%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE042+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 11:40:44 AM UTC 2026
% Result : Theorem 20.25s 3.36s
% Output : Refutation 20.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 78 ( 36 unt; 2 def)
% Number of atoms : 120 ( 43 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 80 ( 38 ~; 35 |; 2 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 90 ( 0 sgn 88 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_associativity) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_unfold_left) ).
fof(f15,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X1)
=> leq(multiplication(star(X0),X2),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_induction_left) ).
fof(f16,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X0)
=> leq(multiplication(X2,star(X1)),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_induction_right) ).
fof(f17,conjecture,
! [X0,X1] :
( leq(multiplication(star(multiplication(X0,X1)),X0),multiplication(X0,star(multiplication(X1,X0))))
& leq(multiplication(X0,star(multiplication(X1,X0))),multiplication(star(multiplication(X0,X1)),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( leq(multiplication(star(multiplication(X0,X1)),X0),multiplication(X0,star(multiplication(X1,X0))))
& leq(multiplication(X0,star(multiplication(X1,X0))),multiplication(star(multiplication(X0,X1)),X0)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f20,plain,
! [X0,X1,X2] :
( leq(multiplication(X2,star(X1)),X0)
| ~ leq(addition(multiplication(X0,X1),X2),X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f21,plain,
? [X0,X1] :
( ~ leq(multiplication(star(multiplication(X0,X1)),X0),multiplication(X0,star(multiplication(X1,X0))))
| ~ leq(multiplication(X0,star(multiplication(X1,X0))),multiplication(star(multiplication(X0,X1)),X0)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f23,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f27,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f28,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f29,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f30,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f33,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f34,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f35,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f36,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f37,plain,
! [X2,X0,X1] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f38,plain,
! [X2,X0,X1] :
( leq(multiplication(X2,star(X1)),X0)
| ~ leq(addition(multiplication(X0,X1),X2),X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f39,plain,
( ~ leq(multiplication(sK0,star(multiplication(sK1,sK0))),multiplication(star(multiplication(sK0,sK1)),sK0))
| ~ leq(multiplication(star(multiplication(sK0,sK1)),sK0),multiplication(sK0,star(multiplication(sK1,sK0)))) ),
inference(cnf_transformation,[],[f21]) ).
fof(f41,definition,
( spl2_1
<=> leq(multiplication(star(multiplication(sK0,sK1)),sK0),multiplication(sK0,star(multiplication(sK1,sK0)))) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f43,plain,
( ~ leq(multiplication(star(multiplication(sK0,sK1)),sK0),multiplication(sK0,star(multiplication(sK1,sK0))))
| spl2_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f45,definition,
( spl2_2
<=> leq(multiplication(sK0,star(multiplication(sK1,sK0))),multiplication(star(multiplication(sK0,sK1)),sK0)) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f47,plain,
( ~ leq(multiplication(sK0,star(multiplication(sK1,sK0))),multiplication(star(multiplication(sK0,sK1)),sK0))
| spl2_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f39,f45,f41]) ).
fof(f65,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f35,f34]) ).
fof(f70,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(resolution,[],[f36,f34]) ).
fof(f83,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X2,X0)),
inference(superposition,[],[f23,f22]) ).
fof(f87,plain,
! [X2,X0,X1] :
( leq(addition(X0,X1),X2)
| addition(X0,addition(X1,X2)) != X2 ),
inference(superposition,[],[f33,f23]) ).
fof(f108,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f29,f27]) ).
fof(f142,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f30,f28]) ).
fof(f155,plain,
! [X2,X0,X1] :
( leq(multiplication(X0,X2),multiplication(X1,X2))
| multiplication(X1,X2) != multiplication(addition(X0,X1),X2) ),
inference(superposition,[],[f33,f30]) ).
fof(f168,plain,
( ~ leq(addition(multiplication(multiplication(sK0,sK1),multiplication(sK0,star(multiplication(sK1,sK0)))),sK0),multiplication(sK0,star(multiplication(sK1,sK0))))
| spl2_1 ),
inference(resolution,[],[f37,f43]) ).
fof(f173,plain,
( ~ leq(addition(sK0,multiplication(multiplication(sK0,sK1),multiplication(sK0,star(multiplication(sK1,sK0))))),multiplication(sK0,star(multiplication(sK1,sK0))))
| spl2_1 ),
inference(forward_demodulation,[],[f168,f22]) ).
fof(f174,plain,
( ~ leq(addition(sK0,multiplication(sK0,multiplication(sK1,multiplication(sK0,star(multiplication(sK1,sK0)))))),multiplication(sK0,star(multiplication(sK1,sK0))))
| spl2_1 ),
inference(forward_demodulation,[],[f173,f26]) ).
fof(f628,plain,
! [X2,X0,X1] : multiplication(addition(one,multiplication(X0,X1)),X2) = addition(X2,multiplication(X0,multiplication(X1,X2))),
inference(superposition,[],[f142,f26]) ).
fof(f770,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(X0,star(X0)),star(X0))),
inference(superposition,[],[f23,f65]) ).
fof(f789,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f770,f22]) ).
fof(f793,plain,
! [X0] : star(X0) = addition(one,multiplication(addition(one,X0),star(X0))),
inference(forward_demodulation,[],[f789,f142]) ).
fof(f803,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(star(X0),X0),star(X0))),
inference(superposition,[],[f23,f70]) ).
fof(f822,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(star(X0),X0))),
inference(forward_demodulation,[],[f803,f22]) ).
fof(f826,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),addition(one,X0))),
inference(forward_demodulation,[],[f822,f108]) ).
fof(f828,plain,
( multiplication(sK0,star(multiplication(sK1,sK0))) != addition(sK0,addition(multiplication(sK0,multiplication(sK1,multiplication(sK0,star(multiplication(sK1,sK0))))),multiplication(sK0,star(multiplication(sK1,sK0)))))
| spl2_1 ),
inference(resolution,[],[f87,f174]) ).
fof(f863,plain,
( multiplication(sK0,star(multiplication(sK1,sK0))) != addition(sK0,addition(multiplication(sK0,star(multiplication(sK1,sK0))),multiplication(sK0,multiplication(sK1,multiplication(sK0,star(multiplication(sK1,sK0)))))))
| spl2_1 ),
inference(forward_demodulation,[],[f828,f22]) ).
fof(f866,plain,
( multiplication(sK0,star(multiplication(sK1,sK0))) != addition(sK0,multiplication(sK0,addition(star(multiplication(sK1,sK0)),multiplication(sK1,multiplication(sK0,star(multiplication(sK1,sK0)))))))
| spl2_1 ),
inference(forward_demodulation,[],[f863,f29]) ).
fof(f867,plain,
( multiplication(sK0,star(multiplication(sK1,sK0))) != multiplication(sK0,addition(one,addition(star(multiplication(sK1,sK0)),multiplication(sK1,multiplication(sK0,star(multiplication(sK1,sK0)))))))
| spl2_1 ),
inference(superposition,[],[f866,f108]) ).
fof(f38406,plain,
( multiplication(sK0,star(multiplication(sK1,sK0))) != multiplication(sK0,addition(one,multiplication(addition(one,multiplication(sK1,sK0)),star(multiplication(sK1,sK0)))))
| spl2_1 ),
inference(superposition,[],[f867,f628]) ).
fof(f38419,plain,
( multiplication(sK0,star(multiplication(sK1,sK0))) != multiplication(sK0,star(multiplication(sK1,sK0)))
| spl2_1 ),
inference(forward_demodulation,[],[f38406,f793]) ).
fof(f38420,plain,
( $false
| spl2_1 ),
inference(trivial_inequality_removal,[],[f38419]) ).
fof(f38421,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f38420]) ).
fof(f38584,plain,
( ~ leq(addition(multiplication(multiplication(star(multiplication(sK0,sK1)),sK0),multiplication(sK1,sK0)),sK0),multiplication(star(multiplication(sK0,sK1)),sK0))
| spl2_2 ),
inference(resolution,[],[f47,f38]) ).
fof(f38585,plain,
( ~ leq(addition(sK0,multiplication(multiplication(star(multiplication(sK0,sK1)),sK0),multiplication(sK1,sK0))),multiplication(star(multiplication(sK0,sK1)),sK0))
| spl2_2 ),
inference(forward_demodulation,[],[f38584,f22]) ).
fof(f38586,plain,
( ~ leq(multiplication(addition(one,multiplication(multiplication(star(multiplication(sK0,sK1)),sK0),sK1)),sK0),multiplication(star(multiplication(sK0,sK1)),sK0))
| spl2_2 ),
inference(forward_demodulation,[],[f38585,f628]) ).
fof(f38587,plain,
( ~ leq(multiplication(addition(one,multiplication(star(multiplication(sK0,sK1)),multiplication(sK0,sK1))),sK0),multiplication(star(multiplication(sK0,sK1)),sK0))
| spl2_2 ),
inference(forward_demodulation,[],[f38586,f26]) ).
fof(f38588,plain,
( multiplication(star(multiplication(sK0,sK1)),sK0) != multiplication(addition(addition(one,multiplication(star(multiplication(sK0,sK1)),multiplication(sK0,sK1))),star(multiplication(sK0,sK1))),sK0)
| spl2_2 ),
inference(resolution,[],[f38587,f155]) ).
fof(f38589,plain,
( multiplication(star(multiplication(sK0,sK1)),sK0) != multiplication(addition(star(multiplication(sK0,sK1)),addition(one,multiplication(star(multiplication(sK0,sK1)),multiplication(sK0,sK1)))),sK0)
| spl2_2 ),
inference(forward_demodulation,[],[f38588,f22]) ).
fof(f38590,plain,
( multiplication(star(multiplication(sK0,sK1)),sK0) != multiplication(addition(one,addition(multiplication(star(multiplication(sK0,sK1)),multiplication(sK0,sK1)),star(multiplication(sK0,sK1)))),sK0)
| spl2_2 ),
inference(forward_demodulation,[],[f38589,f83]) ).
fof(f38591,plain,
( multiplication(star(multiplication(sK0,sK1)),sK0) != multiplication(addition(one,addition(star(multiplication(sK0,sK1)),multiplication(star(multiplication(sK0,sK1)),multiplication(sK0,sK1)))),sK0)
| spl2_2 ),
inference(forward_demodulation,[],[f38590,f22]) ).
fof(f38592,plain,
( multiplication(star(multiplication(sK0,sK1)),sK0) != multiplication(addition(one,multiplication(star(multiplication(sK0,sK1)),addition(one,multiplication(sK0,sK1)))),sK0)
| spl2_2 ),
inference(forward_demodulation,[],[f38591,f108]) ).
fof(f38593,plain,
( multiplication(star(multiplication(sK0,sK1)),sK0) != multiplication(star(multiplication(sK0,sK1)),sK0)
| spl2_2 ),
inference(forward_demodulation,[],[f38592,f826]) ).
fof(f38594,plain,
( $false
| spl2_2 ),
inference(trivial_inequality_removal,[],[f38593]) ).
fof(f38595,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f38594]) ).
cnf(s1,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f48]) ).
cnf(s17,plain,
spl2_1,
inference(sat_conversion,[],[f38421]) ).
cnf(s18,plain,
spl2_2,
inference(sat_conversion,[],[f38595]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s1,s18,s17]) ).
fof(f38596,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE042+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n026.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 13:07:56 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.25/3.36 % (2831698)Will run a generic schedule for satisfiability detection.
% 20.25/3.36 % (2831705)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1063258133:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 20.25/3.36 % (2831704)% WARNING: option uhcvi not known.
% 20.25/3.36 % (2831707)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4131160990:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 20.25/3.36 % (2831703)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2623288237_2999 on theBenchmark for (2999ds/0Mi)
% 20.25/3.36 % (2831704)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=271121100:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 20.25/3.36 % (2831706)dis+10_1_sil=32000:sp=arity:random_seed=3648856773:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 20.25/3.36 % (2831708)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=187858299:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 20.25/3.36 % (2831709)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2470531377:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 20.25/3.36 % TRYING [1]
% 20.25/3.36 % TRYING [2]
% 20.25/3.36 % TRYING [3]
% 20.25/3.36 % TRYING [4]
% 20.25/3.36 % TRYING [5]
% 20.25/3.36 % (2831706)Instruction limit reached!
% 20.25/3.36 % (2831706)------------------------------
% 20.25/3.36 % (2831706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.36 % (2831706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.36 % (2831706)CaDiCaL version: 2.1.3
% 20.25/3.36 % (2831706)Termination reason: Instruction limit
% 20.25/3.36 % (2831706)Termination phase: Saturation
% 20.25/3.36 % (2831706)Time elapsed: 0.062 s
% 20.25/3.36 % (2831706)Peak memory usage: 12 MB
% 20.25/3.36 % (2831706)Instructions burned: 103 (million)
% 20.25/3.36 % (2831707)Instruction limit reached!
% 20.25/3.36 % (2831707)------------------------------
% 20.25/3.36 % (2831707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.36 % (2831707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.36 % (2831707)CaDiCaL version: 2.1.3
% 20.25/3.36 % (2831707)Termination reason: Instruction limit
% 20.25/3.36 % (2831707)Termination phase: Saturation
% 20.25/3.36 % (2831707)Time elapsed: 0.072 s
% 20.25/3.36 % (2831707)Peak memory usage: 12 MB
% 20.25/3.36 % (2831707)Instructions burned: 117 (million)
% 20.25/3.36 % (2831708)Instruction limit reached!
% 20.25/3.36 % (2831708)------------------------------
% 20.25/3.36 % (2831708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.36 % (2831708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.36 % (2831708)CaDiCaL version: 2.1.3
% 20.25/3.36 % (2831708)Termination reason: Instruction limit
% 20.25/3.36 % (2831708)Termination phase: Saturation
% 20.25/3.36 % (2831708)Time elapsed: 0.075 s
% 20.25/3.36 % (2831708)Peak memory usage: 13 MB
% 20.25/3.36 % (2831708)Instructions burned: 131 (million)
% 20.25/3.36 % (2831717)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=640130941:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 20.25/3.36 % TRYING [1]
% 20.25/3.36 % TRYING [2]
% 20.25/3.36 % TRYING [3]
% 20.25/3.36 % (2831718)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=222440971:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 20.25/3.36 % TRYING [4]
% 20.25/3.36 % (2831719)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=496389654:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 20.25/3.36 % TRYING [5]
% 20.25/3.36 % (2831709)Instruction limit reached!
% 20.25/3.36 % (2831709)------------------------------
% 20.25/3.36 % (2831709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.36 % (2831709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.36 % (2831709)CaDiCaL version: 2.1.3
% 20.25/3.36 % (2831709)Termination reason: Instruction limit
% 20.25/3.36 % (2831709)Termination phase: Saturation
% 20.25/3.36 % (2831709)Time elapsed: 0.131 s
% 20.25/3.36 % (2831709)Peak memory usage: 12 MB
% 20.25/3.36 % (2831709)Instructions burned: 160 (million)
% 20.25/3.36 % (2831723)ott-21_1_sil=16000:fs=off:random_seed=2726133129:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 20.25/3.36 % (2831718)Instruction limit reached!
% 20.25/3.36 % (2831718)------------------------------
% 20.25/3.36 % (2831718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.36 % (2831718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.36 % (2831718)CaDiCaL version: 2.1.3
% 20.25/3.36 % (2831718)Termination reason: Instruction limit
% 20.25/3.36 % (2831718)Termination phase: Saturation
% 20.25/3.36 % (2831718)Time elapsed: 0.088 s
% 20.25/3.36 % (2831718)Peak memory usage: 13 MB
% 20.25/3.36 % (2831718)Instructions burned: 132 (million)
% 20.25/3.36 % TRYING [6]
% 20.25/3.36 % (2831725)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=111430907:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 20.25/3.36 % (2831723)Instruction limit reached!
% 20.25/3.36 % (2831723)------------------------------
% 20.25/3.36 % (2831723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.36 % (2831723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.36 % (2831723)CaDiCaL version: 2.1.3
% 20.25/3.36 % (2831723)Termination reason: Instruction limit
% 20.25/3.36 % (2831723)Termination phase: Saturation
% 20.25/3.36 % (2831723)Time elapsed: 0.073 s
% 20.25/3.36 % (2831723)Peak memory usage: 11 MB
% 20.25/3.36 % (2831723)Instructions burned: 180 (million)
% 20.25/3.36 % (2831727)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1949454261:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 20.25/3.36 % TRYING [1]
% 20.25/3.36 % TRYING [2]
% 20.25/3.36 % TRYING [3]
% 20.25/3.36 % TRYING [4]
% 20.25/3.36 % TRYING [6]
% 20.25/3.36 % TRYING [5]
% 20.25/3.36 % (2831717)Instruction limit reached!
% 20.25/3.36 % (2831717)------------------------------
% 20.25/3.36 % (2831717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.36 % (2831717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.36 % (2831717)CaDiCaL version: 2.1.3
% 20.25/3.36 % (2831717)Termination reason: Instruction limit
% 20.25/3.36 % (2831717)Termination phase: Finite model building SAT solving
% 20.25/3.36 % (2831717)Time elapsed: 0.409 s
% 20.25/3.36 % (2831717)Peak memory usage: 30 MB
% 20.25/3.36 % (2831717)Instructions burned: 714 (million)
% 20.25/3.36 % (2831739)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2131232925:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 20.25/3.36 % TRYING [6]
% 20.25/3.36 % (2831719)Instruction limit reached!
% 20.25/3.36 % (2831719)------------------------------
% 20.25/3.36 % (2831719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.36 % (2831719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.36 % (2831719)CaDiCaL version: 2.1.3
% 20.25/3.36 % (2831719)Termination reason: Instruction limit
% 20.25/3.36 % (2831719)Termination phase: Saturation
% 20.25/3.36 % (2831719)Time elapsed: 0.444 s
% 20.25/3.36 % (2831719)Peak memory usage: 17 MB
% 20.25/3.36 % (2831719)Instructions burned: 684 (million)
% 20.25/3.36 % (2831746)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2524676267:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 20.25/3.36 % (2831725)Instruction limit reached!
% 20.25/3.36 % (2831725)------------------------------
% 20.25/3.36 % (2831725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.36 % (2831725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.36 % (2831725)CaDiCaL version: 2.1.3
% 20.25/3.36 % (2831725)Termination reason: Instruction limit
% 20.25/3.36 % (2831725)Termination phase: Saturation
% 20.25/3.36 % (2831725)Time elapsed: 0.414 s
% 20.25/3.36 % (2831725)Peak memory usage: 14 MB
% 20.25/3.36 % (2831725)Instructions burned: 477 (million)
% 20.25/3.36 % (2831748)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2881263558:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 20.25/3.36 % TRYING [14]
% 20.25/3.36 % (2831727)Instruction limit reached!
% 20.25/3.36 % (2831727)------------------------------
% 20.25/3.36 % (2831727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.36 % (2831727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.36 % (2831727)CaDiCaL version: 2.1.3
% 20.25/3.36 % (2831727)Termination reason: Instruction limit
% 20.25/3.36 % (2831727)Termination phase: Finite model building SAT solving
% 20.25/3.36 % (2831727)Time elapsed: 0.574 s
% 20.25/3.36 % (2831727)Peak memory usage: 25 MB
% 20.25/3.36 % (2831727)Instructions burned: 865 (million)
% 20.25/3.36 % (2831752)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=404821491:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 20.25/3.36 % (2831746)Instruction limit reached!
% 20.25/3.36 % (2831746)------------------------------
% 20.25/3.36 % (2831746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.36 % (2831746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.36 % (2831746)CaDiCaL version: 2.1.3
% 20.25/3.36 % (2831746)Termination reason: Instruction limit
% 20.25/3.36 % (2831746)Termination phase: Finite model building constraint generation
% 20.25/3.36 % (2831746)Time elapsed: 0.652 s
% 20.25/3.36 % (2831746)Peak memory usage: 81 MB
% 20.25/3.36 % (2831746)Instructions burned: 890 (million)
% 20.25/3.36 % (2831762)fmb+10_1_sil=64000:random_seed=3016169864:i=22061:nm=2:gsp=on_2987 on theBenchmark for (2987ds/22061Mi)
% 20.25/3.36 % TRYING [1]
% 20.25/3.36 % TRYING [2]
% 20.25/3.36 % TRYING [3]
% 20.25/3.36 % TRYING [4]
% 20.25/3.36 % (2831748)Instruction limit reached!
% 20.25/3.36 % (2831748)------------------------------
% 20.25/3.36 % (2831748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.36 % (2831748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.36 % (2831748)CaDiCaL version: 2.1.3
% 20.25/3.36 % (2831748)Termination reason: Instruction limit
% 20.25/3.36 % (2831748)Termination phase: Saturation
% 20.25/3.36 % (2831748)Time elapsed: 0.680 s
% 20.25/3.36 % (2831748)Peak memory usage: 18 MB
% 20.25/3.36 % (2831748)Instructions burned: 692 (million)
% 20.25/3.36 % TRYING [5]
% 20.25/3.36 % (2831765)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=858166649:i=9515:nm=5_2986 on theBenchmark for (2986ds/9515Mi)
% 20.25/3.36 % TRYING [20]
% 20.25/3.36 % TRYING [6]
% 20.25/3.36 % (2831739)Instruction limit reached!
% 20.25/3.36 % (2831739)------------------------------
% 20.25/3.36 % (2831739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.36 % (2831739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.36 % (2831739)CaDiCaL version: 2.1.3
% 20.25/3.36 % (2831739)Termination reason: Instruction limit
% 20.25/3.36 % (2831739)Termination phase: Saturation
% 20.25/3.36 % (2831739)Time elapsed: 1.067 s
% 20.25/3.36 % (2831739)Peak memory usage: 20 MB
% 20.25/3.36 % (2831739)Instructions burned: 1180 (million)
% 20.25/3.36 % (2831771)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2437358503:fmbsr=1.7:i=920_2983 on theBenchmark for (2983ds/920Mi)
% 20.25/3.36 % TRYING [8]
% 20.25/3.36 % TRYING [7]
% 20.25/3.36 % (2831752)Instruction limit reached!
% 20.25/3.36 % (2831752)------------------------------
% 20.25/3.36 % (2831752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.36 % (2831752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.36 % (2831752)CaDiCaL version: 2.1.3
% 20.25/3.36 % (2831752)Termination reason: Instruction limit
% 20.25/3.36 % (2831752)Termination phase: Saturation
% 20.25/3.36 % (2831752)Time elapsed: 0.866 s
% 20.25/3.36 % (2831752)Peak memory usage: 19 MB
% 20.25/3.36 % (2831752)Instructions burned: 880 (million)
% 20.25/3.36 % (2831773)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1902924234:i=5131_2982 on theBenchmark for (2982ds/5131Mi)
% 20.25/3.36 % (2831771)Instruction limit reached!
% 20.25/3.36 % (2831771)------------------------------
% 20.25/3.36 % (2831771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.36 % (2831771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.36 % (2831771)CaDiCaL version: 2.1.3
% 20.25/3.36 % (2831771)Termination reason: Instruction limit
% 20.25/3.36 % (2831771)Termination phase: Finite model building constraint generation
% 20.25/3.36 % (2831771)Time elapsed: 0.455 s
% 20.25/3.36 % (2831771)Peak memory usage: 66 MB
% 20.25/3.36 % (2831771)Instructions burned: 920 (million)
% 20.25/3.36 % (2831779)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2474608285:i=1472:ins=7:fdi=8:gsp=on_2978 on theBenchmark for (2978ds/1472Mi)
% 20.25/3.36 % TRYING [7]
% 20.25/3.36 % (2831773) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2831698-2831773"...
% 20.25/3.36 % (2831773)...printing done.
% 20.25/3.36 % (2831773)Refutation found. Thanks to Tanya!
% 20.25/3.36 % SZS status Theorem for theBenchmark
% 20.25/3.36 % SZS output start Proof for theBenchmark
% See solution above
% 20.25/3.37 % (2831773)------------------------------
% 20.25/3.37 % (2831773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.37 % (2831773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.37 % (2831773)CaDiCaL version: 2.1.3
% 20.25/3.37 % (2831773)Termination reason: Refutation
% 20.25/3.37 % (2831773)Time elapsed: 1.088 s
% 20.25/3.37 % (2831773)Peak memory usage: 25 MB
% 20.25/3.37 % (2831773)Instructions burned: 1930 (million)
% 20.25/3.37 % (2831698)Success in time 2.933 s
% 20.25/3.37 % Vampire exiting
%------------------------------------------------------------------------------