%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE101+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 : n013.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 11:40:53 AM UTC 2026
% Result : Theorem 30.86s 11.36s
% Output : Refutation 30.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 37
% Syntax : Number of formulae : 207 ( 203 unt; 16 def)
% Number of atoms : 211 ( 210 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 21 con; 0-2 aty)
% Number of variables : 132 ( 129 !; 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(f10,axiom,
! [X0] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_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(f18,axiom,
! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',codomain2) ).
fof(f19,axiom,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',codomain3) ).
fof(f20,axiom,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',codomain4) ).
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(f24,axiom,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+6.ax',backward_diamond) ).
fof(f27,conjecture,
! [X0,X1,X2] :
( multiplication(forward_diamond(X0,domain(X1)),domain(X2)) = zero
=> multiplication(domain(X1),backward_diamond(X0,domain(X2))) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f28,negated_conjecture,
~ ! [X0,X1,X2] :
( multiplication(forward_diamond(X0,domain(X1)),domain(X2)) = zero
=> multiplication(domain(X1),backward_diamond(X0,domain(X2))) = zero ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
? [X0,X1,X2] :
( zero != multiplication(domain(X1),backward_diamond(X0,domain(X2)))
& multiplication(forward_diamond(X0,domain(X1)),domain(X2)) = zero ),
inference(ennf_transformation,[],[f28]) ).
fof(f30,plain,
( zero != multiplication(domain(sK1),backward_diamond(sK0,domain(sK2)))
& zero = multiplication(forward_diamond(sK0,domain(sK1)),domain(sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f29]) ).
fof(f31,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f32,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f33,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f34,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f35,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f36,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f37,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f39,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(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f42,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f43,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(f44,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f45,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f46,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f47,plain,
! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(cnf_transformation,[],[f18]) ).
fof(f48,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f19]) ).
fof(f49,plain,
! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
inference(cnf_transformation,[],[f20]) ).
fof(f52,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f23]) ).
fof(f53,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f56,plain,
zero = multiplication(forward_diamond(sK0,domain(sK1)),domain(sK2)),
inference(cnf_transformation,[],[f30]) ).
fof(f57,plain,
zero != multiplication(domain(sK1),backward_diamond(sK0,domain(sK2))),
inference(cnf_transformation,[],[f30]) ).
fof(f59,plain,
! [X0,X1] : backward_diamond(X0,X1) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X1)),X0))),
inference(definition_unfolding,[],[f53,f49,f49]) ).
fof(f62,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f52,f45,f45]) ).
fof(f64,plain,
zero != multiplication(antidomain(antidomain(sK1)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(sK2)))),sK0)))),
inference(definition_unfolding,[],[f57,f45,f59,f45]) ).
fof(f65,plain,
zero = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(sK2))),
inference(definition_unfolding,[],[f56,f62,f45,f45]) ).
fof(f66,definition,
sF3 = antidomain(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f67,plain,
antidomain(sK1) = sF3,
inference(reorient_equations,[],[f66]) ).
fof(f68,definition,
sF4 = antidomain(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f69,plain,
antidomain(sF3) = sF4,
inference(reorient_equations,[],[f68]) ).
fof(f70,definition,
sF5 = antidomain(sK2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f71,plain,
antidomain(sK2) = sF5,
inference(reorient_equations,[],[f70]) ).
fof(f72,definition,
sF6 = antidomain(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f73,plain,
antidomain(sF5) = sF6,
inference(reorient_equations,[],[f72]) ).
fof(f74,definition,
sF7 = coantidomain(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f75,plain,
coantidomain(sF6) = sF7,
inference(reorient_equations,[],[f74]) ).
fof(f76,definition,
sF8 = coantidomain(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f77,plain,
coantidomain(sF7) = sF8,
inference(reorient_equations,[],[f76]) ).
fof(f78,definition,
sF9 = multiplication(sF8,sK0),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f79,plain,
multiplication(sF8,sK0) = sF9,
inference(reorient_equations,[],[f78]) ).
fof(f80,definition,
sF10 = coantidomain(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f81,plain,
coantidomain(sF9) = sF10,
inference(reorient_equations,[],[f80]) ).
fof(f82,definition,
sF11 = coantidomain(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f83,plain,
coantidomain(sF10) = sF11,
inference(reorient_equations,[],[f82]) ).
fof(f84,definition,
sF12 = multiplication(sF4,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f85,plain,
multiplication(sF4,sF11) = sF12,
inference(reorient_equations,[],[f84]) ).
fof(f86,plain,
zero != sF12,
inference(definition_folding,[],[f64,f85,f83,f81,f79,f77,f75,f73,f71,f69,f67]) ).
fof(f87,definition,
sF13 = antidomain(sF4),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f88,plain,
antidomain(sF4) = sF13,
inference(reorient_equations,[],[f87]) ).
fof(f89,definition,
sF14 = antidomain(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f90,plain,
antidomain(sF13) = sF14,
inference(reorient_equations,[],[f89]) ).
fof(f91,definition,
sF15 = multiplication(sK0,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f92,plain,
multiplication(sK0,sF14) = sF15,
inference(reorient_equations,[],[f91]) ).
fof(f93,definition,
sF16 = antidomain(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f94,plain,
antidomain(sF15) = sF16,
inference(reorient_equations,[],[f93]) ).
fof(f95,definition,
sF17 = antidomain(sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f96,plain,
antidomain(sF16) = sF17,
inference(reorient_equations,[],[f95]) ).
fof(f97,definition,
sF18 = multiplication(sF17,sF6),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f98,plain,
multiplication(sF17,sF6) = sF18,
inference(reorient_equations,[],[f97]) ).
fof(f99,plain,
zero = sF18,
inference(definition_folding,[],[f65,f98,f73,f71,f96,f94,f92,f90,f88,f69,f67]) ).
fof(f100,plain,
zero = multiplication(sF17,sF6),
inference(forward_demodulation,[],[f98,f99]) ).
fof(f105,plain,
zero = multiplication(sF6,sF5),
inference(superposition,[],[f42,f73]) ).
fof(f107,plain,
zero = multiplication(sF16,sF15),
inference(superposition,[],[f42,f94]) ).
fof(f116,plain,
zero = coantidomain(one),
inference(superposition,[],[f37,f46]) ).
fof(f121,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f33,f31]) ).
fof(f124,plain,
one = addition(antidomain(sF3),sF3),
inference(superposition,[],[f44,f67]) ).
fof(f125,plain,
one = addition(antidomain(sF5),sF5),
inference(superposition,[],[f44,f71]) ).
fof(f126,plain,
one = addition(antidomain(sF4),sF4),
inference(superposition,[],[f44,f69]) ).
fof(f129,plain,
one = addition(antidomain(sF14),sF14),
inference(superposition,[],[f44,f90]) ).
fof(f130,plain,
one = addition(antidomain(sF16),sF16),
inference(superposition,[],[f44,f94]) ).
fof(f131,plain,
one = addition(antidomain(sF17),sF17),
inference(superposition,[],[f44,f96]) ).
fof(f136,plain,
one = addition(sF17,antidomain(sF17)),
inference(forward_demodulation,[],[f131,f31]) ).
fof(f137,plain,
one = addition(sF16,antidomain(sF16)),
inference(forward_demodulation,[],[f130,f31]) ).
fof(f138,plain,
one = addition(sF14,antidomain(sF14)),
inference(forward_demodulation,[],[f129,f31]) ).
fof(f141,plain,
one = addition(sF4,antidomain(sF4)),
inference(forward_demodulation,[],[f126,f31]) ).
fof(f142,plain,
one = addition(sF5,antidomain(sF5)),
inference(forward_demodulation,[],[f125,f31]) ).
fof(f143,plain,
one = addition(sF3,antidomain(sF3)),
inference(forward_demodulation,[],[f124,f31]) ).
fof(f145,plain,
one = addition(sF16,sF17),
inference(forward_demodulation,[],[f137,f96]) ).
fof(f147,plain,
one = addition(sF4,sF13),
inference(forward_demodulation,[],[f141,f88]) ).
fof(f148,plain,
one = addition(sF5,sF6),
inference(forward_demodulation,[],[f142,f73]) ).
fof(f149,plain,
one = addition(sF3,sF4),
inference(forward_demodulation,[],[f143,f69]) ).
fof(f150,plain,
one = addition(sF6,sF5),
inference(forward_demodulation,[],[f148,f31]) ).
fof(f151,plain,
one = addition(sF4,sF3),
inference(forward_demodulation,[],[f149,f31]) ).
fof(f156,plain,
one = addition(coantidomain(zero),zero),
inference(superposition,[],[f48,f116]) ).
fof(f159,plain,
one = addition(coantidomain(sF10),sF10),
inference(superposition,[],[f48,f81]) ).
fof(f160,plain,
one = addition(coantidomain(sF11),sF11),
inference(superposition,[],[f48,f83]) ).
fof(f164,plain,
! [X0] : one = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(superposition,[],[f31,f48]) ).
fof(f165,plain,
one = addition(sF11,coantidomain(sF11)),
inference(forward_demodulation,[],[f160,f31]) ).
fof(f166,plain,
one = addition(sF10,coantidomain(sF10)),
inference(forward_demodulation,[],[f159,f31]) ).
fof(f169,plain,
one = coantidomain(zero),
inference(forward_demodulation,[],[f156,f33]) ).
fof(f170,plain,
one = addition(sF10,sF11),
inference(forward_demodulation,[],[f166,f83]) ).
fof(f177,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f32,f34]) ).
fof(f179,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f32,f31]) ).
fof(f190,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f31,f32]) ).
fof(f205,plain,
! [X0] : multiplication(sF8,multiplication(sK0,X0)) = multiplication(sF9,X0),
inference(superposition,[],[f35,f79]) ).
fof(f229,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f38,f36]) ).
fof(f235,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = addition(zero,multiplication(antidomain(X0),X1)),
inference(superposition,[],[f38,f42]) ).
fof(f240,plain,
! [X0] : multiplication(sF17,addition(sF6,X0)) = addition(zero,multiplication(sF17,X0)),
inference(superposition,[],[f38,f100]) ).
fof(f248,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f38,f42]) ).
fof(f268,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)),
inference(forward_demodulation,[],[f248,f33]) ).
fof(f276,plain,
! [X0] : multiplication(sF17,addition(sF6,X0)) = multiplication(sF17,X0),
inference(forward_demodulation,[],[f240,f121]) ).
fof(f278,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1),
inference(forward_demodulation,[],[f235,f121]) ).
fof(f305,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f39,f37]) ).
fof(f316,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = addition(multiplication(X0,coantidomain(X1)),zero),
inference(superposition,[],[f39,f46]) ).
fof(f336,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X1,X2),multiplication(X0,X2)),
inference(superposition,[],[f31,f39]) ).
fof(f349,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = multiplication(X0,coantidomain(X1)),
inference(forward_demodulation,[],[f316,f33]) ).
fof(f403,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = addition(antidomain(multiplication(one,X0)),antidomain(antidomain(antidomain(X0)))),
inference(superposition,[],[f43,f37]) ).
fof(f407,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = addition(antidomain(X0),antidomain(antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f403,f37]) ).
fof(f471,plain,
! [X0] : coantidomain(multiplication(coantidomain(sF7),X0)) = addition(coantidomain(multiplication(sF6,X0)),coantidomain(multiplication(coantidomain(sF7),X0))),
inference(superposition,[],[f47,f75]) ).
fof(f473,plain,
! [X0] : coantidomain(multiplication(coantidomain(sF10),X0)) = addition(coantidomain(multiplication(sF9,X0)),coantidomain(multiplication(coantidomain(sF10),X0))),
inference(superposition,[],[f47,f81]) ).
fof(f475,plain,
! [X0] : coantidomain(coantidomain(coantidomain(X0))) = addition(coantidomain(multiplication(X0,one)),coantidomain(coantidomain(coantidomain(X0)))),
inference(superposition,[],[f47,f36]) ).
fof(f481,plain,
! [X0] : coantidomain(coantidomain(coantidomain(X0))) = addition(coantidomain(X0),coantidomain(coantidomain(coantidomain(X0)))),
inference(forward_demodulation,[],[f475,f36]) ).
fof(f482,plain,
! [X0] : coantidomain(multiplication(sF11,X0)) = addition(coantidomain(multiplication(sF9,X0)),coantidomain(multiplication(sF11,X0))),
inference(forward_demodulation,[],[f473,f83]) ).
fof(f483,plain,
! [X0] : coantidomain(multiplication(sF8,X0)) = addition(coantidomain(multiplication(sF6,X0)),coantidomain(multiplication(sF8,X0))),
inference(forward_demodulation,[],[f471,f77]) ).
fof(f717,plain,
! [X0] : addition(multiplication(sF6,X0),zero) = multiplication(sF6,addition(X0,sF5)),
inference(superposition,[],[f38,f105]) ).
fof(f726,plain,
! [X0] : multiplication(sF6,X0) = multiplication(sF6,addition(X0,sF5)),
inference(forward_demodulation,[],[f717,f33]) ).
fof(f1162,plain,
multiplication(sF17,one) = multiplication(sF17,sF5),
inference(superposition,[],[f276,f150]) ).
fof(f1164,plain,
sF17 = multiplication(sF17,sF5),
inference(forward_demodulation,[],[f1162,f36]) ).
fof(f1618,plain,
! [X0] : one = addition(coantidomain(X0),one),
inference(superposition,[],[f177,f164]) ).
fof(f1620,plain,
one = addition(sF4,one),
inference(superposition,[],[f177,f151]) ).
fof(f1630,plain,
one = addition(sF14,one),
inference(superposition,[],[f177,f138]) ).
fof(f1632,plain,
one = addition(sF17,one),
inference(superposition,[],[f177,f136]) ).
fof(f1646,plain,
one = addition(one,sF17),
inference(forward_demodulation,[],[f1632,f31]) ).
fof(f1648,plain,
one = addition(one,sF14),
inference(forward_demodulation,[],[f1630,f31]) ).
fof(f1657,plain,
one = addition(one,sF4),
inference(forward_demodulation,[],[f1620,f31]) ).
fof(f1659,plain,
! [X0] : one = addition(one,coantidomain(X0)),
inference(forward_demodulation,[],[f1618,f31]) ).
fof(f1783,plain,
multiplication(sF9,sF14) = multiplication(sF8,sF15),
inference(superposition,[],[f205,f92]) ).
fof(f3797,plain,
multiplication(antidomain(sF13),sF4) = multiplication(antidomain(sF13),one),
inference(superposition,[],[f268,f147]) ).
fof(f3850,plain,
antidomain(sF13) = multiplication(antidomain(sF13),sF4),
inference(forward_demodulation,[],[f3797,f36]) ).
fof(f3872,plain,
sF14 = multiplication(sF14,sF4),
inference(forward_demodulation,[],[f3850,f90]) ).
fof(f4529,plain,
multiplication(addition(one,sF17),sF5) = addition(sF5,sF17),
inference(superposition,[],[f305,f1164]) ).
fof(f4606,plain,
addition(sF5,sF17) = multiplication(one,sF5),
inference(forward_demodulation,[],[f4529,f1646]) ).
fof(f4702,plain,
sF5 = addition(sF5,sF17),
inference(forward_demodulation,[],[f4606,f37]) ).
fof(f4827,plain,
! [X0] : addition(sF5,X0) = addition(sF17,addition(sF5,X0)),
inference(superposition,[],[f179,f4702]) ).
fof(f4835,plain,
! [X0] : addition(sF5,X0) = addition(sF5,addition(X0,sF17)),
inference(forward_demodulation,[],[f4827,f190]) ).
fof(f5917,plain,
! [X0,X1] : multiplication(X0,coantidomain(addition(X0,X1))) = multiplication(addition(X0,X1),coantidomain(addition(X0,X1))),
inference(superposition,[],[f349,f177]) ).
fof(f5951,plain,
multiplication(sF10,coantidomain(sF11)) = multiplication(one,coantidomain(sF11)),
inference(superposition,[],[f349,f170]) ).
fof(f6022,plain,
coantidomain(sF11) = multiplication(sF10,coantidomain(sF11)),
inference(forward_demodulation,[],[f5951,f37]) ).
fof(f6052,plain,
! [X0,X1] : zero = multiplication(X0,coantidomain(addition(X0,X1))),
inference(forward_demodulation,[],[f5917,f46]) ).
fof(f6738,plain,
antidomain(antidomain(sF4)) = addition(sF4,antidomain(antidomain(sF4))),
inference(superposition,[],[f407,f69]) ).
fof(f6768,plain,
antidomain(sF13) = addition(sF4,antidomain(sF13)),
inference(forward_demodulation,[],[f6738,f88]) ).
fof(f6777,plain,
sF14 = addition(sF4,sF14),
inference(forward_demodulation,[],[f6768,f90]) ).
fof(f6834,plain,
coantidomain(coantidomain(sF10)) = addition(sF10,coantidomain(coantidomain(sF10))),
inference(superposition,[],[f481,f81]) ).
fof(f6856,plain,
coantidomain(sF11) = addition(sF10,coantidomain(sF11)),
inference(forward_demodulation,[],[f6834,f83]) ).
fof(f9047,plain,
addition(sF5,one) = addition(sF5,sF16),
inference(superposition,[],[f4835,f145]) ).
fof(f9075,plain,
addition(one,sF5) = addition(sF5,sF16),
inference(forward_demodulation,[],[f9047,f31]) ).
fof(f9167,plain,
multiplication(antidomain(sF5),addition(one,sF5)) = multiplication(antidomain(sF5),sF16),
inference(superposition,[],[f278,f9075]) ).
fof(f9171,plain,
multiplication(sF6,addition(one,sF5)) = multiplication(sF6,sF16),
inference(forward_demodulation,[],[f9167,f73]) ).
fof(f9178,plain,
multiplication(sF6,one) = multiplication(sF6,sF16),
inference(forward_demodulation,[],[f9171,f726]) ).
fof(f9182,plain,
sF6 = multiplication(sF6,sF16),
inference(forward_demodulation,[],[f9178,f36]) ).
fof(f9252,plain,
! [X0] : multiplication(sF6,X0) = multiplication(sF6,multiplication(sF16,X0)),
inference(superposition,[],[f35,f9182]) ).
fof(f41042,plain,
multiplication(sF6,zero) = multiplication(sF6,sF15),
inference(superposition,[],[f9252,f107]) ).
fof(f41146,plain,
zero = multiplication(sF6,sF15),
inference(forward_demodulation,[],[f41042,f40]) ).
fof(f41408,plain,
coantidomain(multiplication(sF8,sF15)) = addition(coantidomain(zero),coantidomain(multiplication(sF8,sF15))),
inference(superposition,[],[f483,f41146]) ).
fof(f41486,plain,
coantidomain(multiplication(sF8,sF15)) = addition(one,coantidomain(multiplication(sF8,sF15))),
inference(forward_demodulation,[],[f41408,f169]) ).
fof(f41511,plain,
one = coantidomain(multiplication(sF8,sF15)),
inference(forward_demodulation,[],[f41486,f1659]) ).
fof(f50527,plain,
addition(sF4,sF14) = multiplication(addition(one,sF14),sF4),
inference(superposition,[],[f305,f3872]) ).
fof(f50545,plain,
multiplication(one,sF4) = addition(sF4,sF14),
inference(forward_demodulation,[],[f50527,f1648]) ).
fof(f50561,plain,
sF14 = multiplication(one,sF4),
inference(forward_demodulation,[],[f50545,f6777]) ).
fof(f50571,plain,
sF4 = sF14,
inference(forward_demodulation,[],[f50561,f37]) ).
fof(f59471,plain,
coantidomain(multiplication(sF11,sF14)) = addition(coantidomain(multiplication(sF8,sF15)),coantidomain(multiplication(sF11,sF14))),
inference(superposition,[],[f482,f1783]) ).
fof(f59538,plain,
coantidomain(multiplication(sF11,sF4)) = addition(coantidomain(multiplication(sF8,sF15)),coantidomain(multiplication(sF11,sF4))),
inference(forward_demodulation,[],[f59471,f50571]) ).
fof(f59569,plain,
coantidomain(multiplication(sF11,sF4)) = addition(one,coantidomain(multiplication(sF11,sF4))),
inference(forward_demodulation,[],[f59538,f41511]) ).
fof(f59595,plain,
one = coantidomain(multiplication(sF11,sF4)),
inference(forward_demodulation,[],[f59569,f1659]) ).
fof(f60720,plain,
zero = multiplication(multiplication(sF11,sF4),one),
inference(superposition,[],[f46,f59595]) ).
fof(f60751,plain,
zero = multiplication(sF11,sF4),
inference(forward_demodulation,[],[f60720,f36]) ).
fof(f60884,plain,
! [X0] : addition(multiplication(X0,sF4),zero) = multiplication(addition(sF11,X0),sF4),
inference(superposition,[],[f336,f60751]) ).
fof(f60897,plain,
! [X0] : multiplication(X0,sF4) = multiplication(addition(sF11,X0),sF4),
inference(forward_demodulation,[],[f60884,f33]) ).
fof(f63151,plain,
addition(sF10,coantidomain(sF11)) = multiplication(sF10,addition(one,coantidomain(sF11))),
inference(superposition,[],[f229,f6022]) ).
fof(f63187,plain,
multiplication(sF10,one) = addition(sF10,coantidomain(sF11)),
inference(forward_demodulation,[],[f63151,f1659]) ).
fof(f63202,plain,
coantidomain(sF11) = multiplication(sF10,one),
inference(forward_demodulation,[],[f63187,f6856]) ).
fof(f63208,plain,
sF10 = coantidomain(sF11),
inference(forward_demodulation,[],[f63202,f36]) ).
fof(f79610,plain,
multiplication(one,sF4) = multiplication(coantidomain(sF11),sF4),
inference(superposition,[],[f60897,f165]) ).
fof(f79709,plain,
multiplication(one,sF4) = multiplication(sF10,sF4),
inference(forward_demodulation,[],[f79610,f63208]) ).
fof(f79730,plain,
sF4 = multiplication(sF10,sF4),
inference(forward_demodulation,[],[f79709,f37]) ).
fof(f79945,plain,
addition(sF10,sF4) = multiplication(sF10,addition(one,sF4)),
inference(superposition,[],[f229,f79730]) ).
fof(f79981,plain,
multiplication(sF10,one) = addition(sF10,sF4),
inference(forward_demodulation,[],[f79945,f1657]) ).
fof(f79999,plain,
multiplication(sF10,one) = addition(sF4,sF10),
inference(forward_demodulation,[],[f79981,f31]) ).
fof(f80012,plain,
sF10 = addition(sF4,sF10),
inference(forward_demodulation,[],[f79999,f36]) ).
fof(f80176,plain,
zero = multiplication(sF4,coantidomain(sF10)),
inference(superposition,[],[f6052,f80012]) ).
fof(f80177,plain,
zero = multiplication(sF4,sF11),
inference(forward_demodulation,[],[f80176,f83]) ).
fof(f80301,plain,
zero = sF12,
inference(superposition,[],[f85,f80177]) ).
fof(f80375,plain,
$false,
inference(forward_subsumption_resolution,[],[f80301,f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE101+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n013.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 13:09:22 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 45.93/7.00 % (216113)Will run a generic schedule for satisfiability detection.
% 45.93/7.00 % (216118)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=917728537_2999 on theBenchmark for (2999ds/0Mi)
% 45.93/7.00 % TRYING [1]
% 45.93/7.00 % TRYING [2]
% 45.93/7.00 % TRYING [3]
% 45.93/7.00 % (216119)% WARNING: option uhcvi not known.
% 45.93/7.00 % TRYING [4]
% 45.93/7.00 % (216121)dis+10_1_sil=32000:sp=arity:random_seed=1470229283:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 45.93/7.00 % (216120)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1598486921:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 45.93/7.00 % (216122)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=674360598:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 45.93/7.00 % (216119)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=559404372:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 45.93/7.00 % (216124)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=640851660:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 45.93/7.00 % (216123)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=66309574:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 45.93/7.00 % TRYING [5]
% 45.93/7.00 % (216121)Instruction limit reached!
% 45.93/7.00 % (216121)------------------------------
% 45.93/7.00 % (216121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.93/7.00 % (216121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.93/7.00 % (216121)CaDiCaL version: 2.1.3
% 45.93/7.00 % (216121)Termination reason: Instruction limit
% 45.93/7.00 % (216121)Termination phase: Saturation
% 45.93/7.00 % (216121)Time elapsed: 0.098 s
% 45.93/7.00 % (216121)Peak memory usage: 12 MB
% 45.93/7.00 % (216121)Instructions burned: 103 (million)
% 45.93/7.00 % TRYING [6]
% 45.93/7.00 % (216122)Instruction limit reached!
% 45.93/7.00 % (216122)------------------------------
% 45.93/7.00 % (216122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.93/7.00 % (216122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.93/7.00 % (216122)CaDiCaL version: 2.1.3
% 45.93/7.00 % (216122)Termination reason: Instruction limit
% 45.93/7.00 % (216122)Termination phase: Saturation
% 45.93/7.00 % (216122)Time elapsed: 0.114 s
% 45.93/7.00 % (216122)Peak memory usage: 13 MB
% 45.93/7.00 % (216122)Instructions burned: 117 (million)
% 45.93/7.00 % (216123)Instruction limit reached!
% 45.93/7.00 % (216123)------------------------------
% 45.93/7.00 % (216123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.93/7.00 % (216123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.93/7.00 % (216123)CaDiCaL version: 2.1.3
% 45.93/7.00 % (216123)Termination reason: Instruction limit
% 45.93/7.00 % (216123)Termination phase: Saturation
% 45.93/7.00 % (216123)Time elapsed: 0.132 s
% 45.93/7.00 % (216123)Peak memory usage: 13 MB
% 45.93/7.00 % (216123)Instructions burned: 131 (million)
% 45.93/7.00 % (216132)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1734071977:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 45.93/7.00 % TRYING [1]
% 45.93/7.00 % TRYING [2]
% 45.93/7.00 % TRYING [3]
% 45.93/7.00 % (216133)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=175133052:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 45.93/7.00 % TRYING [4]
% 45.93/7.00 % (216124)Instruction limit reached!
% 45.93/7.00 % (216124)------------------------------
% 45.93/7.00 % (216124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.93/7.00 % (216124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.93/7.00 % (216124)CaDiCaL version: 2.1.3
% 45.93/7.00 % (216124)Termination reason: Instruction limit
% 45.93/7.00 % (216124)Termination phase: Saturation
% 45.93/7.00 % (216124)Time elapsed: 0.163 s
% 45.93/7.00 % (216124)Peak memory usage: 13 MB
% 45.93/7.00 % (216124)Instructions burned: 160 (million)
% 45.93/7.00 % (216134)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=3048188102:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 45.93/7.00 % (216137)ott-21_1_sil=16000:fs=off:random_seed=1582335211:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 45.93/7.00 % TRYING [5]
% 45.93/7.00 % (216133)Instruction limit reached!
% 45.93/7.00 % (216133)------------------------------
% 45.93/7.00 % (216133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.93/7.00 % (216133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/11.36 % (216133)CaDiCaL version: 2.1.3
% 30.86/11.36 % (216133)Termination reason: Instruction limit
% 30.86/11.36 % (216133)Termination phase: Saturation
% 30.86/11.36 % (216133)Time elapsed: 0.137 s
% 30.86/11.36 % (216133)Peak memory usage: 13 MB
% 30.86/11.36 % (216133)Instructions burned: 132 (million)
% 30.86/11.36 % (216140)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=466881881:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 30.86/11.36 % (216137)Instruction limit reached!
% 30.86/11.36 % (216137)------------------------------
% 30.86/11.36 % (216137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/11.36 % (216137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/11.36 % (216137)CaDiCaL version: 2.1.3
% 30.86/11.36 % (216137)Termination reason: Instruction limit
% 30.86/11.36 % (216137)Termination phase: Saturation
% 30.86/11.36 % (216137)Time elapsed: 0.149 s
% 30.86/11.36 % (216137)Peak memory usage: 12 MB
% 30.86/11.36 % (216137)Instructions burned: 181 (million)
% 30.86/11.36 % TRYING [6]
% 30.86/11.36 % (216142)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1495347185:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 30.86/11.36 % TRYING [1]
% 30.86/11.36 % TRYING [2]
% 30.86/11.36 % TRYING [3]
% 30.86/11.36 % TRYING [4]
% 30.86/11.36 % TRYING [5]
% 30.86/11.36 % TRYING [7]
% 30.86/11.36 % (216132)Instruction limit reached!
% 30.86/11.36 % (216132)------------------------------
% 30.86/11.36 % (216132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/11.36 % (216132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/11.36 % (216132)CaDiCaL version: 2.1.3
% 30.86/11.36 % (216132)Termination reason: Instruction limit
% 30.86/11.36 % (216132)Termination phase: Finite model building SAT solving
% 30.86/11.36 % (216132)Time elapsed: 0.547 s
% 30.86/11.36 % (216132)Peak memory usage: 34 MB
% 30.86/11.36 % (216132)Instructions burned: 714 (million)
% 30.86/11.36 % (216144)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2777458640:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 30.86/11.36 % (216140)Instruction limit reached!
% 30.86/11.36 % (216140)------------------------------
% 30.86/11.36 % (216140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/11.36 % (216140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/11.36 % (216140)CaDiCaL version: 2.1.3
% 30.86/11.36 % (216140)Termination reason: Instruction limit
% 30.86/11.36 % (216140)Termination phase: Saturation
% 30.86/11.36 % (216140)Time elapsed: 0.446 s
% 30.86/11.36 % (216140)Peak memory usage: 16 MB
% 30.86/11.36 % (216140)Instructions burned: 477 (million)
% 30.86/11.36 % (216134)Instruction limit reached!
% 30.86/11.36 % (216134)------------------------------
% 30.86/11.36 % (216134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/11.36 % (216134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/11.36 % (216134)CaDiCaL version: 2.1.3
% 30.86/11.36 % (216134)Termination reason: Instruction limit
% 30.86/11.36 % (216134)Termination phase: Saturation
% 30.86/11.36 % (216134)Time elapsed: 0.625 s
% 30.86/11.36 % (216134)Peak memory usage: 19 MB
% 30.86/11.36 % (216134)Instructions burned: 685 (million)
% 30.86/11.36 % (216146)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2528647218:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 30.86/11.36 % (216147)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=2482274180:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 30.86/11.36 % TRYING [6]
% 30.86/11.36 % (216142)Instruction limit reached!
% 30.86/11.36 % (216142)------------------------------
% 30.86/11.36 % (216142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/11.36 % (216142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/11.36 % (216142)CaDiCaL version: 2.1.3
% 30.86/11.36 % (216142)Termination reason: Instruction limit
% 30.86/11.36 % (216142)Termination phase: Finite model building constraint generation
% 30.86/11.36 % (216142)Time elapsed: 0.648 s
% 30.86/11.36 % (216142)Peak memory usage: 26 MB
% 30.86/11.36 % (216142)Instructions burned: 865 (million)
% 30.86/11.36 % (216150)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3962584393:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 30.86/11.36 % TRYING [14]
% 30.86/11.36 % (216146)Instruction limit reached!
% 30.86/11.36 % (216146)------------------------------
% 30.86/11.36 % (216146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/11.36 % (216146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/11.36 % (216146)CaDiCaL version: 2.1.3
% 30.86/11.36 % (216146)Termination reason: Instruction limit
% 30.86/11.36 % (216146)Termination phase: Finite model building constraint generation
% 30.86/11.36 % (216146)Time elapsed: 0.651 s
% 30.86/11.36 % (216146)Peak memory usage: 81 MB
% 30.86/11.36 % (216146)Instructions burned: 889 (million)
% 30.86/11.36 % (216147)Instruction limit reached!
% 30.86/11.36 % (216147)------------------------------
% 30.86/11.36 % (216147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/11.36 % (216147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/11.36 % (216147)CaDiCaL version: 2.1.3
% 30.86/11.36 % (216147)Termination reason: Instruction limit
% 30.86/11.36 % (216147)Termination phase: Saturation
% 30.86/11.36 % (216147)Time elapsed: 0.675 s
% 30.86/11.36 % (216147)Peak memory usage: 19 MB
% 30.86/11.36 % (216147)Instructions burned: 692 (million)
% 30.86/11.36 % (216152)fmb+10_1_sil=64000:random_seed=1510985149:i=22061:nm=2:gsp=on_2984 on theBenchmark for (2984ds/22061Mi)
% 30.86/11.36 % TRYING [1]
% 30.86/11.36 % TRYING [2]
% 30.86/11.36 % TRYING [3]
% 30.86/11.36 % TRYING [4]
% 30.86/11.36 % (216153)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2013371356:i=9515:nm=5_2984 on theBenchmark for (2984ds/9515Mi)
% 30.86/11.36 % TRYING [20]
% 30.86/11.36 % TRYING [5]
% 30.86/11.36 % (216144)Instruction limit reached!
% 30.86/11.36 % (216144)------------------------------
% 30.86/11.36 % (216144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/11.36 % (216150)Instruction limit reached!
% 30.86/11.36 % (216150)------------------------------
% 30.86/11.36 % (216150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/11.36 % (216144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/11.36 % (216150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/11.36 % (216150)CaDiCaL version: 2.1.3
% 30.86/11.36 % (216144)CaDiCaL version: 2.1.3
% 30.86/11.36 % (216150)Termination reason: Instruction limit
% 30.86/11.36 % (216150)Termination phase: Saturation
% 30.86/11.36 % (216144)Termination reason: Instruction limit
% 30.86/11.36 % (216144)Termination phase: Saturation
% 30.86/11.36 % (216150)Time elapsed: 0.790 s
% 30.86/11.36 % (216144)Time elapsed: 1.139 s
% 30.86/11.36 % (216150)Peak memory usage: 18 MB
% 30.86/11.36 % (216144)Peak memory usage: 22 MB
% 30.86/11.36 % (216150)Instructions burned: 880 (million)
% 30.86/11.36 % (216144)Instructions burned: 1180 (million)
% 30.86/11.36 % (216156)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3535501000:fmbsr=1.7:i=920_2980 on theBenchmark for (2980ds/920Mi)
% 30.86/11.36 % TRYING [8]
% 30.86/11.36 % (216157)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3308958894:i=5131_2980 on theBenchmark for (2980ds/5131Mi)
% 30.86/11.36 % TRYING [6]
% 30.86/11.36 % TRYING [8]
% 30.86/11.36 % (216156)Instruction limit reached!
% 30.86/11.36 % (216156)------------------------------
% 30.86/11.36 % (216156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/11.36 % (216156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/11.36 % (216156)CaDiCaL version: 2.1.3
% 30.86/11.36 % (216156)Termination reason: Instruction limit
% 30.86/11.36 % (216156)Termination phase: Finite model building constraint generation
% 30.86/11.36 % (216156)Time elapsed: 0.680 s
% 30.86/11.36 % (216156)Peak memory usage: 69 MB
% 30.86/11.36 % (216156)Instructions burned: 921 (million)
% 30.86/11.36 % (216160)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=880732949:i=1472:ins=7:fdi=8:gsp=on_2973 on theBenchmark for (2973ds/1472Mi)
% 30.86/11.36 % TRYING [7]
% 30.86/11.36 % (216160)Instruction limit reached!
% 30.86/11.36 % (216160)------------------------------
% 30.86/11.36 % (216160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/11.36 % (216160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/11.36 % (216160)CaDiCaL version: 2.1.3
% 30.86/11.36 % (216160)Termination reason: Instruction limit
% 30.86/11.36 % (216160)Termination phase: Saturation
% 30.86/11.36 % (216160)Time elapsed: 1.415 s
% 30.86/11.36 % (216160)Peak memory usage: 29 MB
% 30.86/11.36 % (216160)Instructions burned: 1473 (million)
% 30.86/11.36 % (216162)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3326376089:i=6324_2958 on theBenchmark for (2958ds/6324Mi)
% 30.86/11.36 % TRYING [77]
% 30.86/11.36 % TRYING [8]
% 30.86/11.36 % (216157)Instruction limit reached!
% 30.86/11.36 % (216157)------------------------------
% 30.86/11.36 % (216157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/11.36 % (216157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/11.36 % (216157)CaDiCaL version: 2.1.3
% 30.86/11.36 % (216157)Termination reason: Instruction limit
% 30.86/11.36 % (216157)Termination phase: Saturation
% 30.86/11.36 % (216157)Time elapsed: 4.582 s
% 30.86/11.36 % (216157)Peak memory usage: 44 MB
% 30.86/11.36 % (216157)Instructions burned: 5132 (million)
% 30.86/11.36 % (216164)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1399944813:fmbsr=2.30978:i=2174_2934 on theBenchmark for (2934ds/2174Mi)
% 30.86/11.36 % TRYING [16]
% 30.86/11.36 % (216153)Instruction limit reached!
% 30.86/11.36 % (216153)------------------------------
% 30.86/11.36 % (216153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/11.36 % (216153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/11.36 % (216153)CaDiCaL version: 2.1.3
% 30.86/11.36 % (216153)Termination reason: Instruction limit
% 30.86/11.36 % (216153)Termination phase: Finite model building constraint generation
% 30.86/11.36 % (216153)Time elapsed: 6.395 s
% 30.86/11.36 % (216153)Peak memory usage: 611 MB
% 30.86/11.36 % (216153)Instructions burned: 9515 (million)
% 30.86/11.36 % (216164)Instruction limit reached!
% 30.86/11.36 % (216164)------------------------------
% 30.86/11.36 % (216164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/11.36 % (216164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/11.36 % (216164)CaDiCaL version: 2.1.3
% 30.86/11.36 % (216164)Termination reason: Instruction limit
% 30.86/11.36 % (216164)Termination phase: Finite model building constraint generation
% 30.86/11.36 % (216164)Time elapsed: 1.456 s
% 30.86/11.36 % (216164)Peak memory usage: 145 MB
% 30.86/11.36 % (216164)Instructions burned: 2175 (million)
% 30.86/11.36 % (216166)ott-2_1_sil=16000:newcnf=on:random_seed=1877571617:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2919 on theBenchmark for (2919ds/869Mi)
% 30.86/11.36 % (216168)ott+10_1_sil=32000:tgt=ground:random_seed=827513556:i=5114:av=off_2918 on theBenchmark for (2918ds/5114Mi)
% 30.86/11.36 % (216162)Instruction limit reached!
% 30.86/11.36 % (216162)------------------------------
% 30.86/11.36 % (216162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/11.36 % (216162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/11.36 % (216162)CaDiCaL version: 2.1.3
% 30.86/11.36 % (216162)Termination reason: Instruction limit
% 30.86/11.36 % (216162)Termination phase: Finite model building constraint generation
% 30.86/11.36 % (216162)Time elapsed: 4.577 s
% 30.86/11.36 % (216162)Peak memory usage: 514 MB
% 30.86/11.36 % (216162)Instructions burned: 6325 (million)
% 30.86/11.36 % (216170)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4005032003:i=54282_2911 on theBenchmark for (2911ds/54282Mi)
% 30.86/11.36 % TRYING [1]
% 30.86/11.36 % TRYING [2]
% 30.86/11.36 % TRYING [3]
% 30.86/11.36 % TRYING [4]
% 30.86/11.36 % TRYING [5]
% 30.86/11.36 % (216166)Instruction limit reached!
% 30.86/11.36 % (216166)------------------------------
% 30.86/11.36 % (216166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/11.36 % (216166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/11.36 % (216166)CaDiCaL version: 2.1.3
% 30.86/11.36 % (216166)Termination reason: Instruction limit
% 30.86/11.36 % (216166)Termination phase: Saturation
% 30.86/11.36 % (216166)Time elapsed: 0.826 s
% 30.86/11.36 % (216166)Peak memory usage: 20 MB
% 30.86/11.36 % (216166)Instructions burned: 870 (million)
% 30.86/11.36 % (216172)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=477844753:i=3512:aac=none_2910 on theBenchmark for (2910ds/3512Mi)
% 30.86/11.36 % TRYING [6]
% 30.86/11.36 % TRYING [7]
% 30.86/11.36 % (216168) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-216113-216168"...
% 30.86/11.36 % (216168)...printing done.
% 30.86/11.36 % (216168)Refutation found. Thanks to Tanya!
% 30.86/11.36 % SZS status Theorem for theBenchmark
% 30.86/11.36 % SZS output start Proof for theBenchmark
% See solution above
% 30.86/11.36 % (216168)------------------------------
% 30.86/11.36 % (216168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.86/11.36 % (216168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.86/11.36 % (216168)CaDiCaL version: 2.1.3
% 30.86/11.36 % (216168)Termination reason: Refutation
% 30.86/11.36 % (216168)Time elapsed: 2.655 s
% 30.86/11.36 % (216168)Peak memory usage: 40 MB
% 30.86/11.36 % (216168)Instructions burned: 2647 (million)
% 30.86/11.36 % (216113)Success in time 10.916 s
% 30.86/11.36 % Vampire exiting
%------------------------------------------------------------------------------