instruction limit reached!
% 13.15/2.96 % (523174)------------------------------
% 13.15/2.96 % (523174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.96 % (523174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.96 % (523174)CaDiCaL version: 2.1.3
% 13.15/2.96 % (523174)Termination reason: Instruction limit
% 13.15/2.96 % (523174)Termination phase: Saturation
% 13.15/2.96 % (523174)Time elapsed: 0.148 s
% 13.15/2.96 % (523174)Peak memory usage: 91 MB
% 13.15/2.96 % (523174)Instructions burned: 327 (million)
% 13.15/2.96 % (523166)Instruction limit reached!
% 13.15/2.96 % (523166)------------------------------
% 13.15/2.96 % (523166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.96 % (523166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.96 % (523166)CaDiCaL version: 2.1.3
% 13.15/2.96 % (523166)Termination reason: Instruction limit
% 13.15/2.96 % (523166)Termination phase: Saturation
% 13.15/2.96 % (523166)Time elapsed: 0.203 s
% 13.15/2.96 % (523166)Peak memory usage: 91 MB
% 13.15/2.96 % (523166)Instructions burned: 285 (million)
% 13.15/2.96 % (523190)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=2806811520:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 13.15/2.96 % (523191)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1142080990:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 13.15/2.96 % (523191)Refutation not found, incomplete strategy
% 13.15/2.96 % (523191)------------------------------
% 13.15/2.96 % (523191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.96 % (523191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.96 % (523191)CaDiCaL version: 2.1.3
% 13.15/2.96 % (523191)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.96 % (523191)Time elapsed: 0.001 s
% 13.15/2.96 % (523191)Peak memory usage: 88 MB
% 13.15/2.96 % (523191)Instructions burned: 1 (million)
% 13.15/2.96 % (523194)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=245258734:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 13.15/2.96 % (523173)------------------------------
% 13.15/2.96 % (523173)------------------------------
% 13.15/2.96 % (523133)Refutation not found, incomplete strategy
% 13.15/2.96 % (523133)------------------------------
% 13.15/2.96 % (523133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.96 % (523133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.96 % (523133)CaDiCaL version: 2.1.3
% 13.15/2.96 % (523133)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.96 % (523133)Time elapsed: 0.903 s
% 13.15/2.96 % (523133)Peak memory usage: 127 MB
% 13.15/2.96 % (523133)Instructions burned: 890 (million)
% 13.15/2.96 % (523190)Instruction limit reached!
% 13.15/2.96 % (523190)------------------------------
% 13.15/2.96 % (523190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.96 % (523190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.96 % (523190)CaDiCaL version: 2.1.3
% 13.15/2.96 % (523190)Termination reason: Instruction limit
% 13.15/2.96 % (523190)Termination phase: Saturation
% 13.15/2.96 % (523190)Time elapsed: 0.256 s
% 13.15/2.96 % (523190)Peak memory usage: 92 MB
% 13.15/2.96 % (523190)Instructions burned: 248 (million)
% 13.15/2.96 % (523191)------------------------------
% 13.15/2.96 % (523191)------------------------------
% 13.15/2.96 % (523200)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3687749089:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 13.15/2.96 % (523200)Refutation not found, incomplete strategy
% 13.15/2.96 % (523200)------------------------------
% 13.15/2.96 % (523200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.96 % (523200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.96 % (523200)CaDiCaL version: 2.1.3
% 13.15/2.96 % (523200)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.96 % (523200)Time elapsed: 0.003 s
% 13.15/2.96 % (523200)Peak memory usage: 88 MB
% 13.15/2.96 % (523200)Instructions burned: 1 (million)
% 13.15/2.96 % (523206)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=280958983:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 13.15/2.96 % (523206)Refutation not found, incomplete strategy
% 13.15/2.96 % (523206)------------------------------
% 13.15/2.96 % (523206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.96 % (523206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.96 % (523206)CaDiCaL version: 2.1.3
% 13.15/2.96 % (523206)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.96 % (523206)Time elapsed: 0.001 s
% 13.15/2.96 % (523206)Peak memory usage: 89 MB
% 13.15/2.96 % (523205)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3283959295:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 13.15/2.96 % (523205)Refutation not found, incomplete strategy
% 13.15/2.96 % (523205)------------------------------
% 13.15/2.96 % (523205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.96 % (523205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.96 % (523205)CaDiCaL version: 2.1.3
% 13.15/2.96 % (523205)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.96 % (523205)Time elapsed: 0.002 s
% 13.15/2.96 % (523205)Peak memory usage: 88 MB
% 13.15/2.96 % (523133)------------------------------
% 13.15/2.96 % (523133)------------------------------
% 13.15/2.96 % (523206)------------------------------
% 13.15/2.96 % (523206)------------------------------
% 13.15/2.96 % (523200)------------------------------
% 13.15/2.96 % (523200)------------------------------
% 13.15/2.96 % (523132)First to succeed.
% 13.15/2.96 % (523132)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-523025"
% 13.15/2.96 % (523212)lrs+10_1_sil=8000:sp=occurrence:random_seed=2919390834:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 13.15/2.96 % (523205)------------------------------
% 13.15/2.96 % (523205)------------------------------
% 13.15/2.96 % (523215)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1850601900:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 13.15/2.96 % (523215)Refutation not found, incomplete strategy
% 13.15/2.96 % (523215)------------------------------
% 13.15/2.96 % (523215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.96 % (523215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.96 % (523215)CaDiCaL version: 2.1.3
% 13.15/2.96 % (523215)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.96 % (523215)Time elapsed: 0.002 s
% 13.15/2.96 % (523215)Peak memory usage: 88 MB
% 13.15/2.96 % (523216)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3632900508:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 13.15/2.96 % (523220)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=582411179:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 13.15/2.96 % (523220)Refutation not found, incomplete strategy
% 13.15/2.96 % (523220)------------------------------
% 13.15/2.96 % (523220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/2.96 % (523220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/2.96 % (523220)CaDiCaL version: 2.1.3
% 13.15/2.96 % (523220)Termination reason: Refutation not found, incomplete strategy
% 13.15/2.96 % (523220)Time elapsed: 0.003 s
% 13.15/2.96 % (523220)Peak memory usage: 89 MB
% 13.15/2.96 % (523220)Instructions burned: 1 (million)
% 13.15/2.96 % (523132)Refutation found. Thanks to Tanya!
% 13.15/2.96 % SZS status Theorem for theBenchmark
% 13.15/2.96 % SZS output start Proof for theBenchmark
% See solution above
% 15.38/3.20 % (523132)------------------------------
% 15.38/3.20 % (523132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.38/3.20 % (523132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.38/3.20 % (523132)CaDiCaL version: 2.1.3
% 15.38/3.20 % (523132)Termination reason: Refutation
% 15.38/3.20 % (523132)Time elapsed: 1.506 s
% 15.38/3.20 % (523132)Peak memory usage: 134 MB
% 15.38/3.20 % (523132)Instructions burned: 1471 (million)
% 15.38/3.20 % (523132)------------------------------
% 15.38/3.20 % (523132)------------------------------
% 15.38/3.20 % (523025)Success in time 2.094 s
% 15.38/3.20 % Vampire exiting
%------------------------------------------------------------------------------