%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE099+1 : 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 : n001.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 11:40:52 AM UTC 2026
% Result : Theorem 21.46s 4.72s
% Output : Refutation 21.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 18
% Syntax : Number of formulae : 90 ( 87 unt; 0 def)
% Number of atoms : 93 ( 92 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 123 ( 120 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+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/KLE001+0.ax',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+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/KLE001+0.ax',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+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/KLE001+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/KLE001+0.ax',left_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain1) ).
fof(f14,axiom,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain2) ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain3) ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain4) ).
fof(f17,axiom,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',codomain1) ).
fof(f19,axiom,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',codomain3) ).
fof(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+6.ax',forward_diamond) ).
fof(f27,conjecture,
! [X0,X1,X2] :
( addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2)
=> multiplication(antidomain(X2),multiplication(X0,domain(X1))) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f28,negated_conjecture,
~ ! [X0,X1,X2] :
( addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2)
=> multiplication(antidomain(X2),multiplication(X0,domain(X1))) = zero ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
? [X0,X1,X2] :
( zero != multiplication(antidomain(X2),multiplication(X0,domain(X1)))
& addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2) ),
inference(ennf_transformation,[],[f28]) ).
fof(f30,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f31,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f32,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f33,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f34,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f35,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f36,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f37,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f40,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f41,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f42,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(cnf_transformation,[],[f14]) ).
fof(f43,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f44,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f45,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f47,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f19]) ).
fof(f51,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f23]) ).
fof(f55,plain,
domain(sK2) = addition(forward_diamond(sK0,domain(sK1)),domain(sK2)),
inference(cnf_transformation,[],[f29]) ).
fof(f56,plain,
zero != multiplication(antidomain(sK2),multiplication(sK0,domain(sK1))),
inference(cnf_transformation,[],[f29]) ).
fof(f61,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f51,f44,f44]) ).
fof(f63,plain,
zero != multiplication(antidomain(sK2),multiplication(sK0,antidomain(antidomain(sK1)))),
inference(definition_unfolding,[],[f56,f44]) ).
fof(f64,plain,
antidomain(antidomain(sK2)) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(sK2))),
inference(definition_unfolding,[],[f55,f44,f61,f44,f44]) ).
fof(f79,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f43,f30]) ).
fof(f88,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f31,f33]) ).
fof(f92,plain,
! [X0] : addition(antidomain(antidomain(sK2)),X0) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),addition(antidomain(antidomain(sK2)),X0)),
inference(superposition,[],[f31,f64]) ).
fof(f98,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X2,X0)),
inference(superposition,[],[f31,f30]) ).
fof(f108,plain,
! [X0,X1] : multiplication(zero,X1) = multiplication(X0,multiplication(coantidomain(X0),X1)),
inference(superposition,[],[f34,f45]) ).
fof(f124,plain,
! [X0,X1] : zero = multiplication(X0,multiplication(coantidomain(X0),X1)),
inference(forward_demodulation,[],[f108,f40]) ).
fof(f128,plain,
one = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),one),
inference(superposition,[],[f92,f43]) ).
fof(f152,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f37,f41]) ).
fof(f160,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)),
inference(forward_demodulation,[],[f152,f32]) ).
fof(f173,plain,
one = addition(one,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),
inference(superposition,[],[f128,f30]) ).
fof(f187,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = addition(multiplication(X0,coantidomain(X1)),zero),
inference(superposition,[],[f38,f45]) ).
fof(f191,plain,
! [X0,X1] : addition(multiplication(X0,X1),zero) = multiplication(addition(X0,antidomain(X1)),X1),
inference(superposition,[],[f38,f41]) ).
fof(f203,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f191,f32]) ).
fof(f205,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = multiplication(X0,coantidomain(X1)),
inference(forward_demodulation,[],[f187,f32]) ).
fof(f212,plain,
! [X0] : addition(one,X0) = addition(one,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)),
inference(superposition,[],[f31,f173]) ).
fof(f264,plain,
addition(one,one) = addition(one,antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),
inference(superposition,[],[f212,f43]) ).
fof(f272,plain,
one = addition(one,antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),
inference(forward_demodulation,[],[f264,f33]) ).
fof(f280,plain,
! [X0] : addition(one,X0) = addition(one,addition(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))),X0)),
inference(superposition,[],[f31,f272]) ).
fof(f282,plain,
! [X0] : addition(one,X0) = addition(one,addition(X0,antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),
inference(superposition,[],[f280,f30]) ).
fof(f294,plain,
addition(one,antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))) = addition(one,antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),
inference(superposition,[],[f282,f42]) ).
fof(f302,plain,
one = addition(one,antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),
inference(forward_demodulation,[],[f294,f272]) ).
fof(f307,plain,
! [X0] : addition(one,X0) = addition(one,addition(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))),X0)),
inference(superposition,[],[f31,f302]) ).
fof(f319,plain,
! [X0] : addition(one,X0) = addition(one,addition(X0,antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))),
inference(superposition,[],[f307,f30]) ).
fof(f338,plain,
addition(one,antidomain(multiplication(sK0,antidomain(antidomain(sK1))))) = addition(one,antidomain(multiplication(sK0,sK1))),
inference(superposition,[],[f319,f42]) ).
fof(f350,plain,
one = addition(one,antidomain(multiplication(sK0,sK1))),
inference(forward_demodulation,[],[f338,f302]) ).
fof(f429,plain,
! [X2,X0,X1] : zero = multiplication(X0,multiplication(X1,multiplication(coantidomain(multiplication(X0,X1)),X2))),
inference(superposition,[],[f124,f34]) ).
fof(f685,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f203,f43]) ).
fof(f709,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f685,f36]) ).
fof(f1055,plain,
! [X0] : addition(X0,one) = addition(one,addition(antidomain(multiplication(sK0,sK1)),X0)),
inference(superposition,[],[f98,f350]) ).
fof(f1426,plain,
! [X0,X1] : multiplication(antidomain(addition(X0,X1)),X0) = multiplication(antidomain(addition(X0,X1)),addition(X0,X1)),
inference(superposition,[],[f160,f88]) ).
fof(f1455,plain,
! [X0] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f160,f79]) ).
fof(f1478,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f1455,f35]) ).
fof(f1499,plain,
! [X0,X1] : zero = multiplication(antidomain(addition(X0,X1)),X0),
inference(forward_demodulation,[],[f1426,f41]) ).
fof(f2277,plain,
! [X0] : addition(X0,one) = addition(one,addition(X0,one)),
inference(superposition,[],[f88,f1055]) ).
fof(f2373,plain,
! [X0] : multiplication(one,coantidomain(addition(X0,one))) = multiplication(addition(X0,one),coantidomain(addition(X0,one))),
inference(superposition,[],[f205,f2277]) ).
fof(f2374,plain,
! [X0] : zero = multiplication(one,coantidomain(addition(X0,one))),
inference(forward_demodulation,[],[f2373,f45]) ).
fof(f2409,plain,
! [X0] : zero = coantidomain(addition(X0,one)),
inference(superposition,[],[f2374,f36]) ).
fof(f2476,plain,
one = addition(coantidomain(zero),zero),
inference(superposition,[],[f47,f2409]) ).
fof(f2787,plain,
one = coantidomain(zero),
inference(superposition,[],[f2476,f32]) ).
fof(f53282,plain,
! [X2,X0,X1] : zero = multiplication(antidomain(addition(X0,X1)),multiplication(X0,multiplication(coantidomain(zero),X2))),
inference(superposition,[],[f429,f1499]) ).
fof(f53603,plain,
! [X2,X0,X1] : zero = multiplication(antidomain(addition(X0,X1)),multiplication(X0,multiplication(one,X2))),
inference(forward_demodulation,[],[f53282,f2787]) ).
fof(f53710,plain,
! [X2,X0,X1] : zero = multiplication(antidomain(addition(X0,X1)),multiplication(X0,X2)),
inference(forward_demodulation,[],[f53603,f36]) ).
fof(f55569,plain,
! [X0,X1] : zero = multiplication(antidomain(addition(antidomain(antidomain(X0)),X1)),X0),
inference(superposition,[],[f53710,f709]) ).
fof(f62773,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f1478,f709]) ).
fof(f67665,plain,
zero = multiplication(antidomain(antidomain(antidomain(sK2))),multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))),
inference(superposition,[],[f55569,f64]) ).
fof(f67918,plain,
zero = multiplication(antidomain(antidomain(antidomain(sK2))),multiplication(sK0,antidomain(antidomain(sK1)))),
inference(forward_demodulation,[],[f67665,f62773]) ).
fof(f67992,plain,
zero = multiplication(antidomain(sK2),multiplication(sK0,antidomain(antidomain(sK1)))),
inference(forward_demodulation,[],[f67918,f62773]) ).
fof(f68022,plain,
$false,
inference(forward_subsumption_resolution,[],[f67992,f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE099+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.56 % Computer : n001.cluster.edu
% 0.11/0.56 % Model : x86_64 x86_64
% 0.11/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.56 % Memory : 8046.5625MB
% 0.11/0.56 % OS : Linux 6.8.0-71-generic
% 0.11/0.56 % CPULimit : 300
% 0.11/0.56 % WCLimit : 300
% 0.11/0.56 % DateTime : Sun Sep 27 13:15:46 UTC 2026
% 0.11/0.56 % CPUTime :
% 0.11/0.56 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.59 Running first-order model finding
% 0.16/0.59 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
% 24.56/4.08 % (3561156)Will run a generic schedule for satisfiability detection.
% 24.56/4.08 % (3561166)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1916745034:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 24.56/4.08 % (3561162)% WARNING: option uhcvi not known.
% 24.56/4.08 % (3561161)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3795519946_2999 on theBenchmark for (2999ds/0Mi)
% 24.56/4.08 % (3561162)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=989546694:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 24.56/4.08 % (3561164)dis+10_1_sil=32000:sp=arity:random_seed=1213015397:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 24.56/4.08 % (3561165)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1480441959:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 24.56/4.08 % (3561163)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3903030523:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 24.56/4.08 % (3561167)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2064936061:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 24.56/4.08 % TRYING [1]
% 24.56/4.08 % TRYING [2]
% 24.56/4.08 % TRYING [3]
% 24.56/4.08 % TRYING [4]
% 24.56/4.08 % TRYING [5]
% 24.56/4.08 % (3561166)Instruction limit reached!
% 24.56/4.08 % (3561166)------------------------------
% 24.56/4.08 % (3561166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.56/4.08 % (3561166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.56/4.08 % (3561166)CaDiCaL version: 2.1.3
% 24.56/4.08 % (3561166)Termination reason: Instruction limit
% 24.56/4.08 % (3561166)Termination phase: Saturation
% 24.56/4.08 % (3561166)Time elapsed: 0.042 s
% 24.56/4.08 % (3561166)Peak memory usage: 13 MB
% 24.56/4.08 % (3561166)Instructions burned: 134 (million)
% 24.56/4.08 % (3561175)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1606087192:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 24.56/4.08 % TRYING [1]
% 24.56/4.08 % TRYING [2]
% 24.56/4.08 % TRYING [3]
% 24.56/4.08 % TRYING [4]
% 24.56/4.08 % (3561164)Instruction limit reached!
% 24.56/4.08 % (3561164)------------------------------
% 24.56/4.08 % (3561164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.56/4.08 % (3561164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.56/4.08 % (3561164)CaDiCaL version: 2.1.3
% 24.56/4.08 % (3561164)Termination reason: Instruction limit
% 24.56/4.08 % (3561164)Termination phase: Saturation
% 24.56/4.08 % (3561164)Time elapsed: 0.056 s
% 24.56/4.08 % (3561164)Peak memory usage: 12 MB
% 24.56/4.08 % (3561164)Instructions burned: 103 (million)
% 24.56/4.08 % (3561165)Instruction limit reached!
% 24.56/4.08 % (3561165)------------------------------
% 24.56/4.08 % (3561165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.56/4.08 % (3561165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.56/4.08 % (3561165)CaDiCaL version: 2.1.3
% 24.56/4.08 % (3561165)Termination reason: Instruction limit
% 24.56/4.08 % (3561165)Termination phase: Saturation
% 24.56/4.08 % (3561165)Time elapsed: 0.068 s
% 24.56/4.08 % (3561165)Peak memory usage: 13 MB
% 24.56/4.08 % (3561165)Instructions burned: 116 (million)
% 24.56/4.08 % TRYING [5]
% 24.56/4.08 % (3561177)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3714505929:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 24.56/4.08 % (3561179)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=2253195731:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 24.56/4.08 % (3561167)Instruction limit reached!
% 24.56/4.08 % (3561167)------------------------------
% 24.56/4.08 % (3561167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.56/4.08 % (3561167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.56/4.08 % (3561167)CaDiCaL version: 2.1.3
% 24.56/4.08 % (3561167)Termination reason: Instruction limit
% 24.56/4.08 % (3561167)Termination phase: Saturation
% 24.56/4.08 % (3561167)Time elapsed: 0.093 s
% 24.56/4.08 % (3561167)Peak memory usage: 12 MB
% 24.56/4.08 % (3561167)Instructions burned: 160 (million)
% 24.56/4.08 % TRYING [6]
% 24.56/4.08 % (3561185)ott-21_1_sil=16000:fs=off:random_seed=3854605888:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 24.56/4.08 % TRYING [6]
% 24.56/4.08 % (3561177)Instruction limit reached!
% 24.56/4.08 % (3561177)------------------------------
% 24.56/4.08 % (3561177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/4.72 % (3561177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/4.72 % (3561177)CaDiCaL version: 2.1.3
% 21.46/4.72 % (3561177)Termination reason: Instruction limit
% 21.46/4.72 % (3561177)Termination phase: Saturation
% 21.46/4.72 % (3561177)Time elapsed: 0.107 s
% 21.46/4.72 % (3561177)Peak memory usage: 13 MB
% 21.46/4.72 % (3561177)Instructions burned: 131 (million)
% 21.46/4.72 % (3561210)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2277566739:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 21.46/4.72 % (3561185)Instruction limit reached!
% 21.46/4.72 % (3561185)------------------------------
% 21.46/4.72 % (3561185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/4.72 % (3561185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/4.72 % (3561185)CaDiCaL version: 2.1.3
% 21.46/4.72 % (3561185)Termination reason: Instruction limit
% 21.46/4.72 % (3561185)Termination phase: Saturation
% 21.46/4.72 % (3561185)Time elapsed: 0.143 s
% 21.46/4.72 % (3561185)Peak memory usage: 12 MB
% 21.46/4.72 % (3561185)Instructions burned: 180 (million)
% 21.46/4.72 % (3561175)Instruction limit reached!
% 21.46/4.72 % (3561175)------------------------------
% 21.46/4.72 % (3561175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/4.72 % (3561175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/4.72 % (3561175)CaDiCaL version: 2.1.3
% 21.46/4.72 % (3561175)Termination reason: Instruction limit
% 21.46/4.72 % (3561175)Termination phase: Finite model building SAT solving
% 21.46/4.72 % (3561175)Time elapsed: 0.236 s
% 21.46/4.72 % (3561175)Peak memory usage: 35 MB
% 21.46/4.72 % (3561175)Instructions burned: 715 (million)
% 21.46/4.72 % (3561212)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2314317485:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 21.46/4.72 % TRYING [1]
% 21.46/4.72 % TRYING [2]
% 21.46/4.72 % TRYING [3]
% 21.46/4.72 % (3561215)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=468730206:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 21.46/4.72 % TRYING [4]
% 21.46/4.72 % TRYING [5]
% 21.46/4.72 % TRYING [7]
% 21.46/4.72 % (3561179)Instruction limit reached!
% 21.46/4.72 % (3561179)------------------------------
% 21.46/4.72 % (3561179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/4.72 % (3561179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/4.72 % (3561179)CaDiCaL version: 2.1.3
% 21.46/4.72 % (3561179)Termination reason: Instruction limit
% 21.46/4.72 % (3561179)Termination phase: Saturation
% 21.46/4.72 % (3561179)Time elapsed: 0.524 s
% 21.46/4.72 % (3561179)Peak memory usage: 16 MB
% 21.46/4.72 % (3561179)Instructions burned: 685 (million)
% 21.46/4.72 % (3561228)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1286478801:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 21.46/4.72 % (3561210)Instruction limit reached!
% 21.46/4.72 % (3561210)------------------------------
% 21.46/4.72 % (3561210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/4.72 % (3561210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/4.72 % (3561210)CaDiCaL version: 2.1.3
% 21.46/4.72 % (3561210)Termination reason: Instruction limit
% 21.46/4.72 % (3561210)Termination phase: Saturation
% 21.46/4.72 % (3561210)Time elapsed: 0.435 s
% 21.46/4.72 % (3561210)Peak memory usage: 16 MB
% 21.46/4.72 % (3561210)Instructions burned: 478 (million)
% 21.46/4.72 % (3561230)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=292374879: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)
% 21.46/4.72 % TRYING [6]
% 21.46/4.72 % (3561215)Instruction limit reached!
% 21.46/4.72 % (3561215)------------------------------
% 21.46/4.72 % (3561215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/4.72 % (3561215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/4.72 % (3561215)CaDiCaL version: 2.1.3
% 21.46/4.72 % (3561215)Termination reason: Instruction limit
% 21.46/4.72 % (3561215)Termination phase: Saturation
% 21.46/4.72 % (3561215)Time elapsed: 0.578 s
% 21.46/4.72 % (3561215)Peak memory usage: 25 MB
% 21.46/4.72 % (3561215)Instructions burned: 1180 (million)
% 21.46/4.72 % TRYING [14]
% 21.46/4.72 % (3561212)Instruction limit reached!
% 21.46/4.72 % (3561212)------------------------------
% 21.46/4.72 % (3561212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/4.72 % (3561212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/4.72 % (3561212)CaDiCaL version: 2.1.3
% 21.46/4.72 % (3561212)Termination reason: Instruction limit
% 21.46/4.72 % (3561212)Termination phase: Finite model building constraint generation
% 21.46/4.72 % (3561212)Time elapsed: 0.626 s
% 21.46/4.72 % (3561212)Peak memory usage: 27 MB
% 21.46/4.72 % (3561212)Instructions burned: 865 (million)
% 21.46/4.72 % (3561233)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1104219739:i=879:kws=inv_precedence:fsr=off_2990 on theBenchmark for (2990ds/879Mi)
% 21.46/4.72 % (3561235)fmb+10_1_sil=64000:random_seed=3118060339:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 21.46/4.72 % TRYING [1]
% 21.46/4.72 % TRYING [2]
% 21.46/4.72 % TRYING [3]
% 21.46/4.72 % TRYING [4]
% 21.46/4.72 % TRYING [5]
% 21.46/4.72 % (3561228)Instruction limit reached!
% 21.46/4.72 % (3561228)------------------------------
% 21.46/4.72 % (3561228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/4.72 % (3561228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/4.72 % (3561228)CaDiCaL version: 2.1.3
% 21.46/4.72 % (3561228)Termination reason: Instruction limit
% 21.46/4.72 % (3561228)Termination phase: Finite model building constraint generation
% 21.46/4.72 % (3561228)Time elapsed: 0.456 s
% 21.46/4.72 % (3561228)Peak memory usage: 80 MB
% 21.46/4.72 % (3561228)Instructions burned: 890 (million)
% 21.46/4.72 % (3561242)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2093141299:i=9515:nm=5_2988 on theBenchmark for (2988ds/9515Mi)
% 21.46/4.72 % TRYING [20]
% 21.46/4.72 % (3561230)Instruction limit reached!
% 21.46/4.72 % (3561230)------------------------------
% 21.46/4.72 % (3561230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/4.72 % (3561230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/4.72 % (3561230)CaDiCaL version: 2.1.3
% 21.46/4.72 % (3561230)Termination reason: Instruction limit
% 21.46/4.72 % (3561230)Termination phase: Saturation
% 21.46/4.72 % (3561230)Time elapsed: 0.562 s
% 21.46/4.72 % (3561230)Peak memory usage: 17 MB
% 21.46/4.72 % (3561230)Instructions burned: 693 (million)
% 21.46/4.72 % (3561246)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3212778463:fmbsr=1.7:i=920_2987 on theBenchmark for (2987ds/920Mi)
% 21.46/4.72 % TRYING [8]
% 21.46/4.72 % TRYING [6]
% 21.46/4.72 % (3561233)Instruction limit reached!
% 21.46/4.72 % (3561233)------------------------------
% 21.46/4.72 % (3561233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/4.72 % (3561233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/4.72 % (3561233)CaDiCaL version: 2.1.3
% 21.46/4.72 % (3561233)Termination reason: Instruction limit
% 21.46/4.72 % (3561233)Termination phase: Saturation
% 21.46/4.72 % (3561233)Time elapsed: 0.794 s
% 21.46/4.72 % (3561233)Peak memory usage: 19 MB
% 21.46/4.72 % (3561233)Instructions burned: 880 (million)
% 21.46/4.72 % (3561250)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4030359564:i=5131_2982 on theBenchmark for (2982ds/5131Mi)
% 21.46/4.72 % (3561246)Instruction limit reached!
% 21.46/4.72 % (3561246)------------------------------
% 21.46/4.72 % (3561246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/4.72 % (3561246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/4.72 % (3561246)CaDiCaL version: 2.1.3
% 21.46/4.72 % (3561246)Termination reason: Instruction limit
% 21.46/4.72 % (3561246)Termination phase: Finite model building constraint generation
% 21.46/4.72 % (3561246)Time elapsed: 0.705 s
% 21.46/4.72 % (3561246)Peak memory usage: 69 MB
% 21.46/4.72 % (3561246)Instructions burned: 922 (million)
% 21.46/4.72 % (3561255)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2034107623:i=1472:ins=7:fdi=8:gsp=on_2979 on theBenchmark for (2979ds/1472Mi)
% 21.46/4.72 % TRYING [7]
% 21.46/4.72 % TRYING [8]
% 21.46/4.72 % (3561255)Instruction limit reached!
% 21.46/4.72 % (3561255)------------------------------
% 21.46/4.72 % (3561255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/4.72 % (3561255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/4.72 % (3561255)CaDiCaL version: 2.1.3
% 21.46/4.72 % (3561255)Termination reason: Instruction limit
% 21.46/4.72 % (3561255)Termination phase: Saturation
% 21.46/4.72 % (3561255)Time elapsed: 1.344 s
% 21.46/4.72 % (3561255)Peak memory usage: 26 MB
% 21.46/4.72 % (3561255)Instructions burned: 1472 (million)
% 21.46/4.72 % (3561262)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=132548947:i=6324_2965 on theBenchmark for (2965ds/6324Mi)
% 21.46/4.72 % TRYING [77]
% 21.46/4.72 % (3561250) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3561156-3561250"...
% 21.46/4.72 % (3561250)...printing done.
% 21.46/4.72 % (3561250)Refutation found. Thanks to Tanya!
% 21.46/4.72 % SZS status Theorem for theBenchmark
% 21.46/4.72 % SZS output start Proof for theBenchmark
% See solution above
% 21.46/4.72 % (3561250)------------------------------
% 21.46/4.72 % (3561250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/4.72 % (3561250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/4.72 % (3561250)CaDiCaL version: 2.1.3
% 21.46/4.72 % (3561250)Termination reason: Refutation
% 21.46/4.72 % (3561250)Time elapsed: 2.189 s
% 21.46/4.72 % (3561250)Peak memory usage: 30 MB
% 21.46/4.72 % (3561250)Instructions burned: 2386 (million)
% 21.46/4.72 % (3561156)Success in time 4.119 s
% 21.46/4.72 % Vampire exiting
%------------------------------------------------------------------------------