%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE101+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 11:40:20 AM UTC 2026
% Result : Theorem 74.38s 12.58s
% Output : Refutation 82.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 37
% Syntax : Number of formulae : 250 ( 246 unt; 16 def)
% Number of atoms : 254 ( 253 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 : 274 ( 271 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
fof(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f17,axiom,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',codomain2) ).
fof(f19,axiom,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain3) ).
fof(f20,axiom,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain4) ).
fof(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_diamond) ).
fof(f24,axiom,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/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(f41,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
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,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(backward_demodulation,[],[f44,f31]) ).
fof(f101,plain,
! [X0] : one = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(backward_demodulation,[],[f48,f31]) ).
fof(f102,plain,
zero = multiplication(sF17,sF6),
inference(forward_demodulation,[],[f98,f99]) ).
fof(f108,plain,
zero = coantidomain(one),
inference(superposition,[],[f37,f46]) ).
fof(f112,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f33,f31]) ).
fof(f127,plain,
! [X0] : multiplication(sF8,multiplication(sK0,X0)) = multiplication(sF9,X0),
inference(superposition,[],[f35,f79]) ).
fof(f140,plain,
zero = antidomain(one),
inference(superposition,[],[f42,f36]) ).
fof(f142,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f38,f36]) ).
fof(f145,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = addition(zero,multiplication(antidomain(X0),X1)),
inference(superposition,[],[f38,f42]) ).
fof(f150,plain,
! [X0,X1] : multiplication(X0,addition(X1,coantidomain(X0))) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f38,f46]) ).
fof(f154,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f38,f42]) ).
fof(f167,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)),
inference(forward_demodulation,[],[f154,f33]) ).
fof(f171,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(X0,addition(X1,coantidomain(X0))),
inference(forward_demodulation,[],[f150,f33]) ).
fof(f173,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1),
inference(forward_demodulation,[],[f145,f112]) ).
fof(f191,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,X1)) = multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f167,f38]) ).
fof(f203,plain,
! [X0] : multiplication(antidomain(coantidomain(coantidomain(X0))),coantidomain(X0)) = multiplication(antidomain(coantidomain(coantidomain(X0))),one),
inference(superposition,[],[f167,f101]) ).
fof(f204,plain,
! [X0] : antidomain(coantidomain(coantidomain(X0))) = multiplication(antidomain(coantidomain(coantidomain(X0))),coantidomain(X0)),
inference(forward_demodulation,[],[f203,f36]) ).
fof(f210,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f39,f37]) ).
fof(f211,plain,
! [X0,X1] : multiplication(addition(antidomain(X0),X1),X0) = addition(zero,multiplication(X1,X0)),
inference(superposition,[],[f39,f42]) ).
fof(f217,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = addition(multiplication(X0,coantidomain(X1)),zero),
inference(superposition,[],[f39,f46]) ).
fof(f221,plain,
! [X0,X1] : addition(multiplication(X0,X1),zero) = multiplication(addition(X0,antidomain(X1)),X1),
inference(superposition,[],[f39,f42]) ).
fof(f231,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X1,X2)),multiplication(X0,X2)) = multiplication(antidomain(multiplication(X1,X2)),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f167,f39]) ).
fof(f241,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f221,f33]) ).
fof(f244,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = multiplication(X0,coantidomain(X1)),
inference(forward_demodulation,[],[f217,f33]) ).
fof(f246,plain,
! [X0,X1] : multiplication(X1,X0) = multiplication(addition(antidomain(X0),X1),X0),
inference(forward_demodulation,[],[f211,f112]) ).
fof(f276,plain,
one = addition(sF5,antidomain(sF5)),
inference(superposition,[],[f100,f71]) ).
fof(f281,plain,
one = addition(sF16,antidomain(sF16)),
inference(superposition,[],[f100,f94]) ).
fof(f284,plain,
! [X0] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f167,f100]) ).
fof(f285,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f284,f36]) ).
fof(f287,plain,
one = addition(sF16,sF17),
inference(forward_demodulation,[],[f281,f96]) ).
fof(f290,plain,
one = addition(sF5,sF6),
inference(forward_demodulation,[],[f276,f73]) ).
fof(f300,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f246,f100]) ).
fof(f318,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f300,f37]) ).
fof(f322,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(backward_demodulation,[],[f285,f318]) ).
fof(f329,plain,
sF15 = multiplication(antidomain(sF16),sF15),
inference(superposition,[],[f318,f94]) ).
fof(f337,plain,
one = antidomain(antidomain(one)),
inference(superposition,[],[f36,f318]) ).
fof(f338,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f337,f140]) ).
fof(f342,plain,
sF15 = multiplication(sF17,sF15),
inference(forward_demodulation,[],[f329,f96]) ).
fof(f425,plain,
! [X0] : multiplication(antidomain(coantidomain(X0)),coantidomain(coantidomain(X0))) = multiplication(antidomain(coantidomain(X0)),one),
inference(superposition,[],[f173,f101]) ).
fof(f435,plain,
! [X0] : antidomain(coantidomain(X0)) = multiplication(antidomain(coantidomain(X0)),coantidomain(coantidomain(X0))),
inference(forward_demodulation,[],[f425,f36]) ).
fof(f463,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),multiplication(antidomain(X0),X1)) = multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),multiplication(one,X1)),
inference(superposition,[],[f231,f100]) ).
fof(f480,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),multiplication(antidomain(X0),X1)) = multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),X1),
inference(forward_demodulation,[],[f463,f37]) ).
fof(f533,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),multiplication(X0,antidomain(antidomain(X1)))),
inference(superposition,[],[f241,f43]) ).
fof(f540,plain,
! [X0,X1] : zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f533,f42]) ).
fof(f697,plain,
one = addition(zero,coantidomain(zero)),
inference(superposition,[],[f101,f108]) ).
fof(f699,plain,
one = coantidomain(zero),
inference(forward_demodulation,[],[f697,f112]) ).
fof(f728,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f32,f38]) ).
fof(f754,plain,
sF5 = antidomain(antidomain(sF5)),
inference(superposition,[],[f322,f71]) ).
fof(f755,plain,
sF4 = antidomain(antidomain(sF4)),
inference(superposition,[],[f322,f69]) ).
fof(f759,plain,
sF16 = antidomain(antidomain(sF16)),
inference(superposition,[],[f322,f94]) ).
fof(f776,plain,
sF16 = antidomain(sF17),
inference(forward_demodulation,[],[f759,f96]) ).
fof(f780,plain,
sF4 = antidomain(sF13),
inference(forward_demodulation,[],[f755,f88]) ).
fof(f781,plain,
sF5 = antidomain(sF6),
inference(forward_demodulation,[],[f754,f73]) ).
fof(f795,plain,
sF4 = sF14,
inference(backward_demodulation,[],[f90,f780]) ).
fof(f806,plain,
sF15 = multiplication(sK0,sF4),
inference(backward_demodulation,[],[f92,f795]) ).
fof(f972,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f32,f34]) ).
fof(f1197,plain,
! [X0] : one = addition(antidomain(X0),one),
inference(superposition,[],[f972,f100]) ).
fof(f1199,plain,
! [X0] : one = addition(coantidomain(X0),one),
inference(superposition,[],[f972,f101]) ).
fof(f1205,plain,
! [X0,X1] : multiplication(X0,coantidomain(addition(X0,X1))) = multiplication(addition(X0,X1),coantidomain(addition(X0,X1))),
inference(superposition,[],[f244,f972]) ).
fof(f1210,plain,
! [X0,X1] : zero = multiplication(X0,coantidomain(addition(X0,X1))),
inference(forward_demodulation,[],[f1205,f46]) ).
fof(f1215,plain,
! [X0] : one = addition(one,coantidomain(X0)),
inference(forward_demodulation,[],[f1199,f31]) ).
fof(f1216,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f1197,f31]) ).
fof(f1248,plain,
! [X0,X1] : multiplication(X0,one) = addition(X0,multiplication(X0,antidomain(X1))),
inference(superposition,[],[f142,f1216]) ).
fof(f1249,plain,
! [X0,X1] : multiplication(one,X1) = addition(X1,multiplication(antidomain(X0),X1)),
inference(superposition,[],[f210,f1216]) ).
fof(f1254,plain,
! [X0,X1] : addition(X1,multiplication(antidomain(X0),X1)) = X1,
inference(forward_demodulation,[],[f1249,f37]) ).
fof(f1255,plain,
! [X0,X1] : addition(X0,multiplication(X0,antidomain(X1))) = X0,
inference(forward_demodulation,[],[f1248,f36]) ).
fof(f1266,plain,
! [X0,X1] : multiplication(one,X1) = addition(X1,multiplication(coantidomain(X0),X1)),
inference(superposition,[],[f210,f1215]) ).
fof(f1271,plain,
! [X0,X1] : addition(X1,multiplication(coantidomain(X0),X1)) = X1,
inference(forward_demodulation,[],[f1266,f37]) ).
fof(f1305,plain,
! [X0,X1] : multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(X0,X1))) = multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(superposition,[],[f171,f47]) ).
fof(f1343,plain,
! [X0,X1] : zero = multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f1305,f46]) ).
fof(f1353,plain,
! [X0,X1] : zero = multiplication(coantidomain(coantidomain(X0)),multiplication(X1,coantidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f1343,f35]) ).
fof(f1466,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),multiplication(X0,coantidomain(zero))),
inference(superposition,[],[f1353,f42]) ).
fof(f1520,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),multiplication(X0,one)),
inference(forward_demodulation,[],[f1466,f699]) ).
fof(f1544,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f1520,f36]) ).
fof(f1594,plain,
! [X0,X1] : multiplication(antidomain(X0),X0) = multiplication(multiplication(antidomain(X0),antidomain(X1)),X0),
inference(superposition,[],[f246,f1255]) ).
fof(f1595,plain,
! [X0,X1] : multiplication(antidomain(X0),X0) = multiplication(antidomain(X0),multiplication(antidomain(X1),X0)),
inference(forward_demodulation,[],[f1594,f35]) ).
fof(f1612,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),multiplication(antidomain(X1),X0)),
inference(forward_demodulation,[],[f1595,f42]) ).
fof(f2040,plain,
multiplication(sF9,sF4) = multiplication(sF8,sF15),
inference(superposition,[],[f127,f806]) ).
fof(f2237,plain,
zero = multiplication(coantidomain(coantidomain(sF9)),multiplication(sF4,coantidomain(multiplication(sF8,sF15)))),
inference(superposition,[],[f1353,f2040]) ).
fof(f2238,plain,
zero = multiplication(coantidomain(sF10),multiplication(sF4,coantidomain(multiplication(sF8,sF15)))),
inference(forward_demodulation,[],[f2237,f81]) ).
fof(f2243,plain,
zero = multiplication(sF11,multiplication(sF4,coantidomain(multiplication(sF8,sF15)))),
inference(forward_demodulation,[],[f2238,f83]) ).
fof(f2275,plain,
! [X0] : zero = multiplication(antidomain(zero),multiplication(X0,antidomain(antidomain(coantidomain(X0))))),
inference(superposition,[],[f540,f46]) ).
fof(f2401,plain,
! [X0] : zero = multiplication(one,multiplication(X0,antidomain(antidomain(coantidomain(X0))))),
inference(forward_demodulation,[],[f2275,f338]) ).
fof(f2429,plain,
! [X0] : zero = multiplication(X0,antidomain(antidomain(coantidomain(X0)))),
inference(forward_demodulation,[],[f2401,f37]) ).
fof(f2540,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),multiplication(X0,antidomain(X1))) = multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),multiplication(X0,one)),
inference(superposition,[],[f191,f100]) ).
fof(f2584,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),multiplication(X0,antidomain(X1))) = multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),X0),
inference(forward_demodulation,[],[f2540,f36]) ).
fof(f3102,plain,
! [X0,X1] : addition(multiplication(X0,X1),zero) = multiplication(addition(X0,coantidomain(coantidomain(antidomain(X1)))),X1),
inference(superposition,[],[f39,f1544]) ).
fof(f3142,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,coantidomain(coantidomain(antidomain(X1)))),X1),
inference(forward_demodulation,[],[f3102,f33]) ).
fof(f3579,plain,
! [X0] : multiplication(antidomain(zero),X0) = multiplication(antidomain(zero),multiplication(X0,antidomain(coantidomain(X0)))),
inference(superposition,[],[f2584,f2429]) ).
fof(f3629,plain,
! [X0] : multiplication(one,X0) = multiplication(one,multiplication(X0,antidomain(coantidomain(X0)))),
inference(forward_demodulation,[],[f3579,f338]) ).
fof(f3650,plain,
! [X0] : multiplication(one,X0) = multiplication(X0,antidomain(coantidomain(X0))),
inference(forward_demodulation,[],[f3629,f37]) ).
fof(f3655,plain,
! [X0] : multiplication(X0,antidomain(coantidomain(X0))) = X0,
inference(forward_demodulation,[],[f3650,f37]) ).
fof(f4222,plain,
! [X0] : antidomain(coantidomain(coantidomain(X0))) = addition(antidomain(coantidomain(coantidomain(X0))),coantidomain(X0)),
inference(superposition,[],[f1271,f3655]) ).
fof(f4258,plain,
! [X0] : antidomain(coantidomain(coantidomain(X0))) = addition(coantidomain(X0),antidomain(coantidomain(coantidomain(X0)))),
inference(forward_demodulation,[],[f4222,f31]) ).
fof(f4480,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X3,X2)),multiplication(X1,X2)) = addition(multiplication(X0,X3),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f728,f39]) ).
fof(f4895,plain,
! [X0] : coantidomain(X0) = addition(coantidomain(X0),antidomain(coantidomain(coantidomain(X0)))),
inference(superposition,[],[f1254,f204]) ).
fof(f4928,plain,
! [X0] : coantidomain(X0) = antidomain(coantidomain(coantidomain(X0))),
inference(backward_demodulation,[],[f4258,f4895]) ).
fof(f4970,plain,
! [X0] : one = addition(coantidomain(X0),antidomain(coantidomain(X0))),
inference(superposition,[],[f100,f4928]) ).
fof(f4977,plain,
! [X0] : coantidomain(coantidomain(X0)) = multiplication(antidomain(coantidomain(X0)),coantidomain(coantidomain(X0))),
inference(superposition,[],[f318,f4928]) ).
fof(f4998,plain,
! [X0] : coantidomain(coantidomain(X0)) = antidomain(coantidomain(X0)),
inference(forward_demodulation,[],[f4977,f435]) ).
fof(f5099,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(coantidomain(antidomain(X1)))),X1),
inference(backward_demodulation,[],[f3142,f4998]) ).
fof(f5197,plain,
coantidomain(sF7) = antidomain(sF7),
inference(superposition,[],[f4998,f75]) ).
fof(f5199,plain,
coantidomain(sF10) = antidomain(sF10),
inference(superposition,[],[f4998,f81]) ).
fof(f5213,plain,
sF11 = antidomain(sF10),
inference(forward_demodulation,[],[f5199,f83]) ).
fof(f5215,plain,
sF8 = antidomain(sF7),
inference(forward_demodulation,[],[f5197,f77]) ).
fof(f6537,plain,
! [X0] : multiplication(one,X0) = multiplication(coantidomain(antidomain(X0)),X0),
inference(superposition,[],[f5099,f4970]) ).
fof(f6600,plain,
! [X0] : multiplication(coantidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f6537,f37]) ).
fof(f6677,plain,
! [X0] : coantidomain(antidomain(antidomain(X0))) = addition(coantidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(superposition,[],[f1255,f6600]) ).
fof(f6680,plain,
! [X0] : coantidomain(antidomain(antidomain(X0))) = addition(antidomain(X0),coantidomain(antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f6677,f31]) ).
fof(f6866,plain,
! [X2,X0,X1] : addition(multiplication(X0,one),multiplication(addition(X0,X2),antidomain(X1))) = addition(multiplication(X0,one),multiplication(X2,antidomain(X1))),
inference(superposition,[],[f4480,f1216]) ).
fof(f6867,plain,
! [X2,X0,X1] : addition(multiplication(X0,one),multiplication(addition(X0,X2),coantidomain(X1))) = addition(multiplication(X0,one),multiplication(X2,coantidomain(X1))),
inference(superposition,[],[f4480,f1215]) ).
fof(f6875,plain,
! [X0,X1] : addition(multiplication(X0,sF5),multiplication(addition(X0,X1),sF6)) = addition(multiplication(X0,one),multiplication(X1,sF6)),
inference(superposition,[],[f4480,f290]) ).
fof(f7023,plain,
! [X2,X0,X1] : addition(multiplication(antidomain(X0),addition(X1,X2)),multiplication(antidomain(antidomain(X0)),X2)) = addition(multiplication(antidomain(X0),X1),multiplication(one,X2)),
inference(superposition,[],[f4480,f100]) ).
fof(f7109,plain,
! [X2,X0,X1] : addition(multiplication(antidomain(X0),X1),X2) = addition(multiplication(antidomain(X0),addition(X1,X2)),multiplication(antidomain(antidomain(X0)),X2)),
inference(forward_demodulation,[],[f7023,f37]) ).
fof(f7242,plain,
! [X0,X1] : addition(multiplication(X0,sF5),multiplication(addition(X0,X1),sF6)) = addition(X0,multiplication(X1,sF6)),
inference(forward_demodulation,[],[f6875,f36]) ).
fof(f7249,plain,
! [X2,X0,X1] : addition(X0,multiplication(addition(X0,X2),coantidomain(X1))) = addition(X0,multiplication(X2,coantidomain(X1))),
inference(forward_demodulation,[],[f6867,f36]) ).
fof(f7250,plain,
! [X2,X0,X1] : addition(X0,multiplication(addition(X0,X2),antidomain(X1))) = addition(X0,multiplication(X2,antidomain(X1))),
inference(forward_demodulation,[],[f6866,f36]) ).
fof(f7278,plain,
! [X2,X0,X1] : addition(multiplication(antidomain(X0),X1),X2) = addition(multiplication(antidomain(antidomain(X0)),X2),multiplication(antidomain(X0),addition(X1,X2))),
inference(forward_demodulation,[],[f7109,f31]) ).
fof(f7444,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X0)),antidomain(X1))) = addition(antidomain(X0),multiplication(one,antidomain(X1))),
inference(superposition,[],[f7250,f100]) ).
fof(f7534,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X0)),antidomain(X1))) = addition(antidomain(X0),antidomain(X1)),
inference(forward_demodulation,[],[f7444,f37]) ).
fof(f7594,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X0)),coantidomain(X1))) = addition(antidomain(X0),multiplication(one,coantidomain(X1))),
inference(superposition,[],[f7249,f100]) ).
fof(f7682,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X0)),coantidomain(X1))) = addition(antidomain(X0),coantidomain(X1)),
inference(forward_demodulation,[],[f7594,f37]) ).
fof(f7759,plain,
! [X0] : addition(antidomain(X0),zero) = addition(antidomain(X0),coantidomain(antidomain(antidomain(X0)))),
inference(superposition,[],[f7682,f46]) ).
fof(f7789,plain,
! [X0] : addition(antidomain(X0),zero) = coantidomain(antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f7759,f6680]) ).
fof(f7817,plain,
! [X0] : antidomain(X0) = coantidomain(antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f7789,f33]) ).
fof(f7865,plain,
! [X0] : antidomain(antidomain(X0)) = coantidomain(antidomain(X0)),
inference(superposition,[],[f4998,f7817]) ).
fof(f8025,plain,
coantidomain(sF6) = antidomain(sF6),
inference(superposition,[],[f7865,f73]) ).
fof(f8033,plain,
antidomain(sF16) = coantidomain(sF16),
inference(superposition,[],[f7865,f776]) ).
fof(f8057,plain,
sF17 = coantidomain(sF16),
inference(forward_demodulation,[],[f8033,f96]) ).
fof(f8065,plain,
sF5 = coantidomain(sF6),
inference(forward_demodulation,[],[f8025,f781]) ).
fof(f8112,plain,
sF5 = sF7,
inference(backward_demodulation,[],[f75,f8065]) ).
fof(f8203,plain,
antidomain(sF5) = sF8,
inference(backward_demodulation,[],[f5215,f8112]) ).
fof(f8255,plain,
sF6 = sF8,
inference(forward_demodulation,[],[f8203,f73]) ).
fof(f8301,plain,
zero = multiplication(sF11,multiplication(sF4,coantidomain(multiplication(sF6,sF15)))),
inference(backward_demodulation,[],[f2243,f8255]) ).
fof(f9305,plain,
addition(sF16,multiplication(sF17,sF6)) = addition(multiplication(sF16,sF5),multiplication(one,sF6)),
inference(superposition,[],[f7242,f287]) ).
fof(f9351,plain,
addition(sF16,multiplication(sF17,sF6)) = addition(multiplication(one,sF6),multiplication(sF16,sF5)),
inference(forward_demodulation,[],[f9305,f31]) ).
fof(f9398,plain,
addition(sF16,multiplication(sF17,sF6)) = addition(sF6,multiplication(sF16,sF5)),
inference(forward_demodulation,[],[f9351,f37]) ).
fof(f9437,plain,
addition(sF6,multiplication(sF16,sF5)) = addition(sF16,zero),
inference(forward_demodulation,[],[f9398,f102]) ).
fof(f9464,plain,
sF16 = addition(sF6,multiplication(sF16,sF5)),
inference(forward_demodulation,[],[f9437,f33]) ).
fof(f10186,plain,
! [X0,X1] : addition(multiplication(antidomain(X0),antidomain(X1)),antidomain(antidomain(X1))) = addition(multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1))),multiplication(antidomain(X0),one)),
inference(superposition,[],[f7278,f100]) ).
fof(f10260,plain,
! [X0,X1] : addition(multiplication(antidomain(X0),antidomain(X1)),antidomain(antidomain(X1))) = addition(multiplication(antidomain(X0),one),multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f10186,f31]) ).
fof(f10335,plain,
! [X0,X1] : addition(multiplication(antidomain(X0),antidomain(X1)),antidomain(antidomain(X1))) = addition(antidomain(X0),multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f10260,f36]) ).
fof(f10372,plain,
! [X0,X1] : addition(multiplication(antidomain(X0),antidomain(X1)),antidomain(antidomain(X1))) = addition(antidomain(X0),antidomain(antidomain(X1))),
inference(forward_demodulation,[],[f10335,f7534]) ).
fof(f10400,plain,
! [X0,X1] : addition(antidomain(X0),antidomain(antidomain(X1))) = addition(antidomain(antidomain(X1)),multiplication(antidomain(X0),antidomain(X1))),
inference(forward_demodulation,[],[f10372,f31]) ).
fof(f11203,plain,
! [X0,X1] : multiplication(antidomain(antidomain(antidomain(X1))),multiplication(antidomain(X0),antidomain(X1))) = multiplication(antidomain(antidomain(antidomain(X1))),addition(antidomain(X0),antidomain(antidomain(X1)))),
inference(superposition,[],[f173,f10400]) ).
fof(f11236,plain,
! [X0,X1] : multiplication(antidomain(antidomain(antidomain(X1))),multiplication(antidomain(X0),antidomain(X1))) = multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X0)),
inference(forward_demodulation,[],[f11203,f167]) ).
fof(f11269,plain,
! [X0,X1] : multiplication(antidomain(X1),antidomain(X0)) = multiplication(antidomain(X1),multiplication(antidomain(X0),antidomain(X1))),
inference(forward_demodulation,[],[f11236,f322]) ).
fof(f12921,plain,
zero = multiplication(sF6,coantidomain(sF16)),
inference(superposition,[],[f1210,f9464]) ).
fof(f12952,plain,
zero = multiplication(sF6,sF17),
inference(forward_demodulation,[],[f12921,f8057]) ).
fof(f12984,plain,
! [X0] : multiplication(zero,X0) = multiplication(sF6,multiplication(sF17,X0)),
inference(superposition,[],[f35,f12952]) ).
fof(f13020,plain,
! [X0] : zero = multiplication(sF6,multiplication(sF17,X0)),
inference(forward_demodulation,[],[f12984,f41]) ).
fof(f15060,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(antidomain(X0)),multiplication(antidomain(X1),antidomain(X0)))),multiplication(antidomain(X1),antidomain(X0))) = multiplication(antidomain(multiplication(antidomain(antidomain(X0)),multiplication(antidomain(X1),antidomain(X0)))),multiplication(antidomain(X0),antidomain(X1))),
inference(superposition,[],[f480,f11269]) ).
fof(f15138,plain,
! [X0,X1] : multiplication(antidomain(zero),multiplication(antidomain(X1),antidomain(X0))) = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(X1))),
inference(forward_demodulation,[],[f15060,f1612]) ).
fof(f15193,plain,
! [X0,X1] : multiplication(one,multiplication(antidomain(X1),antidomain(X0))) = multiplication(one,multiplication(antidomain(X0),antidomain(X1))),
inference(forward_demodulation,[],[f15138,f338]) ).
fof(f15223,plain,
! [X0,X1] : multiplication(antidomain(X0),antidomain(X1)) = multiplication(one,multiplication(antidomain(X1),antidomain(X0))),
inference(forward_demodulation,[],[f15193,f37]) ).
fof(f15239,plain,
! [X0,X1] : multiplication(antidomain(X0),antidomain(X1)) = multiplication(antidomain(X1),antidomain(X0)),
inference(forward_demodulation,[],[f15223,f37]) ).
fof(f15301,plain,
! [X0] : multiplication(sF4,antidomain(X0)) = multiplication(antidomain(X0),sF4),
inference(superposition,[],[f15239,f69]) ).
fof(f15887,plain,
multiplication(sF4,sF11) = multiplication(sF11,sF4),
inference(superposition,[],[f15301,f5213]) ).
fof(f15950,plain,
sF12 = multiplication(sF11,sF4),
inference(forward_demodulation,[],[f15887,f85]) ).
fof(f16003,plain,
! [X0] : multiplication(sF12,X0) = multiplication(sF11,multiplication(sF4,X0)),
inference(superposition,[],[f35,f15950]) ).
fof(f16035,plain,
zero = multiplication(sF12,coantidomain(multiplication(sF6,sF15))),
inference(backward_demodulation,[],[f8301,f16003]) ).
fof(f44570,plain,
zero = multiplication(sF6,sF15),
inference(superposition,[],[f13020,f342]) ).
fof(f44688,plain,
zero = multiplication(sF12,coantidomain(zero)),
inference(backward_demodulation,[],[f16035,f44570]) ).
fof(f44735,plain,
zero = multiplication(sF12,one),
inference(forward_demodulation,[],[f44688,f699]) ).
fof(f44778,plain,
zero = sF12,
inference(forward_demodulation,[],[f44735,f36]) ).
fof(f44803,plain,
$false,
inference(forward_subsumption_resolution,[],[f44778,f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KLE101+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 % Computer : n015.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sun Sep 27 13:13:16 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.66/3.46 % (1664420)Detected formulas, will run a generic FOF schedule.
% 17.66/3.46 % (1664425)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1681041313:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 17.66/3.46 % (1664426)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=409046241:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 17.66/3.46 % (1664427)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2989570780:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 17.66/3.46 % (1664428)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2966864816:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 17.66/3.46 % (1664431)dis-21_1_sil=8000:lcm=predicate:random_seed=3578281403:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 17.66/3.46 % (1664428)Refutation not found, incomplete strategy
% 17.66/3.46 % (1664428)------------------------------
% 17.66/3.46 % (1664428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.66/3.46 % (1664431)Refutation not found, incomplete strategy
% 17.66/3.46 % (1664431)------------------------------
% 17.66/3.46 % (1664431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.66/3.46 % (1664428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.66/3.46 % (1664431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.66/3.46 % (1664428)CaDiCaL version: 2.1.3
% 17.66/3.46 % (1664431)CaDiCaL version: 2.1.3
% 17.66/3.46 % (1664428)Termination reason: Refutation not found, incomplete strategy
% 17.66/3.46 % (1664428)Time elapsed: 0.003 s
% 17.66/3.46 % (1664431)Termination reason: Refutation not found, incomplete strategy
% 17.66/3.46 % (1664431)Time elapsed: 0.003 s
% 17.66/3.46 % (1664431)Peak memory usage: 88 MB
% 17.66/3.46 % (1664428)Peak memory usage: 88 MB
% 17.66/3.46 % (1664428)Instructions burned: 1 (million)
% 17.66/3.46 % (1664431)Instructions burned: 1 (million)
% 17.66/3.46 % (1664430)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1845954558:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 17.66/3.46 % (1664429)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1888665788:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 17.66/3.46 % (1664429)Instruction limit reached!
% 17.66/3.46 % (1664429)------------------------------
% 17.66/3.46 % (1664429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.66/3.46 % (1664429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.66/3.46 % (1664429)CaDiCaL version: 2.1.3
% 17.66/3.46 % (1664429)Termination reason: Instruction limit
% 17.66/3.46 % (1664429)Termination phase: Saturation
% 17.66/3.46 % (1664429)Time elapsed: 0.112 s
% 17.66/3.46 % (1664429)Peak memory usage: 88 MB
% 17.66/3.46 % (1664429)Instructions burned: 119 (million)
% 17.66/3.46 % (1664430)Instruction limit reached!
% 17.66/3.46 % (1664430)------------------------------
% 17.66/3.46 % (1664430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.66/3.46 % (1664430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.66/3.46 % (1664430)CaDiCaL version: 2.1.3
% 17.66/3.46 % (1664430)Termination reason: Instruction limit
% 17.66/3.46 % (1664430)Termination phase: Saturation
% 17.66/3.46 % (1664430)Time elapsed: 0.139 s
% 17.66/3.46 % (1664430)Peak memory usage: 89 MB
% 17.66/3.46 % (1664430)Instructions burned: 139 (million)
% 17.66/3.46 % (1664440)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3554298479:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 17.66/3.46 % (1664428)------------------------------
% 17.66/3.46 % (1664428)------------------------------
% 17.66/3.46 % (1664431)------------------------------
% 17.66/3.46 % (1664431)------------------------------
% 17.66/3.46 % (1664439)lrs+10_1_sil=8000:sp=occurrence:random_seed=627414891:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 17.66/3.46 % (1664440)Instruction limit reached!
% 17.66/3.46 % (1664440)------------------------------
% 17.66/3.46 % (1664440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.66/3.46 % (1664440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.17/4.25 % (1664440)CaDiCaL version: 2.1.3
% 23.17/4.25 % (1664440)Termination reason: Instruction limit
% 23.17/4.25 % (1664440)Termination phase: Saturation
% 23.17/4.25 % (1664440)Time elapsed: 0.095 s
% 23.17/4.25 % (1664440)Peak memory usage: 89 MB
% 23.17/4.25 % (1664440)Instructions burned: 158 (million)
% 23.17/4.25 % (1664439)Instruction limit reached!
% 23.17/4.25 % (1664439)------------------------------
% 23.17/4.25 % (1664439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.17/4.25 % (1664439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.17/4.25 % (1664439)CaDiCaL version: 2.1.3
% 23.17/4.25 % (1664439)Termination reason: Instruction limit
% 23.17/4.25 % (1664439)Termination phase: Saturation
% 23.17/4.25 % (1664439)Time elapsed: 0.198 s
% 23.17/4.25 % (1664439)Peak memory usage: 91 MB
% 23.17/4.25 % (1664439)Instructions burned: 286 (million)
% 23.17/4.25 % (1664445)lrs+1011_1_sil=32000:sp=occurrence:random_seed=614715594:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 23.17/4.25 % (1664446)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2065436914:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 23.17/4.25 % (1664447)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1025960398:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 23.17/4.25 % (1664448)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2515505115:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 23.17/4.25 % (1664446)Instruction limit reached!
% 23.17/4.25 % (1664446)------------------------------
% 23.17/4.25 % (1664446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.17/4.25 % (1664446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.17/4.25 % (1664446)CaDiCaL version: 2.1.3
% 23.17/4.25 % (1664446)Termination reason: Instruction limit
% 23.17/4.25 % (1664446)Termination phase: Saturation
% 23.17/4.25 % (1664446)Time elapsed: 0.248 s
% 23.17/4.25 % (1664446)Peak memory usage: 91 MB
% 23.17/4.25 % (1664446)Instructions burned: 248 (million)
% 23.17/4.25 % (1664447)Instruction limit reached!
% 23.17/4.25 % (1664447)------------------------------
% 23.17/4.25 % (1664447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.17/4.25 % (1664447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.17/4.25 % (1664447)CaDiCaL version: 2.1.3
% 23.17/4.25 % (1664447)Termination reason: Instruction limit
% 23.17/4.25 % (1664447)Termination phase: Saturation
% 23.17/4.25 % (1664447)Time elapsed: 0.257 s
% 23.17/4.25 % (1664447)Peak memory usage: 89 MB
% 23.17/4.25 % (1664447)Instructions burned: 294 (million)
% 23.17/4.25 % (1664427)Refutation not found, incomplete strategy
% 23.17/4.25 % (1664427)------------------------------
% 23.17/4.25 % (1664427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.17/4.25 % (1664427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.17/4.25 % (1664427)CaDiCaL version: 2.1.3
% 23.17/4.25 % (1664427)Termination reason: Refutation not found, incomplete strategy
% 23.17/4.25 % (1664427)Time elapsed: 0.955 s
% 23.17/4.25 % (1664427)Peak memory usage: 128 MB
% 23.17/4.25 % (1664427)Instructions burned: 897 (million)
% 23.17/4.25 % (1664445)Instruction limit reached!
% 23.17/4.25 % (1664445)------------------------------
% 23.17/4.25 % (1664445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.17/4.25 % (1664445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.17/4.25 % (1664445)CaDiCaL version: 2.1.3
% 23.17/4.25 % (1664445)Termination reason: Instruction limit
% 23.17/4.25 % (1664445)Termination phase: Saturation
% 23.17/4.25 % (1664445)Time elapsed: 0.314 s
% 23.17/4.25 % (1664445)Peak memory usage: 92 MB
% 23.17/4.25 % (1664445)Instructions burned: 326 (million)
% 23.17/4.25 % (1664453)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3599376531:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 23.17/4.25 % (1664454)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2672512396:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 23.17/4.25 % (1664454)Refutation not found, incomplete strategy
% 23.17/4.25 % (1664454)------------------------------
% 23.17/4.25 % (1664454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.17/4.25 % (1664454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.53/7.04 % (1664454)CaDiCaL version: 2.1.3
% 43.53/7.04 % (1664454)Termination reason: Refutation not found, incomplete strategy
% 43.53/7.04 % (1664454)Time elapsed: 0.002 s
% 43.53/7.04 % (1664454)Peak memory usage: 88 MB
% 43.53/7.04 % (1664454)Instructions burned: 1 (million)
% 43.53/7.04 % (1664455)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2854203566:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 43.53/7.04 % (1664455)Refutation not found, incomplete strategy
% 43.53/7.04 % (1664455)------------------------------
% 43.53/7.04 % (1664455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.53/7.04 % (1664455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.53/7.04 % (1664455)CaDiCaL version: 2.1.3
% 43.53/7.04 % (1664455)Termination reason: Refutation not found, incomplete strategy
% 43.53/7.04 % (1664455)Time elapsed: 0.004 s
% 43.53/7.04 % (1664455)Peak memory usage: 88 MB
% 43.53/7.04 % (1664455)Instructions burned: 3 (million)
% 43.53/7.04 % (1664453)Instruction limit reached!
% 43.53/7.05 % (1664453)------------------------------
% 43.53/7.05 % (1664453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.53/7.05 % (1664453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.53/7.05 % (1664453)CaDiCaL version: 2.1.3
% 43.53/7.05 % (1664453)Termination reason: Instruction limit
% 43.53/7.05 % (1664453)Termination phase: Saturation
% 43.53/7.05 % (1664453)Time elapsed: 0.114 s
% 43.53/7.05 % (1664453)Peak memory usage: 90 MB
% 43.53/7.05 % (1664453)Instructions burned: 114 (million)
% 43.53/7.05 % (1664427)------------------------------
% 43.53/7.05 % (1664427)------------------------------
% 43.53/7.05 % (1664459)lrs+10_1_sil=8000:sp=occurrence:random_seed=1465006522:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 43.53/7.05 % (1664460)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=368630663:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 43.53/7.05 % (1664460)Refutation not found, incomplete strategy
% 43.53/7.05 % (1664460)------------------------------
% 43.53/7.05 % (1664460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.53/7.05 % (1664460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.53/7.05 % (1664460)CaDiCaL version: 2.1.3
% 43.53/7.05 % (1664460)Termination reason: Refutation not found, incomplete strategy
% 43.53/7.05 % (1664460)Time elapsed: 0.003 s
% 43.53/7.05 % (1664460)Peak memory usage: 88 MB
% 43.53/7.05 % (1664460)Instructions burned: 1 (million)
% 43.53/7.05 % (1664454)------------------------------
% 43.53/7.05 % (1664454)------------------------------
% 43.53/7.05 % (1664455)------------------------------
% 43.53/7.05 % (1664455)------------------------------
% 43.53/7.05 % (1664463)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4191143702:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 43.53/7.05 % (1664464)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2125043260:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 43.53/7.05 % (1664464)Refutation not found, incomplete strategy
% 43.53/7.05 % (1664464)------------------------------
% 43.53/7.05 % (1664464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.53/7.05 % (1664464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.53/7.05 % (1664464)CaDiCaL version: 2.1.3
% 43.53/7.05 % (1664464)Termination reason: Refutation not found, incomplete strategy
% 43.53/7.05 % (1664464)Time elapsed: 0.003 s
% 43.53/7.05 % (1664464)Peak memory usage: 88 MB
% 43.53/7.05 % (1664464)Instructions burned: 1 (million)
% 43.53/7.05 % (1664460)------------------------------
% 43.53/7.05 % (1664460)------------------------------
% 43.53/7.05 % (1664448)Instruction limit reached!
% 43.53/7.05 % (1664448)------------------------------
% 43.53/7.05 % (1664448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.53/7.05 % (1664448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.53/7.05 % (1664448)CaDiCaL version: 2.1.3
% 43.53/7.05 % (1664448)Termination reason: Instruction limit
% 43.53/7.05 % (1664448)Termination phase: Saturation
% 43.53/7.05 % (1664448)Time elapsed: 1.377 s
% 43.53/7.05 % (1664448)Peak memory usage: 143 MB
% 43.53/7.05 % (1664448)Instructions burned: 2351 (million)
% 43.53/7.05 % (1664467)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2185567627:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 76.61/11.96 % (1664464)------------------------------
% 76.61/11.96 % (1664464)------------------------------
% 76.61/11.96 % (1664468)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3025801729:st=3:i=13193:sd=3:ss=axioms_2975 on theBenchmark for (2975ds/13193Mi)
% 76.61/11.96 % (1664459)Instruction limit reached!
% 76.61/11.96 % (1664459)------------------------------
% 76.61/11.96 % (1664459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.61/11.96 % (1664459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.61/11.96 % (1664459)CaDiCaL version: 2.1.3
% 76.61/11.96 % (1664459)Termination reason: Instruction limit
% 76.61/11.96 % (1664459)Termination phase: Saturation
% 76.61/11.96 % (1664459)Time elapsed: 0.860 s
% 76.61/11.96 % (1664459)Peak memory usage: 97 MB
% 76.61/11.96 % (1664459)Instructions burned: 907 (million)
% 76.61/11.96 % (1664470)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=61497720:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/125Mi)
% 76.61/11.96 % (1664472)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3351069888:i=134:gtgl=5:slsql=off:gtg=exists_sym_2972 on theBenchmark for (2972ds/134Mi)
% 76.61/11.96 % (1664470)Instruction limit reached!
% 76.61/11.96 % (1664470)------------------------------
% 76.61/11.96 % (1664470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.61/11.96 % (1664470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.61/11.96 % (1664470)CaDiCaL version: 2.1.3
% 76.61/11.96 % (1664470)Termination reason: Instruction limit
% 76.61/11.96 % (1664470)Termination phase: Saturation
% 76.61/11.96 % (1664470)Time elapsed: 0.141 s
% 76.61/11.96 % (1664470)Peak memory usage: 91 MB
% 76.61/11.96 % (1664470)Instructions burned: 125 (million)
% 76.61/11.96 % (1664467)Instruction limit reached!
% 76.61/11.96 % (1664467)------------------------------
% 76.61/11.96 % (1664467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.61/11.96 % (1664467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.61/11.96 % (1664467)CaDiCaL version: 2.1.3
% 76.61/11.96 % (1664467)Termination reason: Instruction limit
% 76.61/11.96 % (1664467)Termination phase: Saturation
% 76.61/11.96 % (1664467)Time elapsed: 0.567 s
% 76.61/11.96 % (1664467)Peak memory usage: 95 MB
% 76.61/11.96 % (1664467)Instructions burned: 592 (million)
% 76.61/11.96 % (1664472)Instruction limit reached!
% 76.61/11.96 % (1664472)------------------------------
% 76.61/11.96 % (1664472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.61/11.96 % (1664472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.61/11.96 % (1664472)CaDiCaL version: 2.1.3
% 76.61/11.96 % (1664472)Termination reason: Instruction limit
% 76.61/11.96 % (1664472)Termination phase: Saturation
% 76.61/11.96 % (1664472)Time elapsed: 0.122 s
% 76.61/11.96 % (1664472)Peak memory usage: 89 MB
% 76.61/11.96 % (1664472)Instructions burned: 134 (million)
% 76.61/11.96 % (1664476)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3631568261:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2969 on theBenchmark for (2969ds/431Mi)
% 76.61/11.96 % (1664476)Refutation not found, incomplete strategy
% 76.61/11.96 % (1664476)------------------------------
% 76.61/11.96 % (1664476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.61/11.96 % (1664476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.61/11.96 % (1664476)CaDiCaL version: 2.1.3
% 76.61/11.96 % (1664476)Termination reason: Refutation not found, incomplete strategy
% 76.61/11.96 % (1664476)Time elapsed: 0.003 s
% 76.61/11.96 % (1664476)Peak memory usage: 88 MB
% 76.61/11.96 % (1664476)Instructions burned: 1 (million)
% 76.61/11.96 % (1664475)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=348332560:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 76.61/11.96 % (1664475)Refutation not found, incomplete strategy
% 76.61/11.96 % (1664475)------------------------------
% 76.61/11.96 % (1664475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.61/11.96 % (1664475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.61/11.96 % (1664475)CaDiCaL version: 2.1.3
% 76.61/11.96 % (1664475)Termination reason: Refutation not found, incomplete strategy
% 74.38/12.58 % (1664475)Time elapsed: 0.002 s
% 74.38/12.58 % (1664475)Peak memory usage: 88 MB
% 74.38/12.58 % (1664477)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3532421965:i=6060:aac=none:ins=25_2968 on theBenchmark for (2968ds/6060Mi)
% 74.38/12.58 % (1664476)------------------------------
% 74.38/12.58 % (1664476)------------------------------
% 74.38/12.58 % (1664475)------------------------------
% 74.38/12.58 % (1664475)------------------------------
% 74.38/12.58 % (1664481)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2633530650:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2963 on theBenchmark for (2963ds/150Mi)
% 74.38/12.58 % (1664482)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2051904198:i=14155:bd=all_2963 on theBenchmark for (2963ds/14155Mi)
% 74.38/12.58 % (1664481)Instruction limit reached!
% 74.38/12.58 % (1664481)------------------------------
% 74.38/12.58 % (1664481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.38/12.58 % (1664481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.38/12.58 % (1664481)CaDiCaL version: 2.1.3
% 74.38/12.58 % (1664481)Termination reason: Instruction limit
% 74.38/12.58 % (1664481)Termination phase: Saturation
% 74.38/12.58 % (1664481)Time elapsed: 0.146 s
% 74.38/12.58 % (1664481)Peak memory usage: 90 MB
% 74.38/12.58 % (1664481)Instructions burned: 151 (million)
% 74.38/12.58 % (1664485)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3813984382:i=667:av=off:fsr=off_2958 on theBenchmark for (2958ds/667Mi)
% 74.38/12.58 % (1664485)Instruction limit reached!
% 74.38/12.58 % (1664485)------------------------------
% 74.38/12.58 % (1664485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.38/12.58 % (1664485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.38/12.58 % (1664485)CaDiCaL version: 2.1.3
% 74.38/12.58 % (1664485)Termination reason: Instruction limit
% 74.38/12.58 % (1664485)Termination phase: Saturation
% 74.38/12.58 % (1664485)Time elapsed: 0.498 s
% 74.38/12.58 % (1664485)Peak memory usage: 88 MB
% 74.38/12.58 % (1664485)Instructions burned: 667 (million)
% 74.38/12.58 % (1664489)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2053525833:s2a=on:i=185:s2at=1.8:fdi=4_2951 on theBenchmark for (2951ds/185Mi)
% 74.38/12.58 % (1664489)Instruction limit reached!
% 74.38/12.58 % (1664489)------------------------------
% 74.38/12.58 % (1664489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.38/12.58 % (1664489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.38/12.58 % (1664489)CaDiCaL version: 2.1.3
% 74.38/12.58 % (1664489)Termination reason: Instruction limit
% 74.38/12.58 % (1664489)Termination phase: Saturation
% 74.38/12.58 % (1664489)Time elapsed: 0.174 s
% 74.38/12.58 % (1664489)Peak memory usage: 90 MB
% 74.38/12.58 % (1664489)Instructions burned: 185 (million)
% 74.38/12.58 % (1664491)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=4042346165:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2947 on theBenchmark for (2947ds/193Mi)
% 74.38/12.58 % (1664491)Instruction limit reached!
% 74.38/12.58 % (1664491)------------------------------
% 74.38/12.58 % (1664491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.38/12.58 % (1664491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.38/12.58 % (1664491)CaDiCaL version: 2.1.3
% 74.38/12.58 % (1664491)Termination reason: Instruction limit
% 74.38/12.58 % (1664491)Termination phase: Saturation
% 74.38/12.58 % (1664491)Time elapsed: 0.176 s
% 74.38/12.58 % (1664491)Peak memory usage: 90 MB
% 74.38/12.58 % (1664491)Instructions burned: 193 (million)
% 74.38/12.58 % (1664493)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3917299092:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2942 on theBenchmark for (2942ds/4850Mi)
% 74.38/12.58 % (1664493)Refutation not found, incomplete strategy
% 74.38/12.58 % (1664493)------------------------------
% 74.38/12.58 % (1664493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.38/12.58 % (1664493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.38/12.58 % (1664493)CaDiCaL version: 2.1.3
% 74.38/12.58 % (1664493)Termination reason: Refutation not found, incomplete strategy
% 74.38/12.58 % (1664493)Time elapsed: 0.002 s
% 74.38/12.58 % (1664493)Peak memory usage: 88 MB
% 74.38/12.58 % (1664493)Instructions burned: 1 (million)
% 74.38/12.58 % (1664493)------------------------------
% 74.38/12.58 % (1664493)------------------------------
% 74.38/12.58 % (1664495)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3032624779:i=12111:sd=1:ss=included_2935 on theBenchmark for (2935ds/12111Mi)
% 74.38/12.58 % (1664463)Instruction limit reached!
% 74.38/12.58 % (1664463)------------------------------
% 74.38/12.58 % (1664463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.38/12.58 % (1664463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.38/12.58 % (1664463)CaDiCaL version: 2.1.3
% 74.38/12.58 % (1664463)Termination reason: Instruction limit
% 74.38/12.58 % (1664463)Termination phase: Saturation
% 74.38/12.58 % (1664463)Time elapsed: 5.135 s
% 74.38/12.58 % (1664463)Peak memory usage: 170 MB
% 74.38/12.58 % (1664463)Instructions burned: 5202 (million)
% 74.38/12.58 % (1664497)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=986460669:i=319:kws=precedence:fsr=off_2926 on theBenchmark for (2926ds/319Mi)
% 74.38/12.58 % (1664497)Instruction limit reached!
% 74.38/12.58 % (1664497)------------------------------
% 74.38/12.58 % (1664497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.38/12.58 % (1664497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.38/12.58 % (1664497)CaDiCaL version: 2.1.3
% 74.38/12.58 % (1664497)Termination reason: Instruction limit
% 74.38/12.58 % (1664497)Termination phase: Saturation
% 74.38/12.58 % (1664497)Time elapsed: 0.303 s
% 74.38/12.58 % (1664497)Peak memory usage: 93 MB
% 74.38/12.58 % (1664497)Instructions burned: 319 (million)
% 74.38/12.58 % (1664499)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3215822013:i=2064:ep=RST_2920 on theBenchmark for (2920ds/2064Mi)
% 74.38/12.58 % (1664477)Instruction limit reached!
% 74.38/12.58 % (1664477)------------------------------
% 74.38/12.58 % (1664477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.38/12.58 % (1664477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.38/12.58 % (1664477)CaDiCaL version: 2.1.3
% 74.38/12.58 % (1664477)Termination reason: Instruction limit
% 74.38/12.58 % (1664477)Termination phase: Saturation
% 74.38/12.58 % (1664477)Time elapsed: 6.041 s
% 74.38/12.58 % (1664477)Peak memory usage: 190 MB
% 74.38/12.58 % (1664477)Instructions burned: 6061 (million)
% 74.38/12.58 % (1664501)dis-1011_128_sil=32000:random_seed=22206093:i=3706:ep=RST:av=off_2905 on theBenchmark for (2905ds/3706Mi)
% 74.38/12.58 % (1664499)Instruction limit reached!
% 74.38/12.58 % (1664499)------------------------------
% 74.38/12.58 % (1664499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.38/12.58 % (1664499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.38/12.58 % (1664499)CaDiCaL version: 2.1.3
% 74.38/12.58 % (1664499)Termination reason: Instruction limit
% 74.38/12.58 % (1664499)Termination phase: Saturation
% 74.38/12.58 % (1664499)Time elapsed: 1.925 s
% 74.38/12.58 % (1664499)Peak memory usage: 107 MB
% 74.38/12.58 % (1664499)Instructions burned: 2064 (million)
% 74.38/12.58 % (1664468)Instruction limit reached!
% 74.38/12.58 % (1664468)------------------------------
% 74.38/12.58 % (1664468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.38/12.58 % (1664468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.38/12.58 % (1664468)CaDiCaL version: 2.1.3
% 74.38/12.58 % (1664468)Termination reason: Instruction limit
% 74.38/12.58 % (1664468)Termination phase: Saturation
% 74.38/12.58 % (1664468)Time elapsed: 7.503 s
% 74.38/12.58 % (1664468)Peak memory usage: 234 MB
% 74.38/12.58 % (1664468)Instructions burned: 13193 (million)
% 74.38/12.58 % (1664503)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2943024108:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2898 on theBenchmark for (2898ds/757Mi)
% 74.38/12.58 % (1664504)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1122028815:i=13913:ss=axioms:sgt=8_2897 on theBenchmark for (2897ds/13913Mi)
% 74.38/12.58 % (1664503)Instruction limit reached!
% 74.38/12.58 % (1664503)------------------------------
% 74.38/12.58 % (1664503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.38/12.58 % (1664503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.38/12.58 % (1664503)CaDiCaL version: 2.1.3
% 74.38/12.58 % (1664503)Termination reason: Instruction limit
% 74.38/12.58 % (1664503)Termination phase: Saturation
% 74.38/12.58 % (1664503)Time elapsed: 0.589 s
% 74.38/12.58 % (1664503)Peak memory usage: 91 MB
% 74.38/12.58 % (1664503)Instructions burned: 758 (million)
% 74.38/12.58 % (1664482)First to succeed.
% 74.38/12.58 % (1664482)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1664420"
% 74.38/12.58 % (1664425)Also succeeded, but the first one will report.
% 74.38/12.58 % (1664507)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3028577631:i=9925:aac=none_2889 on theBenchmark for (2889ds/9925Mi)
% 74.38/12.58 % (1664482)Refutation found. Thanks to Tanya!
% 74.38/12.58 % SZS status Theorem for theBenchmark
% 74.38/12.58 % SZS output start Proof for theBenchmark
% See solution above
% 82.93/12.85 % (1664482)------------------------------
% 82.93/12.85 % (1664482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.93/12.85 % (1664482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.93/12.85 % (1664482)CaDiCaL version: 2.1.3
% 82.93/12.85 % (1664482)Termination reason: Refutation
% 82.93/12.85 % (1664482)Time elapsed: 7.177 s
% 82.93/12.85 % (1664482)Peak memory usage: 187 MB
% 82.93/12.85 % (1664482)Instructions burned: 6841 (million)
% 82.93/12.85 % (1664482)------------------------------
% 82.93/12.85 % (1664482)------------------------------
% 82.93/12.85 % (1664420)Success in time 11.62 s
% 82.93/12.85 % Vampire exiting
%------------------------------------------------------------------------------