%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE043+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 : n004.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 17.23s 2.96s
% Output : Refutation 17.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 14
% Syntax : Number of formulae : 86 ( 43 unt; 2 def)
% Number of atoms : 129 ( 59 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 83 ( 40 ~; 37 |; 2 &)
% ( 3 <=>; 1 =>; 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 : 106 ( 0 sgn 104 !; 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(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_idempotence) ).
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(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(f17,conjecture,
! [X0,X1] :
( leq(multiplication(star(X0),X1),addition(X1,multiplication(multiplication(X0,star(X0)),X1)))
& leq(addition(X1,multiplication(multiplication(X0,star(X0)),X1)),multiplication(star(X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( leq(multiplication(star(X0),X1),addition(X1,multiplication(multiplication(X0,star(X0)),X1)))
& leq(addition(X1,multiplication(multiplication(X0,star(X0)),X1)),multiplication(star(X0),X1)) ),
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(f21,plain,
? [X0,X1] :
( ~ leq(multiplication(star(X0),X1),addition(X1,multiplication(multiplication(X0,star(X0)),X1)))
| ~ leq(addition(X1,multiplication(multiplication(X0,star(X0)),X1)),multiplication(star(X0),X1)) ),
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(f25,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
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(f37,plain,
! [X2,X0,X1] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f39,plain,
( ~ leq(addition(sK1,multiplication(multiplication(sK0,star(sK0)),sK1)),multiplication(star(sK0),sK1))
| ~ leq(multiplication(star(sK0),sK1),addition(sK1,multiplication(multiplication(sK0,star(sK0)),sK1))) ),
inference(cnf_transformation,[],[f21]) ).
fof(f41,definition,
( spl2_1
<=> leq(multiplication(star(sK0),sK1),addition(sK1,multiplication(multiplication(sK0,star(sK0)),sK1))) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f43,plain,
( ~ leq(multiplication(star(sK0),sK1),addition(sK1,multiplication(multiplication(sK0,star(sK0)),sK1)))
| spl2_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f45,definition,
( spl2_2
<=> leq(addition(sK1,multiplication(multiplication(sK0,star(sK0)),sK1)),multiplication(star(sK0),sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f47,plain,
( ~ leq(addition(sK1,multiplication(multiplication(sK0,star(sK0)),sK1)),multiplication(star(sK0),sK1))
| 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(f76,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f23,f25]) ).
fof(f77,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f23,f22]) ).
fof(f83,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X2,X0)),
inference(superposition,[],[f23,f22]) ).
fof(f109,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f29,f27]) ).
fof(f143,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f30,f28]) ).
fof(f147,plain,
! [X2,X3,X0,X1] : multiplication(addition(X3,multiplication(X0,X1)),X2) = addition(multiplication(X3,X2),multiplication(X0,multiplication(X1,X2))),
inference(superposition,[],[f30,f26]) ).
fof(f148,plain,
! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
inference(superposition,[],[f30,f28]) ).
fof(f151,plain,
! [X2,X0,X1] : addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X2,X0),X1),
inference(superposition,[],[f30,f22]) ).
fof(f156,plain,
! [X2,X0,X1] :
( leq(multiplication(X0,X2),multiplication(X1,X2))
| multiplication(X1,X2) != multiplication(addition(X0,X1),X2) ),
inference(superposition,[],[f33,f30]) ).
fof(f252,plain,
! [X2,X0,X1] :
( leq(addition(X1,X0),X2)
| addition(X0,addition(X1,X2)) != X2 ),
inference(superposition,[],[f33,f77]) ).
fof(f535,plain,
! [X2,X0,X1] : addition(X0,addition(multiplication(X0,X1),X2)) = addition(X2,multiplication(X0,addition(one,X1))),
inference(superposition,[],[f83,f109]) ).
fof(f634,plain,
! [X2,X0,X1] : multiplication(addition(one,multiplication(X0,X1)),X2) = addition(X2,multiplication(X0,multiplication(X1,X2))),
inference(superposition,[],[f143,f26]) ).
fof(f648,plain,
! [X2,X0,X1] : addition(X1,addition(multiplication(X0,X1),X2)) = addition(X2,multiplication(addition(one,X0),X1)),
inference(superposition,[],[f83,f143]) ).
fof(f661,plain,
( ~ leq(multiplication(star(sK0),sK1),multiplication(addition(one,multiplication(sK0,star(sK0))),sK1))
| spl2_1 ),
inference(superposition,[],[f43,f143]) ).
fof(f674,plain,
( ~ leq(addition(multiplication(sK0,multiplication(addition(one,multiplication(sK0,star(sK0))),sK1)),sK1),multiplication(addition(one,multiplication(sK0,star(sK0))),sK1))
| spl2_1 ),
inference(resolution,[],[f661,f37]) ).
fof(f675,plain,
( ~ leq(addition(sK1,multiplication(sK0,multiplication(addition(one,multiplication(sK0,star(sK0))),sK1))),multiplication(addition(one,multiplication(sK0,star(sK0))),sK1))
| spl2_1 ),
inference(forward_demodulation,[],[f674,f22]) ).
fof(f688,plain,
! [X0,X1] : multiplication(X0,addition(multiplication(X0,X1),X1)) = multiplication(addition(X0,one),multiplication(X0,X1)),
inference(superposition,[],[f29,f148]) ).
fof(f713,plain,
! [X0,X1] : multiplication(X0,addition(X1,multiplication(X0,X1))) = multiplication(addition(X0,one),multiplication(X0,X1)),
inference(forward_demodulation,[],[f688,f22]) ).
fof(f721,plain,
! [X0,X1] : multiplication(X0,multiplication(addition(one,X0),X1)) = multiplication(addition(X0,one),multiplication(X0,X1)),
inference(forward_demodulation,[],[f713,f143]) ).
fof(f759,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(X0,star(X0)),star(X0))),
inference(superposition,[],[f23,f65]) ).
fof(f778,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f759,f22]) ).
fof(f782,plain,
! [X0] : star(X0) = addition(one,multiplication(addition(one,X0),star(X0))),
inference(forward_demodulation,[],[f778,f143]) ).
fof(f966,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = multiplication(addition(X1,X0),X2),
inference(superposition,[],[f151,f30]) ).
fof(f6126,plain,
( multiplication(addition(one,multiplication(sK0,star(sK0))),sK1) != addition(multiplication(sK0,multiplication(addition(one,multiplication(sK0,star(sK0))),sK1)),addition(sK1,multiplication(addition(one,multiplication(sK0,star(sK0))),sK1)))
| spl2_1 ),
inference(resolution,[],[f252,f675]) ).
fof(f6223,plain,
( multiplication(addition(one,multiplication(sK0,star(sK0))),sK1) != addition(multiplication(sK0,multiplication(addition(one,multiplication(sK0,star(sK0))),sK1)),multiplication(addition(one,addition(one,multiplication(sK0,star(sK0)))),sK1))
| spl2_1 ),
inference(forward_demodulation,[],[f6126,f143]) ).
fof(f6233,plain,
( multiplication(addition(one,multiplication(sK0,star(sK0))),sK1) != addition(multiplication(sK0,multiplication(addition(one,multiplication(sK0,star(sK0))),sK1)),multiplication(addition(one,multiplication(sK0,star(sK0))),sK1))
| spl2_1 ),
inference(forward_demodulation,[],[f6223,f76]) ).
fof(f40550,plain,
( multiplication(addition(one,multiplication(sK0,star(sK0))),sK1) != addition(sK1,addition(multiplication(multiplication(sK0,star(sK0)),sK1),multiplication(sK0,multiplication(addition(one,multiplication(sK0,star(sK0))),sK1))))
| spl2_1 ),
inference(superposition,[],[f6233,f648]) ).
fof(f40608,plain,
( multiplication(addition(one,multiplication(sK0,star(sK0))),sK1) != addition(sK1,multiplication(addition(multiplication(sK0,star(sK0)),multiplication(sK0,addition(one,multiplication(sK0,star(sK0))))),sK1))
| spl2_1 ),
inference(forward_demodulation,[],[f40550,f147]) ).
fof(f40855,plain,
( multiplication(addition(one,multiplication(sK0,star(sK0))),sK1) != addition(sK1,multiplication(addition(sK0,addition(multiplication(sK0,multiplication(sK0,star(sK0))),multiplication(sK0,star(sK0)))),sK1))
| spl2_1 ),
inference(forward_demodulation,[],[f40608,f535]) ).
fof(f40956,plain,
( multiplication(addition(one,multiplication(sK0,star(sK0))),sK1) != addition(sK1,multiplication(addition(sK0,addition(multiplication(sK0,star(sK0)),multiplication(sK0,multiplication(sK0,star(sK0))))),sK1))
| spl2_1 ),
inference(forward_demodulation,[],[f40855,f22]) ).
fof(f40981,plain,
( multiplication(addition(one,multiplication(sK0,star(sK0))),sK1) != addition(sK1,multiplication(addition(sK0,multiplication(addition(one,sK0),multiplication(sK0,star(sK0)))),sK1))
| spl2_1 ),
inference(forward_demodulation,[],[f40956,f143]) ).
fof(f40995,plain,
( multiplication(addition(one,multiplication(sK0,star(sK0))),sK1) != addition(sK1,multiplication(addition(sK0,multiplication(addition(sK0,one),multiplication(sK0,star(sK0)))),sK1))
| spl2_1 ),
inference(forward_demodulation,[],[f40981,f966]) ).
fof(f47583,plain,
( multiplication(addition(one,multiplication(sK0,star(sK0))),sK1) != addition(sK1,multiplication(addition(sK0,multiplication(sK0,multiplication(addition(one,sK0),star(sK0)))),sK1))
| spl2_1 ),
inference(superposition,[],[f40995,f721]) ).
fof(f47696,plain,
( multiplication(addition(one,multiplication(sK0,star(sK0))),sK1) != addition(sK1,multiplication(multiplication(sK0,addition(one,multiplication(addition(one,sK0),star(sK0)))),sK1))
| spl2_1 ),
inference(forward_demodulation,[],[f47583,f109]) ).
fof(f47753,plain,
( multiplication(addition(one,multiplication(sK0,star(sK0))),sK1) != addition(sK1,multiplication(sK0,multiplication(addition(one,multiplication(addition(one,sK0),star(sK0))),sK1)))
| spl2_1 ),
inference(forward_demodulation,[],[f47696,f26]) ).
fof(f47793,plain,
( addition(sK1,multiplication(sK0,multiplication(star(sK0),sK1))) != multiplication(addition(one,multiplication(sK0,star(sK0))),sK1)
| spl2_1 ),
inference(forward_demodulation,[],[f47753,f782]) ).
fof(f47817,plain,
( $false
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f47793,f634]) ).
fof(f47818,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f47817]) ).
fof(f47857,plain,
( ~ leq(multiplication(addition(one,multiplication(sK0,star(sK0))),sK1),multiplication(star(sK0),sK1))
| spl2_2 ),
inference(forward_demodulation,[],[f47,f143]) ).
fof(f47866,plain,
( multiplication(star(sK0),sK1) != multiplication(addition(addition(one,multiplication(sK0,star(sK0))),star(sK0)),sK1)
| spl2_2 ),
inference(resolution,[],[f47857,f156]) ).
fof(f47867,plain,
( multiplication(star(sK0),sK1) != multiplication(addition(star(sK0),addition(one,multiplication(sK0,star(sK0)))),sK1)
| spl2_2 ),
inference(forward_demodulation,[],[f47866,f22]) ).
fof(f47868,plain,
( multiplication(star(sK0),sK1) != multiplication(addition(one,addition(multiplication(sK0,star(sK0)),star(sK0))),sK1)
| spl2_2 ),
inference(forward_demodulation,[],[f47867,f83]) ).
fof(f47869,plain,
( multiplication(star(sK0),sK1) != multiplication(addition(one,addition(star(sK0),multiplication(sK0,star(sK0)))),sK1)
| spl2_2 ),
inference(forward_demodulation,[],[f47868,f22]) ).
fof(f47870,plain,
( multiplication(star(sK0),sK1) != multiplication(addition(one,multiplication(addition(one,sK0),star(sK0))),sK1)
| spl2_2 ),
inference(forward_demodulation,[],[f47869,f143]) ).
fof(f47871,plain,
( multiplication(star(sK0),sK1) != multiplication(star(sK0),sK1)
| spl2_2 ),
inference(forward_demodulation,[],[f47870,f782]) ).
fof(f47872,plain,
( $false
| spl2_2 ),
inference(trivial_inequality_removal,[],[f47871]) ).
fof(f47873,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f47872]) ).
cnf(s1,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f48]) ).
cnf(s17,plain,
spl2_1,
inference(sat_conversion,[],[f47818]) ).
cnf(s18,plain,
spl2_2,
inference(sat_conversion,[],[f47873]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s1,s18,s17]) ).
fof(f47874,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE043+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n004.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 13:07:07 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 14.77/2.54 % (3502667)Will run a generic schedule for satisfiability detection.
% 14.77/2.54 % (3502676)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1482199980:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.77/2.54 % (3502673)% WARNING: option uhcvi not known.
% 14.77/2.54 % (3502672)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1251555490_2999 on theBenchmark for (2999ds/0Mi)
% 14.77/2.54 % (3502673)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2915825098:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.77/2.54 % (3502674)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3992244167:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.77/2.54 % (3502677)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1203918818:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.77/2.54 % (3502675)dis+10_1_sil=32000:sp=arity:random_seed=1633364419:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.77/2.54 % (3502678)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=393381380:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.77/2.54 % TRYING [1]
% 14.77/2.54 % TRYING [2]
% 14.77/2.54 % TRYING [3]
% 14.77/2.54 % TRYING [4]
% 14.77/2.54 % (3502676)Instruction limit reached!
% 14.77/2.54 % (3502676)------------------------------
% 14.77/2.54 % (3502676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.77/2.54 % (3502676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.77/2.54 % (3502676)CaDiCaL version: 2.1.3
% 14.77/2.54 % (3502676)Termination reason: Instruction limit
% 14.77/2.54 % (3502676)Termination phase: Saturation
% 14.77/2.54 % (3502676)Time elapsed: 0.041 s
% 14.77/2.54 % (3502676)Peak memory usage: 13 MB
% 14.77/2.54 % (3502676)Instructions burned: 118 (million)
% 14.77/2.54 % TRYING [5]
% 14.77/2.54 % (3502686)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=470852899:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.77/2.54 % TRYING [1]
% 14.77/2.54 % TRYING [2]
% 14.77/2.54 % TRYING [3]
% 14.77/2.54 % TRYING [4]
% 14.77/2.54 % (3502675)Instruction limit reached!
% 14.77/2.54 % (3502675)------------------------------
% 14.77/2.54 % (3502675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.77/2.54 % (3502675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.77/2.54 % (3502675)CaDiCaL version: 2.1.3
% 14.77/2.54 % (3502675)Termination reason: Instruction limit
% 14.77/2.54 % (3502675)Termination phase: Saturation
% 14.77/2.54 % (3502675)Time elapsed: 0.063 s
% 14.77/2.54 % (3502675)Peak memory usage: 12 MB
% 14.77/2.54 % (3502675)Instructions burned: 103 (million)
% 14.77/2.54 % TRYING [5]
% 14.77/2.54 % (3502677)Instruction limit reached!
% 14.77/2.54 % (3502677)------------------------------
% 14.77/2.54 % (3502677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.77/2.54 % (3502677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.77/2.54 % (3502677)CaDiCaL version: 2.1.3
% 14.77/2.54 % (3502677)Termination reason: Instruction limit
% 14.77/2.54 % (3502677)Termination phase: Saturation
% 14.77/2.54 % (3502677)Time elapsed: 0.076 s
% 14.77/2.54 % (3502677)Peak memory usage: 13 MB
% 14.77/2.54 % (3502677)Instructions burned: 132 (million)
% 14.77/2.54 % (3502688)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3435538428:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.77/2.54 % (3502689)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=4053089853:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.77/2.54 % (3502678)Instruction limit reached!
% 14.77/2.54 % (3502678)------------------------------
% 14.77/2.54 % (3502678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.77/2.54 % (3502678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.77/2.54 % (3502678)CaDiCaL version: 2.1.3
% 14.77/2.54 % (3502678)Termination reason: Instruction limit
% 14.77/2.54 % (3502678)Termination phase: Saturation
% 14.77/2.54 % (3502678)Time elapsed: 0.099 s
% 14.77/2.54 % (3502678)Peak memory usage: 13 MB
% 14.77/2.54 % (3502678)Instructions burned: 160 (million)
% 14.77/2.54 % (3502692)ott-21_1_sil=16000:fs=off:random_seed=2466330136:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.77/2.54 % TRYING [6]
% 14.77/2.54 % TRYING [6]
% 14.77/2.54 % (3502688)Instruction limit reached!
% 14.77/2.54 % (3502688)------------------------------
% 14.77/2.54 % (3502688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.23/2.96 % (3502688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.23/2.96 % (3502688)CaDiCaL version: 2.1.3
% 17.23/2.96 % (3502688)Termination reason: Instruction limit
% 17.23/2.96 % (3502688)Termination phase: Saturation
% 17.23/2.96 % (3502688)Time elapsed: 0.090 s
% 17.23/2.96 % (3502688)Peak memory usage: 13 MB
% 17.23/2.96 % (3502688)Instructions burned: 132 (million)
% 17.23/2.96 % (3502694)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1675374341:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 17.23/2.96 % (3502692)Instruction limit reached!
% 17.23/2.96 % (3502692)------------------------------
% 17.23/2.96 % (3502692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.23/2.96 % (3502692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.23/2.96 % (3502692)CaDiCaL version: 2.1.3
% 17.23/2.96 % (3502692)Termination reason: Instruction limit
% 17.23/2.96 % (3502692)Termination phase: Saturation
% 17.23/2.96 % (3502692)Time elapsed: 0.076 s
% 17.23/2.96 % (3502692)Peak memory usage: 12 MB
% 17.23/2.96 % (3502692)Instructions burned: 180 (million)
% 17.23/2.96 % (3502696)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2668859649:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 17.23/2.96 % TRYING [1]
% 17.23/2.96 % TRYING [2]
% 17.23/2.96 % (3502686)Instruction limit reached!
% 17.23/2.96 % (3502686)------------------------------
% 17.23/2.96 % (3502686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.23/2.96 % (3502686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.23/2.96 % (3502686)CaDiCaL version: 2.1.3
% 17.23/2.96 % (3502686)Termination reason: Instruction limit
% 17.23/2.96 % (3502686)Termination phase: Finite model building SAT solving
% 17.23/2.96 % (3502686)Time elapsed: 0.177 s
% 17.23/2.96 % (3502686)Peak memory usage: 31 MB
% 17.23/2.96 % (3502686)Instructions burned: 719 (million)
% 17.23/2.96 % TRYING [3]
% 17.23/2.96 % TRYING [4]
% 17.23/2.96 % (3502698)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=533293917:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 17.23/2.96 % TRYING [5]
% 17.23/2.96 % TRYING [6]
% 17.23/2.96 % (3502689)Instruction limit reached!
% 17.23/2.96 % (3502689)------------------------------
% 17.23/2.96 % (3502689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.23/2.96 % (3502689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.23/2.96 % (3502689)CaDiCaL version: 2.1.3
% 17.23/2.96 % (3502689)Termination reason: Instruction limit
% 17.23/2.96 % (3502689)Termination phase: Saturation
% 17.23/2.96 % (3502689)Time elapsed: 0.395 s
% 17.23/2.96 % (3502689)Peak memory usage: 18 MB
% 17.23/2.96 % (3502689)Instructions burned: 684 (million)
% 17.23/2.96 % (3502694)Instruction limit reached!
% 17.23/2.96 % (3502694)------------------------------
% 17.23/2.96 % (3502694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.23/2.96 % (3502694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.23/2.96 % (3502694)CaDiCaL version: 2.1.3
% 17.23/2.96 % (3502694)Termination reason: Instruction limit
% 17.23/2.96 % (3502694)Termination phase: Saturation
% 17.23/2.96 % (3502694)Time elapsed: 0.298 s
% 17.23/2.96 % (3502694)Peak memory usage: 14 MB
% 17.23/2.96 % (3502694)Instructions burned: 477 (million)
% 17.23/2.96 % (3502700)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1207780325:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 17.23/2.96 % (3502701)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=3106759868:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 17.23/2.96 % (3502696)Instruction limit reached!
% 17.23/2.96 % (3502696)------------------------------
% 17.23/2.96 % (3502696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.23/2.96 % (3502696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.23/2.96 % (3502696)CaDiCaL version: 2.1.3
% 17.23/2.96 % (3502696)Termination reason: Instruction limit
% 17.23/2.96 % (3502696)Termination phase: Finite model building SAT solving
% 17.23/2.96 % (3502696)Time elapsed: 0.347 s
% 17.23/2.96 % (3502696)Peak memory usage: 25 MB
% 17.23/2.96 % (3502696)Instructions burned: 865 (million)
% 17.23/2.96 % TRYING [7]
% 17.23/2.96 % (3502698)Instruction limit reached!
% 17.23/2.96 % (3502698)------------------------------
% 17.23/2.96 % (3502698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.23/2.96 % (3502698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.23/2.96 % (3502698)CaDiCaL version: 2.1.3
% 17.23/2.96 % (3502698)Termination reason: Instruction limit
% 17.23/2.96 % (3502698)Termination phase: Saturation
% 17.23/2.96 % (3502698)Time elapsed: 0.350 s
% 17.23/2.96 % (3502698)Peak memory usage: 20 MB
% 17.23/2.96 % (3502698)Instructions burned: 1181 (million)
% 17.23/2.96 % (3502704)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3650993299:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 17.23/2.96 % (3502705)fmb+10_1_sil=64000:random_seed=878813375:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 17.23/2.96 % TRYING [1]
% 17.23/2.96 % TRYING [2]
% 17.23/2.96 % TRYING [3]
% 17.23/2.96 % TRYING [4]
% 17.23/2.96 % TRYING [5]
% 17.23/2.96 % TRYING [14]
% 17.23/2.96 % TRYING [6]
% 17.23/2.96 % (3502700)Instruction limit reached!
% 17.23/2.96 % (3502700)------------------------------
% 17.23/2.96 % (3502700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.23/2.96 % (3502700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.23/2.96 % (3502700)CaDiCaL version: 2.1.3
% 17.23/2.96 % (3502700)Termination reason: Instruction limit
% 17.23/2.96 % (3502700)Termination phase: Finite model building constraint generation
% 17.23/2.96 % (3502700)Time elapsed: 0.341 s
% 17.23/2.96 % (3502700)Peak memory usage: 81 MB
% 17.23/2.96 % (3502700)Instructions burned: 893 (million)
% 17.23/2.96 % TRYING [7]
% 17.23/2.96 % (3502708)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1719230298:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 17.23/2.96 % TRYING [20]
% 17.23/2.96 % (3502701)Instruction limit reached!
% 17.23/2.96 % (3502701)------------------------------
% 17.23/2.96 % (3502701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.23/2.96 % (3502701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.23/2.96 % (3502701)CaDiCaL version: 2.1.3
% 17.23/2.96 % (3502701)Termination reason: Instruction limit
% 17.23/2.96 % (3502701)Termination phase: Saturation
% 17.23/2.96 % (3502701)Time elapsed: 0.391 s
% 17.23/2.96 % (3502701)Peak memory usage: 16 MB
% 17.23/2.96 % (3502701)Instructions burned: 692 (million)
% 17.23/2.96 % (3502710)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2014653130:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 17.23/2.96 % TRYING [8]
% 17.23/2.96 % (3502704)Instruction limit reached!
% 17.23/2.96 % (3502704)------------------------------
% 17.23/2.96 % (3502704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.23/2.96 % (3502704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.23/2.96 % (3502704)CaDiCaL version: 2.1.3
% 17.23/2.96 % (3502704)Termination reason: Instruction limit
% 17.23/2.96 % (3502704)Termination phase: Saturation
% 17.23/2.96 % (3502704)Time elapsed: 0.524 s
% 17.23/2.96 % (3502704)Peak memory usage: 19 MB
% 17.23/2.96 % (3502704)Instructions burned: 879 (million)
% 17.23/2.96 % (3502712)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3566735572:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 17.23/2.96 % TRYING [8]
% 17.23/2.96 % TRYING [8]
% 17.23/2.96 % (3502710)Instruction limit reached!
% 17.23/2.96 % (3502710)------------------------------
% 17.23/2.96 % (3502710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.23/2.96 % (3502710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.23/2.96 % (3502710)CaDiCaL version: 2.1.3
% 17.23/2.96 % (3502710)Termination reason: Instruction limit
% 17.23/2.96 % (3502710)Termination phase: Finite model building constraint generation
% 17.23/2.96 % (3502710)Time elapsed: 0.351 s
% 17.23/2.96 % (3502710)Peak memory usage: 66 MB
% 17.23/2.96 % (3502710)Instructions burned: 920 (million)
% 17.23/2.96 % (3502714)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3163153046:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 17.23/2.96 % (3502714)Instruction limit reached!
% 17.23/2.96 % (3502714)------------------------------
% 17.23/2.96 % (3502714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.23/2.96 % (3502714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.23/2.96 % (3502714)CaDiCaL version: 2.1.3
% 17.23/2.96 % (3502714)Termination reason: Instruction limit
% 17.23/2.96 % (3502714)Termination phase: Saturation
% 17.23/2.96 % (3502714)Time elapsed: 0.759 s
% 17.23/2.96 % (3502714)Peak memory usage: 28 MB
% 17.23/2.96 % (3502714)Instructions burned: 1473 (million)
% 17.23/2.96 % (3502716)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3331194096:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 17.23/2.96 % TRYING [77]
% 17.23/2.96 % TRYING [9]
% 17.23/2.96 % (3502712) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3502667-3502712"...
% 17.23/2.96 % (3502712)...printing done.
% 17.23/2.96 % (3502712)Refutation found. Thanks to Tanya!
% 17.23/2.96 % SZS status Theorem for theBenchmark
% 17.23/2.96 % SZS output start Proof for theBenchmark
% See solution above
% 17.23/2.96 % (3502712)------------------------------
% 17.23/2.96 % (3502712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.23/2.96 % (3502712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.23/2.96 % (3502712)CaDiCaL version: 2.1.3
% 17.23/2.96 % (3502712)Termination reason: Refutation
% 17.23/2.96 % (3502712)Time elapsed: 1.324 s
% 17.23/2.96 % (3502712)Peak memory usage: 30 MB
% 17.23/2.96 % (3502712)Instructions burned: 2527 (million)
% 17.23/2.96 % (3502667)Success in time 2.542 s
% 17.23/2.96 % Vampire exiting
%------------------------------------------------------------------------------