%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE102+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 : n002.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 84.67s 12.56s
% Output : Refutation 84.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 37
% Syntax : Number of formulae : 216 ( 212 unt; 16 def)
% Number of atoms : 220 ( 219 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 : 135 ( 132 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain1) ).
fof(f14,axiom,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain2) ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain3) ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain4) ).
fof(f17,axiom,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',codomain1) ).
fof(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(domain(X1),backward_diamond(X0,domain(X2))) = zero
=> multiplication(forward_diamond(X0,domain(X1)),domain(X2)) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f28,negated_conjecture,
~ ! [X0,X1,X2] :
( multiplication(domain(X1),backward_diamond(X0,domain(X2))) = zero
=> multiplication(forward_diamond(X0,domain(X1)),domain(X2)) = zero ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
? [X0,X1,X2] :
( zero != multiplication(forward_diamond(X0,domain(X1)),domain(X2))
& multiplication(domain(X1),backward_diamond(X0,domain(X2))) = zero ),
inference(ennf_transformation,[],[f28]) ).
fof(f30,plain,
( zero != multiplication(forward_diamond(sK0,domain(sK1)),domain(sK2))
& zero = multiplication(domain(sK1),backward_diamond(sK0,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(domain(sK1),backward_diamond(sK0,domain(sK2))),
inference(cnf_transformation,[],[f30]) ).
fof(f57,plain,
zero != multiplication(forward_diamond(sK0,domain(sK1)),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(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(sK2))),
inference(definition_unfolding,[],[f57,f62,f45,f45]) ).
fof(f65,plain,
zero = multiplication(antidomain(antidomain(sK1)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(sK2)))),sK0)))),
inference(definition_unfolding,[],[f56,f45,f59,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(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f71,plain,
antidomain(sF4) = 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 = multiplication(sK0,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f75,plain,
multiplication(sK0,sF6) = sF7,
inference(reorient_equations,[],[f74]) ).
fof(f76,definition,
sF8 = antidomain(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f77,plain,
antidomain(sF7) = sF8,
inference(reorient_equations,[],[f76]) ).
fof(f78,definition,
sF9 = antidomain(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f79,plain,
antidomain(sF8) = sF9,
inference(reorient_equations,[],[f78]) ).
fof(f80,definition,
sF10 = antidomain(sK2),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f81,plain,
antidomain(sK2) = sF10,
inference(reorient_equations,[],[f80]) ).
fof(f82,definition,
sF11 = antidomain(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f83,plain,
antidomain(sF10) = sF11,
inference(reorient_equations,[],[f82]) ).
fof(f84,definition,
sF12 = multiplication(sF9,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f85,plain,
multiplication(sF9,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 = coantidomain(sF11),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f88,plain,
coantidomain(sF11) = sF13,
inference(reorient_equations,[],[f87]) ).
fof(f89,definition,
sF14 = coantidomain(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f90,plain,
coantidomain(sF13) = sF14,
inference(reorient_equations,[],[f89]) ).
fof(f91,definition,
sF15 = multiplication(sF14,sK0),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f92,plain,
multiplication(sF14,sK0) = sF15,
inference(reorient_equations,[],[f91]) ).
fof(f93,definition,
sF16 = coantidomain(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f94,plain,
coantidomain(sF15) = sF16,
inference(reorient_equations,[],[f93]) ).
fof(f95,definition,
sF17 = coantidomain(sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f96,plain,
coantidomain(sF16) = sF17,
inference(reorient_equations,[],[f95]) ).
fof(f97,definition,
sF18 = multiplication(sF4,sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f98,plain,
multiplication(sF4,sF17) = sF18,
inference(reorient_equations,[],[f97]) ).
fof(f99,plain,
zero = sF18,
inference(definition_folding,[],[f65,f98,f96,f94,f92,f90,f88,f83,f81,f69,f67]) ).
fof(f100,plain,
zero = multiplication(sF4,sF17),
inference(forward_demodulation,[],[f98,f99]) ).
fof(f107,plain,
zero = multiplication(sF9,sF8),
inference(superposition,[],[f42,f79]) ).
fof(f110,plain,
zero = antidomain(one),
inference(superposition,[],[f36,f42]) ).
fof(f113,plain,
zero = multiplication(sF15,sF16),
inference(superposition,[],[f46,f94]) ).
fof(f116,plain,
zero = coantidomain(one),
inference(superposition,[],[f37,f46]) ).
fof(f121,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f33,f31]) ).
fof(f123,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f44,f110]) ).
fof(f126,plain,
one = addition(antidomain(sF4),sF4),
inference(superposition,[],[f44,f69]) ).
fof(f128,plain,
one = addition(antidomain(sF6),sF6),
inference(superposition,[],[f44,f73]) ).
fof(f129,plain,
one = addition(antidomain(sF8),sF8),
inference(superposition,[],[f44,f77]) ).
fof(f130,plain,
one = addition(antidomain(sF9),sF9),
inference(superposition,[],[f44,f79]) ).
fof(f131,plain,
one = addition(antidomain(sF11),sF11),
inference(superposition,[],[f44,f83]) ).
fof(f135,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f31,f44]) ).
fof(f136,plain,
one = addition(sF11,antidomain(sF11)),
inference(forward_demodulation,[],[f131,f31]) ).
fof(f137,plain,
one = addition(sF9,antidomain(sF9)),
inference(forward_demodulation,[],[f130,f31]) ).
fof(f138,plain,
one = addition(sF8,antidomain(sF8)),
inference(forward_demodulation,[],[f129,f31]) ).
fof(f139,plain,
one = addition(sF6,antidomain(sF6)),
inference(forward_demodulation,[],[f128,f31]) ).
fof(f141,plain,
one = addition(sF4,antidomain(sF4)),
inference(forward_demodulation,[],[f126,f31]) ).
fof(f144,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f123,f33]) ).
fof(f145,plain,
one = addition(sF8,sF9),
inference(forward_demodulation,[],[f138,f79]) ).
fof(f147,plain,
one = addition(sF4,sF5),
inference(forward_demodulation,[],[f141,f71]) ).
fof(f156,plain,
one = addition(coantidomain(zero),zero),
inference(superposition,[],[f48,f116]) ).
fof(f157,plain,
one = addition(coantidomain(sF13),sF13),
inference(superposition,[],[f48,f88]) ).
fof(f158,plain,
one = addition(coantidomain(sF14),sF14),
inference(superposition,[],[f48,f90]) ).
fof(f159,plain,
one = addition(coantidomain(sF16),sF16),
inference(superposition,[],[f48,f94]) ).
fof(f160,plain,
one = addition(coantidomain(sF17),sF17),
inference(superposition,[],[f48,f96]) ).
fof(f164,plain,
! [X0] : one = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(superposition,[],[f31,f48]) ).
fof(f165,plain,
one = addition(sF17,coantidomain(sF17)),
inference(forward_demodulation,[],[f160,f31]) ).
fof(f166,plain,
one = addition(sF16,coantidomain(sF16)),
inference(forward_demodulation,[],[f159,f31]) ).
fof(f167,plain,
one = addition(sF14,coantidomain(sF14)),
inference(forward_demodulation,[],[f158,f31]) ).
fof(f168,plain,
one = addition(sF13,coantidomain(sF13)),
inference(forward_demodulation,[],[f157,f31]) ).
fof(f169,plain,
one = coantidomain(zero),
inference(forward_demodulation,[],[f156,f33]) ).
fof(f170,plain,
one = addition(sF16,sF17),
inference(forward_demodulation,[],[f166,f96]) ).
fof(f171,plain,
one = addition(sF13,sF14),
inference(forward_demodulation,[],[f168,f90]) ).
fof(f177,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f32,f34]) ).
fof(f201,plain,
! [X0,X1] : multiplication(zero,X1) = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(superposition,[],[f35,f42]) ).
fof(f202,plain,
! [X0] : multiplication(sK0,multiplication(sF6,X0)) = multiplication(sF7,X0),
inference(superposition,[],[f35,f75]) ).
fof(f205,plain,
! [X0] : multiplication(sF9,multiplication(sF11,X0)) = multiplication(sF12,X0),
inference(superposition,[],[f35,f85]) ).
fof(f206,plain,
! [X0] : multiplication(sF14,multiplication(sK0,X0)) = multiplication(sF15,X0),
inference(superposition,[],[f35,f92]) ).
fof(f212,plain,
! [X0,X1] : zero = multiplication(X0,multiplication(X1,coantidomain(multiplication(X0,X1)))),
inference(superposition,[],[f46,f35]) ).
fof(f217,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(forward_demodulation,[],[f201,f41]) ).
fof(f229,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f38,f36]) ).
fof(f244,plain,
! [X0,X1] : addition(multiplication(X0,X1),zero) = multiplication(X0,addition(X1,coantidomain(X0))),
inference(superposition,[],[f38,f46]) ).
fof(f272,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(X0,addition(X1,coantidomain(X0))),
inference(forward_demodulation,[],[f244,f33]) ).
fof(f309,plain,
! [X0] : multiplication(addition(sF4,X0),sF17) = addition(zero,multiplication(X0,sF17)),
inference(superposition,[],[f39,f100]) ).
fof(f316,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = addition(multiplication(X0,coantidomain(X1)),zero),
inference(superposition,[],[f39,f46]) ).
fof(f320,plain,
! [X0,X1] : addition(multiplication(X0,X1),zero) = multiplication(addition(X0,antidomain(X1)),X1),
inference(superposition,[],[f39,f42]) ).
fof(f336,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X1,X2),multiplication(X0,X2)),
inference(superposition,[],[f31,f39]) ).
fof(f346,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f320,f33]) ).
fof(f349,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = multiplication(X0,coantidomain(X1)),
inference(forward_demodulation,[],[f316,f33]) ).
fof(f353,plain,
! [X0] : multiplication(addition(sF4,X0),sF17) = multiplication(X0,sF17),
inference(forward_demodulation,[],[f309,f121]) ).
fof(f398,plain,
! [X0] : antidomain(multiplication(X0,antidomain(sF8))) = addition(antidomain(multiplication(X0,sF7)),antidomain(multiplication(X0,antidomain(sF8)))),
inference(superposition,[],[f43,f77]) ).
fof(f410,plain,
! [X0] : antidomain(multiplication(X0,sF9)) = addition(antidomain(multiplication(X0,sF7)),antidomain(multiplication(X0,sF9))),
inference(forward_demodulation,[],[f398,f79]) ).
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(f787,plain,
! [X0] : multiplication(addition(sF9,X0),sF8) = addition(zero,multiplication(X0,sF8)),
inference(superposition,[],[f39,f107]) ).
fof(f792,plain,
! [X0] : multiplication(X0,sF8) = multiplication(addition(sF9,X0),sF8),
inference(forward_demodulation,[],[f787,f121]) ).
fof(f939,plain,
! [X0] : multiplication(zero,X0) = multiplication(sF15,multiplication(sF16,X0)),
inference(superposition,[],[f35,f113]) ).
fof(f952,plain,
! [X0] : zero = multiplication(sF15,multiplication(sF16,X0)),
inference(forward_demodulation,[],[f939,f41]) ).
fof(f1097,plain,
! [X0] : addition(one,X0) = addition(sF8,addition(sF9,X0)),
inference(superposition,[],[f32,f145]) ).
fof(f1225,plain,
multiplication(sF5,sF17) = multiplication(one,sF17),
inference(superposition,[],[f353,f147]) ).
fof(f1227,plain,
sF17 = multiplication(sF5,sF17),
inference(forward_demodulation,[],[f1225,f37]) ).
fof(f1629,plain,
zero = multiplication(antidomain(sF5),sF17),
inference(superposition,[],[f217,f1227]) ).
fof(f1655,plain,
zero = multiplication(sF6,sF17),
inference(forward_demodulation,[],[f1629,f73]) ).
fof(f1668,plain,
! [X0] : addition(zero,multiplication(X0,sF17)) = multiplication(addition(sF6,X0),sF17),
inference(superposition,[],[f39,f1655]) ).
fof(f1674,plain,
! [X0] : multiplication(X0,sF17) = multiplication(addition(sF6,X0),sF17),
inference(forward_demodulation,[],[f1668,f121]) ).
fof(f1768,plain,
! [X0] : one = addition(antidomain(X0),one),
inference(superposition,[],[f177,f135]) ).
fof(f1771,plain,
! [X0] : one = addition(coantidomain(X0),one),
inference(superposition,[],[f177,f164]) ).
fof(f1777,plain,
one = addition(sF9,one),
inference(superposition,[],[f177,f137]) ).
fof(f1779,plain,
one = addition(sF11,one),
inference(superposition,[],[f177,f136]) ).
fof(f1780,plain,
one = addition(sF13,one),
inference(superposition,[],[f177,f171]) ).
fof(f1784,plain,
one = addition(sF17,one),
inference(superposition,[],[f177,f165]) ).
fof(f1798,plain,
one = addition(one,sF17),
inference(forward_demodulation,[],[f1784,f31]) ).
fof(f1802,plain,
one = addition(one,sF13),
inference(forward_demodulation,[],[f1780,f31]) ).
fof(f1803,plain,
one = addition(one,sF11),
inference(forward_demodulation,[],[f1779,f31]) ).
fof(f1805,plain,
one = addition(one,sF9),
inference(forward_demodulation,[],[f1777,f31]) ).
fof(f1811,plain,
! [X0] : one = addition(one,coantidomain(X0)),
inference(forward_demodulation,[],[f1771,f31]) ).
fof(f1813,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f1768,f31]) ).
fof(f1818,plain,
multiplication(one,sF17) = multiplication(antidomain(sF6),sF17),
inference(superposition,[],[f1674,f139]) ).
fof(f1841,plain,
sF17 = multiplication(antidomain(sF6),sF17),
inference(forward_demodulation,[],[f1818,f37]) ).
fof(f1934,plain,
! [X0] : multiplication(sF15,multiplication(sF6,X0)) = multiplication(sF14,multiplication(sF7,X0)),
inference(superposition,[],[f206,f202]) ).
fof(f2270,plain,
! [X0] : multiplication(sF9,multiplication(sF11,X0)) = multiplication(sF12,addition(X0,coantidomain(sF11))),
inference(superposition,[],[f205,f272]) ).
fof(f2280,plain,
! [X0] : multiplication(sF9,multiplication(sF11,X0)) = multiplication(sF12,addition(X0,sF13)),
inference(forward_demodulation,[],[f2270,f88]) ).
fof(f2311,plain,
! [X0] : multiplication(sF12,X0) = multiplication(sF12,addition(X0,sF13)),
inference(forward_demodulation,[],[f2280,f205]) ).
fof(f3200,plain,
multiplication(antidomain(sF6),addition(one,sF17)) = addition(antidomain(sF6),sF17),
inference(superposition,[],[f229,f1841]) ).
fof(f3250,plain,
multiplication(sF9,addition(one,sF11)) = addition(sF9,sF12),
inference(superposition,[],[f229,f85]) ).
fof(f3312,plain,
addition(sF9,sF12) = multiplication(sF9,one),
inference(forward_demodulation,[],[f3250,f1803]) ).
fof(f3358,plain,
multiplication(antidomain(sF6),addition(one,sF17)) = addition(sF17,antidomain(sF6)),
inference(forward_demodulation,[],[f3200,f31]) ).
fof(f3389,plain,
sF9 = addition(sF9,sF12),
inference(forward_demodulation,[],[f3312,f36]) ).
fof(f3422,plain,
addition(sF17,antidomain(sF6)) = multiplication(antidomain(sF6),one),
inference(forward_demodulation,[],[f3358,f1798]) ).
fof(f3441,plain,
antidomain(sF6) = addition(sF17,antidomain(sF6)),
inference(forward_demodulation,[],[f3422,f36]) ).
fof(f3499,plain,
multiplication(sF17,sF6) = multiplication(antidomain(sF6),sF6),
inference(superposition,[],[f346,f3441]) ).
fof(f3509,plain,
zero = multiplication(sF17,sF6),
inference(forward_demodulation,[],[f3499,f42]) ).
fof(f3564,plain,
! [X0] : multiplication(addition(X0,sF17),sF6) = addition(multiplication(X0,sF6),zero),
inference(superposition,[],[f39,f3509]) ).
fof(f3576,plain,
! [X0] : multiplication(X0,sF6) = multiplication(addition(X0,sF17),sF6),
inference(forward_demodulation,[],[f3564,f33]) ).
fof(f6101,plain,
multiplication(sF13,coantidomain(sF14)) = multiplication(one,coantidomain(sF14)),
inference(superposition,[],[f349,f171]) ).
fof(f6158,plain,
coantidomain(sF14) = multiplication(sF13,coantidomain(sF14)),
inference(forward_demodulation,[],[f6101,f37]) ).
fof(f7033,plain,
coantidomain(coantidomain(sF13)) = addition(sF13,coantidomain(coantidomain(sF13))),
inference(superposition,[],[f481,f88]) ).
fof(f7059,plain,
coantidomain(sF14) = addition(sF13,coantidomain(sF14)),
inference(forward_demodulation,[],[f7033,f90]) ).
fof(f54249,plain,
multiplication(one,sF6) = multiplication(sF16,sF6),
inference(superposition,[],[f3576,f170]) ).
fof(f54321,plain,
sF6 = multiplication(sF16,sF6),
inference(forward_demodulation,[],[f54249,f37]) ).
fof(f57786,plain,
zero = multiplication(sF15,sF6),
inference(superposition,[],[f952,f54321]) ).
fof(f58245,plain,
zero = multiplication(sF15,multiplication(sF6,coantidomain(zero))),
inference(superposition,[],[f212,f57786]) ).
fof(f58289,plain,
zero = multiplication(sF14,multiplication(sF7,coantidomain(zero))),
inference(forward_demodulation,[],[f58245,f1934]) ).
fof(f58316,plain,
zero = multiplication(sF14,multiplication(sF7,one)),
inference(forward_demodulation,[],[f58289,f169]) ).
fof(f58332,plain,
zero = multiplication(sF14,sF7),
inference(forward_demodulation,[],[f58316,f36]) ).
fof(f58481,plain,
antidomain(multiplication(sF14,sF9)) = addition(antidomain(zero),antidomain(multiplication(sF14,sF9))),
inference(superposition,[],[f410,f58332]) ).
fof(f58541,plain,
antidomain(multiplication(sF14,sF9)) = addition(one,antidomain(multiplication(sF14,sF9))),
inference(forward_demodulation,[],[f58481,f144]) ).
fof(f58563,plain,
one = antidomain(multiplication(sF14,sF9)),
inference(forward_demodulation,[],[f58541,f1813]) ).
fof(f59757,plain,
zero = multiplication(one,multiplication(sF14,sF9)),
inference(superposition,[],[f42,f58563]) ).
fof(f59788,plain,
zero = multiplication(sF14,sF9),
inference(forward_demodulation,[],[f59757,f37]) ).
fof(f59903,plain,
! [X0] : addition(multiplication(X0,sF9),zero) = multiplication(addition(sF14,X0),sF9),
inference(superposition,[],[f336,f59788]) ).
fof(f59916,plain,
! [X0] : multiplication(X0,sF9) = multiplication(addition(sF14,X0),sF9),
inference(forward_demodulation,[],[f59903,f33]) ).
fof(f62275,plain,
addition(sF13,coantidomain(sF14)) = multiplication(sF13,addition(one,coantidomain(sF14))),
inference(superposition,[],[f229,f6158]) ).
fof(f62311,plain,
multiplication(sF13,one) = addition(sF13,coantidomain(sF14)),
inference(forward_demodulation,[],[f62275,f1811]) ).
fof(f62326,plain,
coantidomain(sF14) = multiplication(sF13,one),
inference(forward_demodulation,[],[f62311,f7059]) ).
fof(f62332,plain,
sF13 = coantidomain(sF14),
inference(forward_demodulation,[],[f62326,f36]) ).
fof(f79972,plain,
multiplication(sF9,sF8) = multiplication(sF12,sF8),
inference(superposition,[],[f792,f3389]) ).
fof(f80061,plain,
zero = multiplication(sF12,sF8),
inference(forward_demodulation,[],[f79972,f107]) ).
fof(f107150,plain,
multiplication(one,sF9) = multiplication(coantidomain(sF14),sF9),
inference(superposition,[],[f59916,f167]) ).
fof(f107250,plain,
multiplication(one,sF9) = multiplication(sF13,sF9),
inference(forward_demodulation,[],[f107150,f62332]) ).
fof(f107275,plain,
sF9 = multiplication(sF13,sF9),
inference(forward_demodulation,[],[f107250,f37]) ).
fof(f107410,plain,
multiplication(sF13,addition(one,sF9)) = addition(sF13,sF9),
inference(superposition,[],[f229,f107275]) ).
fof(f107447,plain,
multiplication(sF13,addition(one,sF9)) = addition(sF9,sF13),
inference(forward_demodulation,[],[f107410,f31]) ).
fof(f107466,plain,
multiplication(sF13,one) = addition(sF9,sF13),
inference(forward_demodulation,[],[f107447,f1805]) ).
fof(f107477,plain,
sF13 = addition(sF9,sF13),
inference(forward_demodulation,[],[f107466,f36]) ).
fof(f107698,plain,
addition(one,sF13) = addition(sF8,sF13),
inference(superposition,[],[f1097,f107477]) ).
fof(f107725,plain,
one = addition(sF8,sF13),
inference(forward_demodulation,[],[f107698,f1802]) ).
fof(f108469,plain,
multiplication(sF12,one) = multiplication(sF12,sF8),
inference(superposition,[],[f2311,f107725]) ).
fof(f108502,plain,
zero = multiplication(sF12,one),
inference(forward_demodulation,[],[f108469,f80061]) ).
fof(f108509,plain,
zero = sF12,
inference(forward_demodulation,[],[f108502,f36]) ).
fof(f108512,plain,
$false,
inference(forward_subsumption_resolution,[],[f108509,f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE102+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.50 % Computer : n002.cluster.edu
% 0.23/0.50 % Model : x86_64 x86_64
% 0.23/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.50 % Memory : 8046.5625MB
% 0.23/0.50 % OS : Linux 6.8.0-71-generic
% 0.23/0.50 % CPULimit : 300
% 0.23/0.50 % WCLimit : 300
% 0.23/0.50 % DateTime : Sun Sep 27 13:12:38 UTC 2026
% 0.23/0.50 % CPUTime :
% 0.23/0.50 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.27/0.56 Running first-order model finding
% 0.27/0.56 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
% 28.50/4.68 % (3517238)Will run a generic schedule for satisfiability detection.
% 28.50/4.68 % (3517243)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4207431230_2999 on theBenchmark for (2999ds/0Mi)
% 28.50/4.68 % TRYING [1]
% 28.50/4.68 % TRYING [2]
% 28.50/4.68 % TRYING [3]
% 28.50/4.68 % (3517244)% WARNING: option uhcvi not known.
% 28.50/4.68 % TRYING [4]
% 28.50/4.68 % (3517244)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3383100256:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 28.50/4.68 % (3517247)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=858610274:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 28.50/4.68 % (3517245)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2951683061:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 28.50/4.68 % (3517246)dis+10_1_sil=32000:sp=arity:random_seed=3625849709:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 28.50/4.68 % (3517249)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3560828838:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 28.50/4.68 % (3517248)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1446288459:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 28.50/4.68 % TRYING [5]
% 28.50/4.68 % (3517246)Instruction limit reached!
% 28.50/4.68 % (3517246)------------------------------
% 28.50/4.68 % (3517246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.50/4.68 % (3517246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.50/4.68 % (3517246)CaDiCaL version: 2.1.3
% 28.50/4.68 % (3517246)Termination reason: Instruction limit
% 28.50/4.68 % (3517246)Termination phase: Saturation
% 28.50/4.68 % (3517246)Time elapsed: 0.097 s
% 28.50/4.68 % (3517246)Peak memory usage: 12 MB
% 28.50/4.68 % (3517246)Instructions burned: 104 (million)
% 28.50/4.68 % TRYING [6]
% 28.50/4.68 % (3517247)Instruction limit reached!
% 28.50/4.68 % (3517247)------------------------------
% 28.50/4.68 % (3517247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.50/4.68 % (3517247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.50/4.68 % (3517247)CaDiCaL version: 2.1.3
% 28.50/4.68 % (3517247)Termination reason: Instruction limit
% 28.50/4.68 % (3517247)Termination phase: Saturation
% 28.50/4.68 % (3517247)Time elapsed: 0.113 s
% 28.50/4.68 % (3517247)Peak memory usage: 13 MB
% 28.50/4.68 % (3517247)Instructions burned: 116 (million)
% 28.50/4.68 % (3517248)Instruction limit reached!
% 28.50/4.68 % (3517248)------------------------------
% 28.50/4.68 % (3517248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.50/4.68 % (3517248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.50/4.68 % (3517248)CaDiCaL version: 2.1.3
% 28.50/4.68 % (3517248)Termination reason: Instruction limit
% 28.50/4.68 % (3517248)Termination phase: Saturation
% 28.50/4.68 % (3517248)Time elapsed: 0.134 s
% 28.50/4.68 % (3517248)Peak memory usage: 13 MB
% 28.50/4.68 % (3517248)Instructions burned: 131 (million)
% 28.50/4.68 % (3517257)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=641769613:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 28.50/4.68 % TRYING [1]
% 28.50/4.68 % TRYING [2]
% 28.50/4.68 % (3517258)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2504266865:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 28.50/4.68 % TRYING [3]
% 28.50/4.68 % (3517249)Instruction limit reached!
% 28.50/4.68 % (3517249)------------------------------
% 28.50/4.68 % (3517249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.50/4.68 % (3517249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.50/4.68 % (3517249)CaDiCaL version: 2.1.3
% 28.50/4.68 % (3517249)Termination reason: Instruction limit
% 28.50/4.68 % (3517249)Termination phase: Saturation
% 28.50/4.68 % (3517249)Time elapsed: 0.160 s
% 28.50/4.68 % (3517249)Peak memory usage: 13 MB
% 28.50/4.68 % (3517249)Instructions burned: 159 (million)
% 28.50/4.68 % TRYING [4]
% 28.50/4.68 % (3517259)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=4138199300:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 28.50/4.68 % (3517262)ott-21_1_sil=16000:fs=off:random_seed=4002005236:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 28.50/4.68 % TRYING [5]
% 28.50/4.68 % (3517258)Instruction limit reached!
% 28.50/4.68 % (3517258)------------------------------
% 28.50/4.68 % (3517258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 84.67/12.55 % (3517258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.67/12.55 % (3517258)CaDiCaL version: 2.1.3
% 84.67/12.55 % (3517258)Termination reason: Instruction limit
% 84.67/12.55 % (3517258)Termination phase: Saturation
% 84.67/12.55 % (3517258)Time elapsed: 0.140 s
% 84.67/12.55 % (3517258)Peak memory usage: 13 MB
% 84.67/12.55 % (3517258)Instructions burned: 131 (million)
% 84.67/12.55 % (3517265)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3501244850:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 84.67/12.55 % (3517262)Instruction limit reached!
% 84.67/12.55 % (3517262)------------------------------
% 84.67/12.55 % (3517262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 84.67/12.55 % (3517262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.67/12.55 % (3517262)CaDiCaL version: 2.1.3
% 84.67/12.55 % (3517262)Termination reason: Instruction limit
% 84.67/12.55 % (3517262)Termination phase: Saturation
% 84.67/12.55 % (3517262)Time elapsed: 0.150 s
% 84.67/12.55 % (3517262)Peak memory usage: 12 MB
% 84.67/12.55 % (3517262)Instructions burned: 181 (million)
% 84.67/12.55 % (3517267)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=906964715:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 84.67/12.55 % TRYING [1]
% 84.67/12.55 % TRYING [2]
% 84.67/12.55 % TRYING [3]
% 84.67/12.55 % TRYING [6]
% 84.67/12.55 % TRYING [4]
% 84.67/12.55 % TRYING [7]
% 84.67/12.55 % TRYING [5]
% 84.67/12.55 % (3517257)Instruction limit reached!
% 84.67/12.55 % (3517257)------------------------------
% 84.67/12.55 % (3517257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 84.67/12.55 % (3517257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.67/12.55 % (3517257)CaDiCaL version: 2.1.3
% 84.67/12.55 % (3517257)Termination reason: Instruction limit
% 84.67/12.55 % (3517257)Termination phase: Finite model building SAT solving
% 84.67/12.55 % (3517257)Time elapsed: 0.612 s
% 84.67/12.55 % (3517257)Peak memory usage: 34 MB
% 84.67/12.55 % (3517257)Instructions burned: 714 (million)
% 84.67/12.55 % (3517265)Instruction limit reached!
% 84.67/12.55 % (3517265)------------------------------
% 84.67/12.55 % (3517265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 84.67/12.55 % (3517265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.67/12.56 % (3517265)CaDiCaL version: 2.1.3
% 84.67/12.56 % (3517265)Termination reason: Instruction limit
% 84.67/12.56 % (3517265)Termination phase: Saturation
% 84.67/12.56 % (3517265)Time elapsed: 0.436 s
% 84.67/12.56 % (3517265)Peak memory usage: 16 MB
% 84.67/12.56 % (3517265)Instructions burned: 477 (million)
% 84.67/12.56 % (3517259)Instruction limit reached!
% 84.67/12.56 % (3517259)------------------------------
% 84.67/12.56 % (3517259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 84.67/12.56 % (3517259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.67/12.56 % (3517259)CaDiCaL version: 2.1.3
% 84.67/12.56 % (3517259)Termination reason: Instruction limit
% 84.67/12.56 % (3517259)Termination phase: Saturation
% 84.67/12.56 % (3517259)Time elapsed: 0.620 s
% 84.67/12.56 % (3517259)Peak memory usage: 17 MB
% 84.67/12.56 % (3517259)Instructions burned: 684 (million)
% 84.67/12.56 % (3517269)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4072987593:i=1179_2991 on theBenchmark for (2991ds/1179Mi)
% 84.67/12.56 % (3517270)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1993632360:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 84.67/12.56 % (3517271)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=3071949333: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)
% 84.67/12.56 % TRYING [6]
% 84.67/12.56 % (3517267)Instruction limit reached!
% 84.67/12.56 % (3517267)------------------------------
% 84.67/12.56 % (3517267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 84.67/12.56 % (3517267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.67/12.56 % (3517267)CaDiCaL version: 2.1.3
% 84.67/12.56 % (3517267)Termination reason: Instruction limit
% 84.67/12.56 % (3517267)Termination phase: Finite model building constraint generation
% 84.67/12.56 % (3517267)Time elapsed: 0.630 s
% 84.67/12.56 % (3517267)Peak memory usage: 26 MB
% 84.67/12.56 % (3517267)Instructions burned: 866 (million)
% 84.67/12.56 % (3517275)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2150508632:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 84.67/12.56 % TRYING [14]
% 84.67/12.56 % (3517270)Instruction limit reached!
% 84.67/12.56 % (3517270)------------------------------
% 84.67/12.56 % (3517270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 84.67/12.56 % (3517270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.67/12.56 % (3517270)CaDiCaL version: 2.1.3
% 84.67/12.56 % (3517270)Termination reason: Instruction limit
% 84.67/12.56 % (3517270)Termination phase: Finite model building constraint generation
% 84.67/12.56 % (3517270)Time elapsed: 0.668 s
% 84.67/12.56 % (3517270)Peak memory usage: 80 MB
% 84.67/12.56 % (3517270)Instructions burned: 890 (million)
% 84.67/12.56 % (3517271)Instruction limit reached!
% 84.67/12.56 % (3517271)------------------------------
% 84.67/12.56 % (3517271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 84.67/12.56 % (3517271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.67/12.56 % (3517271)CaDiCaL version: 2.1.3
% 84.67/12.56 % (3517271)Termination reason: Instruction limit
% 84.67/12.56 % (3517271)Termination phase: Saturation
% 84.67/12.56 % (3517271)Time elapsed: 0.660 s
% 84.67/12.56 % (3517271)Peak memory usage: 17 MB
% 84.67/12.56 % (3517271)Instructions burned: 694 (million)
% 84.67/12.56 % (3517277)fmb+10_1_sil=64000:random_seed=3147009675:i=22061:nm=2:gsp=on_2984 on theBenchmark for (2984ds/22061Mi)
% 84.67/12.56 % (3517278)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1472472910:i=9515:nm=5_2984 on theBenchmark for (2984ds/9515Mi)
% 84.67/12.56 % TRYING [1]
% 84.67/12.56 % TRYING [20]
% 84.67/12.56 % TRYING [2]
% 84.67/12.56 % TRYING [3]
% 84.67/12.56 % TRYING [4]
% 84.67/12.56 % TRYING [5]
% 84.67/12.56 % (3517275)Instruction limit reached!
% 84.67/12.56 % (3517275)------------------------------
% 84.67/12.56 % (3517275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 84.67/12.56 % (3517275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.67/12.56 % (3517275)CaDiCaL version: 2.1.3
% 84.67/12.56 % (3517275)Termination reason: Instruction limit
% 84.67/12.56 % (3517275)Termination phase: Saturation
% 84.67/12.56 % (3517275)Time elapsed: 0.799 s
% 84.67/12.56 % (3517275)Peak memory usage: 18 MB
% 84.67/12.56 % (3517275)Instructions burned: 880 (million)
% 84.67/12.56 % (3517281)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3104353619:fmbsr=1.7:i=920_2980 on theBenchmark for (2980ds/920Mi)
% 84.67/12.56 % TRYING [8]
% 84.67/12.56 % (3517269)Instruction limit reached!
% 84.67/12.56 % (3517269)------------------------------
% 84.67/12.56 % (3517269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 84.67/12.56 % (3517269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.67/12.56 % (3517269)CaDiCaL version: 2.1.3
% 84.67/12.56 % (3517269)Termination reason: Instruction limit
% 84.67/12.56 % (3517269)Termination phase: Saturation
% 84.67/12.56 % (3517269)Time elapsed: 1.142 s
% 84.67/12.56 % (3517269)Peak memory usage: 22 MB
% 84.67/12.56 % (3517269)Instructions burned: 1180 (million)
% 84.67/12.56 % (3517283)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=261281522:i=5131_2979 on theBenchmark for (2979ds/5131Mi)
% 84.67/12.56 % TRYING [6]
% 84.67/12.56 % (3517281)Instruction limit reached!
% 84.67/12.56 % (3517281)------------------------------
% 84.67/12.56 % (3517281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 84.67/12.56 % (3517281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.67/12.56 % (3517281)CaDiCaL version: 2.1.3
% 84.67/12.56 % (3517281)Termination reason: Instruction limit
% 84.67/12.56 % (3517281)Termination phase: Finite model building constraint generation
% 84.67/12.56 % (3517281)Time elapsed: 0.686 s
% 84.67/12.56 % (3517281)Peak memory usage: 69 MB
% 84.67/12.56 % (3517281)Instructions burned: 921 (million)
% 84.67/12.56 % (3517285)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=69517991:i=1472:ins=7:fdi=8:gsp=on_2973 on theBenchmark for (2973ds/1472Mi)
% 84.67/12.56 % TRYING [8]
% 84.67/12.56 % TRYING [7]
% 84.67/12.56 % (3517285)Instruction limit reached!
% 84.67/12.56 % (3517285)------------------------------
% 84.67/12.56 % (3517285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 84.67/12.56 % (3517285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.67/12.56 % (3517285)CaDiCaL version: 2.1.3
% 84.67/12.56 % (3517285)Termination reason: Instruction limit
% 84.67/12.56 % (3517285)Termination phase: Saturation
% 84.67/12.56 % (3517285)Time elapsed: 1.344 s
% 84.67/12.56 % (3517285)Peak memory usage: 28 MB
% 84.67/12.56 % (3517285)Instructions burned: 1472 (million)
% 84.67/12.56 % (3517287)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1583705282:i=6324_2959 on theBenchmark for (2959ds/6324Mi)
% 84.67/12.56 % TRYING [77]
% 84.67/12.56 % TRYING [8]
% 84.67/12.56 % (3517283)Instruction limit reached!
% 84.67/12.56 % (3517283)------------------------------
% 84.67/12.56 % (3517283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 84.67/12.56 % (3517283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.67/12.56 % (3517283)CaDiCaL version: 2.1.3
% 84.67/12.56 % (3517283)Termination reason: Instruction limit
% 84.67/12.56 % (3517283)Termination phase: Saturation
% 84.67/12.56 % (3517283)Time elapsed: 4.724 s
% 84.67/12.56 % (3517283)Peak memory usage: 45 MB
% 84.67/12.56 % (3517283)Instructions burned: 5131 (million)
% 84.67/12.56 % (3517289)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=595046838:fmbsr=2.30978:i=2174_2932 on theBenchmark for (2932ds/2174Mi)
% 84.67/12.56 % TRYING [16]
% 84.67/12.56 % (3517278)Instruction limit reached!
% 84.67/12.56 % (3517278)------------------------------
% 84.67/12.56 % (3517278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 84.67/12.56 % (3517278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.67/12.56 % (3517278)CaDiCaL version: 2.1.3
% 84.67/12.56 % (3517278)Termination reason: Instruction limit
% 84.67/12.56 % (3517278)Termination phase: Finite model building constraint generation
% 84.67/12.56 % (3517278)Time elapsed: 6.370 s
% 84.67/12.56 % (3517278)Peak memory usage: 611 MB
% 84.67/12.56 % (3517278)Instructions burned: 9516 (million)
% 84.67/12.56 % (3517291)ott-2_1_sil=16000:newcnf=on:random_seed=3610577905:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2919 on theBenchmark for (2919ds/869Mi)
% 84.67/12.56 % (3517289)Instruction limit reached!
% 84.67/12.56 % (3517289)------------------------------
% 84.67/12.56 % (3517289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 84.67/12.56 % (3517289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.67/12.56 % (3517289)CaDiCaL version: 2.1.3
% 84.67/12.56 % (3517289)Termination reason: Instruction limit
% 84.67/12.56 % (3517289)Termination phase: Finite model building constraint generation
% 84.67/12.56 % (3517289)Time elapsed: 1.448 s
% 84.67/12.56 % (3517289)Peak memory usage: 145 MB
% 84.67/12.56 % (3517289)Instructions burned: 2174 (million)
% 84.67/12.56 % (3517293)ott+10_1_sil=32000:tgt=ground:random_seed=4152982704:i=5114:av=off_2917 on theBenchmark for (2917ds/5114Mi)
% 84.67/12.56 % (3517287)Instruction limit reached!
% 84.67/12.56 % (3517287)------------------------------
% 84.67/12.56 % (3517287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 84.67/12.56 % (3517287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.67/12.56 % (3517287)CaDiCaL version: 2.1.3
% 84.67/12.56 % (3517287)Termination reason: Instruction limit
% 84.67/12.56 % (3517287)Termination phase: Finite model building constraint generation
% 84.67/12.56 % (3517287)Time elapsed: 4.525 s
% 84.67/12.56 % (3517287)Peak memory usage: 514 MB
% 84.67/12.56 % (3517287)Instructions burned: 6325 (million)
% 84.67/12.56 % (3517295)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1401506186:i=54282_2912 on theBenchmark for (2912ds/54282Mi)
% 84.67/12.56 % TRYING [1]
% 84.67/12.56 % TRYING [2]
% 84.67/12.56 % TRYING [3]
% 84.67/12.56 % TRYING [4]
% 84.67/12.56 % TRYING [5]
% 84.67/12.56 % (3517291)Instruction limit reached!
% 84.67/12.56 % (3517291)------------------------------
% 84.67/12.56 % (3517291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 84.67/12.56 % (3517291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.67/12.56 % (3517291)CaDiCaL version: 2.1.3
% 84.67/12.56 % (3517291)Termination reason: Instruction limit
% 84.67/12.56 % (3517291)Termination phase: Saturation
% 84.67/12.56 % (3517291)Time elapsed: 0.822 s
% 84.67/12.56 % (3517291)Peak memory usage: 21 MB
% 84.67/12.56 % (3517291)Instructions burned: 869 (million)
% 84.67/12.56 % TRYING [6]
% 84.67/12.56 % (3517297)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2339372081:i=3512:aac=none_2910 on theBenchmark for (2910ds/3512Mi)
% 84.67/12.56 % TRYING [7]
% 84.67/12.56 % (3517293) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3517238-3517293"...
% 84.67/12.56 % (3517293)...printing done.
% 84.67/12.56 % (3517293)Refutation found. Thanks to Tanya!
% 84.67/12.56 % SZS status Theorem for theBenchmark
% 84.67/12.56 % SZS output start Proof for theBenchmark
% See solution above
% 84.67/12.56 % (3517293)------------------------------
% 84.67/12.56 % (3517293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 84.67/12.56 % (3517293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.67/12.56 % (3517293)CaDiCaL version: 2.1.3
% 84.67/12.56 % (3517293)Termination reason: Refutation
% 84.67/12.56 % (3517293)Time elapsed: 3.586 s
% 84.67/12.56 % (3517293)Peak memory usage: 48 MB
% 84.67/12.56 % (3517293)Instructions burned: 3489 (million)
% 84.67/12.56 % (3517238)Success in time 11.984 s
% 84.67/12.56 % Vampire exiting
%------------------------------------------------------------------------------