%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE132+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 11:40:56 AM UTC 2026
% Result : Theorem 1.94s 0.83s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 16
% Syntax : Number of formulae : 88 ( 79 unt; 0 def)
% Number of atoms : 100 ( 99 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 9 ~; 5 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 95 ( 93 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(f10,axiom,
! [X0] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain1) ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain3) ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain4) ).
fof(f22,axiom,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',domain_difference) ).
fof(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',forward_diamond) ).
fof(f27,axiom,
! [X0] : forward_diamond(X0,divergence(X0)) = divergence(X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+7.ax',divergence1) ).
fof(f28,axiom,
! [X0,X1,X2] :
( addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) = addition(forward_diamond(X1,domain(X0)),domain(X2))
=> addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2)))) = addition(divergence(X1),forward_diamond(star(X1),domain(X2))) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+7.ax',divergence2) ).
fof(f29,conjecture,
! [X0] :
( ! [X1] : addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
=> ! [X2] :
( addition(domain(X2),forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
=> domain(X2) = zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f30,negated_conjecture,
~ ! [X0] :
( ! [X1] : addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))
=> ! [X2] :
( addition(domain(X2),forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
=> domain(X2) = zero ) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2)))) = addition(divergence(X1),forward_diamond(star(X1),domain(X2)))
| addition(forward_diamond(X1,domain(X0)),domain(X2)) != addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) ),
inference(ennf_transformation,[],[f28]) ).
fof(f32,plain,
? [X0] :
( ? [X2] :
( zero != domain(X2)
& addition(domain(X2),forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2)) )
& ! [X1] : addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) ),
inference(ennf_transformation,[],[f30]) ).
fof(f33,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f34,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f35,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f36,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f38,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f40,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f42,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f43,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f44,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f46,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f47,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f53,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(cnf_transformation,[],[f22]) ).
fof(f54,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f23]) ).
fof(f58,plain,
! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
inference(cnf_transformation,[],[f27]) ).
fof(f59,plain,
! [X2,X0,X1] :
( addition(forward_diamond(X1,domain(X0)),domain(X2)) != addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2)))
| addition(divergence(X1),forward_diamond(star(X1),domain(X2))) = addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2)))) ),
inference(cnf_transformation,[],[f31]) ).
fof(f60,plain,
forward_diamond(sK0,domain(sK1)) = addition(domain(sK1),forward_diamond(sK0,domain(sK1))),
inference(cnf_transformation,[],[f32]) ).
fof(f61,plain,
zero != domain(sK1),
inference(cnf_transformation,[],[f32]) ).
fof(f62,plain,
! [X1] : forward_diamond(star(sK0),domain_difference(domain(X1),forward_diamond(sK0,domain(X1)))) = addition(forward_diamond(sK0,domain(X1)),forward_diamond(star(sK0),domain_difference(domain(X1),forward_diamond(sK0,domain(X1))))),
inference(cnf_transformation,[],[f32]) ).
fof(f66,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(antidomain(antidomain(X0)),antidomain(X1)),
inference(definition_unfolding,[],[f53,f47]) ).
fof(f67,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f54,f47,f47]) ).
fof(f69,plain,
! [X0] : divergence(X0) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(divergence(X0)))))),
inference(definition_unfolding,[],[f58,f67]) ).
fof(f70,plain,
! [X2,X0,X1] :
( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2))) != addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2))))
| addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2))))))))) ),
inference(definition_unfolding,[],[f59,f67,f47,f47,f47,f67,f47,f47,f67,f47,f47,f67,f47]) ).
fof(f71,plain,
! [X1] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X1)))))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X1))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X1))))))))))))))),
inference(definition_unfolding,[],[f62,f67,f66,f47,f67,f47,f67,f47,f67,f66,f47,f67,f47]) ).
fof(f72,plain,
zero != antidomain(antidomain(sK1)),
inference(definition_unfolding,[],[f61,f47]) ).
fof(f73,plain,
antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),
inference(definition_unfolding,[],[f60,f67,f47,f47,f67,f47]) ).
fof(f74,plain,
zero = antidomain(one),
inference(superposition,[],[f44,f38]) ).
fof(f80,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f33,f35]) ).
fof(f94,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f34,f36]) ).
fof(f98,plain,
! [X0] : addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0) = addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)),
inference(superposition,[],[f34,f73]) ).
fof(f104,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X2,X0)),
inference(superposition,[],[f34,f33]) ).
fof(f113,plain,
one = addition(antidomain(antidomain(sK1)),one),
inference(superposition,[],[f98,f46]) ).
fof(f141,plain,
antidomain(antidomain(zero)) = divergence(zero),
inference(superposition,[],[f69,f43]) ).
fof(f145,plain,
! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(X0))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0))))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0)))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(X0))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0)))))))))))))),
inference(superposition,[],[f71,f69]) ).
fof(f162,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f40,f44]) ).
fof(f170,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)),
inference(forward_demodulation,[],[f162,f35]) ).
fof(f183,plain,
one = addition(one,antidomain(antidomain(sK1))),
inference(superposition,[],[f113,f33]) ).
fof(f222,plain,
! [X0] : addition(one,X0) = addition(one,addition(antidomain(antidomain(sK1)),X0)),
inference(superposition,[],[f34,f183]) ).
fof(f270,plain,
! [X2,X0,X1] :
( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2))))))),divergence(X0)) != addition(antidomain(antidomain(X2)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2))))))),divergence(X0)))
| addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(divergence(X0))))))) = addition(antidomain(antidomain(X2)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(divergence(X0)))))))) ),
inference(superposition,[],[f70,f69]) ).
fof(f287,plain,
antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(sK0))),antidomain(divergence(sK0)))))))) = addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(sK0))),antidomain(divergence(sK0))))))))),
inference(superposition,[],[f145,f69]) ).
fof(f289,plain,
antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))) = addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero)))))),
inference(forward_demodulation,[],[f287,f44]) ).
fof(f336,plain,
addition(one,one) = addition(one,antidomain(sK1)),
inference(superposition,[],[f222,f46]) ).
fof(f346,plain,
one = addition(one,antidomain(sK1)),
inference(forward_demodulation,[],[f336,f36]) ).
fof(f924,plain,
! [X0] : addition(X0,one) = addition(one,addition(antidomain(sK1),X0)),
inference(superposition,[],[f104,f346]) ).
fof(f3223,plain,
! [X0] : addition(X0,one) = addition(one,addition(X0,one)),
inference(superposition,[],[f94,f924]) ).
fof(f3907,plain,
! [X0] : multiplication(antidomain(addition(X0,one)),addition(X0,one)) = multiplication(antidomain(addition(X0,one)),one),
inference(superposition,[],[f170,f3223]) ).
fof(f3910,plain,
! [X0] : antidomain(addition(X0,one)) = multiplication(antidomain(addition(X0,one)),addition(X0,one)),
inference(forward_demodulation,[],[f3907,f38]) ).
fof(f3926,plain,
! [X0] : zero = antidomain(addition(X0,one)),
inference(forward_demodulation,[],[f3910,f44]) ).
fof(f4192,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f46,f3926]) ).
fof(f5635,plain,
! [X0] :
( addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),divergence(X0)) != addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),divergence(X0))
| addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(divergence(X0))))))) = addition(antidomain(antidomain(sK1)),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(divergence(X0)))))))) ),
inference(superposition,[],[f270,f98]) ).
fof(f5637,plain,
! [X0] : addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(divergence(X0))))))) = addition(antidomain(antidomain(sK1)),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(divergence(X0)))))))),
inference(trivial_inequality_removal,[],[f5635]) ).
fof(f5808,plain,
one = antidomain(zero),
inference(superposition,[],[f4192,f35]) ).
fof(f6030,plain,
antidomain(one) = divergence(zero),
inference(superposition,[],[f141,f5808]) ).
fof(f6111,plain,
zero = divergence(zero),
inference(forward_demodulation,[],[f6030,f74]) ).
fof(f8077,plain,
antidomain(antidomain(multiplication(star(sK0),divergence(zero)))) = addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),divergence(zero))))),
inference(forward_demodulation,[],[f289,f141]) ).
fof(f8078,plain,
antidomain(antidomain(multiplication(star(sK0),zero))) = addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),zero)))),
inference(forward_demodulation,[],[f8077,f6111]) ).
fof(f8079,plain,
antidomain(antidomain(zero)) = addition(divergence(sK0),antidomain(antidomain(zero))),
inference(forward_demodulation,[],[f8078,f42]) ).
fof(f8080,plain,
divergence(zero) = addition(divergence(sK0),divergence(zero)),
inference(forward_demodulation,[],[f8079,f141]) ).
fof(f8081,plain,
zero = addition(divergence(sK0),zero),
inference(forward_demodulation,[],[f8080,f6111]) ).
fof(f8082,plain,
zero = divergence(sK0),
inference(superposition,[],[f8081,f35]) ).
fof(f10254,plain,
! [X0] : addition(zero,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(divergence(X0))))))) = addition(antidomain(antidomain(sK1)),addition(zero,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(divergence(X0)))))))),
inference(forward_demodulation,[],[f5637,f8082]) ).
fof(f10255,plain,
! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(divergence(X0)))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(divergence(X0))))))),
inference(forward_demodulation,[],[f10254,f80]) ).
fof(f10258,plain,
antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero)))))),
inference(superposition,[],[f10255,f8082]) ).
fof(f10278,plain,
antidomain(antidomain(multiplication(star(sK0),divergence(zero)))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),divergence(zero))))),
inference(forward_demodulation,[],[f10258,f141]) ).
fof(f10282,plain,
antidomain(antidomain(multiplication(star(sK0),zero))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),zero)))),
inference(forward_demodulation,[],[f10278,f6111]) ).
fof(f10286,plain,
antidomain(antidomain(zero)) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(zero))),
inference(forward_demodulation,[],[f10282,f42]) ).
fof(f10289,plain,
divergence(zero) = addition(antidomain(antidomain(sK1)),divergence(zero)),
inference(forward_demodulation,[],[f10286,f141]) ).
fof(f10292,plain,
zero = addition(antidomain(antidomain(sK1)),zero),
inference(forward_demodulation,[],[f10289,f6111]) ).
fof(f14186,plain,
zero = antidomain(antidomain(sK1)),
inference(superposition,[],[f35,f10292]) ).
fof(f14206,plain,
$false,
inference(forward_subsumption_resolution,[],[f14186,f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE132+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.43 % Computer : n026.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 13:15:11 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.22/0.47 Running first-order model finding
% 0.22/0.47 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.94/0.83 % (2842517)Will run a generic schedule for satisfiability detection.
% 1.94/0.83 % (2842523)% WARNING: option uhcvi not known.
% 1.94/0.83 % (2842523)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2104201572:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.94/0.83 % (2842522)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4005445565_2999 on theBenchmark for (2999ds/0Mi)
% 1.94/0.83 % TRYING [1]
% 1.94/0.83 % TRYING [2]
% 1.94/0.83 % (2842524)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3337789710:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.94/0.83 % (2842526)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2317626300:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.94/0.83 % (2842525)dis+10_1_sil=32000:sp=arity:random_seed=2911695339:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.94/0.83 % (2842527)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1620760143:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.94/0.83 % (2842528)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1273351565:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.94/0.83 % TRYING [3]
% 1.94/0.83 % TRYING [4]
% 1.94/0.83 % TRYING [5]
% 1.94/0.83 % (2842525)Instruction limit reached!
% 1.94/0.83 % (2842525)------------------------------
% 1.94/0.83 % (2842525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.83 % (2842525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.83 % (2842525)CaDiCaL version: 2.1.3
% 1.94/0.83 % (2842525)Termination reason: Instruction limit
% 1.94/0.83 % (2842525)Termination phase: Saturation
% 1.94/0.83 % (2842525)Time elapsed: 0.095 s
% 1.94/0.83 % (2842525)Peak memory usage: 12 MB
% 1.94/0.83 % (2842525)Instructions burned: 103 (million)
% 1.94/0.83 % (2842526)Instruction limit reached!
% 1.94/0.83 % (2842526)------------------------------
% 1.94/0.83 % (2842526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.83 % (2842526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.83 % (2842526)CaDiCaL version: 2.1.3
% 1.94/0.83 % (2842526)Termination reason: Instruction limit
% 1.94/0.83 % (2842526)Termination phase: Saturation
% 1.94/0.83 % (2842526)Time elapsed: 0.106 s
% 1.94/0.83 % (2842526)Peak memory usage: 13 MB
% 1.94/0.83 % (2842526)Instructions burned: 117 (million)
% 1.94/0.83 % (2842538)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=657088981:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.94/0.83 % (2842527)Instruction limit reached!
% 1.94/0.83 % (2842527)------------------------------
% 1.94/0.83 % (2842527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.83 % (2842527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.83 % (2842527)CaDiCaL version: 2.1.3
% 1.94/0.83 % (2842527)Termination reason: Instruction limit
% 1.94/0.83 % (2842527)Termination phase: Saturation
% 1.94/0.83 % (2842527)Time elapsed: 0.129 s
% 1.94/0.83 % (2842527)Peak memory usage: 13 MB
% 1.94/0.83 % (2842527)Instructions burned: 131 (million)
% 1.94/0.83 % (2842539)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3642163498:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.94/0.83 % TRYING [1]
% 1.94/0.83 % TRYING [2]
% 1.94/0.83 % TRYING [3]
% 1.94/0.83 % (2842528)Instruction limit reached!
% 1.94/0.83 % (2842528)------------------------------
% 1.94/0.83 % (2842528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.83 % (2842528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.83 % (2842528)CaDiCaL version: 2.1.3
% 1.94/0.83 % (2842528)Termination reason: Instruction limit
% 1.94/0.83 % (2842528)Termination phase: Saturation
% 1.94/0.83 % (2842528)Time elapsed: 0.157 s
% 1.94/0.83 % (2842528)Peak memory usage: 12 MB
% 1.94/0.83 % (2842528)Instructions burned: 159 (million)
% 1.94/0.83 % (2842543)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=1269464913:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.94/0.83 % TRYING [4]
% 1.94/0.83 % (2842546)ott-21_1_sil=16000:fs=off:random_seed=815534512:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.94/0.83 % TRYING [5]
% 1.94/0.83 % (2842539)Instruction limit reached!
% 1.94/0.83 % (2842539)------------------------------
% 1.94/0.83 % (2842539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.83 % (2842539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.83 % (2842539)CaDiCaL version: 2.1.3
% 1.94/0.83 % (2842539)Termination reason: Instruction limit
% 1.94/0.83 % (2842539)Termination phase: Saturation
% 1.94/0.83 % (2842539)Time elapsed: 0.133 s
% 1.94/0.83 % (2842539)Peak memory usage: 13 MB
% 1.94/0.83 % (2842539)Instructions burned: 132 (million)
% 1.94/0.83 % TRYING [6]
% 1.94/0.83 % (2842551)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1965418436:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 1.94/0.83 % (2842523) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2842517-2842523"...
% 1.94/0.83 % (2842523)...printing done.
% 1.94/0.83 % (2842546)Instruction limit reached!
% 1.94/0.83 % (2842546)------------------------------
% 1.94/0.83 % (2842546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.83 % (2842546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.83 % (2842546)CaDiCaL version: 2.1.3
% 1.94/0.83 % (2842546)Termination reason: Instruction limit
% 1.94/0.83 % (2842546)Termination phase: Saturation
% 1.94/0.83 % (2842546)Time elapsed: 0.112 s
% 1.94/0.83 % (2842546)Peak memory usage: 12 MB
% 1.94/0.83 % (2842546)Instructions burned: 180 (million)
% 1.94/0.83 % (2842523)Refutation found. Thanks to Tanya!
% 1.94/0.83 % SZS status Theorem for theBenchmark
% 1.94/0.83 % SZS output start Proof for theBenchmark
% See solution above
% 1.94/0.83 % (2842523)------------------------------
% 1.94/0.83 % (2842523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.83 % (2842523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.83 % (2842523)CaDiCaL version: 2.1.3
% 1.94/0.83 % (2842523)Termination reason: Refutation
% 1.94/0.83 % (2842523)Time elapsed: 0.318 s
% 1.94/0.83 % (2842523)Peak memory usage: 19 MB
% 1.94/0.83 % (2842523)Instructions burned: 730 (million)
% 1.94/0.83 % (2842517)Success in time 0.345 s
% 1.94/0.83 % Vampire exiting
%------------------------------------------------------------------------------